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 1.11250804e+47
 3.90572306e+74
 5.10499063e+129
 2.65348106e+97
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 2.16664115e+70
 1.10455716e+62
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 2.72878375e+47
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 3.77471400e+72
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 1.20693522e+40
 3.15659397e+44
 2.46665043e+50
 5.57314409e+51
 1.10361781e+55
 2.37458935e+64
 Inf
 2.51336912e+03
 2.16149679e+102
 1.02731635e+92
 1.54635680e+116
 1.16526263e+91
 9.40777101e+81
 2.91098390e+72
 1.64311539e+54
 2.06043924e+156
 Inf
 4.32973436e+141
 Inf
 1.05663762e+235
 2.06418738e+171
 3.56916816e+149
 2.28659633e+110
 2.49273550e+99
 7.08788132e+96
 5.11462651e+156
 3.28696319e+174
 3.80967925e+127
 7.89276989e+238
 Inf
 1.46209088e+246
 4.61025540e+165
 6.55890167e+88
 7.48765836e+66
 1.68481346e+94
 3.19928296e+152
 1.24264275e+116
 3.82849497e+98
 2.87736749e+119
 1.29295323e+121
 5.17795574e+109
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 1.91183731e+157
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 2.70597489e+112
 1.71212041e+77
 1.14203278e+63
 3.87031574e+47
 1.83914209e+55
 4.74708446e+68
 3.14136012e+69
 2.48441890e+61
 4.66759960e+46
 3.63492465e+41
 4.79349833e+37
 2.58531635e+32
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 6.05589191e+36
 1.82509220e+41
 2.29541797e+37
 2.54187512e+29
 7.61270049e+27
 2.57131860e+45
 1.18957598e+66
 1.88857637e+49
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 6.22792757e+39
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 1.75973239e+59
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 2.58244762e+40
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 3.18123906e+31
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 5.50903059e+30
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 1.10518649e+29
 4.34090865e+20
 8.94819302e+16
 5.41406195e+18
 1.67052028e+20
 1.81182140e+36
 Inf
 1.39528596e+97
 4.27515065e+56
 1.70492203e+45
 9.76001530e+39
 2.34558203e+37
 3.16614364e+29
 6.30987320e+30
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 6.88201965e+23
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 1.79793699e+17
 2.11071942e+13
 1.20367338e+12
 6.06700387e+14
 1.30158887e+25
 9.34321777e+20
 3.01215771e+17
 2.67103278e+18
 1.82391580e+17
 6.37909947e+19
 1.09321840e+26
 5.56924566e+32
 1.35474716e+26
 9.28043029e+18
 3.76512297e+22
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 2.49665910e+19
 3.05971794e+14
 1.56098638e+22
 2.60342235e+48
 1.36158588e+22
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 4.46300351e+31
 2.54397978e+37
 2.56792565e+51
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 1.52449721e+17
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 3.92614763e+28
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 2.81263745e+84
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 5.58419695e+55
 3.76063689e+41
 4.08867573e+38
 5.16038837e+43
 6.92489596e+50
 2.07486543e+63
 1.30658945e+59
 6.74782262e+49
 7.39714140e+43
 1.27659502e+51
 3.91825719e+53
 1.04052891e+56
 4.11699340e+72
 1.43002189e+71
 1.46322732e+52
 2.68223225e+39
 2.44988387e+38
 4.39545988e+51
 4.43099658e+56
 1.58660484e+55
 1.04246120e+81
 6.75032108e+126
 3.60707931e+161
 Inf
 2.51332024e+03
 7.83843719e+252
 1.07380855e+68
 1.54591518e+51
 4.23870346e+55
 9.52706150e+63
 2.27894980e+78
 7.01579899e+256
 Inf
 1.03830095e+168
 5.78649900e+91
 4.73051234e+119
 1.65292829e+107
 1.41835768e+83
 3.14395798e+125
 2.51332506e+03
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 2.51801953e+03
 2.51885439e+03
 2.51801046e+03
 2.51729559e+03
 2.51838097e+03
 2.51830730e+03
 2.51740792e+03
 2.51775001e+03
 2.51754635e+03
 2.51718467e+03
 2.51685009e+03
 2.51758767e+03
 2.51933405e+03
 2.51863542e+03
 2.51763748e+03
 2.51725991e+03
 2.51839000e+03
 2.51865027e+03
 2.51739578e+03
 2.51712622e+03
 2.51732734e+03
 2.51839457e+03
 2.51810580e+03
 2.51676035e+03
 2.51628419e+03
 2.51679003e+03
 2.51791162e+03
 2.51911107e+03
 2.51959165e+03
 2.51973253e+03
 2.51971503e+03
 2.51830049e+03
 2.51800676e+03
 2.51827364e+03
 2.51848964e+03
 2.51872840e+03
 2.51835853e+03
 2.51815907e+03
 2.51793310e+03
 2.51766662e+03
 2.51750158e+03
 2.51835410e+03
 2.51868232e+03
 2.51771246e+03
 2.51733168e+03
 2.51658806e+03
 2.51705581e+03
 2.51764997e+03
 2.51790328e+03
 2.51908215e+03
 2.51871387e+03
 2.51805401e+03
 2.51787777e+03
 2.51788349e+03
 2.51977236e+03
 2.51995322e+03
 2.51798032e+03
 2.51767547e+03
 2.51785588e+03
 2.51775430e+03
 2.51730349e+03
 2.51708322e+03
 2.51726752e+03
 2.51777138e+03
 2.51866815e+03
 2.51812356e+03
 2.51700203e+03
 2.51764139e+03
 2.51734328e+03
 2.51678269e+03
 Inf
 2.79830137e+74
 2.21471161e+72
 2.06005772e+178
 2.51404135e+03
 2.51362759e+03
 2.51375433e+03
 2.51413090e+03
 2.51485093e+03
 2.51482765e+03
 2.51492926e+03
 2.51524211e+03
 2.51421958e+03
 2.51391788e+03
 2.51444637e+03
 2.51426652e+03
 2.51457683e+03
 2.51473819e+03
 2.51463881e+03
 2.51490377e+03
 2.51480131e+03
 2.51478434e+03
 2.51523931e+03
 2.51558507e+03
 2.51540424e+03
 2.51515659e+03
 2.51375434e+03
 2.51341165e+03
 2.51418700e+03
 2.51500171e+03
 2.51466915e+03
 2.51400861e+03
 2.51419268e+03
 2.51514025e+03
 2.51524523e+03
 2.51502789e+03
 2.51489621e+03
 2.51504371e+03
 2.51473814e+03
 2.51545098e+03
 2.51742010e+03
 2.51830976e+03
 2.51632208e+03
 2.51414013e+03
 2.51380960e+03
 2.51377808e+03
 2.51329818e+03
 2.51331446e+03
 2.51388480e+03
 2.51330103e+03
 Inf
 3.34002587e+248
 Inf
 2.51396828e+03
 2.51456107e+03
 2.51411440e+03
 2.51492925e+03
 2.51483822e+03
 2.51392267e+03
 2.51388179e+03
 2.51455199e+03
 2.51423900e+03
 2.51382129e+03
 2.51483844e+03
 2.51584278e+03
 2.51441430e+03
 2.51354038e+03
 2.51328502e+03
 2.51327460e+03
 2.51378087e+03
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 2.51327415e+03
 2.51332110e+03
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 2.51467623e+03
 2.51704826e+03
 2.51806302e+03
 2.51747269e+03
 2.51814557e+03
 2.51983851e+03
 2.52020616e+03
 2.51953125e+03
 2.52047984e+03
 2.52187055e+03
 2.52181115e+03
 2.52211098e+03
 2.52165007e+03
 2.52064111e+03
 2.52107298e+03
 2.52215850e+03
 2.52157509e+03
 2.52287750e+03
 2.52232437e+03
 2.52146726e+03
 2.52215801e+03
 2.52221565e+03
 2.52306342e+03
 2.52201647e+03
 2.52033672e+03
 2.52081942e+03
 2.52376620e+03
 2.52685787e+03
 2.52887766e+03
 2.52788606e+03
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 2.52616074e+03
 2.52515536e+03
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 2.52413591e+03
 2.52552171e+03
 2.52518090e+03
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 2.52729303e+03
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 2.52690090e+03
 2.52652363e+03
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 2.52498573e+03
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 2.52752432e+03
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 2.52848645e+03
 2.52668905e+03
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 2.52648548e+03
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 2.52786478e+03
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 2.53261139e+03
 2.53084249e+03
 2.53108838e+03
 2.53093386e+03
 2.52961553e+03
 2.52861143e+03
 2.52821763e+03
 2.52984110e+03
 2.52885178e+03
 2.53012515e+03
 2.53128884e+03
 2.53066725e+03
 2.53261936e+03
 2.53034619e+03
 2.52941680e+03
 2.53101833e+03
 2.52974336e+03
 2.52905099e+03
 2.53146526e+03
 2.47848408e+03
 2.52845525e+03
 2.52964583e+03
 2.53197841e+03
 2.52987283e+03
 2.53116014e+03
 2.53255941e+03
 2.53154072e+03
 2.53281178e+03
 2.53270700e+03
 2.53257653e+03
 2.53094359e+03
 2.52927231e+03
 2.52907102e+03
 2.52875151e+03
 2.52919965e+03
 2.53086027e+03
 2.51327438e+03
 1.81828180e+26
 6.52352837e+20
 6.87357716e+17
 2.31400008e+54
 2.51462728e+03
 3.13535881e+99
 8.25589370e+138
 5.22948293e+102
 6.52426278e+87
 1.70316302e+74
 3.43619844e+73
 8.08409586e+134
 2.82118198e+110
 2.33526032e+26
 1.02914515e+17
 3.89131470e+17
 4.98087576e+25
 Inf
 2.19932242e+143
 6.87475212e+22
 2.05835942e+18
 7.74120706e+17
 9.24862153e+16
 4.45126424e+17
 9.09621656e+17
 5.27106908e+16
 2.12467308e+17
 5.46239316e+22
 3.83877772e+131
 2.51329849e+03
 3.12883981e+27
 6.12633788e+17
 2.79825462e+16
 1.28179656e+17
 6.98618423e+16
 5.21340466e+16
 8.92568643e+16
 4.29790042e+17
 9.55262219e+25
 Inf
 Inf
 1.37558443e+24
 1.31587051e+16
 8.39428725e+16
 2.87768243e+16
 2.34639845e+16
 2.01287390e+16
 1.14481017e+16
 1.07323084e+16
 9.11620111e+19
 2.69410328e+94
 Inf
 2.75465804e+23
 6.43038363e+13
 2.44304571e+12
 5.52015422e+12
 9.40105143e+12
 7.18001446e+12
 9.20391708e+12
 7.33741069e+12
 5.21044078e+14
 1.27953417e+42
 9.02127591e+94
 4.21605420e+17
 8.09944665e+12
 2.18610500e+13
 4.54251594e+12
 3.52184269e+12
 7.39028795e+12
 1.27164070e+13
 5.43975933e+13
 7.13877604e+14
 6.59112637e+38
 2.07342917e+88
 8.38187884e+16
 7.04552961e+12
 1.50450084e+13
 1.04260612e+13
 1.27082566e+13
 1.07687764e+13
 4.30028750e+12
 5.20742697e+12
 5.53784489e+14
 8.25844796e+41
 1.39549062e+110
 3.78650801e+17
 8.14742378e+12
 4.34785227e+13
 9.02831384e+12
 1.60203963e+13
 6.80934378e+13
 7.03272649e+12
 1.31813909e+13
 7.01625631e+14
 3.11856111e+42
 2.51345016e+03
 1.86689618e+21
 1.92859608e+13
 5.34182710e+13
 7.01323193e+12
 4.92714160e+12
 8.68641524e+12
 1.46172816e+13
 1.21104288e+32
 2.52440740e+03
 2.48324724e+03
 Inf
 6.59051732e+53
 6.72789614e+23
 3.29864906e+20
 Inf
 2.12732733e+102
 2.29884691e+24
 6.97010402e+31
 3.06321465e+29
 1.51358003e+24
 5.56041252e+118
 Inf
 5.22170828e+30
 2.13471353e+28
 2.00736811e+59
 2.51439319e+03
 2.52004943e+03
 5.44021214e+51
 2.08714693e+18
 2.30726984e+16
 6.86828127e+13
 1.72203518e+12
 1.53397908e+17
 1.56130043e+218
 3.05524746e+25
 6.96579423e+11
 8.93231951e+17
 Inf
 9.23624211e+25
 7.42658173e+11
 6.14464107e+23
 2.51728367e+03
 2.51786373e+03
 7.05162137e+32
 3.79928335e+21
 1.13133795e+305
 1.04136002e+104
 6.67186112e+81
 2.51509166e+03
 1.82981917e+32
 6.99378883e+21
 2.78622325e+33
 7.84035890e+27
 7.54774005e+30
 3.45587151e+40
 2.73070896e+34
 2.34624752e+27
 7.12632688e+28
 9.53985354e+69
 2.51528984e+03
 2.51336015e+03
 5.85849883e+104
 2.88932036e+92
 6.98841360e+123
 4.69933881e+86
 2.49984161e+61
 3.27271328e+60
 2.36201717e+48
 5.75775908e+41
 1.45469060e+18
 1.18015381e+12
 2.13058649e+15
 9.11626810e+55
 4.46586547e+24
 9.75485626e+11
 3.15843939e+15
 1.60232386e+62
 3.96413961e+24
 2.40538452e+23
 2.51432484e+03
 2.51479967e+03
 7.59179653e+35
 9.57253772e+22
 4.11799578e+113
 2.51510247e+03
 7.18571923e+28
 1.79020655e+21
 6.47015923e+31
 2.78667371e+20
 8.18525465e+41
 2.29703865e+164
 5.18807522e+29
 7.68492268e+23
 5.12823205e+26
 3.00875842e+27
 3.81882123e+27
 6.09145937e+28
 2.85941181e+29
 7.23653221e+28
 1.29715834e+29
 1.07658074e+29
 3.13624286e+29
 3.12046541e+28
 1.94870988e+28
 2.12117204e+27
 2.67122317e+26
 1.77611527e+27
 2.32082641e+28
 4.82501179e+28
 1.14985149e+29
 1.76224430e+30
 5.25873502e+91
 2.22756606e+89
 7.12984539e+23
 5.24096097e+27
 3.24248803e+153
 2.51459968e+03
 2.51524515e+03
 2.51545699e+03
 2.51518943e+03
 2.51569819e+03
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 2.51910499e+03
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 2.52025278e+03
 2.51914942e+03
 2.51864068e+03
 2.51986895e+03
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 2.51453631e+03
 2.51461554e+03
 2.51458816e+03
 2.51446367e+03
 2.51459048e+03
 2.51454074e+03
 2.51452745e+03
 2.51453629e+03
 2.51401715e+03
 2.51390361e+03
 2.51415126e+03
 2.51419278e+03
 2.51436185e+03
 2.51439956e+03
 2.51430455e+03
 2.51413090e+03
 2.51453854e+03
 2.51457704e+03
 2.51416622e+03
 2.51421758e+03
 2.51420797e+03
 2.51452739e+03
 2.51477936e+03
 2.51443135e+03
 2.51404484e+03
 2.51382867e+03
 2.51398661e+03
 2.51399684e+03
 2.51377242e+03
 2.51384056e+03
 2.51369691e+03
 2.51380667e+03
 2.51395345e+03
 2.51372050e+03
 2.51361126e+03
 2.51351731e+03
 2.51346463e+03
 2.51333394e+03
 2.51327520e+03
 2.51329057e+03
 2.51338506e+03
 2.51345099e+03
 2.51339800e+03
 2.51333059e+03
 2.51334888e+03
 2.51331813e+03
 Inf
 Inf
 2.51331607e+03
 2.51329214e+03
 Inf
 Inf
 Inf
 Inf
 2.51327495e+03
 2.51328421e+03
 2.51327548e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327413e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.98325174e+234
 7.68401479e+200
 1.34758371e+263
 Inf
 Inf
 6.68206122e+201
 6.17843188e+218
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.19073424e+300
 1.49233561e+234
 2.01676289e+244
 5.01712122e+269
 Inf
 Inf
 Inf
 Inf
 2.56070562e+251
 Inf
 Inf
 Inf
 4.38986156e+299
 5.22514863e+203
 1.22627922e+171
 1.51779661e+137
 3.95370394e+155
 9.01421329e+209
 3.05394944e+189
 3.78621090e+194
 6.43448382e+226
 1.28469074e+214
 6.20444737e+163
 1.00741535e+168
 2.86498107e+214
 1.15351128e+180
 7.46047203e+148
 9.05352554e+128
 3.77664986e+127
 2.16278093e+138
 2.55837416e+131
 1.00690187e+105
 9.03270437e+106
 1.36770171e+119
 2.49841693e+99
 8.19114033e+92
 2.34517918e+93
 1.98736407e+100
 4.69116959e+105
 4.92089718e+90
 3.68897223e+83
 5.61938019e+88
 1.96625806e+87
 2.22413307e+89
 4.33414681e+96
 1.93961366e+98
 5.90935841e+89
 1.33285091e+82
 4.84274134e+78
 8.44681134e+80
 3.32668191e+87
 2.15623781e+85
 4.20822063e+79
 6.57490353e+72
 3.03945813e+70
 3.62004101e+74
 2.17821164e+79
 4.58881844e+85
 1.67842086e+78
 1.64221655e+73
 2.27440135e+75
 3.60904474e+70
 8.27487803e+71
 6.34712773e+71
 3.47154966e+72
 8.28307992e+71
 3.76622144e+68
 4.12711795e+73
 1.48643412e+76
 3.17829342e+72
 5.16273026e+67
 8.65408999e+66
 4.41392222e+68
 1.29020351e+72
 1.12109523e+77
 4.49934396e+76
 4.56525179e+72
 2.59956325e+73
 2.41325048e+71
 7.20884197e+65
 1.34630732e+78
 5.86064619e+89
 9.70597980e+87
 3.73090550e+81
 2.17124020e+70
 1.82912150e+68
 4.75650257e+69
 2.86961677e+71
 1.24143997e+77
 1.26943571e+79
 3.32607662e+76
 2.83414831e+77
 8.27551062e+76
 2.47958664e+74
 2.02734168e+71
 7.56556328e+71
 5.07230778e+70
 2.89521413e+69
 9.87909187e+71
 2.82767755e+77
 6.10459930e+82
 4.14966943e+83
 1.87726549e+86
 4.15573618e+83
 1.76072931e+79
 6.10393905e+76
 8.90118052e+77
 4.67283778e+83
 1.27381364e+75
 3.42351805e+69
 1.24113015e+73
 4.51944268e+75
 4.83747097e+74
 8.61513343e+74
 4.78390106e+84
 2.13287834e+92
 8.87543501e+98
 6.92512553e+105
 9.01622176e+102
 3.86118455e+113
 1.47430199e+109
 1.21366296e+105
 1.73123553e+102
 1.84832378e+106
 9.70991366e+115
 3.81484004e+115
 3.83642154e+153
 6.83240311e+182
 1.93196587e+174
 7.28758219e+170
 2.74222172e+144
 8.14162290e+124
 3.10307878e+113
 7.13410515e+111
 1.50616223e+136
 2.16234222e+152
 5.82430252e+160
 4.67485290e+172
 4.17779456e+135
 5.22628748e+102
 1.02746115e+92
 4.32605065e+94
 1.84719614e+92
 3.38719504e+101
 2.15521378e+120
 5.40105713e+123
 1.84379204e+125
 1.00205260e+121
 2.23507073e+126
 5.43911976e+132
 2.96665067e+126
 1.51457044e+114
 3.52091128e+99
 3.19047952e+91
 4.31117959e+97
 4.86286516e+101
 3.81271774e+98
 1.76198084e+99
 2.16660863e+104
 2.97713230e+111
 1.20004143e+110
 6.59018442e+110
 4.42466705e+117
 1.69018955e+134
 4.22759545e+125
 1.56493467e+111
 1.02652356e+141
 2.71624815e+185
 6.44365571e+180
 1.74461909e+216
 2.18905008e+196
 1.53304460e+136
 1.88941593e+131
 2.47399069e+142
 8.89548588e+153
 8.11785938e+184
 9.04778459e+199
 4.58266916e+188
 3.24295174e+248
 8.81450294e+298
 1.61393499e+264
 Inf
 Inf
 2.51327419e+03
 2.51328143e+03
 Inf
 2.48383587e+286
 Inf
 2.51327587e+03
 2.51330071e+03
 2.51330723e+03
 2.51328441e+03
 Inf
 Inf
 Inf
 2.51332779e+03
 2.51341761e+03
 2.51343150e+03
 2.51360322e+03
 2.51348057e+03
 2.51369820e+03
 2.51404658e+03
 2.51380957e+03
 2.51363236e+03
 2.51371785e+03
 2.51397160e+03
 2.51377522e+03
 2.51347876e+03
 2.51348231e+03
 2.51350092e+03
 2.51357314e+03
 2.51361473e+03
 2.51360207e+03
 2.51343706e+03
 2.51334302e+03
 2.51346203e+03
 2.51359867e+03
 2.51360329e+03
 2.51340509e+03
 2.51329462e+03
 2.51331897e+03
 2.51328982e+03
 Inf
 2.51328213e+03
 2.51333201e+03
 2.51353224e+03
 2.51350471e+03
 2.51336015e+03
 2.51352721e+03
 2.51350663e+03
 2.51336548e+03
 2.51332024e+03
 2.51328061e+03
 2.51328789e+03
 2.51332733e+03
 2.51341387e+03
 2.51329636e+03
 Inf
 2.51328160e+03
 2.51334942e+03
 2.51335274e+03
 2.51337471e+03
 2.51335329e+03
 2.51331897e+03
 2.51335611e+03
 2.51341611e+03
 2.51345945e+03
 2.51337221e+03
 2.51354038e+03
 2.51368664e+03
 2.51349248e+03
 2.51372316e+03
 2.51368534e+03
 2.51357860e+03
 2.51382718e+03
 2.51416999e+03
 2.51422741e+03
 2.51396332e+03
 2.51364557e+03
 2.51361358e+03
 2.51385867e+03
 2.51404136e+03
 2.51422929e+03
 2.51414011e+03
 2.51408910e+03
 2.51403613e+03
 2.51415872e+03
 2.51410530e+03
 2.51395345e+03
 2.51434737e+03
 2.51418508e+03
 2.51377946e+03
 2.51404307e+03
 2.51408735e+03
 2.51384808e+03
 2.51383020e+03
 2.51398159e+03
 2.51420611e+03
 2.51399334e+03
 2.51388326e+03
 2.51373254e+03
 2.51353022e+03
 2.51373794e+03
 2.51385413e+03
 2.51378654e+03
 2.51382127e+03
 2.51386630e+03
 2.51384206e+03
 2.51368027e+03
 2.51375020e+03
 2.51370340e+03
 2.51394365e+03
 2.51434945e+03
 2.51428239e+03
 2.51396497e+03
 2.51385262e+03
 2.51406238e+03
 2.51398158e+03
 2.51395346e+03
 2.51405007e+03
 2.51408732e+03
 2.51411443e+03
 2.51412358e+03
 2.51434326e+03
 2.51465516e+03
 2.51500692e+03
 2.51539565e+03
 2.51541106e+03
 2.51563975e+03
 2.51584277e+03
 2.51569506e+03
 2.51580455e+03
 2.51561836e+03
 2.51532100e+03
 2.51560315e+03
 2.51609065e+03
 2.51567038e+03
 2.51527293e+03
 2.51523966e+03
 2.51499645e+03
 2.51464350e+03
 2.51416435e+03
 2.51385716e+03
 2.51354658e+03
 2.51367019e+03
 2.51391947e+03
 2.51346636e+03
 Inf
 2.51329943e+03
 2.51363117e+03
 2.51335052e+03
 2.51327490e+03
 2.51329057e+03
 2.51330039e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.54810880e+199
 1.95858838e+200
 3.94149469e+237
 1.43917985e+246
 Inf
 Inf
 1.63793728e+227
 2.00979151e+223
 3.26504474e+248
 1.72646191e+186
 1.41677343e+191
 1.90675761e+192
 8.59281057e+188
 2.54890327e+281
 Inf
 3.06336020e+242
 3.38211822e+215
 Inf
 2.45869885e+286
 1.94181683e+209
 1.42209573e+191
 3.24480788e+248
 4.04245950e+216
 4.45335168e+143
 5.84694271e+162
 3.72044266e+200
 3.75582585e+167
 3.88299230e+173
 1.09232259e+199
 8.28203474e+222
 1.37307070e+193
 3.67127784e+179
 1.80681213e+270
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327427e+03
 2.51335898e+03
 2.51338440e+03
 2.51335052e+03
 2.51328812e+03
 Inf
 2.51327680e+03
 2.51328029e+03
 Inf
 2.51327414e+03
 2.51329519e+03
 2.51329462e+03
 2.51333394e+03
 2.51336073e+03
 2.51337408e+03
 2.51332110e+03
 Inf
 2.51327427e+03
 2.51335441e+03
 2.51344355e+03
 2.51356451e+03
 2.51345945e+03
 2.51340872e+03
 2.51354038e+03
 2.51402748e+03
 2.51387858e+03
 2.51366770e+03
 2.51407301e+03
 2.51415505e+03
 2.51407835e+03
 2.51388948e+03
 2.51408013e+03
 2.51480876e+03
 2.51520331e+03
 2.51538412e+03
 2.51576682e+03
 2.51530675e+03
 2.51505438e+03
 2.51598483e+03
 2.51653050e+03
 2.51620172e+03
 2.51602766e+03
 2.51579201e+03
 2.51525608e+03
 2.51534934e+03
 2.51517296e+03
 2.51477690e+03
 2.51516200e+03
 2.51538411e+03
 2.51548643e+03
 2.51549045e+03
 2.51474296e+03
 2.51454980e+03
 2.51525606e+03
 2.51651966e+03
 2.51697161e+03
 2.51639188e+03
 2.51593602e+03
 2.51683495e+03
 2.51791596e+03
 2.51777468e+03
 2.51811933e+03
 2.51738365e+03
 2.51676042e+03
 2.51691772e+03
 2.51624963e+03
 2.51595556e+03
 2.51623588e+03
 2.51608052e+03
 2.51595878e+03
 2.51600439e+03
 2.51555789e+03
 2.51598152e+03
 2.51660983e+03
 2.49355257e+03
 2.51591976e+03
 2.51579220e+03
 2.51694843e+03
 2.51628738e+03
 2.51556695e+03
 2.51568560e+03
 2.51536673e+03
 2.51523381e+03
 2.51496011e+03
 2.51483104e+03
 2.51509434e+03
 2.51503569e+03
 2.51560318e+03
 2.51601776e+03
 2.51552492e+03
 2.51639190e+03
 2.51759606e+03
 2.51724350e+03
 2.51716930e+03
 2.51716660e+03
 2.51699049e+03
 2.51725963e+03
 2.51751381e+03
 2.51743191e+03
 2.51659528e+03
 2.51668957e+03
 2.51711029e+03
 2.51649811e+03
 2.51669362e+03
 2.51665678e+03
 2.51568893e+03
 2.51542187e+03
 2.51442282e+03
 2.51427058e+03
 2.51582997e+03
 2.51435562e+03
 2.51373255e+03
 2.51405533e+03
 2.51363713e+03
 2.51350568e+03
 2.51352720e+03
 2.51352421e+03
 2.51340223e+03
 2.51336851e+03
 2.51345774e+03
 2.51341611e+03
 2.51336851e+03
 2.51333541e+03
 2.51021579e+03
 2.51334888e+03
 2.51335611e+03
 2.51336015e+03
 2.51331446e+03
 2.51337982e+03
 2.51358080e+03
 2.51341239e+03
 2.51327520e+03
 2.51336850e+03
 2.51348511e+03
 2.51332024e+03
 2.51327507e+03
 Inf
 2.51335107e+03
 2.51352621e+03
 2.51340799e+03
 2.51334406e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.40292834e+266
 9.80696988e+174
 5.42803513e+198
 1.42955087e+246
 6.08695182e+141
 4.71546464e+124
 5.59378626e+136
 6.63441405e+110
 1.48905500e+104
 2.65654177e+112
 1.19163929e+115
 5.17879704e+112
 6.08551435e+113
 3.78570418e+122
 1.37438407e+119
 7.89778974e+119
 9.47681625e+114
 7.03363125e+99
 2.48445888e+99
 1.38935435e+101
 1.98606345e+101
 2.00895567e+107
 9.55799341e+113
 1.49399485e+118
 3.19776463e+105
 3.11151902e+97
 6.99603453e+99
 1.17960840e+100
 1.33981730e+91
 2.36155977e+81
 1.58210574e+84
 7.40842636e+87
 9.69766723e+87
 3.35668703e+100
 1.01968696e+96
 2.86035877e+88
 3.81582823e+104
 1.15998889e+132
 1.38094660e+133
 2.67796326e+112
 2.84001697e+100
 3.50642265e+99
 2.73842930e+103
 9.92301231e+99
 1.12127207e+89
 2.15746317e+85
 1.09987192e+93
 3.13885446e+96
 1.40347909e+96
 1.54553838e+91
 5.30340510e+83
 1.70203734e+94
 4.34259787e+96
 5.06336948e+94
 2.36919791e+100
 4.33893467e+94
 2.61407829e+105
 3.86806140e+105
 4.87609598e+101
 3.81269729e+98
 9.73540778e+87
 2.05683211e+91
 4.92300201e+91
 4.89863604e+90
 6.31227122e+98
 5.72140374e+100
 4.33946466e+94
 2.71362641e+98
 1.15960933e+91
 3.92573868e+78
 6.51027805e+77
 1.34789714e+76
 2.16392098e+73
 2.25083421e+74
 2.06289870e+78
 2.99399151e+67
 6.31982790e+63
 1.19623161e+71
 1.63669452e+73
 5.53196805e+70
 2.95726005e+68
 1.60236495e+67
 1.84396184e+72
 1.39663973e+75
 1.73658843e+67
 1.97803048e+68
 3.84954239e+77
 1.49740414e+73
 2.08354067e+64
 2.38270532e+65
 2.35639958e+67
 7.26208630e+63
 3.88563914e+63
 3.92554614e+64
 4.96367004e+65
 4.69431595e+66
 7.08449332e+62
 2.67280459e+59
 4.55714120e+53
 1.80179790e+49
 1.35220947e+55
 1.25995418e+64
 2.57272259e+63
 5.51372949e+59
 5.09841644e+57
 2.58542468e+62
 3.48562575e+60
 1.42084734e+58
 8.48317021e+57
 1.12882013e+57
 1.51425165e+56
 7.04585352e+52
 1.42764746e+55
 8.42629819e+55
 1.15907333e+56
 5.83685646e+56
 1.16573174e+55
 1.15845656e+56
 1.15290908e+54
 8.56882088e+53
 3.82760079e+52
 7.65910438e+51
 2.19529455e+56
 1.15956602e+56
 6.39626985e+53
 2.04983808e+55
 9.48954594e+59
 3.87858842e+61
 5.85270274e+59
 7.75139378e+63
 9.27625210e+64
 1.49395875e+57
 8.11150111e+58
 1.30435855e+61
 3.37984893e+58
 4.78795822e+58
 6.65839845e+54
 4.97387522e+55
 7.36295017e+60
 7.28522077e+56
 1.08950575e+59
 1.77428874e+65
 7.77421242e+68
 1.09317688e+78
 1.10596594e+83
 2.44136209e+85
 5.44237778e+82
 5.92669506e+85
 3.75318978e+84
 5.23692120e+79
 4.81033986e+80
 1.05317173e+68
 2.56142427e+60
 4.26458189e+58
 1.26548588e+58
 2.11521595e+60
 2.71271153e+68
 4.08535487e+75
 2.47817575e+74
 4.62377702e+86
 1.40282253e+84
 2.22101483e+71
 1.41286883e+72
 4.15535618e+81
 2.84393039e+78
 2.15367629e+68
 2.46882252e+74
 4.79785359e+80
 4.79759755e+84
 4.76605065e+103
 1.08474002e+123
 3.45060046e+131
 1.39539994e+131
 3.72706172e+111
 2.91594434e+83
 8.46415423e+80
 2.05026475e+91
 6.77962129e+89
 3.13480767e+96
 3.58315253e+102
 1.20267561e+102
 1.30349423e+103
 1.01304126e+108
 3.68356881e+107
 2.07878632e+102
 7.69966590e+120
 2.69472108e+235
 Inf
 6.25658645e+163
 5.20273166e+166
 1.03728012e+282
 Inf
 Inf
 Inf
 2.51327429e+03
 2.51334302e+03
 2.51350664e+03
 2.51348328e+03
 2.51340945e+03
 2.51332067e+03
 2.51328608e+03
 Inf
 1.94317664e+208
 2.25745146e+204
 6.59086658e+181
 4.95428479e+269
 Inf
 2.51328908e+03
 2.51365902e+03
 2.51482358e+03
 2.51463637e+03
 2.51406239e+03
 2.51396500e+03
 2.51342140e+03
 Inf
 1.09573019e+268
 5.71759310e+174
 3.39792069e+169
 3.36385921e+219
 Inf
 2.51340799e+03
 2.51465984e+03
 2.51665359e+03
 2.51644761e+03
 2.51542468e+03
 2.51466688e+03
 2.51409269e+03
 2.51355917e+03
 2.51332153e+03
 2.51337789e+03
 2.51357423e+03
 2.51365779e+03
 2.51412906e+03
 2.51450967e+03
 2.51534096e+03
 2.51660621e+03
 2.51681677e+03
 2.51746067e+03
 2.51656269e+03
 2.51507030e+03
 2.51450305e+03
 2.51437020e+03
 2.51444205e+03
 2.51480875e+03
 2.51508367e+03
 2.51600126e+03
 2.51626705e+03
 2.51780092e+03
 2.52053363e+03
 2.51930912e+03
 2.51760017e+03
 2.51664996e+03
 2.51674110e+03
 2.51737968e+03
 2.51858993e+03
 2.52010100e+03
 2.52233132e+03
 2.52538998e+03
 2.48241948e+03
 2.52405144e+03
 2.52189967e+03
 2.51939297e+03
 2.51787753e+03
 2.51662076e+03
 2.51638521e+03
 2.51657710e+03
 2.51749736e+03
 2.51826950e+03
 2.51807957e+03
 2.51791598e+03
 2.51618483e+03
 2.51565210e+03
 2.51611732e+03
 2.51521429e+03
 2.51504386e+03
 2.51545685e+03
 2.51550742e+03
 2.51518945e+03
 2.51529536e+03
 2.51571062e+03
 2.51533519e+03
 2.51541286e+03
 2.51617467e+03
 2.51537824e+03
 2.51467157e+03
 2.51424686e+03
 2.51364557e+03
 2.51370077e+03
 2.51406062e+03
 2.51409999e+03
 2.51430658e+03
 2.51437228e+03
 2.51397492e+03
 2.51359641e+03
 2.51352422e+03
 2.51363116e+03
 2.51357097e+03
 2.51346289e+03
 2.51378513e+03
 2.51388172e+03
 2.51396003e+03
 2.51394687e+03
 2.51387706e+03
 2.51388944e+03
 2.51358411e+03
 2.51383311e+03
 2.51372449e+03
 2.51373792e+03
 2.51428047e+03
 2.51466924e+03
 2.49977135e+03
 2.51424489e+03
 2.51387861e+03
 2.51372852e+03
 2.51361938e+03
 2.51357423e+03
 2.51357321e+03
 2.51349621e+03
 2.51336015e+03
 2.51332871e+03
 2.51331730e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327429e+03
 2.51331094e+03
 2.51333492e+03
 2.51328697e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327925e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328789e+03
 2.51331406e+03
 2.51327768e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327435e+03
 2.51327479e+03
 Inf
 2.51327631e+03
 2.51328178e+03
 2.51328908e+03
 2.51336190e+03
 2.51339315e+03
 2.51340654e+03
 2.51353936e+03
 2.51351437e+03
 2.51343948e+03
 2.51355494e+03
 2.51347697e+03
 2.51334726e+03
 2.51331446e+03
 2.51332110e+03
 2.51328765e+03
 Inf
 2.51327448e+03
 2.51327869e+03
 2.51327429e+03
 Inf
 2.51328836e+03
 2.51328249e+03
 2.51327417e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.47137257e+292
 1.73520204e+290
 Inf
 Inf
 8.43047031e+250
 2.14243116e+217
 1.24860003e+183
 6.87589146e+182
 1.61517141e+229
 6.55140822e+214
 1.18132362e+224
 Inf
 2.51327460e+03
 2.51335052e+03
 2.51334094e+03
 2.51333201e+03
 2.51332687e+03
 2.51328195e+03
 2.51329577e+03
 2.51331446e+03
 2.51347876e+03
 2.51379657e+03
 2.51378778e+03
 2.51381395e+03
 2.51372183e+03
 2.51378940e+03
 2.51418132e+03
 2.51431066e+03
 2.51446585e+03
 2.51428846e+03
 2.51395018e+03
 2.51416997e+03
 2.51418714e+03
 2.51379226e+03
 2.51353426e+03
 2.51341239e+03
 2.51334459e+03
 2.51336973e+03
 2.51328932e+03
 Inf
 Inf
 2.51327412e+03
 Inf
 Inf
 Inf
 4.95574822e+273
 2.45848197e+243
 4.80518354e+240
 2.33040754e+253
 6.72683333e+270
 1.29119559e+214
 1.14236132e+218
 5.68125410e+169
 1.70130624e+155
 1.19351098e+145
 1.21124716e+129
 5.03629364e+128
 6.68898918e+127
 5.23960950e+149
 2.95109955e+132
 2.24679732e+109
 6.82265220e+104
 1.20353883e+102
 9.83422057e+96
 2.86128891e+88
 1.01862209e+87
 3.84032085e+105
 1.69993876e+130
 4.70933559e+121
 1.90531688e+97
 3.69630969e+96
 1.43904628e+102
 2.22803969e+109
 4.63291980e+120
 1.97886442e+116
 7.73743027e+120
 2.15194698e+152
 8.41321522e+242
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327507e+03
 2.51333890e+03
 2.51341462e+03
 2.51334146e+03
 2.51332825e+03
 2.51334942e+03
 2.51348878e+03
 2.51349438e+03
 2.51347075e+03
 2.51340223e+03
 2.51328160e+03
 2.51327533e+03
 Inf
 Inf
 Inf
 Inf
 3.72394304e+247
 3.87231760e+289
 Inf
 7.34804599e+294
 3.85255483e+268
 6.74027815e+270
 1.03913136e+212
 6.41252411e+228
 1.38878402e+303
 Inf
 Inf
 5.68899195e+195
 5.06517384e+148
 3.27373357e+139
 1.46923287e+141
 1.35035091e+154
 2.43396790e+184
 1.08525840e+248
 6.48825297e+226
 2.88777522e+175
 1.56438983e+170
 4.09239842e+229
 1.35493030e+263
 5.63438545e+233
 4.62076043e+231
 3.88084131e+279
 5.85807772e+244
 2.57285256e+176
 1.22097880e+171
 1.62906979e+146