Inf
 2.51327412e+03
 2.51328630e+03
 2.51332641e+03
 2.51341686e+03
 2.51360780e+03
 2.51368282e+03
 2.51355494e+03
 2.51346637e+03
 2.51347517e+03
 2.51339178e+03
 2.51336488e+03
 2.51333154e+03
 Inf
 Inf
 3.67156231e+180
 2.52699529e+213
 6.40087646e+143
 7.23687598e+170
 1.81207857e+274
 3.17871418e+154
 1.46591592e+176
 3.66180797e+181
 1.04374969e+141
 6.00073860e+141
 1.06808831e+165
 3.41830580e+148
 3.75042163e+194
 Inf
 Inf
 Inf
 3.41611870e+293
 Inf
 Inf
 Inf
 2.51335898e+03
 2.51358301e+03
 2.51375022e+03
 2.51372049e+03
 2.51353022e+03
 2.51343228e+03
 2.51332024e+03
 2.51327416e+03
 2.51334942e+03
 2.51363713e+03
 2.51357640e+03
 2.51335841e+03
 2.51327429e+03
 2.51332596e+03
 2.51363713e+03
 2.51386325e+03
 2.51414570e+03
 2.51424101e+03
 2.51388480e+03
 2.51354038e+03
 2.51358189e+03
 2.51342757e+03
 2.51327830e+03
 Inf
 9.57486937e+169
 9.33747794e+123
 1.49414097e+104
 5.71768711e+111
 1.68663726e+117
 1.65186414e+107
 3.98820591e+103
 2.62284496e+105
 1.89028318e+115
 1.47501095e+109
 4.52578735e+98
 3.20396482e+90
 4.30546267e+82
 1.04891204e+75
 2.49018764e+61
 2.81117514e+55
 7.31952062e+49
 1.94621314e+45
 8.67610157e+45
 3.17248906e+44
 1.50076318e+42
 1.78471736e+41
 2.77107895e+44
 6.96720846e+45
 2.47648920e+40
 4.56179664e+39
 1.73110989e+41
 3.52830090e+39
 3.82455764e+41
 9.47838546e+39
 4.68916513e+36
 5.82036837e+36
 4.06905058e+38
 3.80133646e+39
 3.40415891e+40
 9.64639670e+40
 3.18318411e+39
 2.00820165e+39
 3.01923178e+39
 1.69439916e+44
 1.20396952e+45
 1.94660219e+41
 7.11675181e+41
 2.96479143e+41
 1.20152929e+40
 4.46545892e+37
 1.62714670e+37
 5.48800401e+37
 9.66565950e+38
 1.83335630e+40
 2.87131695e+39
 1.48028498e+38
 1.80523758e+36
 6.16010641e+37
 3.17278201e+39
 3.08564691e+37
 2.72024806e+39
 3.05474314e+40
 7.28519916e+39
 6.41603778e+41
 9.64843098e+41
 3.14622836e+40
 7.08452373e+42
 2.77541380e+44
 2.80913094e+41
 4.29695346e+41
 1.37058898e+42
 4.33936345e+39
 8.13594223e+38
 3.74988450e+42
 1.72936318e+43
 3.52320664e+41
 6.09296239e+42
 1.11765090e+42
 4.64375844e+42
 1.15794190e+43
 1.37352150e+40
 2.45549542e+37
 9.48577544e+37
 3.33825109e+39
 9.45875259e+39
 5.55846179e+40
 8.87936243e+40
 2.33737725e+40
 1.59259819e+41
 4.36854495e+42
 5.73966451e+42
 1.17406166e+41
 3.94162162e+41
 4.78374524e+42
 1.73615911e+41
 7.95434674e+40
 3.22769734e+41
 2.10082740e+40
 8.52258982e+39
 3.51216279e+41
 2.67514349e+40
 1.21385865e+39
 2.74145900e+40
 7.47791374e+39
 1.08786594e+37
 1.69103056e+36
 1.42447181e+36
 4.09628103e+36
 2.04967525e+36
 9.13877972e+35
 2.71008375e+36
 1.83331846e+35
 8.40301888e+34
 5.73413697e+37
 2.81057571e+37
 7.48273897e+34
 1.01369531e+36
 2.55926319e+37
 1.41311083e+35
 1.68677655e+34
 1.70027314e+33
 1.53179948e+32
 1.37097998e+33
 1.24442012e+34
 1.32573324e+35
 3.51215391e+36
 9.69489830e+36
 4.89127659e+35
 4.27708069e+36
 1.48740041e+36
 1.15227535e+36
 5.41970350e+35
 1.42394880e+36
 3.42797468e+38
 1.13707868e+41
 1.95516406e+43
 4.15487501e+43
 5.18680889e+43
 1.28777190e+45
 1.73865679e+47
 7.05034584e+47
 9.85166853e+50
 7.02058053e+52
 9.81738582e+48
 2.74383722e+48
 2.26496760e+47
 9.98644964e+46
 2.63411860e+48
 1.05546722e+45
 4.16137813e+43
 5.26484687e+45
 2.32758833e+46
 1.52933798e+45
 1.74767657e+46
 6.78005062e+47
 3.59238024e+46
 6.06853640e+45
 1.10214879e+46
 2.32828539e+46
 4.23825783e+49
 9.44402883e+50
 3.40376554e+51
 1.32161300e+52
 8.48483988e+52
 1.04002247e+56
 6.47542599e+55
 2.00250026e+53
 2.39354018e+55
 2.04679056e+65
 1.10188430e+62
 5.39290292e+58
 5.35657172e+61
 2.90929976e+57
 9.56566845e+56
 1.68507515e+56
 6.41347742e+52
 1.62378696e+50
 1.12556349e+51
 1.64826709e+53
 1.88476475e+58
 1.75747991e+60
 5.39639403e+57
 1.06737179e+65
 3.65910034e+64
 3.95346179e+60
 1.75340301e+66
 4.46708008e+63
 2.40138706e+63
 9.00579577e+71
 1.87367765e+67
 2.21849847e+65
 8.97946267e+65
 2.39157476e+64
 2.95557646e+64
 1.65840691e+60
 1.19448963e+57
 8.90661704e+60
 4.85438405e+64
 5.06232196e+66
 1.55666134e+68
 1.17693249e+67
 5.74310252e+61
 5.77488418e+62
 2.54282422e+67
 2.23002862e+64
 1.78773656e+73
 2.26146248e+83
 3.30933359e+74
 5.36988863e+65
 1.07016191e+58
 6.88521771e+56
 1.47692993e+54
 2.52094072e+52
 2.44560771e+56
 1.97793340e+56
 8.50878510e+52
 2.40492362e+52
 5.58153026e+51
 3.76821790e+48
 1.31051365e+50
 2.37514306e+50
 2.49154201e+49
 7.73073623e+46
 3.87168476e+44
 4.56038313e+44
 4.38229384e+42
 1.31136836e+39
 1.18899445e+37
 1.40788871e+38
 1.12337650e+39
 3.60478362e+36
 6.96160979e+32
 2.62326508e+31
 1.66225664e+31
 7.70258638e+30
 5.71830152e+31
 4.57713281e+32
 9.64528960e+31
 5.81967226e+31
 5.82313978e+32
 9.05101346e+33
 1.92351708e+34
 4.57083724e+34
 8.38607823e+35
 2.65187554e+36
 1.10930397e+38
 1.58765255e+38
 5.62327717e+37
 1.01605546e+39
 4.67270129e+37
 3.37606211e+37
 2.04105872e+37
 5.54084122e+35
 6.21418589e+36
 9.33832340e+35
 2.00285397e+34
 2.97695405e+35
 3.58339377e+35
 1.83152366e+35
 5.87195483e+37
 7.72688258e+38
 9.09042201e+36
 2.62758496e+38
 1.22994182e+40
 1.92723884e+38
 7.12560095e+38
 2.33617740e+39
 2.52448080e+39
 1.62858987e+38
 6.34319296e+38
 2.82927614e+38
 1.06037639e+38
 7.94758699e+36
 1.10550387e+36
 3.69580762e+37
 4.89427370e+35
 4.92547852e+32
 9.93484745e+33
 2.76257664e+36
 1.26821277e+37
 2.28343304e+36
 2.59710115e+36
 5.82068584e+36
 6.35922227e+36
 4.27317864e+38
 6.02594374e+40
 1.05410979e+43
 1.35067448e+43
 4.96631545e+41
 1.41159152e+42
 1.93378896e+45
 1.24683524e+45
 6.36327631e+44
 1.61330994e+50
 1.49722566e+53
 5.23559712e+55
 1.96128130e+57
 2.68503797e+54
 2.54344162e+53
 4.26100875e+49
 2.63953583e+48
 1.30697661e+48
 1.07584866e+47
 9.35003962e+49
 4.88338393e+54
 6.78691273e+58
 1.97672563e+59
 3.00755745e+59
 3.16315355e+64
 3.19285294e+65
 1.95798257e+63
 1.56406409e+64
 1.07846288e+60
 6.60201863e+59
 4.51942175e+58
 7.91406708e+61
 4.73833326e+69
 8.27079706e+71
 1.85587351e+71
 1.31011777e+71
 1.21597316e+76
 1.27187633e+86
 1.32310438e+87
 1.68140433e+82
 4.90394701e+91
 1.10053476e+84
 6.63044418e+73
 3.62641174e+74
 2.57287075e+66
 4.21230328e+60
 2.59979225e+57
 1.04552814e+54
 3.44277161e+54
 3.27562144e+54
 2.68019887e+54
 3.57425181e+56
 7.40362335e+61
 1.07032823e+65
 5.88865371e+63
 6.02694879e+64
 2.46346774e+74
 2.75088110e+90
 1.64438026e+96
 2.38451614e+91
 2.93895510e+89
 4.14922855e+99
 3.88495266e+126
 4.20014267e+141
 1.69886332e+126
 6.49870474e+116
 3.60605979e+102
 1.89559823e+97
 3.59575880e+121
 2.90205375e+136
 7.26813043e+235
 2.51327621e+03
 Inf
 Inf
 Inf
 3.98443580e+190
 1.08684725e+248
 1.62265916e+296
 2.01196554e+210
 7.42618034e+183
 2.07011677e+154
 1.07150364e+165
 4.17085897e+158
 1.10748257e+158
 3.28801359e+174
 1.66557981e+175
 3.34402079e+215
 5.27181788e+156
 6.04720286e+120
 2.15828260e+138
 6.38128361e+151
 2.05786097e+154
 1.12135311e+153
 2.92193987e+129
 1.86008715e+123
 6.72479561e+128
 1.21291598e+124
 1.20508636e+129
 1.46515397e+141
 2.91748466e+136
 5.99370036e+141
 5.69170945e+137
 2.35699700e+146
 5.21168941e+156
 6.02090091e+141
 3.00871543e+135
 1.51765482e+114
 5.98865749e+120
 8.19258426e+110
 1.10493356e+107
 2.74651775e+106
 4.68100341e+86
 1.19043810e+81
 3.78251192e+73
 5.46624544e+72
 1.53580897e+62
 3.20648022e+66
 6.67105514e+85
 2.13395828e+92
 1.93642398e+98
 1.06357400e+119
 2.46458636e+142
 4.20861924e+99
 1.06417746e+119
 6.45058016e+181
 7.31185045e+154
 1.07536937e+147
 2.55859617e+153
 1.82782115e+140
 2.51875949e+116
 2.23191901e+126
 3.17254307e+248
 1.39360772e+303
 1.01991406e+228
 1.28489504e+214
 3.80107276e+194
 7.19348623e+254
 6.76906538e+265
 2.61682072e+226
 1.92542865e+151
 4.18196495e+112
 8.34706480e+118
 1.02943174e+141
 1.03535794e+106
 3.18915908e+93
 4.74775617e+133
 5.72957521e+161
 1.55798641e+138
 1.88828642e+133
 3.84820802e+173
 2.50001216e+251
 6.95566585e+230
 2.45564541e+188
 6.57434900e+181
 1.02603131e+212
 5.52171585e+264
 6.21202612e+277
 Inf
 7.80265153e+290
 Inf
 Inf
 Inf
 Inf
 2.51339178e+03
 2.51356130e+03
 2.51342992e+03
 2.51333201e+03
 2.51332642e+03
 2.51334997e+03
 2.51336368e+03
 2.51332024e+03
 2.51329943e+03
 2.51328765e+03
 2.51329322e+03
 2.51334043e+03
 2.51330006e+03
 2.51328720e+03
 2.51327595e+03
 Inf
 2.51328077e+03
 2.51336912e+03
 2.51339940e+03
 2.51363593e+03
 2.51405359e+03
 2.51414759e+03
 2.51437016e+03
 2.51430048e+03
 2.51362761e+03
 2.51337853e+03
 2.51327452e+03
 Inf
 Inf
 4.50398293e+220
 4.45644756e+134
 7.35811789e+125
 6.00874897e+120
 2.16923437e+120
 1.58468845e+132
 6.02738361e+159
 4.87145792e+217
 1.43692975e+222
 6.42298245e+228
 9.79668230e+248
 4.27214960e+225
 4.59898512e+188
 1.27657518e+214
 2.33579763e+148
 6.18404088e+119
 3.40278071e+109
 2.50779870e+88
 1.36308295e+112
 1.50632031e+136
 1.90661791e+114
 1.88339859e+151
 8.98697509e+271
 2.10983456e+205
 7.29809573e+255
 Inf
 Inf
 9.37894379e+271
 4.96327707e+217
 4.09458030e+183
 7.46766247e+152
 5.98336708e+138
 2.91338155e+129
 4.70842083e+121
 6.39055274e+109
 7.86131348e+109
 4.70617920e+154
 1.92042684e+157
 4.27141252e+138
 2.45267243e+118
 2.91490399e+122
 1.58075482e+128
 5.69160456e+88
 4.16300631e+73
 1.90334069e+66
 5.23860973e+83
 1.87967746e+75
 2.40227809e+58
 2.74719983e+65
 9.03710333e+65
 3.98153742e+65
 2.75964709e+65
 2.54690413e+67
 1.09836641e+76
 5.06384885e+61
 1.68974604e+56
 5.08721883e+57
 1.25062606e+62
 7.17288629e+65
 3.17145428e+62
 1.07511779e+69
 2.44375534e+80
 1.71322209e+102
 3.40009368e+101
 3.59041997e+85
 1.74326460e+67
 2.96935979e+62
 5.17415435e+68
 1.80354432e+69
 7.18111005e+68
 3.30897986e+76
 3.05558096e+75
 4.56286510e+72
 3.98798397e+74
 2.47702810e+74
 1.01195219e+87
 3.86474975e+92
 6.89061973e+86
 7.57009598e+80
 1.01636221e+77
 5.20444829e+85
 3.16244714e+94
 1.84712069e+92
 1.33623845e+81
 1.12583775e+77
 8.90235142e+77
 9.20524761e+68
 4.37873084e+69
 1.69416286e+75
 4.39174056e+69
 3.22428962e+67
 1.97828333e+68
 6.88127857e+66
 8.01317330e+66
 1.37201547e+67
 1.74780154e+62
 6.41868801e+53
 6.11421366e+51
 2.94293636e+55
 4.05412859e+59
 1.02877689e+59
 4.21829732e+56
 1.55521185e+59
 7.91681209e+61
 2.55945654e+65
 3.21256374e+66
 8.34171698e+65
 2.95783968e+64
 9.53071187e+60
 7.60794991e+55
 3.01075359e+56
 2.06293606e+64
 2.04221408e+66
 4.22190726e+64
 1.06115070e+63
 7.02196404e+54
 8.91190758e+52
 1.88811781e+54
 1.16378582e+55
 2.37463512e+64
 1.65534564e+65
 8.98120287e+59
 2.90631430e+57
 7.00543721e+59
 7.10390504e+70
 6.72902456e+76
 5.86101147e+77
 4.28284575e+82
 3.32930231e+87
 2.92134377e+87
 2.85032565e+78
 3.44292588e+73
 2.71224224e+76
 4.19206947e+79
 5.65984499e+87
 4.65302722e+86
 5.11751515e+89
 2.28849409e+98
 6.05940700e+86
 1.45322482e+86
 9.47153910e+113
 1.26173856e+113
 3.35311437e+106
 5.37643469e+123
 6.72565103e+128
 5.94920246e+138
 1.19036881e+128
 5.12266380e+116
 5.09281649e+94
 4.83734362e+80
 4.07283602e+76
 1.69375547e+68
 4.07504514e+68
 1.01020242e+77
 3.74725625e+71
 1.55890504e+71
 1.50058692e+78
 1.39757999e+84
 2.05338995e+91
 2.15972222e+104
 2.15534102e+135
 2.16732088e+138
 6.18820879e+124
 2.51376624e+176
 Inf
 Inf
 2.51347787e+03
 2.51348247e+03
 2.51391787e+03
 2.51588433e+03
 2.51597315e+03
 2.51578565e+03
 2.51806699e+03
 2.51992050e+03
 2.51932852e+03
 2.52004362e+03
 2.52016456e+03
 2.52126914e+03
 2.52310722e+03
 2.52228258e+03
 2.52374017e+03
 2.52300060e+03
 2.52202868e+03
 2.52488267e+03
 2.52682156e+03
 2.52807905e+03
 2.52690798e+03
 2.52453341e+03
 2.52361941e+03
 2.52246344e+03
 2.52239550e+03
 2.52114033e+03
 2.52211065e+03
 2.52581558e+03
 2.52836353e+03
 2.52934532e+03
 2.52518959e+03
 2.52357464e+03
 2.52589265e+03
 2.52769882e+03
 2.52696596e+03
 2.52647239e+03
 2.52759967e+03
 2.52563973e+03
 2.52314468e+03
 2.52378405e+03
 2.52620586e+03
 2.52492265e+03
 2.52331409e+03
 2.52403100e+03
 2.52435475e+03
 2.52397941e+03
 2.52408269e+03
 2.52420901e+03
 2.52464705e+03
 2.52517636e+03
 2.52466660e+03
 2.52302620e+03
 2.52237975e+03
 2.52173126e+03
 2.52029975e+03
 2.52033227e+03
 2.51972176e+03
 2.51896305e+03
 2.51960096e+03
 2.52006478e+03
 2.51898185e+03
 2.51783066e+03
 2.51804902e+03
 2.51854416e+03
 2.51836722e+03
 2.51902948e+03
 2.51793293e+03
 2.51721626e+03
 2.51817195e+03
 2.51978263e+03
 2.52002455e+03
 2.51940755e+03
 2.51912084e+03
 2.51870517e+03
 2.51843079e+03
 2.51857126e+03
 2.51961621e+03
 2.51885417e+03
 2.51837676e+03
 2.51787321e+03
 2.51780163e+03
 2.51808876e+03
 2.51806540e+03
 2.51873756e+03
 2.51924155e+03
 2.51892009e+03
 2.51805399e+03
 2.51729958e+03
 2.51732025e+03
 2.51824271e+03
 2.51829825e+03
 2.51814125e+03
 2.51638843e+03
 2.51515115e+03
 2.51533503e+03
 2.51610400e+03
 2.51693330e+03
 2.51634637e+03
 2.51620544e+03
 2.51701735e+03
 2.51777568e+03
 2.51754207e+03
 2.51778389e+03
 2.51748093e+03
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 2.51422539e+03
 2.51414200e+03
 2.51423121e+03
 2.51395673e+03
 2.51378088e+03
 2.51362172e+03
 2.51343149e+03
 2.51338112e+03
 2.51338839e+03
 2.50911566e+03
 2.51336912e+03
 2.51334094e+03
 2.51332551e+03
 2.51332417e+03
 2.51329943e+03
 2.51328957e+03
 2.51330006e+03
 2.51331486e+03
 2.51331406e+03
 2.51329548e+03
 2.51328267e+03
 Inf
 Inf
 Inf
 Inf
 8.91520697e+298
 3.42689976e+219
 1.79787271e+283
 1.81475795e+298
 1.05026745e+235
 4.87496485e+223
 8.90995168e+249
 Inf
 Inf
 7.63565284e+256
 6.77091517e+265
 Inf
 Inf
 Inf
 Inf
 1.15963266e+218
 1.72050957e+186
 1.17921499e+182
 1.56623813e+170
 1.20426443e+166
 4.40925814e+176
 7.38372703e+194
 9.09666664e+209
 4.24843623e+225
 1.17000728e+262
 Inf
 Inf
 2.51327417e+03
 2.51327474e+03
 2.51328286e+03
 2.51328160e+03
 Inf
 2.51327441e+03
 2.51327640e+03
 2.51327843e+03
 2.51327830e+03
 2.51330759e+03
 2.51330103e+03
 2.51327548e+03
 2.51330440e+03
 2.51335498e+03
 2.51334942e+03
 2.51341912e+03
 2.51359641e+03
 2.51363834e+03
 2.51367774e+03
 2.51379226e+03
 2.51388636e+03
 2.51390048e+03
 2.51394528e+03
 2.51415127e+03
 2.51416823e+03
 2.51422734e+03
 2.51331056e+03
 1.89999584e+283
 Inf
 Inf
 Inf
 Inf
 2.51327570e+03
 2.51335841e+03
 2.51344766e+03
 2.51336547e+03
 2.51339870e+03
 2.51338906e+03
 2.51333890e+03
 2.51340654e+03
 2.51345690e+03
 Inf
 3.23865048e+123
 1.42094105e+156
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327527e+03
 2.51332197e+03
 2.51345183e+03
 2.51360436e+03
 2.51354865e+03
 2.51338705e+03
 2.51328742e+03
 Inf
 2.51329295e+03
 2.51328342e+03
 2.51335725e+03
 2.51356558e+03
 2.51346899e+03
 2.51337346e+03
 2.51377382e+03
 2.51409270e+03
 2.51383608e+03
 2.51397657e+03
 2.51423512e+03
 2.51438062e+03
 2.51420609e+03
 2.51376542e+03
 2.51419270e+03
 2.51449425e+03
 2.51425864e+03
 2.51440370e+03
 2.51393554e+03
 2.51404131e+03
 2.51473815e+03
 2.51529268e+03
 2.51480626e+03
 2.51513748e+03
 2.51682751e+03
 2.51675437e+03
 2.51677869e+03
 2.51761667e+03
 2.51715699e+03
 2.51706407e+03
 2.49399381e+03
 2.51694844e+03
 2.51749732e+03
 2.51610396e+03
 2.51498084e+03
 2.51563357e+03
 2.51578588e+03
 2.51602101e+03
 2.51628410e+03
 2.51574173e+03
 2.51647672e+03
 2.51742014e+03
 2.51727496e+03
 2.51723224e+03
 2.51741194e+03
 2.51792018e+03
 2.51807177e+03
 2.51765401e+03
 2.51761778e+03
 2.51769989e+03
 2.51757115e+03
 2.51829156e+03
 2.51814506e+03
 2.51750554e+03
 2.51714554e+03
 2.51703303e+03
 2.51823383e+03
 2.51878916e+03
 2.51895870e+03
 2.52024708e+03
 2.52141627e+03
 2.52131644e+03
 2.52089691e+03
 2.52198722e+03
 2.52354220e+03
 2.52227693e+03
 2.52173739e+03
 2.52284055e+03
 2.52193424e+03
 2.52128632e+03
 2.52166705e+03
 2.52209948e+03
 2.52297667e+03
 2.52276566e+03
 2.52217627e+03
 2.52281582e+03
 2.52245061e+03
 2.52184720e+03
 2.52335152e+03
 2.52400676e+03
 2.52258401e+03
 2.52317488e+03
 2.52466052e+03
 2.52460764e+03
 2.52575211e+03
 2.52739043e+03
 2.52761960e+03
 2.52565394e+03
 2.52489746e+03
 2.52554175e+03
 2.52591510e+03
 2.52624924e+03
 2.52497095e+03
 2.52434799e+03
 2.52196980e+03
 2.52138858e+03
 2.52175950e+03
 2.52121281e+03
 2.52207541e+03
 2.52350396e+03
 2.52484273e+03
 2.52506256e+03
 2.52510957e+03
 2.52508589e+03
 2.52606308e+03
 2.52770589e+03
 2.52740897e+03
 2.52656588e+03
 2.52579484e+03
 2.52609024e+03
 2.52873551e+03
 2.52760601e+03
 2.52699785e+03
 2.52614179e+03
 2.52530022e+03
 2.52520024e+03
 2.52541011e+03
 2.52593563e+03
 2.52487584e+03
 2.52414357e+03
 2.52420407e+03
 2.52604179e+03
 2.52462626e+03
 2.52400664e+03
 2.52366400e+03
 2.52308850e+03
 2.52418873e+03
 2.52455458e+03
 2.52397300e+03
 2.52284087e+03
 2.52288046e+03
 2.52237899e+03
 2.52094091e+03
 2.52114986e+03
 2.52033127e+03
 2.52067832e+03
 2.52082077e+03
 2.51974196e+03
 2.52014191e+03
 2.51858065e+03
 2.51711035e+03
 2.51567046e+03
 2.51531256e+03
 2.51557289e+03
 2.51507294e+03
 2.51460423e+03
 2.51419463e+03
 2.51411263e+03
 2.51390834e+03
 2.51380813e+03
 2.51398998e+03
 2.51385260e+03
 2.51409088e+03
 2.51417756e+03
 2.51385867e+03
 2.51403785e+03
 2.51409092e+03
 2.51406767e+03
 2.51368154e+03
 2.51351829e+03
 2.51358633e+03
 2.51348786e+03
 2.51340438e+03
 2.51336912e+03
 2.51342913e+03
 2.51342216e+03
 2.51336488e+03
 2.51336132e+03
 2.51344110e+03
 2.51338906e+03
 2.51328765e+03
 2.51327897e+03
 2.51327469e+03
 2.51327756e+03
 Inf
 Inf
 2.51327756e+03
 2.51327883e+03
 2.51333249e+03
 2.51353834e+03
 2.51369305e+03
 2.51384058e+03
 2.51415873e+03
 2.51424689e+03
 2.51440584e+03
 2.51543051e+03
 2.51580476e+03
 2.51574770e+03
 2.51650172e+03
 2.51733556e+03
 2.51704025e+03
 2.51684260e+03
 2.51691781e+03
 2.51657355e+03
 2.51709465e+03
 2.51793308e+03
 2.51811123e+03
 2.51711025e+03
 2.51669767e+03
 2.51627031e+03
 2.51560625e+03
 2.51578236e+03
 2.51544218e+03
 2.51443564e+03
 2.51415876e+03
 2.51412178e+03
 2.51402920e+03
 2.51413827e+03
 2.51413431e+03
 2.51369176e+03
 2.51341837e+03
 2.51353527e+03
 2.51357098e+03
 2.51343228e+03
 2.51343158e+03
 2.51358744e+03
 2.51374611e+03
 2.50536000e+03
 2.51380667e+03
 2.51387244e+03
 2.51416248e+03
 2.51415281e+03
 2.51409629e+03
 2.51423902e+03
 2.51471181e+03
 2.51483854e+03
 2.51456551e+03
 2.51453197e+03
 2.51394365e+03
 2.51368920e+03
 2.51361357e+03
 2.51346724e+03
 2.51327711e+03
 9.12411325e+288
 9.16490678e+199
 1.46364410e+161
 1.69680894e+153
 3.21974460e+125
 8.20220814e+110
 6.07594088e+106
 8.92020837e+98
 2.48682231e+92
 2.71123250e+98
 9.97702015e+104
 2.23656989e+97
 4.79273500e+103
 4.79951531e+115
 4.02438322e+116
 6.08576568e+106
 1.12346269e+89
 1.38577684e+77
 1.04650078e+75
 1.67236717e+82
 7.45191766e+98
 2.48678588e+92
 5.83650305e+93
 3.73859863e+114
 1.39713188e+125
 3.51445092e+133
 4.74651897e+154
 5.92022159e+221
 1.03654627e+276
 1.59425525e+292
 2.46332053e+257
 8.95311371e+249
 Inf
 Inf
 Inf
 Inf
 2.51336608e+03
 2.51381835e+03
 2.51402577e+03
 2.51435978e+03
 2.51476961e+03
 2.51517575e+03
 2.51536970e+03
 2.51474537e+03
 2.51459970e+03
 2.51514295e+03
 2.51553398e+03
 2.51584277e+03
 2.51597515e+03
 2.51523930e+03
 2.51484845e+03
 2.51478189e+03
 2.51473817e+03
 2.51500951e+03
 2.51518126e+03
 2.51508091e+03
 2.51505443e+03
 2.51558199e+03
 2.51575440e+03
 2.51588437e+03
 2.51637442e+03
 2.51652700e+03
 2.51643763e+03
 2.51664982e+03
 2.51745660e+03
 2.51807152e+03
 2.51828306e+03
 2.51838582e+03
 2.51845792e+03
 2.51710637e+03
 2.51612079e+03
 2.51579841e+03
 2.51511859e+03
 2.51475749e+03
 2.51445070e+03
 2.51431470e+03
 2.51405710e+03
 2.51378656e+03
 2.51404308e+03
 2.51432485e+03
 2.51451631e+03
 2.51492672e+03
 2.51485577e+03
 2.51478423e+03
 2.51473096e+03
 2.51458366e+03
 2.51457719e+03
 2.51451186e+03
 2.51490886e+03
 2.51469987e+03
 2.51428048e+03
 2.51502788e+03
 2.51564899e+03
 2.51532660e+03
 2.51567963e+03
 2.51652322e+03
 2.51692579e+03
 2.51781366e+03
 2.51755028e+03
 2.51646967e+03
 2.51624303e+03
 2.51547159e+03
 2.51539012e+03
 2.51582362e+03
 2.51569806e+03
 2.51569285e+03
 2.51521430e+03
 2.51491653e+03
 2.51483107e+03
 2.51522539e+03
 2.51541020e+03
 2.51406062e+03
 2.51394045e+03
 2.51498602e+03
 2.51518690e+03
 2.51578884e+03
 2.51605747e+03
 2.51536386e+03
 2.51534479e+03
 2.51543634e+03
 2.51578883e+03
 2.51613423e+03
 2.51598473e+03
 2.51588759e+03
 2.51593261e+03
 2.51612074e+03
 2.51572613e+03
 2.51620517e+03
 2.51704440e+03
 2.51754670e+03
 2.51822509e+03
 2.51770817e+03
 2.51812799e+03
 2.51798000e+03
 2.51677149e+03
 2.51711388e+03
 2.51811067e+03
 2.51837709e+03
 2.51761249e+03
 2.51857142e+03
 2.51961136e+03
 2.51916348e+03
 2.52033124e+03
 2.51977197e+03
 2.51980487e+03
 2.52255385e+03
 2.52566851e+03
 2.52715332e+03
 2.52550708e+03
 2.52420914e+03
 2.52389689e+03
 2.52248740e+03
 2.52040028e+03
 2.51876098e+03
 2.51783923e+03
 2.51663894e+03
 2.51521155e+03
 2.51494733e+03
 2.51439108e+03
 2.51424885e+03
 2.51494979e+03
 2.51507580e+03
 2.51512405e+03
 2.51560319e+03
 2.51505166e+03
 2.51447891e+03
 2.51483345e+03
 2.51566122e+03
 2.51608740e+03
 2.51540719e+03
 2.51615433e+03
 2.51698674e+03
 2.51638483e+03
 2.51692552e+03
 2.51745261e+03
 2.51662428e+03
 2.51588435e+03
 2.51544812e+03
 2.51529271e+03
 2.51480629e+03
 2.51459281e+03
 2.51415686e+03
 2.51367648e+03
 2.51366530e+03
 2.51346899e+03
 2.51329880e+03
 2.51327680e+03
 Inf
 1.16026812e+218
 6.72983711e+265
 Inf
 2.13397001e+211
 1.24760959e+183
 2.87013055e+175
 5.46026625e+123
 3.00791784e+102
 2.33467371e+94
 8.72866311e+85
 4.08309902e+86
 7.62072739e+83
 6.47603834e+74
 1.24440345e+73
 1.40103579e+74
 1.69373310e+74
 1.69822629e+75
 2.76855297e+75
 5.32708080e+71
 2.62522152e+81
 1.27743920e+89
 5.64439631e+90
 1.58157646e+80
 5.65235454e+64
 1.26782383e+69
 4.75843405e+69
 2.26447997e+60
 2.12534148e+58
 1.12909196e+57
 4.25635141e+55
 1.73449193e+53
 7.12476038e+48
 1.31873042e+46
 3.24747617e+45
 8.60467783e+44
 8.11221973e+43
 3.78205506e+43
 4.24843335e+42
 4.50728719e+42
 5.18241676e+43
 6.68712802e+42
 2.13598726e+42
 4.37340861e+42
 8.52374078e+42
 5.20008171e+44
 5.34193358e+46
 3.20571354e+48
 3.75143721e+49
 2.38103301e+51
 3.61299311e+54
 8.39762765e+51
 3.34818470e+50
 5.45188726e+49
 1.15601664e+50
 8.39383084e+55
 6.02604399e+57
 1.43619369e+56
 2.10127157e+53
 9.45009679e+53
 1.77411281e+56
 2.59272885e+57
 1.97948952e+56
 1.52111717e+52
 5.09985363e+51
 5.51191206e+55
 1.85109476e+55
 8.40134660e+51
 1.10143563e+52
 2.00630419e+50
 3.91614301e+48
 5.67471928e+49
 6.70704782e+49
 3.14632578e+45
 2.44130208e+43
 2.06835515e+44
 5.94837235e+44
 4.71494880e+44
 1.51491441e+46
 1.71219794e+48
 3.75825701e+48
 3.61442847e+48
 1.65512149e+49
 4.06538309e+51
 3.55804567e+53
 1.10509896e+55
 1.33691813e+58
 1.14766747e+65
 5.34025263e+78
 1.47303714e+85
 7.43870093e+78
 3.15176389e+94
 8.20182888e+134
 7.93204583e+137
 2.16424014e+132
 2.32960007e+134
 1.21600199e+142
 4.58604698e+157
 1.09591649e+196
 1.33437969e+241
 8.15373341e+232
 3.88166368e+279
 Inf
 2.37097693e+256
 1.85567977e+200
 1.10564243e+196
 4.64884067e+211
 2.59806704e+226
 4.03182026e+227
 2.11634179e+211
 1.02135980e+159
 3.04852969e+115
 2.74714555e+93
 1.49950834e+82
 9.70496643e+83
 3.80422686e+87
 3.86571196e+92
 7.09943189e+97
 1.00154804e+102
 1.88788784e+115
 5.69587928e+135
 6.49215934e+181
 Inf
 Inf
 Inf
 2.51330615e+03
 2.51338242e+03
 2.51332240e+03
 2.51327495e+03
 2.51327604e+03
 Inf
 Inf
 Inf
 Inf
 2.51327745e+03
 2.51330832e+03
 Inf
 Inf
 2.51327527e+03
 2.51327587e+03
 Inf
 2.51327745e+03
 2.51327448e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51328523e+03
 2.51334834e+03
 2.50993642e+03
 2.51360094e+03
 2.51359405e+03
 2.51369821e+03
 2.51407479e+03
 2.51436810e+03
 2.51436262e+03
 2.51391787e+03
 2.51407477e+03
 2.51389886e+03
 2.51344519e+03
 2.51366769e+03
 2.51375573e+03
 2.51348694e+03
 2.51340654e+03
 2.51329636e+03
 Inf
 Inf
 2.51332284e+03
 2.51362407e+03
 2.51365414e+03
 2.51354761e+03
 2.51356235e+03
 2.51343626e+03
 2.51350472e+03
 2.51392587e+03
 2.51383755e+03
 2.51357423e+03
 2.51341462e+03
 2.51367145e+03
 2.51369566e+03
 2.51387706e+03
 2.51415500e+03
 2.51390833e+03
 2.51380668e+03
 2.51361472e+03
 2.51352224e+03
 2.51358967e+03
 2.51355917e+03
 2.51335898e+03
 2.51327983e+03
 Inf
 2.77884905e+168
 1.07194681e+148
 3.91754598e+129
 1.58434230e+113
 2.45938728e+142
 8.97616287e+209
 Inf
 Inf
 Inf
 Inf
 2.51329462e+03
 Inf
 Inf
 Inf
 Inf
 1.52735018e+185
 4.88001112e+115
 2.16604632e+120
 2.38798482e+101
 9.36271545e+70
 2.96121415e+63
 2.71832859e+68
 2.40709943e+71
 3.12715774e+73
 3.98959875e+74
 1.75542370e+80
 1.05999597e+81
 3.37650281e+79
 6.27830644e+98
 5.14161591e+109
 2.25844188e+87
 4.60475066e+85
 2.47428365e+92
 6.42316932e+116
 4.94460448e+185
 6.88114383e+230
 8.92017901e+249
 2.69820977e+275
 3.98435788e+237
 7.73603647e+176
 4.93960421e+175
 2.44598761e+184
 1.11265974e+158
 1.14218055e+181
 4.26975438e+299
 3.99347414e+237
 3.38008673e+215
 3.05629583e+189
 9.29100896e+185
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327429e+03
 Inf
 1.61577275e+280
 Inf
 Inf
 9.02221568e+208
 1.35494916e+202
 2.41822084e+286
 Inf
 2.91642578e+224
 1.21374091e+166
 1.62766228e+146
 2.97546035e+126
 2.90392411e+119
 7.20541436e+117
 2.25746176e+119
 5.20802304e+102
 8.26533495e+107
 5.99501055e+155
 1.65532382e+168
 8.50606561e+166
 5.63636970e+169
 1.74402245e+122
 4.09156895e+101
 8.24367170e+104
 2.93035978e+141
 2.08210122e+300
 7.31854903e+292
 2.30978176e+254
 8.14381924e+238
 2.86668560e+195
 8.85481370e+208
 1.79397569e+283
 1.74227085e+225
 1.21384204e+166
 8.54846277e+188
 2.28019609e+212
 1.99354023e+236
 4.11871358e+208
 1.30902043e+188
 1.36579160e+193
 1.08765170e+190
 5.91732699e+153
 2.48728441e+142
 4.69875587e+131
 1.88285232e+108
 1.48149862e+110
 7.90414844e+108
 1.44501884e+102
 8.04385163e+112
 8.36672098e+166
 7.36067042e+252
 1.58917785e+292
 Inf
 Inf
 Inf
 Inf
 2.51327474e+03
 2.51328652e+03
 2.51329787e+03
 2.51329083e+03
 2.51335841e+03
 2.51351243e+03
 2.51373120e+03
 2.51394041e+03
 2.51369175e+03
 2.51346724e+03
 2.51341913e+03
 2.51348694e+03
 2.51377102e+03
 2.51383910e+03
 2.51337661e+03
 2.51327570e+03
 Inf
 Inf
 Inf
 Inf
 7.39768598e+142
 4.40729667e+134
 7.33646404e+190
 3.43359908e+222
 2.04848697e+180
 3.14804763e+154
 6.63381790e+164
 1.08015933e+187
 5.59654159e+195
 3.04731595e+189
 1.19308587e+203
 4.70988620e+172
 2.17961691e+152
 1.22113691e+142
 2.84216791e+108
 8.92453185e+98
 2.52539275e+131
 3.68360618e+200
 1.97313764e+288
 1.25315387e+247
 7.51601536e+148
 2.93588973e+122
 3.39421763e+100
 4.37944995e+78
 1.10470367e+76
 4.75787203e+77
 2.08085810e+77
 5.98416156e+78
 4.95153291e+87
 7.08479321e+97
 2.24728937e+106
 1.02152349e+96
 4.29925885e+88
 1.48822020e+93
 8.49917395e+87
 3.31953217e+84
 1.15643675e+75
 1.01245232e+67
 4.95187951e+76
 1.27438436e+89
 3.64944898e+97
 1.67035885e+120
 1.23343140e+134
 1.21591176e+142
 5.01674293e+148
 3.71630973e+187
 4.64129729e+211
 5.67904589e+136
 3.11514693e+130
 2.15876992e+152
 4.39505214e+176
 5.58505205e+195
 2.12275825e+182
 Inf
 2.51328077e+03
 2.51328652e+03
 2.51330039e+03
 Inf
 5.04075168e+217
 Inf
 Inf
 Inf
 Inf
 6.85510574e+265
 3.43143742e+295
 Inf
 5.46030465e+236
 Inf
 2.51327690e+03
 Inf
 Inf
 Inf
 Inf
 2.51331249e+03
 2.51328932e+03
 2.51330405e+03
 2.51329666e+03
 2.51327416e+03
 2.51328029e+03
 2.51331327e+03
 2.51331248e+03
 Inf
 Inf
 Inf
 Inf
 2.51328362e+03
 2.51354761e+03
 2.51349808e+03
 2.51362643e+03
 2.51364558e+03
 2.51348786e+03
 2.51349996e+03
 2.51329757e+03
 Inf
 5.52924383e+198
 2.41080389e+163
 8.44718781e+122
 4.44049360e+117
 2.89682459e+129
 7.22941838e+147
 4.42514846e+199
 6.27683900e+280
 Inf
 Inf
 2.51329350e+03
 2.51375434e+03
 2.50502289e+03
 2.51327474e+03
 2.51327420e+03
 2.51382570e+03
 2.51498605e+03
 2.51414196e+03
 2.51338907e+03
 2.51332551e+03
 2.51349903e+03
 2.51391310e+03
 2.51397332e+03
 2.51418891e+03
 2.51415866e+03
 2.51439317e+03
 2.51428245e+03
 2.51390359e+03
 2.51416809e+03
 2.51450083e+03
 2.51547160e+03
 2.51623261e+03
 2.51563969e+03
 2.51515933e+03
 2.51497569e+03
 2.51485094e+03
 2.51457458e+03
 2.51409629e+03
 2.51399169e+03
 2.51411076e+03
 2.51433301e+03
 2.51524211e+03
 2.51588118e+03
 2.51566415e+03
 2.51589069e+03
 2.51581714e+03
 2.51493182e+03
 2.51422347e+03
 2.51416257e+03
 2.51448326e+03
 2.50166462e+03
 2.51394365e+03
 2.51345183e+03
 2.51331689e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51327998e+03
 Inf
 Inf
 Inf
 2.51328812e+03
 2.51328652e+03
 Inf
 Inf
 Inf
 2.51328957e+03
 2.51333297e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 8.16289434e+219
 1.10112938e+199
 2.88408478e+214
 5.09591096e+212
 6.72300512e+265
 Inf
 2.51327415e+03
 Inf
 1.65469504e+229
 8.58093183e+166
 4.28276143e+151
 2.53521024e+176
 4.15820594e+209
 3.44552684e+222
 1.05471491e+230
 7.11401042e+192
 6.89175542e+230
 Inf
 Inf
 Inf
 3.78487223e+304
 2.62613071e+226
 5.38751096e+236
 8.12506282e+238
 5.93570995e+162
 1.60660332e+189
 2.22113149e+239
 1.63111817e+229
 2.13325322e+233
 1.40406928e+167
 2.78464690e+109
 1.48843978e+104
 5.30890585e+110
 4.18540342e+109
 2.31288882e+134
 1.68756205e+155
 6.40278641e+180
 3.38139357e+197
 1.02920638e+212
 3.66961803e+161
 1.57535297e+111
 5.17917544e+111
 4.52822900e+98
 4.85765275e+82
 5.34278383e+71
 3.70957503e+75
 8.32323037e+81
 3.48699392e+72
 8.61818268e+72
 2.36998481e+73
 2.47545818e+74
 7.18586844e+72
 2.00608854e+76
 8.56733180e+83
 7.38686304e+88
 5.23184516e+85
 1.10815880e+88
 1.38530583e+77
 7.08518197e+67
 4.04397939e+86
 1.90056896e+85
 3.15357134e+71
 5.46099507e+72
 1.86698474e+86
 4.68608197e+114
 3.44140556e+131
 1.01201290e+133
 2.95405162e+157
 3.63746242e+161
 1.59979145e+132
 2.51445035e+116
 7.90431971e+86
 6.90074687e+82
 2.07760003e+99
 3.86053619e+105
 2.37838217e+101
 3.89336022e+89
 8.05775036e+77
 6.10600229e+82
 3.86646138e+89
 2.96752081e+81
 5.61395574e+88
 1.38344876e+101
 5.78873778e+103
 6.30181870e+151
 2.24858714e+254
 2.14878322e+300
 Inf
 2.51337346e+03
 2.51330869e+03
 2.51331813e+03
 2.51342447e+03
 2.51333790e+03
 2.51328077e+03
 Inf
 3.80922821e+304
 1.59944663e+292
 1.08955482e+204
 9.74229304e+174
 5.72348957e+144
 5.46379196e+132
 8.31891508e+134
 2.39523433e+114
 3.90702945e+126
 1.15473506e+150
 2.59502634e+170
 4.29749953e+196
 5.57868433e+233
 2.44305243e+278
 Inf
 Inf
 Inf
 3.89869571e+268
 2.20184399e+196
 1.93617614e+174
 6.94784624e+126
 6.10886904e+113
 1.98106430e+114
 1.06962102e+119
 2.13104789e+127
 3.82625724e+115
 4.61074581e+95
 5.22381271e+92
 6.41410346e+112
 2.47606640e+145
 1.61231556e+92
 2.66933394e+96
 6.48920623e+164
 5.07338978e+128
 2.24964843e+97
 1.33862354e+91
 1.07869849e+103
 6.34101766e+98
 9.93364296e+85
 1.14044082e+73