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 Inf
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 4.60981119e+23
 5.55365835e+24
 3.10111981e+24
 7.52749012e+24
 1.09406263e+25
 6.17672657e+24
 1.05908973e+18
 3.32532971e+17
 6.05111627e+22
 2.12320146e+22
 1.62312836e+22
 8.54846040e+21
 6.55894857e+21
 1.59780336e+22
 7.24216143e+22
 6.73317874e+23
 3.48816890e+24
 1.56586751e+25
 9.67432534e+25
 3.03662845e+26
 1.77182427e+26
 1.14640977e+26
 9.88230542e+26
 1.24319133e+27
 2.09256930e+27
 6.09880973e+27
 1.59281694e+28
 4.76200916e+28
 4.30936073e+29
 6.31036081e+30
 3.08450256e+30
 5.40232709e+29
 2.17612138e+30
 2.10121032e+30
 2.39867776e+30
 5.03983270e+30
 4.97966481e+32
 5.17751418e+35
 5.58414981e+39
 8.24350891e+42
 2.08505572e+46
 1.99718462e+50
 3.34408854e+48
 1.20246090e+47
 6.97836946e+49
 3.05731850e+49
 5.87341256e+45
 2.60165729e+46
 6.80696606e+48
 8.07270548e+52
 2.10717614e+60
 2.24621418e+69
 2.44729285e+76
 4.74358879e+103
 1.10458408e+84
 9.68314823e+87
 7.22967785e+168
 2.49074816e+221
 1.07519772e+222
 3.46143569e+171
 8.07871236e+156
 2.68783739e+191
 4.00733498e+227
 1.82600872e+270
 Inf
 Inf
 Inf
 2.51327422e+03
 2.51328630e+03
 2.51327690e+03
 2.51327490e+03
 Inf
 Inf
 Inf
 2.49448020e+184
 2.31608578e+147
 8.42405213e+122
 1.21814432e+105
 7.85036112e+109
 1.00551145e+102
 5.38556822e+95
 5.84359218e+93
 4.61569247e+85
 3.67541792e+90
 2.77276229e+86
 1.69994195e+77
 2.71693746e+76
 2.42557301e+72
 3.17296366e+72
 3.80141477e+72
 6.00824774e+73
 5.64453223e+68
 2.57063560e+64
 6.09421459e+69
 1.24220754e+65
 1.70779386e+63
 1.48588314e+73
 5.47303017e+73
 3.17576776e+63
 1.03100395e+59
 1.48490009e+63
 3.86793808e+62
 2.12581701e+62
 2.73631264e+15
 1.93586664e+16
 3.09578919e+82
 3.34760444e+100
 8.93197318e+133
 5.10570332e+191
 Inf
 Inf
 4.62540609e+287
 7.05486211e+243
 1.06087734e+221
 2.19047010e+196
 1.98753685e+236
 1.19888820e+232
 1.08436191e+165
 1.65979403e+139
 1.32149295e+177
 Inf
 Inf
 Inf
 Inf
 2.51327621e+03
 Inf
 Inf
 7.41320987e+255
 8.66246372e+188
 8.29305584e+144
 1.21730767e+124
 2.15295209e+117
 2.07544885e+124
 1.69171945e+126
 2.00658228e+100
 7.94582828e+93
 1.17703668e+100
 2.94593272e+84
 2.46830463e+69
 4.62264079e+65
 3.40873585e+64
 5.09313161e+58
 3.28377375e+54
 2.42455851e+54
 4.03223268e+55
 9.55437509e+56
 3.19006418e+61
 1.32938326e+65
 1.29711098e+70
 4.96094706e+76
 2.11478111e+82
 2.41259713e+19
 1.43485807e+20
 1.13488952e+91
 3.27051561e+83
 4.68509287e+83
 2.75220064e+80
 9.69726514e+83
 1.80803778e+90
 2.27869649e+83
 1.57993583e+79
 2.39365677e+90
 5.04789464e+118
 3.35490828e+156
 4.19665329e+225
 1.19990392e+203
 2.49201182e+159
 1.01807789e+133
 1.67773720e+121
 3.23746517e+98
 8.39736665e+81
 6.03057931e+92
 1.00131078e+113
 1.63807270e+139
 3.69435010e+200
 3.20222095e+201
 6.53823153e+158
 1.22269501e+142
 1.03488911e+131
 1.04940216e+117
 1.25819662e+99
 4.26705680e+91
 1.07640698e+94
 3.69212800e+96
 6.06133948e+80
 2.46093808e+76
 8.43726769e+87
 2.47293831e+99
 5.50243346e+107
 5.31532329e+110
 2.16255377e+120
 6.48871482e+116
 3.38962810e+100
 1.88485674e+81
 4.45683731e+61
 2.43550764e+54
 2.97940572e+48
 8.63511290e+41
 1.56304404e+39
 3.09754772e+39
 4.00531289e+40
 8.33336788e+41
 1.35381187e+44
 4.61565143e+46
 1.71289658e+48
 6.20002742e+46
 2.02556124e+49
 4.23574342e+48
 1.40622829e+44
 3.73774771e+44
 7.60722652e+43
 8.42594987e+40
 4.11639898e+39
 1.16710469e+38
 4.57907130e+36
 3.73963773e+35
 4.88434134e+35
 9.93471287e+35
 7.08610842e+37
 1.56055790e+40
 5.71369510e+40
 2.26212053e+42
 8.34791470e+41
 4.29808089e+41
 1.93277750e+45
 2.43498036e+47
 1.31730617e+46
 4.57935748e+43
 9.40976814e+40
 2.50058751e+41
 4.23710745e+40
 3.36140039e+38
 4.78646053e+36
 3.02185298e+36
 5.73501367e+38
 2.81525766e+40
 3.59597028e+40
 6.80269728e+41
 3.14252373e+42
 1.26970778e+43
 4.86608392e+43
 1.31308948e+46
 1.44465133e+47
 5.19427328e+47
 2.02713038e+49
 9.26414891e+45
 5.76141500e+44
 3.02778318e+45
 8.03880358e+42
 3.50857179e+40
 4.59475444e+40
 4.22308015e+39
 1.27256154e+41
 2.40139176e+42
 6.07116353e+41
 7.87293112e+41
 4.72690822e+40
 3.59715401e+40
 5.87487484e+40
 5.62066225e+38
 3.52606835e+36
 1.51041309e+37
 6.81730548e+38
 5.32072168e+39
 1.04391859e+39
 3.40222383e+40
 8.40008534e+40
 3.77144371e+43
 1.87419134e+46
 3.25032320e+42
 4.68638758e+41
 8.34252407e+41
 5.88021477e+43
 4.78494893e+46
 9.74728349e+49
 3.76682104e+58
 2.06701912e+64
 1.91015672e+69
 1.25485867e+80
 3.85226277e+92
 5.87148201e+99
 5.71367928e+91
 2.87695969e+92
 7.81880325e+119
 1.87886019e+133
 6.44806664e+122
 1.06157338e+165
 1.04942857e+242
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.37315528e+36
 1.96789735e+38
 2.51329350e+03
 2.51338639e+03
 2.51338241e+03
 2.51346462e+03
 2.51399842e+03
 2.51472137e+03
 2.51565204e+03
 2.51637800e+03
 2.51798471e+03
 2.52097407e+03
 2.52488327e+03
 2.52930426e+03
 2.53187664e+03
 2.53774902e+03
 2.54505288e+03
 2.54905234e+03
 2.55756641e+03
 2.56731608e+03
 2.57965856e+03
 2.59502244e+03
 2.60803789e+03
 2.61594441e+03
 2.62373487e+03
 2.64051612e+03
 2.64341331e+03
 2.63001106e+03
 2.62418828e+03
 2.62695488e+03
 2.52943352e+03
 2.62372088e+03
 2.61846430e+03
 2.61345225e+03
 2.61130836e+03
 2.60775946e+03
 2.59968513e+03
 2.48350390e+03
 2.60810200e+03
 2.60963470e+03
 2.61190187e+03
 2.60844340e+03
 2.60244354e+03
 2.59866299e+03
 2.58646289e+03
 2.57612725e+03
 2.57452366e+03
 2.56951284e+03
 2.51416999e+03
 2.51388033e+03
 2.55789601e+03
 2.47408934e+03
 2.48633173e+03
 2.56040072e+03
 2.56071743e+03
 2.55512462e+03
 2.55029759e+03
 2.54625252e+03
 2.54207695e+03
 2.53692031e+03
 2.53338933e+03
 2.53091954e+03
 2.52829355e+03
 2.52615628e+03
 2.52363800e+03
 2.52132003e+03
 2.51964146e+03
 2.51893957e+03
 2.51735958e+03
 2.51586511e+03
 2.51438898e+03
 2.51357206e+03
 2.51332372e+03
 Inf
 2.29155151e+183
 2.18871384e+121
 5.65250555e+104
 1.89424288e+77
 1.23501696e+61
 3.40005564e+56
 2.54692092e+53
 4.82395198e+49
 2.01188573e+44
 7.50278490e+39
 3.60042572e+35
 6.37748748e+32
 6.52421848e+31
 4.02132571e+31
 2.40351140e+30
 1.42908996e+28
 5.16792929e+26
 6.27379426e+25
 1.96695597e+25
 2.32559404e+25
 4.28934327e+24
 7.43259333e+23
 3.61317811e+22
 2.90948962e+22
 2.28008262e+23
 3.07586283e+22
 6.66122948e+21
 5.72980125e+21
 3.84772826e+21
 1.05702783e+21
 5.07827143e+20
 3.38080545e+20
 2.89656716e+20
 4.88358170e+20
 6.37555874e+20
 7.15521748e+20
 6.17912868e+20
 5.40659158e+20
 6.66864256e+20
 4.44844545e+20
 5.07496146e+20
 5.86987893e+20
 3.73450783e+20
 3.15751522e+20
 4.97725194e+20
 1.92691693e+21
 2.22171232e+21
 1.42968833e+21
 1.54786467e+21
 2.66951333e+21
 5.01086376e+21
 2.58337920e+21
 1.80497028e+21
 4.47869706e+21
 5.08260125e+21
 2.58331022e+21
 1.78370736e+22
 4.03976823e+22
 2.48514254e+22
 4.97855539e+22
 5.86509156e+22
 6.05202069e+22
 5.77659431e+22
 4.46154617e+23
 2.52987433e+24
 2.87741980e+24
 1.81304888e+24
 1.61780967e+25
 8.76332469e+24
 1.58237509e+25
 2.46978997e+23
 5.39107901e+23
 6.91633461e+25
 2.56757341e+26
 4.97933137e+26
 1.88302093e+27
 5.51743771e+26
 2.06714891e+27
 3.96823792e+28
 9.29399201e+28
 1.57599579e+28
 2.84844655e+28
 2.13585293e+29
 2.52151841e+03
 2.62687517e+03
 2.50864758e+03
 2.63373629e+03
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 2.63720028e+03
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 2.62981855e+03
 2.65222921e+03
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 2.63621364e+03
 2.64241161e+03
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 2.65393895e+03
 2.63868332e+03
 2.61362612e+03
 2.60662965e+03
 2.61879685e+03
 2.62694177e+03
 2.62372731e+03
 2.61255041e+03
 2.60963637e+03
 2.61737449e+03
 2.63361483e+03
 2.64808423e+03
 2.66673554e+03
 2.67972618e+03
 2.65753819e+03
 2.64068412e+03
 2.63788749e+03
 2.63515452e+03
 2.62178868e+03
 2.61137526e+03
 2.60803530e+03
 2.54379711e+03
 2.55341743e+03
 2.63905750e+03
 2.51315455e+03
 2.64747148e+03
 2.65715546e+03
 2.51668920e+03
 2.64755583e+03
 2.62948413e+03
 2.62202189e+03
 2.61325105e+03
 2.60870237e+03
 2.60752090e+03
 2.61000334e+03
 2.62166492e+03
 2.62498539e+03
 2.62784888e+03
 2.63477231e+03
 2.66224931e+03
 2.69508431e+03
 2.69930432e+03
 2.68435635e+03
 2.66688211e+03
 2.66517361e+03
 2.66659360e+03
 2.64264664e+03
 2.49998463e+03
 2.66738480e+03
 2.67138873e+03
 2.66642960e+03
 2.64396580e+03
 2.51457291e+03
 2.66654472e+03
 2.67212898e+03
 2.67998805e+03
 2.70358253e+03
 2.68981973e+03
 2.65777171e+03
 2.66601250e+03
 2.67303997e+03
 2.66119040e+03
 2.66540196e+03
 2.67587356e+03
 2.67298315e+03
 2.66200599e+03
 2.64826054e+03
 2.65852776e+03
 2.68533747e+03
 2.69642023e+03
 2.51673440e+03
 2.51500469e+03
 2.67457199e+03
 2.79329985e+03
 2.66541472e+03
 2.61825316e+03
 2.66423974e+03
 2.64053126e+03
 2.64569935e+03
 2.66288193e+03
 2.64098948e+03
 2.59557622e+03
 2.61054598e+03
 2.66571662e+03
 2.67645585e+03
 2.68290043e+03
 2.61675015e+03
 2.55754053e+03
 2.53574702e+03
 2.52284722e+03
 2.51966686e+03
 2.51671599e+03
 2.51469518e+03
 2.51374474e+03
 2.51334146e+03
 2.51327640e+03
 Inf
 6.31531510e+239
 1.37583161e+193
 1.36371301e+154
 4.05890922e+116
 4.79274954e+61
 2.36161558e+42
 4.01668360e+39
 7.01099744e+38
 3.23275777e+36
 9.59356153e+30
 2.52046397e+03
 2.63386541e+03
 2.65285146e+03
 2.65974413e+03
 2.67187059e+03
 2.66932864e+03
 2.67410745e+03
 2.67282739e+03
 2.65210989e+03
 2.63845267e+03
 2.60027656e+03
 2.53010151e+03
 2.51350953e+03
 2.51345187e+03
 2.51336729e+03
 2.51332240e+03
 2.51327419e+03
 Inf
 Inf
 2.42037493e+266
 8.03523671e+219
 7.11841280e+177
 3.96314884e+144
 8.34233769e+134
 1.29809982e+121
 5.24494750e+108
 2.54154430e+03
 2.65498348e+03
 2.67273631e+03
 2.68724440e+03
 2.68261014e+03
 2.67985388e+03
 2.68575806e+03
 2.51933313e+03
 2.67589061e+03
 2.69652205e+03
 2.68881076e+03
 2.66917325e+03
 2.54843618e+03
 2.65035725e+03
 2.65354273e+03
 2.66642786e+03
 2.65522027e+03
 2.65412723e+03
 2.66011214e+03
 2.66497602e+03
 2.67908222e+03
 2.69188650e+03
 2.68834630e+03
 2.70184054e+03
 2.71383611e+03
 2.67167674e+03
 2.66431145e+03
 2.68282222e+03
 2.67077230e+03
 2.65790078e+03
 2.50927038e+03
 2.65746959e+03
 2.64638252e+03
 6.61020013e+37
 4.37231359e+12
 3.58073287e+20
 1.95723588e+16
 1.40393751e+14
 2.08336774e+13
 1.13691327e+13
 1.02348881e+13
 7.71300415e+12
 6.10102336e+12
 5.32005865e+12
 2.41588624e+13
 5.11827006e+12
 3.61649217e+12
 2.87800000e+12
 2.38245868e+12
 2.77800475e+12
 3.30158604e+12
 2.06352445e+12
 1.54967012e+12
 2.00532569e+12
 2.18342406e+12
 1.51620033e+12
 1.19762072e+12
 1.46265821e+12
 1.54744729e+12
 1.49436084e+12
 1.29008540e+12
 8.43891284e+11
 6.63642747e+11
 6.36748780e+11
 7.09075044e+11
 7.88184558e+11
 6.88503594e+11
 4.88128077e+11
 4.47952463e+11
 5.01208465e+11
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 3.94925407e+11
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 3.74122744e+11
 3.49137936e+11
 3.69528262e+11
 3.15549817e+11
 2.58564322e+11
 2.14270523e+11
 2.20880513e+11
 1.96449015e+11
 1.63275723e+11
 1.48958044e+11
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 7.71034447e+11
 1.54988866e+11
 1.32787612e+11
 1.48162097e+11
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 1.86945888e+11
 1.93183696e+11
 1.82730249e+11
 1.46894224e+11
 6.02941017e+11
 1.70396229e+11
 1.84807489e+11
 1.68732742e+11
 1.75318062e+11
 1.52129193e+11
 1.20392973e+11
 5.65479907e+11
 1.37711119e+11
 1.60402858e+11
 1.79027571e+11
 1.47905139e+11
 1.12304357e+11
 4.70006286e+11
 1.32980591e+11
 1.38137873e+11
 1.49926006e+11
 6.22749751e+11
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 1.44632543e+11
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 1.32959592e+11
 5.74704866e+11
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 1.25883852e+11
 1.10637450e+11
 1.23344322e+11
 1.36956819e+11
 1.27432758e+11
 1.18416462e+11
 1.26844274e+11
 1.33895641e+11
 1.15415676e+11
 9.40055751e+10
 1.03634589e+11
 1.26895306e+11
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 1.41859671e+11
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 1.54396058e+11
 1.61478461e+11
 1.79074418e+11
 2.25446357e+11
 2.13139830e+11
 1.62233890e+11
 6.44073290e+11
 1.82070622e+11
 7.40266725e+11
 1.62137374e+11
 1.50388604e+11
 1.67217157e+11
 1.86896120e+11
 1.69442492e+11
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 1.70976365e+11
 1.40508907e+11
 1.50645311e+11
 1.85562772e+11
 1.77315116e+11
 1.67032481e+11
 1.79645610e+11
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 2.37373150e+11
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 3.36705900e+11
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 5.12676282e+11
 5.28926616e+11
 5.22121201e+11
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 4.10526550e+12
 8.08801779e+11
 7.71126115e+11
 8.67645032e+11
 1.21811737e+12
 1.03425338e+12
 8.95465333e+11
 1.23495962e+12
 5.30533240e+12
 1.13278344e+12
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 Inf
 Inf
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 Inf
 2.51327548e+03
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 Inf
 2.51332284e+03
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 2.51334094e+03
 Inf
 Inf
 Inf
 1.06282625e+226
 6.42678032e+228
 3.76477128e+200
 1.00706295e+228
 6.31338303e+280
 3.39564005e+215
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 3.74520650e+200
 3.82439425e+182
 5.91082517e+153
 2.32629306e+266
 Inf
 Inf
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 9.29471251e+271
 Inf
 Inf
 Inf
 2.51330474e+03
 2.51393231e+03
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 2.51427450e+03
 2.51355600e+03
 2.51345016e+03
 2.51334672e+03
 Inf
 Inf
 Inf
 Inf
 2.51328932e+03
 2.51333590e+03
 2.51336132e+03
 2.51347163e+03
 2.51357860e+03
 2.51371389e+03
 2.51382129e+03
 2.51352921e+03
 2.51330723e+03
 Inf
 Inf
 Inf
 7.40433427e+292
 1.81682712e+298
 Inf
 2.51331730e+03
 1.00042502e+32
 1.16907364e+33
 2.51415313e+03
 2.51467198e+03
 2.51448104e+03
 2.51421959e+03
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 1.55407904e+91
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 2.21839397e+72
 1.87025850e+75
 2.83241099e+77
 9.35552471e+81
 2.59930032e+104
 9.18326262e+169
 Inf
 2.51328982e+03
 2.51338374e+03
 2.51350377e+03
 2.51347340e+03
 2.51369950e+03
 2.51386784e+03
 2.51381833e+03
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 2.51451632e+03
 2.51450504e+03
 2.51458366e+03
 2.51422928e+03
 2.51374611e+03
 2.51330269e+03
 Inf
 2.62180624e+281
 1.76947803e+216
 1.67207634e+168
 2.49392841e+142
 5.67485487e+130
 3.89232821e+113
 3.47308836e+110
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 1.94816956e+98
 4.82929381e+84
 2.71937672e+79
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 7.87777506e+72
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 3.21372785e+48
 2.69328778e+46
 8.03020557e+45
 3.10423714e+46
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 6.68249857e+53
 5.71021893e+65
 2.76230842e+66
 7.62755154e+67
 5.06542020e+89
 3.98394163e+116
 4.66617888e+131
 7.32848446e+190
 Inf
 Inf
 Inf
 2.51329696e+03
 2.51336428e+03
 2.51335329e+03
 2.51327465e+03
 2.51328461e+03
 2.51330906e+03
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 2.51408192e+03
 2.51378798e+03
 2.51369305e+03
 2.51351829e+03
 2.51343387e+03
 2.51337346e+03
 Inf
 Inf
 Inf
 4.68344662e+231
 5.76199708e+144
 1.77110993e+119
 1.83729998e+110
 3.40832530e+101
 1.40975280e+84
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