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 Inf
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 2.51385261e+03
 2.51367270e+03
 2.51414754e+03
 2.51395343e+03
 2.51522817e+03
 2.51839913e+03
 2.51955688e+03
 2.52038987e+03
 2.51975186e+03
 2.51840360e+03
 2.52036819e+03
 2.52117450e+03
 2.51987402e+03
 2.52003191e+03
 2.52057646e+03
 2.52016303e+03
 2.52185279e+03
 2.52458696e+03
 2.52243270e+03
 2.51996141e+03
 2.48741630e+03
 2.51959618e+03
 2.51882160e+03
 2.51827839e+03
 2.51630825e+03
 2.51826921e+03
 2.52415632e+03
 2.52478641e+03
 2.52182371e+03
 2.52011671e+03
 2.52005278e+03
 2.51936830e+03
 2.51845330e+03
 2.51636044e+03
 2.51763310e+03
 2.52144446e+03
 2.52012096e+03
 2.51865434e+03
 2.51891481e+03
 2.51842151e+03
 2.51807151e+03
 2.51884961e+03
 2.52076577e+03
 2.52108627e+03
 2.52122478e+03
 2.52080919e+03
 2.51940274e+03
 2.51959494e+03
 2.51881214e+03
 2.51674182e+03
 2.51421959e+03
 2.51420522e+03
 2.51496527e+03
 2.51512144e+03
 2.51565201e+03
 2.51523927e+03
 2.51481123e+03
 2.51466221e+03
 2.51461807e+03
 2.51713367e+03
 2.51913042e+03
 2.51798012e+03
 2.51847556e+03
 2.51902013e+03
 2.51938328e+03
 2.51902459e+03
 2.51730748e+03
 2.51587793e+03
 2.51619139e+03
 2.51680134e+03
 2.51579195e+03
 2.51572361e+03
 2.51654832e+03
 2.51644428e+03
 2.51670484e+03
 2.51669200e+03
 2.51650888e+03
 2.51788162e+03
 2.51965647e+03
 2.51894358e+03
 2.51620864e+03
 2.51464817e+03
 2.51562747e+03
 2.51702514e+03
 2.51540718e+03
 2.51437643e+03
 2.51445052e+03
 2.51428646e+03
 2.51400861e+03
 2.51390203e+03
 2.51452294e+03
 2.51471188e+03
 2.51466210e+03
 2.51591330e+03
 2.51492923e+03
 2.51350282e+03
 2.51374473e+03
 2.51473094e+03
 2.51521716e+03
 2.51612412e+03
 2.51715724e+03
 2.51725281e+03
 2.51658440e+03
 2.51551901e+03
 2.51563023e+03
 2.51579832e+03
 2.51442282e+03
 2.51372450e+03
 2.51351049e+03
 2.51346899e+03
 2.51330906e+03
 2.51332641e+03
 2.51337158e+03
 Inf
 2.51337471e+03
 2.51366025e+03
 2.51429249e+03
 2.51506765e+03
 2.51550124e+03
 2.51610737e+03
 2.51569815e+03
 2.51536966e+03
 2.51644126e+03
 2.51831397e+03
 2.51705968e+03
 2.51710409e+03
 2.51747287e+03
 2.51680126e+03
 2.51695574e+03
 2.51626337e+03
 2.51599479e+03
 2.51573554e+03
 2.51540724e+03
 2.51512401e+03
 2.51478423e+03
 2.51563973e+03
 2.51699439e+03
 2.51374747e+03
 9.14801587e+196
 2.04132474e+180
 2.51376542e+03
 1.16386248e+88
 5.82892548e+27
 2.45534958e+28
 2.65641846e+25
 9.25450756e+23
 2.65004384e+24
 2.93140684e+24
 9.91025065e+23
 1.29036047e+24
 7.95654923e+30
 5.82478980e+42
 3.34342167e+73
 2.51358856e+03
 Inf
 1.48384006e+56
 8.98978110e+36
 7.89406523e+35
 9.88855979e+38
 7.79532446e+34
 1.90548831e+29
 1.29150239e+27
 1.05945273e+27
 2.17990052e+39
 4.01394053e+110
 3.70143628e+91
 1.07457319e+42
 1.18666007e+34
 3.43435178e+34
 1.00275171e+35
 8.04483363e+35
 1.20170944e+36
 4.22864882e+35
 2.59444698e+36
 3.85340332e+53
 Inf
 2.51327422e+03
 6.04198367e+56
 1.72783755e+38
 1.33147764e+40
 5.12129050e+40
 3.30956978e+37
 1.58697944e+36
 4.16698753e+38
 3.13567828e+40
 1.69629225e+44
 5.08494183e+169
 1.36017843e+269
 6.91367764e+32
 2.75446933e+23
 5.87053826e+23
 2.33801157e+24
 1.69074424e+25
 2.46658669e+25
 6.76669095e+23
 8.84017764e+24
 2.14386475e+32
 2.47050043e+117
 3.10052272e+186
 2.21683243e+35
 1.08718014e+25
 1.32716457e+24
 5.88223322e+24
 6.52853206e+24
 9.84158431e+24
 6.58556352e+25
 1.74825889e+25
 7.17305821e+30
 6.45360385e+117
 8.73088507e+95
 1.04378123e+23
 1.21797634e+17
 4.44903255e+17
 2.45267961e+17
 4.49595212e+17
 1.87324296e+17
 1.59193741e+17
 2.65950659e+17
 7.08019737e+20
 2.33092085e+58
 1.55390944e+80
 9.77643412e+22
 1.04117092e+17
 2.65066828e+17
 1.36140708e+17
 8.29201323e+16
 7.38854314e+16
 6.22441406e+16
 6.31927803e+16
 9.09057252e+22
 1.69372250e+74
 3.87047526e+183
 3.28749157e+38
 2.74368815e+24
 2.54882883e+23
 1.87439408e+23
 1.63869020e+24
 1.31421491e+24
 2.03704481e+24
 3.90131097e+24
 2.40622382e+63
 2.51529267e+03
 2.51486038e+03
 2.51335898e+03
 2.35241100e+183
 9.61513735e+49
 2.63970950e+48
 2.51327548e+03
 6.98066887e+270
 3.41414130e+49
 8.59066023e+73
 5.86819332e+167
 3.63865388e+120
 2.51349903e+03
 Inf
 5.23217230e+66
 3.81623264e+80
 2.51327587e+03
 2.51649108e+03
 2.51916433e+03
 2.51702111e+03
 2.51555793e+03
 2.51563294e+03
 2.51718463e+03
 2.51855343e+03
 5.71836502e+35
 1.31755834e+15
 7.31689592e+21
 Inf
 3.32858032e+37
 3.10810876e+15
 8.40273332e+21
 4.76752728e+138
 2.51489371e+03
 2.51495893e+03
 2.51536963e+03
 2.60997864e+149
 1.23528625e+35
 8.76477644e+27
 5.78395106e+31
 1.41799393e+124
 2.51473818e+03
 7.88463677e+44
 4.21927816e+27
 1.77124143e+257
 Inf
 2.14428748e+45
 1.07538586e+35
 3.42015462e+34
 5.63935562e+35
 1.96419277e+74
 9.31146602e+62
 5.26530720e+32
 1.61737901e+37
 3.50739722e+51
 7.11033941e+219
 2.51478913e+03
 Inf
 1.44195968e+75
 5.88146760e+81
 1.31291756e+66
 6.17678364e+55
 6.10593346e+45
 7.97762575e+38
 5.41308258e+226
 2.51911588e+03
 1.61276366e+40
 3.49138954e+15
 8.62896139e+18
 2.29888589e+64
 2.36879499e+32
 9.43312275e+14
 1.74178790e+17
 1.64231852e+49
 1.29594240e+31
 2.43647420e+30
 2.51485091e+03
 2.51558597e+03
 1.85617967e+130
 1.51032469e+81
 2.51357423e+03
 1.65929473e+41
 7.88864966e+27
 7.67699672e+169
 6.96391444e+47
 9.81144393e+21
 4.33657599e+31
 6.37948273e+43
 1.63630715e+37
 9.33792774e+186
 7.31036866e+142
 2.01697046e+34
 5.52067691e+40
 1.45759930e+48
 1.69063013e+46
 2.76812435e+43
 5.26148737e+41
 1.94091518e+41
 9.49073144e+43
 1.52616036e+45
 1.59670784e+44
 3.82384710e+47
 5.55407264e+46
 1.94777090e+46
 5.39175715e+44
 4.73822665e+40
 1.36934650e+42
 1.60914953e+47
 4.88283597e+43
 2.28902364e+39
 1.27525835e+82
 4.01090030e+65
 4.59745998e+29
 3.49966329e+54
 2.51383759e+03
 2.51479171e+03
 2.51584915e+03
 2.51655925e+03
 2.51567655e+03
 2.51619153e+03
 2.51685008e+03
 2.51622904e+03
 2.51615481e+03
 2.51676404e+03
 2.51541883e+03
 2.51551257e+03
 2.51625308e+03
 2.51707538e+03
 2.51864048e+03
 2.51754637e+03
 2.49153519e+03
 2.51737563e+03
 2.51661343e+03
 2.51663671e+03
 2.51616789e+03
 2.51587154e+03
 2.51603739e+03
 2.51691044e+03
 2.51609056e+03
 2.51506498e+03
 2.51481869e+03
 2.51475269e+03
 2.51514024e+03
 2.51695991e+03
 2.51826512e+03
 2.51819567e+03
 2.51711417e+03
 2.51658453e+03
 2.51708297e+03
 2.51568274e+03
 2.51565331e+03
 2.51653754e+03
 2.51683899e+03
 2.51714940e+03
 2.51821177e+03
 2.51831970e+03
 2.51830790e+03
 2.51834514e+03
 2.51737564e+03
 2.51705230e+03
 2.51720412e+03
 2.51739184e+03
 2.51586186e+03
 2.51401202e+03
 2.51337982e+03
 2.51335555e+03
 2.51378940e+03
 2.51446802e+03
 2.51495757e+03
 2.51434325e+03
 2.51374474e+03
 2.51364195e+03
 2.51349809e+03
 2.51467390e+03
 2.51603756e+03
 2.51558488e+03
 2.51675660e+03
 2.51596516e+03
 2.51424098e+03
 2.51373390e+03
 2.51393876e+03
 2.51437016e+03
 2.51417185e+03
 2.51418497e+03
 2.51406415e+03
 2.51382571e+03
 2.51383146e+03
 2.51370732e+03
 2.51328765e+03
 Inf
 2.51333992e+03
 2.51344273e+03
 2.51349998e+03
 2.51372450e+03
 2.51436808e+03
 2.51560929e+03
 2.51550951e+03
 2.51368408e+03
 2.51327452e+03
 2.51357750e+03
 2.51463653e+03
 2.51506772e+03
 2.51521440e+03
 2.51611404e+03
 2.51537246e+03
 2.51454079e+03
 2.51474289e+03
 2.51409989e+03
 2.51392268e+03
 2.51541593e+03
 2.51597195e+03
 2.51453184e+03
 2.51478901e+03
 2.51715324e+03
 2.51734094e+03
 2.51607062e+03
 2.51495754e+03
 2.51469760e+03
 2.51622225e+03
 2.51706387e+03
 4.24169778e+150
 7.81059756e+30
 3.50761638e+57
 2.51340294e+03
 2.50890388e+03
 2.51328630e+03
 Inf
 2.51327817e+03
 2.51331486e+03
 2.51337918e+03
 Inf
 Inf
 2.51353528e+03
 2.51327925e+03
 7.89647282e+37
 1.12074342e+22
 2.03025162e+22
 1.05268479e+22
 8.89334562e+22
 1.66213497e+22
 9.38606194e+21
 1.36958256e+22
 6.60691805e+23
 1.40150757e+90
 2.51473578e+03
 4.06455925e+42
 3.61639601e+21
 2.05801484e+22
 1.38873971e+22
 3.49174760e+22
 1.41212891e+22
 4.42547003e+21
 8.66198919e+21
 1.31887492e+24
 3.35179424e+98
 2.51454530e+03
 1.66327477e+42
 1.77496288e+23
 5.47850797e+23
 2.22533089e+22
 3.04755408e+21
 1.64449518e+22
 2.25813374e+21
 1.91966848e+20
 6.57949075e+21
 2.23225808e+74
 2.51544519e+03
 6.01593420e+41
 9.68556215e+19
 1.86903010e+20
 1.26728144e+20
 9.92063204e+19
 4.53239391e+19
 2.08720671e+19
 4.00138862e+19
 3.77279481e+22
 2.94401432e+65
 2.51414014e+03
 2.68880930e+41
 1.53234032e+20
 1.64176170e+19
 3.75712677e+18
 1.43274465e+19
 2.99986787e+19
 1.19508486e+19
 3.38583786e+19
 1.16750986e+21
 2.64782521e+50
 2.51347075e+03
 1.48540205e+27
 7.17331448e+14
 3.20940938e+15
 8.59896946e+14
 9.84327959e+14
 3.06206091e+14
 1.29200759e+14
 2.15627909e+14
 1.53338632e+15
 2.58539180e+40
 2.51424687e+03
 5.10869250e+30
 4.34528233e+15
 1.45489838e+14
 9.85789100e+13
 1.47914777e+14
 2.07819777e+14
 1.03553001e+14
 8.90815933e+13
 6.18209172e+14
 1.44463500e+29
 2.06782034e+230
 1.81723888e+27
 1.47856143e+15
 1.18276461e+14
 5.41334088e+13
 6.46487370e+13
 1.31088305e+14
 5.95798794e+14
 8.14574669e+13
 3.67567331e+14
 3.34261977e+27
 1.38006334e+124
 5.75221912e+38
 6.34865408e+81
 2.51719648e+03
 3.41162887e+43
 6.04315969e+23
 2.14439314e+95
 4.70820761e+81
 4.27494341e+88
 2.51646966e+03
 4.17753574e+70
 4.64014617e+30
 9.19425952e+33
 8.40123977e+29
 1.19243372e+35
 6.47648418e+38
 1.41505135e+35
 2.00446614e+32
 1.71741757e+36
 2.00688103e+177
 2.51631525e+03
 2.51523072e+03
 2.51503858e+03
 2.51388792e+03
 2.51364557e+03
 7.46990745e+34
 4.00255278e+15
 1.26821556e+14
 2.56322423e+26
 1.59795378e+37
 7.47191584e+15
 1.56435120e+14
 7.38430569e+28
 1.67306830e+35
 1.74157688e+38
 2.51661705e+03
 2.51748330e+03
 2.69331945e+99
 3.44806579e+36
 1.64459805e+29
 1.75998985e+26
 2.14756494e+28
 2.20550163e+51
 2.51330202e+03
 1.25902170e+63
 4.29138763e+87
 2.51350953e+03
 1.88496509e+45
 3.36375433e+30
 2.09699749e+218
 2.51328342e+03
 3.34719333e+41
 7.44588543e+35
 1.10793122e+37
 2.31032793e+33
 1.17294045e+36
 2.40466877e+172
 2.51591014e+03
 2.51397324e+03
 2.51503841e+03
 2.51650537e+03
 2.51603069e+03
 2.51539563e+03
 2.51492929e+03
 2.51504363e+03
 2.51633254e+03
 6.34035507e+30
 4.35286572e+16
 2.62537254e+40
 4.52908752e+26
 1.36453126e+14
 2.99121115e+17
 1.66730497e+60
 1.16734134e+30
 1.34730344e+14
 1.25467413e+29
 2.51404659e+03
 2.51332284e+03
 3.55218605e+33
 5.63497085e+22
 5.15589448e+28
 7.90040945e+25
 9.37427209e+28
 1.87642911e+31
 2.31989200e+32
 1.27773313e+33
 8.56351246e+33
 2.24003353e+34
 4.39685849e+34
 2.74465988e+35
 1.71968509e+34
 2.26235582e+33
 1.11126268e+33
 1.10629210e+35
 2.53717268e+36
 7.18610981e+34
 2.87337080e+35
 9.04958626e+36
 2.13453851e+37
 2.86763575e+33
 1.25699155e+112
 2.51688024e+03
 6.48510213e+213
 1.61061825e+34
 7.70230969e+79
 2.51612077e+03
 2.51580578e+03
 2.51496011e+03
 2.51487870e+03
 2.51571682e+03
 2.51746477e+03
 2.51808483e+03
 2.51633599e+03
 2.51506233e+03
 2.51563966e+03
 2.51593607e+03
 2.51561835e+03
 2.51506231e+03
 2.51446585e+03
 2.51494719e+03
 2.51487079e+03
 2.51497302e+03
 2.51525049e+03
 2.51465280e+03
 2.51533520e+03
 2.51665721e+03
 2.51570434e+03
 2.51534674e+03
 2.51698664e+03
 2.51673387e+03
 2.51465749e+03
 2.51481840e+03
 2.51458365e+03
 2.51366770e+03
 2.51394526e+03
 2.51391780e+03
 2.51337035e+03
 2.51327444e+03
 2.51335956e+03
 2.51414013e+03
 2.51426271e+03
 2.51374474e+03
 2.51359304e+03
 2.51339315e+03
 2.51330795e+03
 2.51355284e+03
 2.51467627e+03
 2.51632913e+03
 2.51693729e+03
 2.51702184e+03
 2.51528980e+03
 2.51478427e+03
 2.51436393e+03
 2.51396828e+03
 2.51502526e+03
 2.51455871e+03
 2.51428849e+03
 2.51484093e+03
 2.51368919e+03
 2.51328860e+03
 2.51328213e+03
 Inf
 2.51329268e+03
 2.51336912e+03
 2.51389416e+03
 2.51475506e+03
 2.51548640e+03
 2.51583009e+03
 2.51530392e+03
 2.51415313e+03
 2.51364678e+03
 2.51369044e+03
 2.51360208e+03
 2.51361123e+03
 2.51372317e+03
 2.51438059e+03
 2.51469047e+03
 2.51401886e+03
 2.51352422e+03
 2.51408371e+03
 2.51498865e+03
 2.51397825e+03
 2.51456323e+03
 2.51799764e+03
 2.51938854e+03
 2.51735145e+03
 2.51566739e+03
 2.51561022e+03
 2.51532098e+03
 2.51419844e+03
 2.51362290e+03
 2.51329666e+03
 2.51327548e+03
 2.51346031e+03
 2.51474538e+03
 2.51495775e+03
 2.51416435e+03
 2.51372584e+03
 2.51336790e+03
 2.51336842e+03
 2.51351633e+03
 2.51375159e+03
 2.51370992e+03
 2.51381834e+03
 2.51373119e+03
 2.51345945e+03
 2.51367648e+03
 2.51434327e+03
 2.51442723e+03
 2.51387860e+03
 2.51430858e+03
 2.51545395e+03
 2.51466448e+03
 2.51372184e+03
 2.51378936e+03
 2.51456326e+03
 2.51364799e+03
 2.51366761e+03
 2.51472854e+03
 2.51373254e+03
 2.51328908e+03
 Inf
 1.51673660e+234
 2.57008957e+176
 6.74970672e+127
 9.32563522e+93
 4.16962803e+125
 3.60923159e+120
 4.82533843e+115
 1.21781096e+183
 1.22755546e+142
 3.70893679e+187
 Inf
 Inf
 Inf
 3.98119206e+173
 3.05473695e+115
 7.19039212e+235
 3.47078833e+261
 2.61906575e+133
 3.11257432e+130
 1.49627905e+104
 1.84959102e+106
 3.08614766e+130
 1.56318353e+148
 1.06524643e+204
 1.61925767e+189
 7.63190500e+200
 2.59312154e+226
 Inf
 2.51337534e+03
 2.51346463e+03
 Inf
 2.50475922e+95
 3.69197609e+178
 2.51327640e+03
 2.73965494e+193
 1.48316583e+141
 3.71183996e+167
 2.14561913e+143
 3.25514084e+293
 2.51327869e+03
 2.51335218e+03
 2.51376682e+03
 2.51355283e+03
 2.51329696e+03
 2.51338772e+03
 2.51333941e+03
 2.51327520e+03
 Inf
 4.24633808e+112
 1.36875183e+97
 1.88468369e+114
 1.61296635e+172
 Inf
 1.48332460e+161
 3.64613713e+192
 Inf
 2.17484588e+233
 4.12896514e+207
 Inf
 Inf
 1.07374623e+221
 Inf
 2.51329911e+03
 2.51334250e+03
 2.51339178e+03
 2.51337283e+03
 2.51339383e+03
 2.51330615e+03
 2.51328323e+03
 2.51333941e+03
 2.51328720e+03
 2.51331288e+03
 2.51329607e+03
 2.51327768e+03
 Inf
 Inf
 2.51360780e+03
 2.51354863e+03
 1.21300193e+180
 1.83609846e+140
 2.08080194e+300
 1.49614257e+215
 4.14931101e+106
 1.31725258e+269
 2.51341313e+03
 Inf
 Inf
 2.51337221e+03
 Inf
 Inf
 2.87167480e+165
 2.09720850e+141
 Inf
 2.51327650e+03
 2.51352026e+03
 2.51335611e+03
 Inf
 2.51347786e+03
 2.51372184e+03
 2.51329241e+03
 2.51359980e+03
 2.51385111e+03
 2.51332240e+03
 2.51351632e+03
 2.51372184e+03
 2.51331171e+03
 2.51347429e+03
 2.51370732e+03
 2.51339591e+03
 2.51357641e+03
 2.51343786e+03
 Inf
 Inf
 1.60507246e+294
 1.04138920e+96
 7.68308039e+136
 3.69127618e+200
 1.02996090e+120
 2.90946517e+137
 2.82260988e+110
 2.90746787e+122
 Inf
 2.51367901e+03
 2.51393880e+03
 2.51375433e+03
 2.51327419e+03
 Inf
 2.51327998e+03
 2.51328093e+03
 2.51331249e+03
 2.51335107e+03
 2.51327690e+03
 7.58135000e+292
 Inf
 2.51337725e+03
 2.51330615e+03
 2.51340726e+03
 2.51490632e+03
 2.51692573e+03
 2.51410351e+03
 2.51416595e+03
 2.51621544e+03
 2.51663571e+03
 2.51682392e+03
 2.51650883e+03
 2.51540432e+03
 2.51407658e+03
 2.51348329e+03
 Inf
 Inf
 2.51328860e+03
 2.51327432e+03
 Inf
 Inf
 Inf
 1.08029733e+287
 Inf
 2.51363355e+03
 2.51427055e+03
 2.51392907e+03
 2.51364194e+03
 2.51363603e+03
 2.51375296e+03
 2.51437641e+03
 2.51597180e+03
 2.51727176e+03
 2.51748169e+03
 2.51805399e+03
 2.51562752e+03
 2.51478426e+03
 2.51590358e+03
 2.51568560e+03
 2.51560633e+03
 2.51538117e+03
 2.51728751e+03
 2.51772144e+03
 2.51607394e+03
 2.51673793e+03
 2.51689940e+03
 2.51579197e+03
 2.51489873e+03
 2.51407124e+03
 2.51383016e+03
 2.51470465e+03
 2.51803229e+03
 2.52017943e+03
 2.51917315e+03
 2.52179461e+03
 2.52066747e+03
 2.51929500e+03
 2.52023102e+03
 2.52064156e+03
 2.51970152e+03
 2.51725178e+03
 2.51594252e+03
 2.51741592e+03
 2.51958133e+03
 2.51709075e+03
 2.51639563e+03
 2.51714532e+03
 2.51657348e+03
 2.51630143e+03
 2.51614098e+03
 2.51672329e+03
 2.51556991e+03
 2.51429650e+03
 2.51370341e+03
 2.51347518e+03
 2.51375433e+03
 2.51388326e+03
 2.51409809e+03
 2.51401371e+03
 2.51360665e+03
 2.51331526e+03
 2.51352124e+03
 2.51500952e+03
 2.51545706e+03
 2.51462493e+03
 2.51407836e+03
 2.51381982e+03
 2.51422151e+03
 2.51385260e+03
 2.51413827e+03
 2.51474538e+03
 2.51374610e+03
 2.51407299e+03
 2.51498603e+03
 2.51595878e+03
 2.51848954e+03
 2.51722780e+03
 2.51650182e+03
 2.51692168e+03
 2.51560318e+03
 2.51627704e+03
 2.51633332e+03
 2.51442069e+03
 2.51399000e+03
 2.51458365e+03
 2.51464138e+03
 2.51456551e+03
 2.51532952e+03
 2.51648394e+03
 2.51553686e+03
 2.51412539e+03
 2.51339591e+03
 2.51340507e+03
 2.51378371e+03
 2.51364920e+03
 2.51348602e+03
 2.51388791e+03
 2.51497305e+03
 2.51506272e+03
 2.51456326e+03
 2.51412539e+03
 2.51557896e+03
 2.51536359e+03
 2.51449642e+03
 2.51512394e+03
 2.51562454e+03
 2.51528693e+03
 2.51438059e+03
 2.51343546e+03
 Inf
 2.51329849e+03
 2.51332825e+03
 2.51331689e+03
 Inf
 7.59898088e+168
 Inf
 Inf
 7.40052296e+147
 Inf
 2.51335898e+03
 Inf
 9.02739188e+208
 3.63365397e+180
 Inf
 2.51396497e+03
 2.51387236e+03
 2.51388321e+03
 2.51480137e+03
 2.51416059e+03
 2.51331210e+03
 Inf
 4.07506830e+227
 2.51327830e+03
 2.51355074e+03
 2.51359418e+03
 Inf
 2.51351730e+03
 2.51536102e+03
 2.51366272e+03
 Inf
 Inf
 Inf
 2.51335554e+03
 2.51338308e+03
 2.51353833e+03
 2.51375022e+03
 2.51330474e+03
 Inf
 2.51464581e+03
 2.52089708e+03
 2.51996969e+03
 2.51752602e+03
 2.51706018e+03
 2.51518946e+03
 2.51367396e+03
 2.51368640e+03
 Inf
 Inf
 2.51331939e+03
 2.51329911e+03
 2.51329726e+03
 2.51327998e+03
 2.51471657e+03
 2.51701365e+03
 2.51628727e+03
 2.51727552e+03
 2.51601435e+03
 2.51474539e+03
 2.51492912e+03
 2.51587469e+03
 2.51764580e+03
 2.51635334e+03
 2.51420036e+03
 2.51341912e+03
 2.51333492e+03
 2.51360436e+03
 2.51403267e+03
 Inf
 Inf
 2.51336548e+03
 Inf
 2.51374747e+03
 2.51528703e+03
 2.51511016e+03
 2.51412906e+03
 2.51338638e+03
 2.51329636e+03
 Inf
 2.51334512e+03
 2.51331526e+03
 Inf
 Inf
 2.51334459e+03
 2.51341913e+03
 2.51360665e+03
 2.51328957e+03
 4.18572237e+216
 3.05672628e+189
 1.23921101e+169
 3.04481159e+260
 Inf
 2.51329083e+03
 Inf
 2.41714325e+256
 Inf
 Inf
 2.18594833e+300
 5.42474637e+301
 Inf
 Inf
 3.73491719e+161
 Inf
 2.51339940e+03
 Inf
 Inf
 1.60328689e+148
 5.78008105e+111
 2.43858854e+159
 3.14490118e+186
 2.85014807e+128
 3.78131038e+114
 1.89736306e+157
 2.51328231e+03
 2.51344684e+03
 Inf
 3.96691608e+153
 Inf
 2.51337534e+03
 2.51331248e+03
 2.51390675e+03
 2.51525051e+03
 2.51386629e+03
 2.51362173e+03
 2.51385109e+03
 2.51327490e+03
 1.27479136e+116
 8.44880883e+97
 Inf
 Inf
 Inf
 2.51372450e+03
 2.51440164e+03
 2.51405006e+03
 2.50292666e+03
 2.51427848e+03
 2.51386477e+03
 2.51336973e+03
 2.51343149e+03
 Inf
 3.81349487e+160
 Inf
 3.46200226e+293
 1.85442096e+140
 1.96922087e+223
 2.93524094e+92
 4.30318733e+93
 2.40066627e+125
 2.96086212e+126
 8.30463736e+134
 4.19875006e+130
 4.75979906e+114
 3.71576842e+96
 2.93046297e+126
 2.94790135e+157
 4.95758781e+147
 Inf
 2.51369176e+03
 2.51343626e+03
 2.51413089e+03
 2.51506499e+03
 2.51390517e+03
 2.51364194e+03
 2.51365405e+03
 2.51439318e+03
 2.51413640e+03
 2.51381835e+03
 2.51382400e+03
 2.51390517e+03
 2.51388633e+03
 2.51374066e+03
 2.51336548e+03
 Inf
 2.51329083e+03
 2.51352922e+03
 2.51330795e+03
 Inf
 2.51335052e+03
 2.51401032e+03
 2.51527575e+03
 2.51627380e+03
 2.51421765e+03
 2.51331772e+03
 2.51350377e+03
 2.51333059e+03
 2.51353629e+03
 2.51432077e+03
 2.51410710e+03
 2.51372450e+03
 2.51341313e+03
 2.51454974e+03
 2.51481630e+03
 2.51350952e+03
 2.51329406e+03
 2.51335611e+03
 2.51460193e+03
 2.51623261e+03
 2.51560307e+03
 2.51392267e+03
 Inf
 1.60369852e+277
 2.51337158e+03
 2.51441432e+03
 2.51465294e+03
 2.51430253e+03
 2.51483346e+03
 2.51411259e+03
 2.51354347e+03
 2.51341165e+03
 2.51376961e+03
 2.51358855e+03
 Inf
 2.51327479e+03
 2.51375572e+03
 2.51358300e+03
 2.51342140e+03
 2.51365778e+03
 2.51327925e+03
 2.51328587e+03
 2.51435357e+03
 2.51432187e+03
 Inf
 6.66063518e+139
 7.09824849e+123
 1.18588649e+128
 6.68804415e+127
 Inf
 2.51329491e+03
 7.71396237e+152
 4.22427999e+109
 8.56901446e+207
 Inf
 8.72636051e+150
 4.06875114e+229
 Inf
 Inf
 2.51332067e+03
 2.51329241e+03
 2.51350664e+03
 2.51483597e+03
 2.51630141e+03
 2.51542169e+03
 2.51359303e+03
 2.51333492e+03
 2.51347518e+03
 2.51333492e+03
 Inf
 1.24506909e+171
 3.19360425e+166
 Inf
 2.51342370e+03
 2.51343469e+03
 2.51368919e+03
 2.51416061e+03
 2.51374474e+03
 2.51331939e+03
 2.51341912e+03
 2.51330071e+03
 2.22559905e+233
 Inf
 2.09971903e+190
 2.27195349e+122
 3.80468271e+234
 Inf
 2.25328453e+156
 2.11825620e+99
 6.73847123e+107
 2.23548971e+167
 Inf
 Inf
 1.88662258e+274
 2.27512210e+204
 Inf
 7.96461196e+149
 3.27454469e+139
 7.83634136e+219
 1.72059396e+134
 1.20370243e+109
 4.84884777e+113
 1.58120465e+132
 3.80514587e+122
 3.71520580e+194
 2.51328231e+03
 Inf
 1.62134012e+148
 4.51763736e+89
 1.19214941e+96
 3.45189231e+110
 1.48263382e+110
 1.68570130e+134
 9.30665143e+162
 1.05560912e+117
 4.17762651e+130
 9.45129786e+159
 1.72097792e+158
 3.63776232e+145
 3.59524385e+124
 1.39918693e+101
 4.40918234e+117
 3.34418853e+169
 4.69484408e+120
 4.19704114e+109
 8.79780860e+153
 Inf
 2.51390045e+03
 Inf
 2.37975392e+148
 5.54556852e+195
 6.76578615e+127
 1.65613028e+107
 3.14891559e+123
 1.06042721e+148
 1.05304837e+117
 7.34903807e+152
 1.14055529e+180
 2.45387741e+125
 Inf
 2.51328908e+03
 Inf
 2.51331566e+03
 2.51365902e+03
 2.51450966e+03
 2.51444399e+03
 2.51444014e+03
 2.51523652e+03
 2.51448544e+03
 2.51389887e+03
 2.51560621e+03
 2.51691817e+03
 2.51640934e+03
 2.51751365e+03
 2.51754458e+03
 2.51637440e+03
 2.51697885e+03
 2.51796317e+03
 2.51668643e+03
 2.51563367e+03
 2.51526175e+03
 2.51519788e+03
 2.51634645e+03
 2.51666843e+03
 2.51489111e+03
 2.51501183e+03
 2.51646611e+03
 2.51553086e+03
 2.51493954e+03
 2.51568890e+03
 2.51570104e+03
 2.51525047e+03
 2.51585225e+03
 2.51549220e+03
 2.51608725e+03
 2.51738778e+03
 2.51839474e+03
 2.51881256e+03
 2.51742003e+03
 2.51836291e+03
 2.51953647e+03
 2.51737157e+03
 2.51581733e+03
 2.51572365e+03
 2.51586824e+03
 2.51527571e+03
 2.51582675e+03
 2.51691806e+03
 2.51430859e+03
 2.51340223e+03
 2.51334619e+03
 2.51341462e+03
 2.51353123e+03
 2.51349062e+03
 2.51351829e+03
 2.51358301e+03
 2.51365655e+03
 2.51346376e+03
 2.51406592e+03
 2.51568587e+03
 2.51588161e+03
 2.51627718e+03
 2.51618458e+03
 2.51583317e+03
 2.51495237e+03
 2.51337789e+03
 2.51332328e+03
 2.51428447e+03
 2.51598491e+03
 2.51696008e+03
 2.51566117e+03
 2.51448985e+03
 2.51456531e+03
 2.51436807e+03
 2.51349903e+03
 2.51354552e+03
 2.51401031e+03
 2.51409995e+03
 2.51379944e+03
 2.51419271e+03
 2.51398493e+03
 2.51333690e+03
 Inf
 Inf
 1.12966608e+155
 9.36621074e+93
 6.07355618e+70
 3.45536098e+99
 2.32420899e+146
 1.35211516e+154
 2.51349621e+03
 2.51424688e+03
 2.51374610e+03
 2.51398997e+03
 2.51371125e+03
 2.51365166e+03
 2.51429851e+03
 2.51386476e+03
 2.51343466e+03
 2.51350663e+03
 2.51359303e+03
 Inf
 Inf
 2.80523558e+235
 Inf
 2.51421380e+03
 2.51408536e+03
 2.51327669e+03
 Inf
 Inf
 Inf
 2.51330169e+03
 2.51337096e+03
 2.51361125e+03
 2.51401716e+03
 2.51342757e+03
 2.51334672e+03
 2.51332240e+03
 2.51337096e+03
 2.51392748e+03
 2.51452519e+03
 2.51368535e+03
 Inf
 2.51327595e+03
 Inf
 1.83866185e+231
 1.60430722e+164
 7.09400555e+84
 2.11249266e+112
 2.11521178e+143
 1.28580566e+126
 Inf
 8.78785576e+131
 3.94710434e+95
 Inf
 2.51341165e+03
 2.51332067e+03
 Inf
 7.68173543e+256
 5.19559822e+118
 2.45562010e+86
 3.78995547e+98
 4.63745399e+104
 5.37259982e+123
 1.25520623e+106
 2.72418676e+98
 9.16626759e+162
 1.01605829e+261
 1.05610884e+226
 2.37488433e+160
 2.04054041e+181
 Inf
 2.51329491e+03
 2.51334354e+03
 2.51358856e+03
 2.51360555e+03
 2.51331406e+03
 2.51335840e+03
 2.51417753e+03
 2.51368027e+03
 2.51337853e+03
 2.51349527e+03
 2.51363833e+03
 2.51346376e+03
 2.51330795e+03
 2.51353833e+03
 2.51414013e+03
 2.51357860e+03
 2.51327414e+03
 2.51337035e+03
 2.51374747e+03
 2.51396499e+03
 2.51360208e+03
 2.51365041e+03
 2.51334250e+03
 Inf
 Inf
 1.64091561e+127
 6.73255449e+128
 Inf
 2.51327563e+03
 Inf
 Inf
 2.51378940e+03
 2.51425081e+03
 2.51501740e+03
 2.51517863e+03
 2.51459963e+03
 2.51469980e+03
 2.51493696e+03
 2.51370210e+03
 Inf
 2.51375986e+03
 2.51499127e+03
 2.51409087e+03
 2.51393881e+03
 2.51444207e+03
 2.50209795e+03
 2.51350568e+03
 2.51327413e+03
 Inf
 2.64343158e+133
 1.39594598e+131
 Inf
 2.51353325e+03
 2.51359193e+03
 8.24922322e+109
 1.69014444e+78
 2.46152727e+164
 Inf
 Inf
 2.51346117e+03
 2.51364194e+03
 2.51370081e+03
 2.51404134e+03
 2.51357641e+03
 Inf
 7.24069405e+92
 1.01639933e+80
 3.88264912e+177
 Inf
 2.51327830e+03
 2.51328143e+03
 2.51327415e+03
 2.51349715e+03
 2.51419082e+03
 2.51408364e+03
 2.51329757e+03
 Inf
 2.51336729e+03
 2.51414013e+03
 2.51418725e+03
 2.51330509e+03
 2.51371125e+03
 2.51518123e+03
 2.51458588e+03
 2.51403093e+03
 2.51336608e+03
 Inf
 Inf
 6.53557387e+180
 6.24620182e+280
 8.65259630e+196
 6.53425483e+158
 Inf
 Inf
 Inf
 Inf
 2.51342140e+03
 2.51422541e+03
 2.51402055e+03
 2.51397162e+03
 2.51377664e+03
 2.51420035e+03
 2.51335783e+03
 2.51327415e+03
 2.51478910e+03
 2.51434113e+03
 2.51350187e+03
 2.51338506e+03
 2.51352921e+03
 Inf
 1.28389969e+83
 2.71921898e+106
 5.52914703e+125
 6.75167982e+78
 1.20413551e+57
 7.73448191e+74
 2.69706460e+165
 2.69351550e+191
 1.63441989e+129
 9.90155078e+96
 2.54137729e+155
 5.75748493e+171
 8.68936629e+131
 Inf
 2.51338839e+03
 2.51344192e+03
 2.51331566e+03
 Inf
 2.25539545e+156
 9.31763361e+123
 1.47834771e+109
 1.00751668e+91
 2.43692839e+86
 2.13376295e+121
 1.07420251e+199
 8.72759612e+298
 2.03180360e+244
 2.61597519e+133
 1.22092412e+105
 1.05279625e+148
 5.43645216e+123
 Inf
 2.51331982e+03
 2.51337346e+03
 2.51456100e+03
 2.51517856e+03
 2.51500680e+03
 2.51396167e+03
 2.51354762e+03
 2.51361355e+03
 2.51331446e+03
 2.51327650e+03
 2.51334459e+03
 Inf
 Inf
 2.51331486e+03
 2.51367396e+03
 2.51347251e+03
 2.51334146e+03
 Inf
 Inf
 2.51352721e+03
 2.51551009e+03
 2.51686150e+03
 2.51608385e+03
 2.51546279e+03
 2.51475263e+03
 2.51452521e+03
 2.51456317e+03
 2.51357532e+03
 2.51337789e+03
 2.51526447e+03
 2.51750160e+03
 2.51715649e+03
 2.51538116e+03
 2.51439740e+03
 2.50108330e+03
 2.51413643e+03
 2.51390360e+03
 2.51429247e+03
 2.51437231e+03
 2.51362055e+03
 2.51376124e+03
 2.51373118e+03
 2.51333640e+03
 2.51331897e+03
 2.51371389e+03
 2.51347786e+03
 2.51329268e+03
 7.06439531e+265
 1.12634269e+112
 1.29937754e+144
 7.35968089e+190
 Inf
 Inf
 Inf
 Inf
 1.36847733e+285
 1.52540191e+118
 2.36252378e+93
 2.25529074e+147
 1.04322338e+242
 Inf
 2.51329214e+03
 2.51327650e+03
 6.05981139e+186
 2.26742384e+97
 3.78556307e+190
 6.42924687e+226
 1.05290070e+282
 2.51369950e+03
 2.51413831e+03
 2.51391308e+03
 2.51375296e+03
 2.51354141e+03
 2.51327578e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.51330832e+03
 Inf
 2.51361356e+03
 2.51470467e+03
 2.51392586e+03
 2.51377948e+03
 2.51389729e+03
 2.51380232e+03
 2.51471180e+03
 2.51594251e+03
 2.51451406e+03
 2.51425476e+03
 2.51371918e+03
 2.51332417e+03
 2.51394854e+03
 2.51376262e+03
 2.51331526e+03
 2.51349155e+03
 2.51431671e+03
 2.51460659e+03
 2.51402230e+03
 2.51356024e+03
 3.77022122e+291
 3.47955148e+222
 Inf
 Inf
 2.51330544e+03
 2.51392427e+03
 2.51365409e+03
 2.51343070e+03
 2.51327420e+03
 4.32421002e+209
 1.09112716e+248
 Inf
 1.35901307e+285
 Inf
 5.67980312e+233
 Inf
 Inf
 4.37562279e+108
 3.21325511e+90
 9.70833004e+87
 3.31961294e+84
 6.02892037e+86
 2.13486456e+92
 1.16307692e+87
 2.87745590e+122
 1.34271379e+154
 1.95304189e+166
 Inf
 1.02420683e+228
 1.11001817e+196
 1.13880392e+218
 2.44016883e+243
 1.25232038e+183
 1.93204372e+174
 2.73930037e+185
 2.51871352e+145
 Inf
 2.51346899e+03
 2.51359868e+03
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.09997923e+301
 8.06029998e+219
 2.11405987e+211
 5.52098436e+264
 Inf
 Inf
 1.13461224e+158
 Inf
 Inf
 1.98604960e+89
 2.85210330e+78
 2.65636334e+72
 3.54786570e+85
 9.35098074e+114
 4.38765744e+87
 3.35616595e+100
 9.60965289e+125
 3.20380431e+105
 1.29580227e+144
 1.57668459e+159
 7.13773494e+157
 9.62145929e+151
 7.38467657e+125
 8.91720376e+209
 1.75426627e+216
 4.09381577e+183
 5.96527699e+221
 1.51119433e+163
 3.66088547e+140
 8.63974310e+131
 3.81259585e+150
 9.21242934e+185
 6.88008743e+182
 6.63217953e+173
 3.65866756e+179
 4.22277387e+225
 1.18329681e+224
 1.09255964e+190
 1.50367375e+160
 2.15818040e+112
 7.89700911e+86
 6.52885507e+110
 4.05994818e+209
 4.32854446e+196
 3.14563474e+130
 1.03527324e+143
 1.59792781e+189
 Inf
 Inf
 1.28504262e+99
 3.16816452e+104
 Inf
 2.51382867e+03
 Inf
 1.94172804e+220
 1.98158782e+288
 Inf
 2.51327444e+03
 Inf
 2.01858724e+210
 5.91756739e+162
 Inf
 2.51374611e+03
 2.51332328e+03
 Inf
 7.80576919e+176
 9.65485479e+151
 Inf
 9.37078267e+216
 Inf
 Inf
 Inf
 2.51336428e+03
 2.51353834e+03
 2.51384959e+03
 2.51340945e+03
 2.51328401e+03
 2.51355811e+03
 Inf
 1.77539901e+240
 2.51330440e+03
 Inf
 4.96127350e+133
 1.57523459e+227
 2.51330723e+03
 2.51328014e+03
 7.95119125e+176
 1.10170678e+149
 Inf
 Inf
 2.51327612e+03
 Inf
 9.61071224e+169
 1.87448497e+106
 3.70181950e+111
 6.00479888e+155
 Inf
 2.51342602e+03
 6.43847840e+167
 7.96533821e+86
 5.79685455e+101
 3.42417165e+131
 1.47612700e+185
 8.53188005e+166
 2.46462691e+118
 1.81785792e+109
 7.37001910e+132
 6.89097099e+187
 2.93271801e+238
 8.44496951e+134
 6.07530123e+96
 2.70028960e+124
 7.19149863e+170
 6.96446751e+187
 3.20203096e+123
 9.52870438e+94
 2.25366998e+110
 2.35769446e+163
 1.56063659e+170
 2.37401679e+252
 1.80708603e+298
 7.30248778e+254
 Inf
 7.40172055e+294
 5.92365508e+160
 1.24522830e+134
 2.83760749e+151
 8.95279885e+111
 4.17036868e+130
 2.36706823e+278
 Inf
 9.54130110e+162
 3.35757537e+112
 2.82618482e+127
 1.00893514e+212
 Inf
 Inf
 Inf
 3.26545564e+166
 2.75034224e+124
 4.07617550e+164
 1.06541427e+238
 3.16268421e+284
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.48102224e+299
 7.15965526e+192
 2.10462921e+211
 1.55645355e+308
 Inf
 Inf
 2.51332153e+03
 2.51362172e+03
 Inf
 8.62408563e+118
 1.68910303e+126
 9.27259647e+169
 3.96863027e+95
 1.39287104e+69
 2.01931673e+72
 4.45079273e+92
 9.71063426e+100
 1.11538100e+83
 1.64954177e+76
 4.86402168e+90
 8.12547989e+100
 1.00262794e+102
 1.24735868e+106
 2.95079872e+84
 2.57588342e+70
 3.47414377e+66
 7.83962967e+72
 3.85947064e+77
 1.09812090e+78
 4.83417544e+78
 1.60968566e+67
 7.58008571e+62
 1.26031232e+75
 4.22663206e+84
 1.01788434e+77
 6.09714240e+76
 1.49686527e+73
 8.61969049e+72
 2.63329673e+71
 1.27224107e+64
 9.01004615e+71
 2.59817950e+97
 1.41060721e+123
 1.90594435e+97
 1.58745735e+79
 6.76793632e+100
 2.78115685e+121
 8.17478571e+144
 2.36113925e+146
 1.10819928e+155
 Inf
 7.94954277e+136
 1.71129784e+158
 2.31156857e+162
 1.24519799e+104
 1.01412523e+268
 1.15990474e+180
 8.27633775e+110
 7.37076939e+296
 1.18122147e+150
 3.31071955e+83
 2.51327631e+03
 2.51352622e+03
 5.11084154e+240
 2.51334833e+03
 2.51327669e+03
 3.89487712e+79
 4.28216538e+143
 2.18589877e+199
 7.11541861e+84
 9.95968234e+101
 2.93757723e+126
 4.27375248e+108
 1.02224307e+85
 8.93198713e+77
 4.99630402e+73
 7.61316936e+85
 2.83634585e+95
 7.59235944e+80
 8.22655952e+122
 1.04732488e+117
 1.98872831e+80
 1.01851909e+92
 1.19227451e+114
 2.66519415e+112
 2.14575462e+117
 1.83636662e+110
 3.81419249e+73
 1.58714456e+168
 Inf
 4.77188054e+211
 1.35703276e+198
 1.30310966e+140
 2.87865676e+95
 2.87628028e+73
 2.06197708e+78
 3.77418192e+98
 4.93074535e+88
 2.91570122e+69
 4.14882841e+81
 2.90581316e+126
 1.87397238e+192
 3.94400673e+129
 1.26171477e+99
 8.39880166e+81
 1.82233038e+76
 2.95432621e+102
 1.89558833e+97
 6.78589418e+80
 1.37800960e+101
 1.05687541e+125
 2.96296059e+84
 1.24934585e+73
 2.87602756e+83
 1.86963785e+74
 5.08665965e+66
 1.80855790e+76
 1.02528561e+90
 1.01654326e+85
 1.98002499e+73
 8.88582875e+77
 1.10591979e+83
 3.94925918e+103
 2.26122935e+110
 1.27765457e+88
 5.12068734e+89
 2.88165500e+122
 1.23428936e+134
 4.38829285e+96
 3.39311748e+101
 4.79999934e+103
 2.99147607e+102
 2.81536494e+127
 6.10925985e+115
 1.52457170e+106
 9.63191674e+125
 4.03583300e+116
 4.82111132e+100
 1.24080078e+108
 8.70867981e+95
 2.98321249e+102
 5.51467675e+169
 2.16407899e+178
 1.56521717e+170
 3.38727338e+147
 2.15383466e+112
 6.95559198e+105
 9.03513694e+106
 7.66960311e+83
 3.81977356e+72
 1.26656530e+79
 1.83479190e+92
 6.00649995e+96
 1.09112040e+72
 4.49563893e+60
 2.19729559e+72
 6.45733576e+90
 1.12609627e+86
 1.92797244e+96
 4.98688002e+87
 2.91479732e+69
 8.72870396e+73
 2.73986353e+80
 1.18737093e+81
 6.01961157e+86
 4.32927490e+96
 8.98858009e+89
 1.76902166e+95
 3.33581367e+95
 8.02241559e+112
 Inf
 Inf
 1.47220718e+156
 1.35478844e+91
 1.49653213e+81
 3.63803357e+74
 3.77180044e+73
 1.86789076e+86
 1.08689199e+69
 1.51124075e+58
 1.41732130e+71
 3.29126612e+74
 2.21505495e+72
 1.06600959e+94
 2.34627195e+93
 3.63201981e+70
 5.35857710e+78
 1.87662119e+97
 1.38826562e+101
 6.15962871e+228
 6.07822123e+141
 8.94674608e+91
 1.19002937e+129
 9.06019531e+84
 1.44962857e+88
 1.18750992e+129
 1.94395892e+111
 5.16372309e+109
 4.03434481e+100
 5.31925028e+83
 2.23914448e+87
 2.35838563e+81
 1.67221005e+85
 5.99210236e+97
 1.47547842e+280
 7.57362047e+283
 3.22137000e+85
 5.46866338e+107
 2.97785944e+135
 2.14479077e+178
 1.63096189e+146
 3.49881075e+110
 2.89397062e+92
 1.42662796e+57
 1.69940391e+63
 1.53457759e+103
 4.00757287e+116
 2.63308977e+105
 8.16948499e+100
 4.50818349e+92
 6.17954889e+84
 1.19055401e+127
 4.24175945e+151
 1.06968347e+82
 7.47132225e+66
 3.46747511e+77
 6.01685594e+92
 3.69594021e+93
 2.40845907e+90
 1.16224579e+87
 1.65206744e+101
 2.54869292e+133
 5.42639761e+95
 5.33795689e+98
 1.46579911e+143
 1.03514114e+131
 1.65492971e+98
 3.18042231e+78
 9.19610754e+78
 6.87758011e+82
 1.88070659e+97
 4.65833779e+121
 1.20028960e+109
 8.80938414e+82
 1.17123052e+100
 3.07523778e+154
 1.03531798e+226
 1.92597400e+207
 2.12271271e+137
 2.51724348e+116
 5.32929157e+110
 6.14092492e+124
 1.13042019e+181
 2.31496466e+147
 7.00871619e+105
 4.19143271e+125
 7.03051918e+101
 1.42658934e+79
 1.64528724e+101
 1.49642852e+115
 4.34398639e+97
 2.80933777e+127
 8.41352232e+175
 2.35902233e+160
 2.46223996e+118
 2.73319840e+98
 1.00846178e+111
 2.80537228e+128
 1.00627809e+105
 6.93613413e+94
 1.45508369e+88
 3.02161333e+82
 1.58288204e+84
 5.11204568e+89
 1.76883431e+95
 4.25339362e+90
 2.93694028e+84
 3.32714136e+92
 2.12911395e+117
 8.28293577e+104
 4.98598574e+127
 5.34464497e+110
 1.34386423e+91
 6.54245866e+110
 1.19532338e+90
 8.29788806e+99
 2.61942512e+105
 5.18776957e+102
 4.35542277e+96
 5.37578758e+95
 1.81640447e+90
 1.01990243e+77
 1.44410823e+88
 1.87855359e+103
 7.49152012e+102
 2.84227215e+101
 3.70177680e+96
 2.23177137e+89
 6.88237432e+86
 2.55392192e+89
 1.58351328e+79
 3.21644174e+68
 1.73453980e+99
 2.71737180e+117
 7.44029049e+95
 7.83142637e+119
 6.38768193e+109
 1.37563944e+90
 4.11014246e+112
 1.10550044e+107
 7.42009300e+95
 2.53525425e+140
 2.81367808e+121
 1.28083487e+88
 3.69736723e+94
 1.80334041e+109
 1.67093691e+153
 6.88657038e+104
 3.77661171e+84
 1.06078205e+137
 5.25163168e+306
 4.48152571e+134
 3.82464883e+68
 2.60430532e+112
 1.55796734e+227
 1.52779915e+137
 Inf
 Inf
 6.65220970e+158
 Inf
 1.71195007e+245
 1.52239751e+93
 1.94662199e+187
 2.68601603e+250
 7.84017614e+115
 1.56093983e+111
 3.38458337e+100
 8.52288756e+88
 6.37530146e+108
 8.25548685e+134
 5.90085337e+93
 6.06050401e+92
 9.49438683e+92
 2.15254748e+105
 Inf
 7.56789054e+132
 3.10002172e+75
 3.86001801e+208
 Inf
 8.09688971e+135
 Inf
 Inf
 1.41499989e+119
 1.58354966e+189
 6.44783414e+180
 2.19346311e+85
 7.67605878e+232
 1.61850715e+296
 6.03145347e+89
 8.26877861e+188
 2.12042766e+182
 3.43722083e+75
 2.75864454e+110
 2.06713983e+141
 9.56001895e+94
 4.73783252e+119
 3.68492338e+97
 5.95940922e+85
 1.81535024e+125
 7.44197105e+106
 7.49959356e+102
 7.35082061e+132
 4.00349947e+118
 6.08497756e+121
 1.20482805e+114
 6.80306782e+83
 1.67914290e+82
 4.89993847e+88
 3.15366809e+86
 1.24973438e+77
 7.58282564e+91
 3.37029089e+109
 1.52118843e+95
 8.63334757e+83
 3.32092755e+81
 2.42751558e+86
 4.69020171e+83
 1.27307558e+79
 7.11727832e+74
 9.70746977e+67
 1.43912780e+86
 1.76443936e+80
 1.64797951e+86
 6.00394238e+121
 1.08935485e+103
 1.60265101e+129
 2.32763173e+134
 5.59515582e+174
 1.34813393e+198
 9.01449016e+127
 3.89951001e+129
 1.26171766e+99
 6.61146053e+91
 2.11997460e+112
 2.46957506e+113
 1.02893404e+106
 4.80685400e+100
 2.09554131e+90
 3.02397273e+82
 4.83035222e+101
 1.20189982e+142
 3.85716715e+159
 3.80357090e+114
 1.25761914e+111
 7.87805790e+119
 2.79482406e+120
 5.10552237e+118
 3.69484564e+107
 2.23427858e+122
 4.99646574e+106
 2.37696636e+114
 4.04791687e+137
 5.20832628e+126
 3.36449117e+156
 5.03312193e+148
 9.79609968e+109
 8.06583887e+112
 2.03348400e+154
 6.93696621e+187
 2.32410867e+162
 1.92421165e+174
 Inf
 1.36874264e+263
 2.27277277e+204
 7.40978951e+235
 6.55713037e+214
 9.00450752e+153
 2.16634478e+117
 1.16767830e+139
 1.42614795e+237
 9.28645484e+259
 1.35794734e+184
 2.83307398e+121
 4.64884093e+85
 5.69027098e+100
 2.68780362e+144
 4.06467871e+100
 1.81927126e+90
 4.29916081e+93
 1.86134592e+108
 9.71257064e+163
 1.66647852e+107
 2.66007665e+81
 4.44117385e+89
 1.05130107e+99
 1.22793751e+104
 5.67329992e+90
 1.28248687e+89
 1.05894443e+119
 7.32745561e+125
 2.28728455e+147
 1.72876945e+216
 9.95410984e+204
 1.05162622e+230
 1.45883373e+195
 3.39980429e+147
 1.38470021e+167
 1.17383534e+179
 3.80416713e+178
 3.30202384e+174
 7.36117374e+235
 1.17196311e+262
 4.67254451e+139
 2.18926046e+104
 1.11639041e+83
 1.32931902e+82
 2.06388789e+95
 5.81781640e+101
 2.67842532e+96
 1.72804030e+87
 4.65452054e+65
 6.48109745e+64
 1.46077078e+85
 7.28246082e+79
 5.95972305e+83
 4.68843837e+81
 3.15000805e+77
 1.80228491e+90
 1.47988017e+99
 7.87422784e+108
 1.97867925e+87
 2.93323607e+84
 2.76606464e+86
 2.59216645e+84
 3.99592893e+100
 8.34768464e+96
 1.37635076e+92
 6.95950923e+101
 5.70769468e+87
 4.81188299e+84
 6.88157701e+105
 3.00859365e+107
 2.80110798e+110
 8.34105856e+118
 2.42442380e+125
 7.89599505e+109
 3.92762439e+95
 5.01654973e+93
 1.38636926e+101
 1.69538349e+89
 9.09093062e+79
 7.76042380e+109
 1.27834044e+140
 3.39991727e+148
 2.27307635e+173
 2.17253601e+117
 1.29158782e+93
 3.14691139e+116
 2.75803443e+109
 1.52114436e+95
 4.94347533e+99
 7.43021965e+88
 2.01274889e+93
 1.78833319e+104
 3.35133753e+92
 3.34248454e+76
 2.29557788e+78
 3.67205360e+93
 1.01781192e+85
 2.10184516e+81
 1.96919394e+101
 2.15500783e+120
 4.86506434e+113
 4.08285372e+101
 4.00516724e+116
 3.81547730e+115
 1.10875604e+153
 2.76181905e+202
 2.28980067e+119
 5.22870134e+145
 4.01300610e+132
 1.95805850e+98
 1.71319479e+122
 2.46723250e+142
 6.90999798e+126
 4.36824952e+94
 2.19620562e+95
 1.85968684e+133
 1.61838407e+129
 2.80179141e+120
 2.64700553e+158
 1.90716566e+151
 4.05697374e+116
 3.44366495e+131
 8.42692950e+166
 4.78374341e+154
 3.78928649e+128
 1.42336139e+156
 3.83548367e+150
 6.04084735e+120
 6.42323563e+158
 5.22992657e+126
 1.90737613e+97
 1.67535355e+126
 7.83805660e+172
 3.71144317e+160
 Inf
 5.93566062e+160
 2.60539396e+83
 1.31690216e+71
 1.37060084e+56
 2.41678409e+62
 2.77807672e+101
 4.76632776e+133
 1.16932118e+91
 2.77320720e+86
 6.01865276e+106
 9.71224411e+108
 7.12420432e+111
 4.32586511e+102
 5.02186360e+76
 1.70474691e+71
 1.13624046e+79
 2.11718175e+82
 1.24775530e+77
 5.23968644e+110
 1.22590502e+157
 2.49387115e+113
 8.34915837e+118
 4.19515026e+109
 8.88916598e+91
 1.47221143e+110
 2.13498122e+112
 1.28820442e+86
 2.76711690e+90
 3.38456344e+101
 2.80250924e+151
 1.06091476e+238
 1.25396296e+116
 3.41370824e+101
 2.67493849e+168
 1.47783781e+141
 6.53855122e+88
 2.68939708e+124
 1.64301349e+175
 8.46156031e+122
 4.98902041e+148
 3.65060415e+140
 4.35365852e+82
 1.18890614e+127
 3.61011258e+145
 9.08291731e+84
 3.39361574e+131
 7.72565201e+131
 2.87421300e+95
 2.80641868e+127
 1.95233294e+96
 4.25485766e+90
 Inf
 8.98791194e+298
 1.25803722e+116
 1.32970852e+303
 3.79146041e+200
 1.36060887e+91
 4.17428448e+210
 2.79545469e+202
 2.08224425e+179
 Inf
 1.36572741e+177
 6.93362306e+100
 Inf
 Inf
 1.23264238e+110
 2.20658302e+255
 1.05241656e+287
 3.83764080e+128
 Inf
 1.30309858e+214
 3.33454418e+20
 5.48773308e+13
 3.87036868e+14
 1.02162312e+14
 1.49871556e+14
 5.09194257e+14
 2.41641039e+14
 1.28165022e+14
 1.27392185e+15
 4.89146940e+14
 3.36286663e+13
 4.65390856e+14
 8.28076744e+13
 6.31782664e+13
 3.09404994e+13
 5.54218345e+13
 8.70516545e+13
 4.18587664e+13
 2.02027422e+13
 2.91145989e+13
 7.84510438e+13
 4.05237182e+13
 9.14738385e+12
 3.52687468e+13
 5.41898486e+13
 1.08195716e+15
 3.94734880e+15
 7.52814682e+14
 4.08801404e+13
 5.17245884e+12
 2.47261312e+13
 3.70562668e+13
 2.48407352e+13
 8.73880475e+12
 6.18552813e+12
 2.72937579e+12
 5.95599767e+12
 2.12759576e+13
 1.39947246e+13
 5.26094473e+12
 3.91809029e+12
 5.97364757e+12
 8.51459535e+12
 2.57412585e+13
 5.35722220e+13
 3.18590291e+13
 2.57056022e+13
 1.97463569e+13
 2.28032430e+13
 3.52041569e+13
 2.52738770e+13
 1.76087823e+13
 2.09312464e+13
 1.60221791e+13
 1.38279266e+13
 1.81246116e+13
 7.27994026e+13
 1.35473133e+13
 8.85008833e+12
 3.33694346e+12
 1.56804738e+12
 2.18005537e+12
 4.43848546e+12
 2.53253322e+12
 5.27832295e+12
 5.47550273e+13
 1.07378084e+14
 2.70805454e+13
 5.93170832e+12
 2.83988431e+12
 1.63367544e+12
 1.46469208e+12
 1.42505846e+12
 4.09372296e+12
 6.79889811e+12
 2.64754609e+12
 1.61351614e+12
 1.70773613e+12
 1.27769924e+12
 9.95211505e+11
 1.38158079e+12
 1.51816881e+12
 2.41712379e+12
 4.47356568e+12
 2.85504763e+12
 1.20116234e+13
 3.45937005e+12
 1.66362692e+12
 1.34325778e+12
 1.93481252e+12
 2.61829736e+12
 1.95600981e+12
 1.79494640e+12
 1.87343333e+12
 1.13621075e+12
 1.53191108e+12
 1.43202961e+12
 8.36025714e+11
 1.11127811e+12
 1.86974342e+12
 2.48405980e+12
 8.42608371e+12
 5.30439143e+13
 1.22658039e+14
 5.45534917e+13
 4.38717180e+13
 1.63590979e+13
 4.88187212e+12
 6.20640390e+12
 1.71017471e+12
 8.08293874e+11
 1.20611029e+12
 1.44427689e+12
 1.29700072e+12
 2.61100545e+12
 9.19326427e+12
 1.97342814e+13
 3.42371067e+13
 3.09833588e+13
 1.32834061e+13
 2.83602135e+12
 9.35581718e+11
 7.16119901e+11
 5.23133288e+11
 3.18638594e+11
 4.36436148e+11
 8.27351421e+11
 1.50862808e+12
 2.53708892e+12
 2.37964507e+12
 2.48299321e+12
 2.28195135e+12
 1.76268137e+12
 2.89409336e+12
 1.93949822e+12
 7.15951692e+11
 2.72325919e+12
 2.78499155e+12
 1.18687165e+12
 4.87419898e+12
 4.90073484e+13
 1.14576505e+14
 5.02308837e+13
 1.04010097e+14
 4.19949132e+14
 1.77418665e+13