Inf
 6.51433090e-06
 6.51477591e-06
 6.51526519e-06
 6.51547272e-06
 6.51605644e-06
 6.51627031e-06
 6.51573534e-06
 6.51532689e-06
 6.51568490e-06
 6.51587972e-06
 6.51538240e-06
 6.51512056e-06
 6.51565830e-06
 6.51563057e-06
 6.51536687e-06
 6.51539616e-06
 6.51578315e-06
 6.51614237e-06
 6.51547411e-06
 6.51489856e-06
 6.51448429e-06
 6.51534432e-06
 6.51763438e-06
 6.52443222e-06
 6.52872884e-06
 6.52444509e-06
 6.52296637e-06
 6.52558387e-06
 6.52704107e-06
 6.52582876e-06
 6.52528286e-06
 6.52580141e-06
 6.52593918e-06
 6.52430189e-06
 6.52314822e-06
 6.52527694e-06
 6.52611712e-06
 6.52350347e-06
 6.52247976e-06
 6.52358340e-06
 6.52327872e-06
 6.52361516e-06
 6.52454522e-06
 6.52535675e-06
 6.52459152e-06
 6.52319925e-06
 6.52535208e-06
 6.52649756e-06
 6.52295172e-06
 6.51884246e-06
 6.51811411e-06
 6.51957907e-06
 6.51928345e-06
 6.51667185e-06
 6.51533444e-06
 6.51508478e-06
 6.51549194e-06
 6.51520112e-06
 6.51478908e-06
 6.51538864e-06
 6.51645942e-06
 6.51617395e-06
 6.51573027e-06
 6.51589788e-06
 6.51614860e-06
 6.51558343e-06
 6.51503681e-06
 6.51489800e-06
 6.51523938e-06
 6.51525214e-06
 6.51564883e-06
 6.51585207e-06
 6.51599640e-06
 6.51699047e-06
 6.51684786e-06
 6.51610869e-06
 6.51568022e-06
 6.51633912e-06
 6.51792226e-06
 6.51823321e-06
 6.51730342e-06
 6.51639220e-06
 6.51594368e-06
 6.51659112e-06
 6.51781552e-06
 6.51779431e-06
 6.51768403e-06
 6.51676947e-06
 6.51680966e-06
 6.51788868e-06
 6.51736422e-06
 6.51698001e-06
 6.51688997e-06
 6.51682465e-06
 6.51748073e-06
 6.51822319e-06
 6.51799966e-06
 6.51696337e-06
 6.51622067e-06
 6.51709768e-06
 6.51800950e-06
 6.51692701e-06
 6.51572725e-06
 6.51519444e-06
 6.51547979e-06
 6.51545241e-06
 6.51506011e-06
 6.51467597e-06
 6.51528529e-06
 6.51577293e-06
 6.51551214e-06
 6.51519104e-06
 6.51518409e-06
 6.51532154e-06
 6.51532143e-06
 6.51631888e-06
 6.51670588e-06
 6.51573567e-06
 6.51539606e-06
 6.51686115e-06
 6.51838544e-06
 6.51792115e-06
 6.51710801e-06
 6.51914159e-06
 6.52784952e-06
 6.52853626e-06
 6.52743886e-06
 6.52796369e-06
 6.52779218e-06
 6.52706893e-06
 6.52331477e-06
 6.52531282e-06
 6.52794707e-06
 6.52444572e-06
 6.52506796e-06
 6.52827648e-06
 6.52799220e-06
 6.52657092e-06
 6.52504224e-06
 6.52625691e-06
 6.52703364e-06
 6.52306271e-06
 6.52129842e-06
 6.52012493e-06
 6.51774667e-06
 6.51709473e-06
 6.51787054e-06
 6.51912737e-06
 6.51892329e-06
 6.51859102e-06
 6.52108720e-06
 6.52395480e-06
 6.52169325e-06
 6.51940533e-06
 6.52041326e-06
 6.52362782e-06
 6.52283702e-06
 6.52062497e-06
 6.52111053e-06
 6.52064809e-06
 6.51906742e-06
 6.51817763e-06
 6.51854851e-06
 6.52179834e-06
 6.52076830e-06
 6.51756740e-06
 6.51749110e-06
 6.51824202e-06
 6.51873203e-06
 6.52124721e-06
 6.52399047e-06
 6.52392612e-06
 6.52398327e-06
 6.52667401e-06
 6.52629896e-06
 6.52529193e-06
 6.52370226e-06
 6.52489812e-06
 6.52909498e-06
 6.52846735e-06
 6.52594569e-06
 6.52674748e-06
 6.52881843e-06
 6.52434465e-06
 6.52379503e-06
 6.52744833e-06
 6.52692688e-06
 6.52678112e-06
 6.53735593e-06
 6.54942922e-06
 6.54847955e-06
 6.53706330e-06
 6.53235782e-06
 6.53517148e-06
 6.53131995e-06
 6.52927978e-06
 6.52947290e-06
 6.53113933e-06
 6.53194073e-06
 6.52732301e-06
 6.52790473e-06
 6.53084401e-06
 6.52919262e-06
 6.52816363e-06
 6.52776532e-06
 6.53108269e-06
 6.52890706e-06
 6.52515119e-06
 6.52682354e-06
 6.52677554e-06
 6.52799437e-06
 6.52317617e-06
 6.51852637e-06
 6.51739943e-06
 6.51659160e-06
 6.51647854e-06
 6.51667820e-06
 6.51613312e-06
 6.51560077e-06
 6.51533360e-06
 6.51524485e-06
 6.51609943e-06
 6.51616480e-06
 6.51544441e-06
 6.51603851e-06
 6.51665220e-06
 6.51603067e-06
 6.51590085e-06
 6.51620487e-06
 6.51665409e-06
 6.51620297e-06
 6.51558641e-06
 6.51663086e-06
 6.51819475e-06
 6.51638016e-06
 6.51661554e-06
 6.52396325e-06
 6.52863785e-06
 6.52501726e-06
 6.52177144e-06
 6.52519100e-06
 6.52770756e-06
 6.52481368e-06
 6.52554595e-06
 6.52720049e-06
 6.52445784e-06
 6.52351405e-06
 6.52570468e-06
 6.52729013e-06
 6.52532258e-06
 6.52405713e-06
 6.52517537e-06
 6.52573242e-06
 6.52681482e-06
 6.52593552e-06
 6.52690721e-06
 6.52763333e-06
 6.52382884e-06
 6.52220890e-06
 6.52458389e-06
 6.52907983e-06
 6.52974527e-06
 6.52875243e-06
 6.52826569e-06
 6.52703801e-06
 6.52552707e-06
 6.52538474e-06
 6.52661923e-06
 6.52798939e-06
 6.52691928e-06
 6.52579310e-06
 6.52768076e-06
 6.52844761e-06
 6.52250264e-06
 6.51964796e-06
 6.52176106e-06
 6.52730787e-06
 6.52703474e-06
 6.52184974e-06
 6.52237943e-06
 6.52510949e-06
 6.52428119e-06
 6.52194226e-06
 6.52380002e-06
 6.52506086e-06
 6.52150437e-06
 6.52027013e-06
 6.52223228e-06
 6.52390896e-06
 6.52374381e-06
 6.52486155e-06
 6.52693579e-06
 6.52526612e-06
 6.52432869e-06
 6.52617774e-06
 6.52674462e-06
 6.52522081e-06
 6.52555671e-06
 6.52610900e-06
 6.52671109e-06
 6.52620316e-06
 6.52654702e-06
 6.52843789e-06
 6.52752838e-06
 6.52512651e-06
 6.52330846e-06
 6.52526846e-06
 6.52976437e-06
 6.52990076e-06
 6.52667555e-06
 6.52687285e-06
 6.52780876e-06
 6.52680630e-06
 6.52516297e-06
 6.52409807e-06
 6.52531318e-06
 6.52459772e-06
 6.52418318e-06
 6.52558886e-06
 6.52607149e-06
 6.52383064e-06
 6.52313888e-06
 6.52546645e-06
 6.52635500e-06
 6.52485645e-06
 6.52253458e-06
 6.52623629e-06
 6.53322657e-06
 6.52793820e-06
 6.52328594e-06
 6.52498522e-06
 6.52542400e-06
 6.52101441e-06
 6.52132828e-06
 6.52468207e-06
 6.52195453e-06
 6.51979950e-06
 6.47455477e-06
 6.52186563e-06
 6.52204930e-06
 6.52137417e-06
 6.52397610e-06
 6.52595027e-06
 6.52685983e-06
 6.52539489e-06
 6.52315293e-06
 6.52790118e-06
 6.53157207e-06
 6.52681275e-06
 6.52812607e-06
 6.53302344e-06
 6.53088293e-06
 6.52967159e-06
 6.52904878e-06
 6.53229783e-06
 6.53180771e-06
 6.53109446e-06
 6.53696881e-06
 6.53508633e-06
 6.53358794e-06
 6.53000195e-06
 6.53200664e-06
 6.53454631e-06
 6.52907530e-06
 6.52828772e-06
 6.53053792e-06
 6.53356312e-06
 6.53181919e-06
 6.53034291e-06
 6.52953105e-06
 6.52404510e-06
 6.52108533e-06
 6.52112750e-06
 6.52206253e-06
 6.52598071e-06
 6.52470938e-06
 6.52149552e-06
 6.52321602e-06
 6.52308422e-06
 6.52281453e-06
 6.52569265e-06
 6.52503544e-06
 6.52162473e-06
 6.52068586e-06
 6.52241278e-06
 6.52254039e-06
 6.52011573e-06
 6.51919113e-06
 6.51964140e-06
 6.52009504e-06
 6.51916546e-06
 6.51875528e-06
 6.51825082e-06
 6.51780549e-06
 6.51754878e-06
 6.51750070e-06
 6.51986352e-06
 6.52070005e-06
 6.52062234e-06
 6.52151806e-06
 6.52191952e-06
 6.52390804e-06
 6.52233024e-06
 6.52012950e-06
 6.52172105e-06
 6.52438737e-06
 6.52247171e-06
 6.52054376e-06
 6.52038805e-06
 6.51892472e-06
 6.51669291e-06
 6.51593920e-06
 6.51697000e-06
 6.51780246e-06
 6.51700535e-06
 6.51615185e-06
 6.51703892e-06
 6.51690600e-06
 6.51572947e-06
 6.51523437e-06
 6.51545654e-06
 6.51541422e-06
 6.51717004e-06
 6.52026425e-06
 6.51877571e-06
 6.51782061e-06
 6.51707011e-06
 6.51637492e-06
 6.51638708e-06
 6.51693233e-06
 6.51637785e-06
 6.51575920e-06
 6.51587255e-06
 6.51611719e-06
 6.51606675e-06
 6.51618419e-06
 6.51653216e-06
 6.51650281e-06
 6.51635116e-06
 6.51635487e-06
 6.51611704e-06
 6.51573263e-06
 6.51545809e-06
 6.51538871e-06
 6.51519841e-06
 6.51498625e-06
 6.51449064e-06
 6.51540951e-06
 6.51597714e-06
 6.51557045e-06
 6.51517493e-06
 6.51528068e-06
 6.51522271e-06
 6.51485257e-06
 6.51500958e-06
 6.51562863e-06
 6.51538736e-06
 6.51503185e-06
 6.51500895e-06
 6.51599600e-06
 6.51658312e-06
 6.51580008e-06
 6.51559323e-06
 6.51674766e-06
 6.51636434e-06
 6.51585259e-06
 6.51670580e-06
 6.51733699e-06
 6.51678235e-06
 6.51683613e-06
 6.51736999e-06
 6.51764265e-06
 6.51732808e-06
 6.51657494e-06
 6.51609836e-06
 6.51673840e-06
 6.51745157e-06
 6.51665707e-06
 6.51571662e-06
 6.51534176e-06
 6.51636610e-06
 6.51747699e-06
 6.51759659e-06
 6.51752506e-06
 6.51679179e-06
 6.51712419e-06
 6.51768907e-06
 6.51706298e-06
 6.51652561e-06
 6.51599450e-06
 6.51590380e-06
 6.51713933e-06
 6.51685613e-06
 6.51614247e-06
 6.51768769e-06
 6.51810634e-06
 6.51704333e-06
 6.51655452e-06
 6.52054121e-06
 6.52422947e-06
 6.51959109e-06
 6.51774629e-06
 6.51772807e-06
 6.51820516e-06
 6.51637922e-06
 6.51526779e-06
 6.51570501e-06
 6.51620766e-06
 6.51544022e-06
 6.51478789e-06
 6.51507926e-06
 6.51607798e-06
 6.51583414e-06
 6.51677044e-06
 6.51879220e-06
 6.51873752e-06
 6.51750678e-06
 6.51735139e-06
 6.51829147e-06
 6.51817046e-06
 6.51852673e-06
 6.51887195e-06
 6.51948606e-06
 6.51906838e-06
 6.51856558e-06
 6.51898200e-06
 6.51805498e-06
 6.51701618e-06
 6.51702170e-06
 6.51725216e-06
 6.51813788e-06
 6.51836899e-06
 6.51798160e-06
 6.51827521e-06
 6.51921889e-06
 6.52040515e-06
 6.51990233e-06
 6.51942677e-06
 6.51882371e-06
 6.51744514e-06
 6.48477504e-06
 6.51811871e-06
 6.52034375e-06
 6.52072972e-06
 6.51953165e-06
 6.51889324e-06
 6.51791978e-06
 6.51745020e-06
 6.51836026e-06
 6.51803851e-06
 6.51671922e-06
 6.51597104e-06
 6.51576545e-06
 6.51649376e-06
 6.51638182e-06
 6.51617051e-06
 6.51677329e-06
 6.51733336e-06
 6.51713236e-06
 6.51646918e-06
 6.51614070e-06
 6.51563442e-06
 6.51514215e-06
 6.51485442e-06
 6.51476152e-06
 6.51501347e-06
 6.51524584e-06
 6.51534508e-06
 6.51569141e-06
 6.51619098e-06
 6.51615614e-06
 6.51569391e-06
 6.51543579e-06
 6.51621111e-06
 6.51681078e-06
 6.51644177e-06
 6.51696881e-06
 6.51787511e-06
 6.51787150e-06
 6.51772631e-06
 6.51954949e-06
 6.51909075e-06
 6.51666602e-06
 6.51553789e-06
 6.51617866e-06
 6.52042367e-06
 6.51883391e-06
 6.51674288e-06
 6.51766620e-06
 6.51834008e-06
 6.51733548e-06
 6.51675690e-06
 6.51695946e-06
 6.51685405e-06
 6.51782325e-06
 6.51854309e-06
 6.51855629e-06
 6.51881572e-06
 6.51855492e-06
 6.51859224e-06
 6.51815839e-06
 6.51685988e-06
 6.51581927e-06
 6.51572768e-06
 6.51743591e-06
 6.51684797e-06
 6.51583430e-06
 6.51649820e-06
 6.51792345e-06
 6.51770783e-06
 6.51646316e-06
 6.51616273e-06
 6.51719629e-06
 6.51704342e-06
 6.51615929e-06
 6.51681315e-06
 6.51785846e-06
 6.51707185e-06
 6.51700382e-06
 6.51772523e-06
 6.51720648e-06
 6.51582965e-06
 6.51513194e-06
 6.51605438e-06
 6.51691332e-06
 6.51633671e-06
 6.51647492e-06
 6.51661862e-06
 6.51643366e-06
 6.51712565e-06
 6.51704305e-06
 6.51846650e-06
 6.52010861e-06
 6.51849590e-06
 6.51731238e-06
 6.51712002e-06
 6.51772550e-06
 6.51760772e-06
 6.48408795e-06
 6.51856163e-06
 6.51961482e-06
 6.51818124e-06
 6.51770017e-06
 6.51869163e-06
 6.51822709e-06
 6.51778434e-06
 6.51836858e-06
 6.51902153e-06
 6.51779159e-06
 6.51721527e-06
 6.51879278e-06
 6.52054667e-06
 6.51884505e-06
 6.51719934e-06
 6.51805652e-06
 6.51951338e-06
 6.51841461e-06
 6.51728534e-06
 6.51774898e-06
 6.51798822e-06
 6.51729528e-06
 6.51669809e-06
 6.51634178e-06
 6.51750169e-06
 6.51838924e-06
 6.51703431e-06
 6.51633465e-06
 6.51702029e-06
 6.51679908e-06
 6.51594201e-06
 6.51598289e-06
 6.51676470e-06
 6.51711064e-06
 6.51643779e-06
 6.51604273e-06
 6.51563305e-06
 6.51514991e-06
 6.51471876e-06
 6.51475658e-06
 6.51541288e-06
 6.51560537e-06
 6.51522724e-06
 6.51491402e-06
 6.51521816e-06
 6.51582541e-06
 6.51556227e-06
 6.51538193e-06
 6.51611275e-06
 6.51568558e-06
 6.51505166e-06
 6.51507347e-06
 6.51575987e-06
 6.51555631e-06
 6.51517567e-06
 6.51572174e-06
 6.51690394e-06
 6.51591953e-06
 6.51510879e-06
 6.51504655e-06
 6.51533856e-06
 6.51575635e-06
 6.51636168e-06
 6.51575197e-06
 6.51512581e-06
 6.51504182e-06
 6.51552437e-06
 6.51546169e-06
 6.51537012e-06
 6.51550606e-06
 6.51522709e-06
 6.51486030e-06
 6.51515429e-06
 6.51543661e-06
 6.51557469e-06
 6.51632133e-06
 6.51576370e-06
 6.51509121e-06
 6.51497378e-06
 6.51524037e-06
 6.51517771e-06
 6.51543703e-06
 6.51600988e-06
 6.51564430e-06
 6.51517267e-06
 6.51499859e-06
 6.51453569e-06
 6.51467407e-06
 6.51508336e-06
 6.51438561e-06
 6.51516336e-06
 Inf
 Inf
 6.51403831e-06
 6.51455110e-06
 Inf
 Inf
 4.17910890e+283
 3.92653927e+176
 1.62094594e+272
 Inf
 6.51410230e-06
 6.51461572e-06
 6.51484761e-06
 6.51456428e-06
 6.51470751e-06
 6.51488640e-06
 Inf
 Inf
 Inf
 Inf
 6.51402724e-06
 6.51462520e-06
 6.51478631e-06
 6.51493576e-06
 6.51496555e-06
 6.51472150e-06
 6.51456409e-06
 6.51453011e-06
 6.51501037e-06
 6.51503677e-06
 6.51510959e-06
 6.51496513e-06
 6.51504072e-06
 6.51517003e-06
 6.51487123e-06
 6.51453113e-06
 6.51482056e-06
 6.51492355e-06
 6.51518067e-06
 6.51595054e-06
 6.51573955e-06
 6.51551877e-06
 6.51543204e-06
 6.51536078e-06
 6.51545723e-06
 6.51546851e-06
 6.51518190e-06
 6.51486502e-06
 6.51482135e-06
 6.51486469e-06
 6.51480190e-06
 6.51457138e-06
 6.51489811e-06
 6.51499365e-06
 6.51469056e-06
 6.51474092e-06
 6.51466242e-06
 6.51470179e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51431177e-06
 6.51451590e-06
 6.51451480e-06
 6.51470691e-06
 6.51471727e-06
 6.51456769e-06
 6.51582508e-06
 6.51555260e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51421656e-06
 Inf
 6.51442714e-06
 6.51452540e-06
 Inf
 6.51449400e-06
 6.51443220e-06
 6.51451039e-06
 Inf
 Inf
 Inf
 Inf
 6.51406382e-06
 6.51444219e-06
 6.51490138e-06
 Inf
 Inf
 6.51392260e-06
 6.51466452e-06
 Inf
 6.51441850e-06
 Inf
 6.51442635e-06
 6.51438450e-06
 6.51493224e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.83307504e+195
 8.84878750e+160
 1.08515274e+198
 9.50856542e+238
 4.03097579e+285
 8.73844867e+284
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51408553e-06
 6.51456022e-06
 Inf
 Inf
 Inf
 Inf
 6.39499315e+243
 Inf
 6.51403585e-06
 Inf
 7.65254017e+205
 4.03320018e+271
 Inf
 Inf
 Inf
 6.51413411e-06
 6.51997353e-06
 6.52587169e-06
 6.52294791e-06
 6.51905573e-06
 6.51694574e-06
 6.51555850e-06
 6.51495780e-06
 6.51475518e-06
 6.51761952e-06
 6.51689177e-06
 6.51587653e-06
 6.51643162e-06
 6.51770271e-06
 6.51776028e-06
 6.51656605e-06
 6.51651676e-06
 6.51719835e-06
 6.51677063e-06
 6.51649998e-06
 6.51636917e-06
 6.51597864e-06
 6.51539167e-06
 6.51517126e-06
 6.51563366e-06
 7.19244264e+161
 5.30807360e+84
 1.15092384e+157
 2.51888594e+163
 6.26201664e+234
 2.23492857e+188
 8.96267444e+282
 Inf
 3.13998828e+223
 7.26346337e+250
 4.44933097e+188
 1.11171548e+291
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51400407e-06
 6.51530274e-06
 6.51696933e-06
 6.51715368e-06
 6.51597381e-06
 6.51584898e-06
 6.51720079e-06
 6.51734726e-06
 6.51680137e-06
 6.51696265e-06
 6.51808422e-06
 6.51750052e-06
 6.51661590e-06
 Inf
 Inf
 6.51410945e-06
 Inf
 Inf
 6.51445295e-06
 6.51738277e-06
 6.51718497e-06
 6.51635593e-06
 6.51678485e-06
 6.51845189e-06
 6.51733549e-06
 6.51576254e-06
 6.51519090e-06
 6.51580497e-06
 6.51624499e-06
 6.51619018e-06
 6.51582306e-06
 6.51527549e-06
 6.51489806e-06
 6.51463253e-06
 6.51599063e-06
 6.51620286e-06
 6.51623026e-06
 6.51752740e-06
 6.51760861e-06
 6.51644213e-06
 6.51684070e-06
 6.51879790e-06
 6.51790835e-06
 6.51679802e-06
 6.51965378e-06
 6.51716823e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51439247e-06
 Inf
 9.51541385e+171
 2.47140855e+202
 5.42963433e+196
 2.36662728e+263
 9.59970588e+238
 6.67107295e+167
 Inf
 Inf
 1.07377071e+208
 5.47705029e+202
 Inf
 Inf
 Inf
 Inf
 7.14155510e+266
 1.13033830e+188
 3.09655937e+194
 2.48613286e+151
 6.07446824e+125
 4.95200040e+148
 4.42412212e+125
 7.54951761e+127
 4.21585975e+163
 6.08669070e+125
 4.79230547e+116
 1.54042065e+130
 1.06420888e+93
 2.57712581e+77
 3.22680215e+90
 2.15834228e+91
 3.24511488e+90
 1.90196573e+124
 9.97124154e+150
 2.69587084e+132
 1.58698713e+155
 2.89711508e+137
 3.65065870e+116
 7.09143926e+163
 2.42789568e+147
 5.47214769e+127
 4.37660161e+146
 6.31057545e+175
 1.15735543e+191
 2.71194238e+132
 8.48410706e+165
 5.63318759e+187
 4.51417323e+141
 1.88393404e+146
 1.57168904e+151
 6.67889843e+141
 4.15085844e+180
 Inf
 1.73869741e+173
 9.88182292e+173
 Inf
 1.10053190e+150
 3.80345310e+167
 1.69223287e+131
 2.55373916e+59
 5.33413439e+90
 9.45733973e+280
 4.79930066e+100
 9.50887539e+65
 5.12217454e+85
 3.56778887e+122
 1.55311003e+106
 4.81936360e+43
 2.25481922e+40
 1.39786621e+68
 9.47152269e+82
 2.87661526e+172
 1.71900413e+262
 1.99933542e+192
 1.31383343e+140
 1.56535477e+112
 9.78258903e+105
 6.96736413e+176
 8.75292684e+286
 Inf
 6.51400393e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51433776e-06
 Inf
 1.73684988e+206
 8.93861799e+213
 Inf
 Inf
 1.27849095e+215
 4.99169031e+256
 Inf
 Inf
 1.65068316e+231
 1.93880011e+157
 1.57693959e+269
 Inf
 1.20302945e+157
 4.43205995e+216
 9.53991056e+238
 5.96854873e+158
 3.77442550e+153
 1.44283623e+187
 Inf
 Inf
 3.78275046e+147
 3.59856675e+124
 1.83809200e+245
 1.40902242e+298
 3.25214174e+169
 1.78076415e+174
 4.18647343e+220
 6.89455593e+184
 2.66382753e+102
 9.33253377e+93
 1.87525290e+138
 1.56482151e+112
 5.62244224e+111
 8.39371279e+143
 2.38188604e+152
 1.52635386e+145
 5.93145972e+101
 5.16355226e+171
 4.61653189e+274
 1.77245744e+189
 Inf
 6.51410777e-06
 6.51471115e-06
 Inf
 6.51422566e-06
 6.51465610e-06
 Inf
 3.50348148e+276
 9.09980608e+282
 1.29670542e+144
 3.76263964e+153
 1.35565581e+148
 4.99309023e+109
 8.26054195e+95
 1.04408433e+92
 1.19024002e+103
 5.56659309e+123
 4.95521897e+185
 1.14300138e+197
 3.39163053e+179
 5.45505623e+132
 7.09744013e+115
 2.78111269e+110
 1.01181243e+84
 9.55310514e+81
 1.16067043e+99
 2.70207346e+108
 6.01223212e+46
 8.46414243e+28
 3.75068331e+33
 1.10731750e+61
 1.15089777e+131
 9.39188562e+183
 6.56609564e+204
 1.80907218e+118
 1.98585351e+105
 2.22268193e+123
 4.39949628e+125
 1.95694216e+106
 2.22754710e+199
 1.89981298e+134
 2.89462096e+84
 3.00931020e+109
 4.10451440e+123
 2.85131855e+149
 2.84615293e+140
 4.14923085e+180
 1.01049098e+165
 9.12353858e+108
 3.46222750e+78
 1.74956435e+75
 4.10535308e+75
 3.76294237e+77
 6.33304347e+104
 1.84924142e+103
 5.48140889e+134
 3.75351608e+152
 1.20739270e+103
 5.57968614e+83
 3.56154343e+83
 6.76838327e+96
 1.24576175e+92
 2.08376754e+104
 5.11761411e+107
 7.13872537e+97
 5.49956614e+118
 1.58369013e+105
 1.05971788e+98
 1.82259690e+115
 1.25186932e+107
 1.03183288e+124
 4.26319013e+159
 1.31581160e+120
 3.35982742e+112
 3.90389050e+106
 4.15600112e+83
 1.52838058e+69
 2.31132996e+81
 5.72095221e+117
 8.72121176e+97
 2.34260410e+98
 1.21217283e+113
 4.56662858e+110
 1.34396117e+104
 4.81420577e+83
 1.01222251e+87
 1.22012534e+106
 7.36620858e+91
 2.99632786e+76
 1.55299597e+89
 2.20795718e+123
 3.14979465e+133
 1.47543770e+129
 3.89631792e+109
 5.81057989e+28
 7.21226928e+03
 1.61723525e+06
 1.34713057e+93
 4.42662347e+103
 9.71736218e+119
 3.25728848e+97
 1.19213547e+87
 4.82866480e+99
 9.61540754e+87
 2.17550959e+73
 1.24162197e+105
 2.87473766e+165
 5.07686026e+279
 Inf
 7.32363912e+226
 7.27027180e+193
 2.95525975e+209
 6.70440235e+249
 1.00533854e+281
 1.07639081e+199
 Inf
 Inf
 Inf
 Inf
 Inf
 5.26511177e+279
 Inf
 2.12970286e+224
 Inf
 1.92558161e+247
 3.86745688e+132
 9.38906169e+111
 1.35434099e+121
 1.92291322e+124
 3.85024241e+151
 7.41028693e+205
 6.70540677e+144
 2.57708027e+88
 6.21212081e+73
 5.14431101e+85
 2.28525281e+65
 5.36967409e+81
 1.14853728e+157
 9.44487195e+152
 6.97506279e+182
 3.54675592e+260
 Inf
 Inf
 Inf
 6.08893458e+244
 Inf
 6.51418708e-06
 Inf
 Inf
 6.51448978e-06
 Inf
 1.21265312e+279
 6.79751376e+217
 7.71484226e+258
 7.23990770e+226
 1.04544691e+268
 7.18417526e+159
 8.51737535e+130
 Inf
 4.26259562e+220
 5.94978503e+97
 4.90326053e+94
 3.13993325e+96
 4.26616912e+98
 3.43334638e+108
 1.35286417e+121
 2.26893677e+87
 5.27104522e+75
 4.95910628e+102
 4.51907720e+84
 4.58500887e+71
 2.35218960e+72
 3.10767917e+96
 1.63281470e+123
 1.65554187e+90
 6.04447008e+85
 3.54294986e+103
 1.57401120e+113
 4.77652433e+116
 7.15482728e+97
 2.64843640e+76
 7.86087011e+70
 1.42283614e+65
 6.61615800e+68
 9.69144892e+75
 1.42348001e+64
 5.72979471e+62
 6.86291194e+63
 2.70646338e+66
 2.99149834e+78
 1.27273585e+80
 1.09978372e+82
 2.15128851e+91
 3.00025986e+88
 1.07877117e+91
 2.60293264e+104
 9.95363792e+78
 9.05724750e+63
 5.90088701e+75
 5.89339721e+74
 8.94213677e+64
 1.01807805e+62
 7.80715852e+70
 1.39525863e+70
 1.61643891e+57
 2.12558165e+70
 1.66593601e+80
 6.34318905e+76
 7.37379529e+68
 2.71301893e+66
 1.05302346e+68
 1.36618162e+75
 1.83289672e+89
 7.14891226e+82
 5.00889946e+87
 5.13898979e+92
 2.90767498e+80
 1.33627941e+94
 5.49124741e+118
 4.19537424e+88
 2.64143166e+76
 2.53205063e+88
 7.71615039e+105
 1.39744180e+115
 3.82995045e+85
 1.33031861e+81
 3.52086133e+88
 2.44347580e+73
 6.31546646e+70
 1.68817490e+69
 9.95308878e+71
 6.10063775e+91
 7.19555394e+111
 4.10763648e+123
 1.00096118e+254
 6.51377205e-06
 6.51457137e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.93904003e+247
 4.29999467e+163
 3.41277963e+276
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51445662e-06
 6.51444773e-06
 Inf
 Inf
 6.51386825e-06
 6.51453229e-06
 Inf
 6.51427291e-06
 6.51469269e-06
 Inf
 Inf
 6.51416357e-06
 6.51452342e-06
 6.51481064e-06
 6.51474082e-06
 6.51453620e-06
 Inf
 1.02184222e+281
 1.05305760e+268
 1.77147759e+189
 2.71135191e+132
 8.84035461e+162
 8.72339406e+210
 8.94508007e+213
 Inf
 6.51418713e-06
 Inf
 Inf
 2.60680846e+196
 2.94207476e+165
 1.10419914e+291
 Inf
 Inf
 3.79322659e+213
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51430649e-06
 Inf
 Inf
 6.51423143e-06
 6.51486832e-06
 6.51478543e-06
 6.51486838e-06
 Inf
 6.51422992e-06
 Inf
 Inf
 Inf
 Inf
 4.19422584e+283
 Inf
 6.51394678e-06
 6.51450775e-06
 Inf
 7.19336204e+293
 Inf
 Inf
 Inf
 7.28739412e+293
 Inf
 6.51391364e-06
 6.51469110e-06
 6.51492169e-06
 6.51481891e-06
 6.51471773e-06
 Inf
 Inf
 Inf
 Inf
 6.51442290e-06
 6.51449092e-06
 Inf
 Inf
 6.51435634e-06
 Inf
 Inf
 6.51430531e-06
 6.51449158e-06
 6.51470491e-06
 6.51482765e-06
 Inf
 Inf
 4.52436501e+281
 Inf
 6.51393087e-06
 2.63382494e+240
 9.05166168e+137
 9.71496050e+185
 7.38457180e+186
 3.54474534e+184
 1.33015944e+185
 Inf
 6.51393021e-06
 6.51439337e-06
 9.63782997e+282
 3.61181651e+88
 2.28375077e+119
 2.44758036e+151
 3.89806297e+95
 6.99960074e+73
 1.23145855e+107
 3.12921786e+118
 8.55813059e+79
 1.92350682e+79
 2.87495965e+79
 3.55560706e+83
 9.27912915e+76
 3.53697853e+81
 9.53204082e+102
 8.01331606e+104
 3.38291943e+111
 1.65584558e+101
 5.22207799e+98
 2.17310094e+93
 6.36787792e+98
 4.36085767e+117
 8.64456276e+103
 2.85222011e+129
 2.41285122e+161
 5.64434529e+123
 1.92435637e+124
 5.98621444e+121
 1.49308205e+103
 1.21423237e+113
 1.64250592e+123
 5.36239146e+202
 3.72078337e+213
 2.49334693e+106
 6.21424539e+82
 2.01742526e+74
 3.31339923e+80
 7.94189031e+104
 2.82159824e+114
 7.52046997e+110
 3.44666476e+108
 4.37563450e+117
 4.17944396e+137
 2.05850087e+127
 6.26592021e+102
 3.38861029e+94
 4.08147781e+123
 2.60191224e+112
 9.58314012e+98
 8.97168119e+99
 3.19307863e+95
 2.12440588e+108
 1.25987178e+105
 1.11455098e+102
 2.65851347e+122
 1.46725333e+181
 2.07329608e+111
 1.98230492e+105
 5.90610193e+168
 3.87337458e+176
 1.15900334e+176
 1.78292218e+174
 1.45657284e+277
 Inf
 4.27817691e+220
 2.87414809e+140
 1.28269153e+139
 4.39228245e+111
 5.82167958e+80
 4.04629358e+94
 2.45720757e+86
 2.57102258e+89
 4.07192636e+123
 7.02566338e+159
 2.21693431e+180
 9.50657089e+183
 5.12865102e+197
 3.97842987e+127
 9.41603906e+77
 1.31731668e+53
 1.53655922e+70
 1.31941959e+101
 1.69442857e+79
 8.62126303e+72
 3.85811184e+105
 1.93360558e+80
 1.05295244e+61
 1.31220500e+104
 8.73507368e+139
 7.64777487e+123
 1.49063632e+97
 2.06312076e+85
 3.84161077e+90
 1.99308800e+112
 8.60480398e+188
 1.33876275e+195
 5.38068432e+145
 1.55993057e+133
 4.88136776e+296
 6.51443386e-06
 6.51667818e-06
 6.51569170e-06
 6.51462321e-06
 6.51948686e-06
 6.51934587e-06
 6.51647942e-06
 6.51557941e-06
 6.51525243e-06
 Inf
 Inf
 1.75987615e+262
 9.60438987e+183
 3.70046436e+237
 2.59280460e+183
 2.61149458e+91
 2.16324873e+88
 2.60211283e+82
 4.28966365e+92
 1.99643482e+128
 4.69274792e+95
 1.17139956e+90
 8.76068203e+100
 5.83586604e+110
 6.01557608e+125
 1.67183127e+114
 1.02131826e+87
 5.39174748e+69
 5.98048049e+68
 1.96906853e+63
 5.31967938e+52
 1.90309588e+70
 1.46831694e+83
 1.66417725e+165
 Inf
 3.23373978e+162
 1.69464534e+104
 1.05807183e+93
 2.16921232e+93
 7.09467711e+84
 1.19957424e+96
 8.19598318e+107
 2.51784082e+183
 6.51362066e-06
 6.51516037e-06
 4.22326618e+107
 3.62335510e+116
 2.73722677e+195
 7.33524663e+66
 1.48767268e+67
 2.39078466e+121
 1.07381915e+115
 2.61034392e+203
 2.94483936e+165
 9.22032750e+90
 4.11092893e+71
 2.43554600e+58
 3.97828473e+65
 3.73712261e+79
 3.08801139e+87
 9.56475404e+110
 9.01773399e+101
 1.52456015e+63
 2.91955323e+57
 2.60182034e+71
 9.87686108e+73
 3.44525485e+73
 3.86587310e+72
 5.51910124e+83
 2.44786342e+86
 3.24774097e+104
 5.97003581e+130
 9.82383762e+79
 1.32539814e+58
 5.91756821e+69
 1.17876937e+87
 2.20580922e+80
 9.26809930e+76
 2.28524882e+83
 9.27850674e+76
 4.33804006e+72
 1.52313076e+66
 1.26515656e+80
 2.49917794e+100
 6.84475387e+88
 8.20649270e+95
 5.46425522e+134
 5.26503037e+172
 5.98280675e+152
 3.09739511e+136
 8.45599265e+143
 1.10231945e+274
 2.55520780e+163
 9.66927004e+98
 9.28074674e+172
 Inf
 Inf
 8.90575952e+210
 3.47389930e+232
 9.45496352e+171
 5.49410316e+127
 1.51744055e+145
 7.69848824e+148
 1.58619150e+159
 1.79219239e+235
 Inf
 Inf
 Inf
 2.33310697e+241
 2.31303105e+200
 1.46611657e+277
 3.80631192e+228
 1.26398753e+215
 2.96533298e+209
 5.51794012e+127
 1.54519669e+130
 2.68913409e+292
 Inf
 8.89683672e+210
 Inf
 Inf
 Inf
 6.97971036e+209
 1.49177860e+136
 7.56163267e+120
 1.40346723e+115
 5.03256898e+102
 8.60911701e+103
 2.29812299e+119
 1.29651338e+138
 6.96015787e+103
 2.61386027e+82
 1.07083032e+122
 5.59565396e+143
 5.50543499e+119
 1.24722764e+125
 4.94875347e+165
 2.69852339e+217
 9.90902156e+119
 3.39736986e+111
 1.43550873e+99
 1.59918113e+74
 3.08027827e+87
 4.65606509e+74
 2.86519945e+61
 2.44041460e+72
 5.91625194e+66
 1.55944897e+65
 2.09237426e+56
 5.70526368e+62
 3.73805285e+77
 3.47028929e+59
 1.35703002e+56
 4.33006840e+61
 3.62374010e+74
 1.52343813e+69
 1.74610692e+72
 7.42101757e+83
 7.15708315e+71
 7.27026300e+91
 1.26170311e+93
 8.21913295e+68
 6.88279462e+63
 4.38164175e+63
 4.39739547e+66
 2.62775859e+68
 4.67009388e+81
 3.27372736e+117
 8.73339697e+83
 2.53075359e+53
 1.85912181e+57
 1.77542304e+93
 7.65466288e+90
 1.26131895e+93
 1.45597687e+129
 9.39027744e+93
 4.87473210e+65
 9.02147983e+57
 6.60599854e+58
 6.80576241e+62
 3.27148707e+112
 1.16338660e+180
 4.41848222e+111
 5.20962358e+85
 2.97376080e+70
 5.92135721e+75
 3.33880907e+86
 6.77690263e+96
 5.43505281e+119
 5.86808230e+110
 4.92226213e+105
 4.45837488e+85
 8.64397397e+86
 7.63698395e+90
 1.76264623e+96
 2.34112239e+98
 5.93737690e+121
 1.78427939e+216
 1.02570614e+121
 1.15295732e+109
 2.87840935e+209
 1.69818647e+150
 2.50682475e+105
 5.95287246e+121
 1.46944159e+136
 9.91620852e+141
 1.30880751e+119
 2.83332901e+114
 2.22929648e+123
 5.26047037e+181
 2.68237292e+226
 3.28390942e+99
 1.11843452e+80
 4.04954687e+104
 6.81891403e+96
 7.21000715e+111
 1.64482521e+143
 1.01338847e+97
 2.47442865e+72
 4.86993867e+88
 1.76117417e+96
 2.87124092e+84
 1.21246190e+97
 7.61981941e+78
 1.57456534e+38
 7.94515219e+44
 7.99035386e+130
 5.45487075e+132
 8.12976407e+88
 8.63311929e+75
 1.19456451e+96
 2.29132341e+119
 1.98640318e+105
 1.20801084e+96
 1.28858474e+98
 2.33769428e+94
 4.35820854e+108
 4.09390071e+104
 6.96580465e+87
 6.08638172e+84
 5.41857433e+81
 1.21831773e+73
 3.67313677e+70
 4.32620401e+72
 1.67776749e+79
 2.85393985e+84
 2.20180433e+72
 1.78432944e+74
 2.13483507e+114
 2.88617465e+165
 1.30993982e+138
 5.60847067e+108
 1.88110919e+132
 4.06553634e+138
 8.65340255e+94
 1.00219503e+97
 1.02791917e+124
 2.31179057e+119
 9.66812751e+110
 3.28072695e+85
 9.57055100e+87
 1.03594403e+108
 2.86876199e+98
 1.81391428e+95
 2.65916465e+97
 Inf
 Inf
 1.19601968e+160
 4.04323984e+129
 3.88453716e+95
 1.98823264e+107
 4.03429142e+138
 9.08628727e+108
 2.48111148e+72
 1.10769004e+80
 9.94558688e+104
 1.24872684e+92
 1.06278425e+68
 1.71241951e+73
 1.04617407e+98
 1.29319254e+119
 4.15496087e+75
 1.87023810e+64
 5.05777661e+162
 1.33740323e+183
 5.95981297e+101
 1.32119371e+108
 4.06180503e+155
 1.12714961e+162
 2.91592141e+144
 1.22142722e+232
 1.06420169e+175
 6.48000882e+133
 1.47417485e+136
 3.15295451e+118
 4.93121105e+106
 6.32014130e+109
 4.86761628e+124
 1.31058667e+134
 5.53366596e+134
 8.42812935e+89
 1.10372430e+82
 4.04517490e+119
 2.89195221e+165
 3.36690794e+131
 3.26483189e+97
 2.64204154e+95
 2.90999161e+80
 6.33282533e+70
 2.46489797e+66
 8.73027220e+66
 1.86361606e+64
 1.10862614e+62
 1.56450249e+59
 4.48557251e+58
 1.60571177e+54
 2.69691269e+57
 6.20068864e+86
 1.24130593e+95
 2.12611318e+84
 1.81422018e+76
 1.71874957e+73
 8.19121953e+84
 1.53605568e+73
 1.92553622e+70
 7.28952785e+92
 4.61408731e+96
 3.02015730e+92
 1.60610612e+76
 2.10033367e+92
 6.60494783e+124
 1.14150931e+79
 8.95576221e+64
 3.19752790e+75
 3.08268045e+72
 3.16673095e+67
 1.65854930e+58
 9.60125370e+60
 1.76870365e+86
 4.62619091e+82
 1.41394533e+76
 1.36425761e+73
 3.57106319e+89
 3.79791177e+134
 2.68492227e+97
 8.26137962e+69
 3.88287917e+64
 6.26479890e+77
 7.44045998e+83
 1.37732174e+69
 3.76984517e+85
 1.46272523e+80
 1.55838516e+70
 3.34316161e+94
 2.16356993e+180
 Inf
 5.59279475e+224
 5.10468484e+102
 3.09888047e+81
 4.00750075e+102
 1.66568654e+131
 1.14163107e+126
 1.65005554e+87
 2.43596138e+106
 3.18313779e+148
 7.62143233e+113
 8.25139458e+77
 2.96118870e+59
 5.30439433e+57
 6.33154965e+67
 9.68635221e+75
 2.93384548e+71
 1.56160594e+84
 2.12377016e+126
 3.03136224e+223
 1.73070170e+165
 1.23042146e+113
 2.34687690e+135
 1.58921937e+107
 1.12326797e+85
 4.05166499e+119
 3.58171716e+103
 3.09489252e+73
 1.54972906e+88
 2.56611298e+91
 1.92620349e+80
 6.90928133e+87
 1.61345766e+42
 1.69741192e+39
 1.84133632e+65
 1.65701172e+58
 2.16248002e+57
 2.01504513e+62
 3.43103997e+72
 1.11519424e+72
 5.56783515e+95
 2.78887845e+96
 1.07167322e+104
 8.01599228e+104
 3.30664545e+117
 5.64741927e+76
 3.21549572e+75
 5.91632820e+89
 2.86984754e+86
 2.74257574e+73
 5.10278529e+71
 3.89944602e+86
 6.13320106e+105
 1.05992734e+77
 1.71925951e+73
 2.57734275e+93
 9.94483729e+95
 3.04878405e+89
 7.21952412e+76
 4.92249577e+76
 6.01235011e+85
 2.17850589e+97
 8.70062491e+78
 2.93713047e+71
 2.31516204e+98
 5.91690414e+87
 5.80090942e+67
 4.09082690e+75
 2.64491383e+83
 4.10146048e+71
 2.45345100e+72
 3.79906611e+80
 3.64576518e+66
 4.33501537e+73
 1.38491756e+87
 1.69206697e+82
 6.80204270e+88
 3.35670786e+86
 2.52068546e+79
 1.55510286e+89
 3.65673531e+114
 6.65980599e+124
 7.16752487e+97
 7.07316716e+85
 3.05153490e+91
 2.57561073e+112
 1.03465787e+110
 1.22814754e+71
 2.31084055e+94
 4.68954087e+100
 1.43555884e+65
 8.17606331e+82
 4.05821564e+123
 2.30639503e+124
 2.31161519e+119
 1.05782270e+156
 4.46501696e+149
 3.28978165e+102
 5.39401564e+93
 9.94620520e+95
 1.82116684e+115
 4.05477312e+102
 8.71240680e+78
 1.00676285e+69
 4.84485735e+72
 1.47013217e+83
 4.65530935e+75
 1.73465863e+99
 1.39846989e+87
 4.43766382e+66
 1.26635611e+83
 7.03784128e+85
 4.42421754e+65
 4.32888915e+69
 1.80319817e+76
 9.25266347e+76
 2.63038081e+76
 1.43431631e+67
 7.15398066e+76
 1.36482779e+102
 7.12747169e+97
 3.89671753e+72
 9.66916858e+79
 1.12302681e+88
 5.60722449e+76
 5.55929717e+96
 3.01242367e+130
 1.82864922e+121
 1.55077918e+133
 1.14711283e+176
 9.05283380e+122
 4.06108760e+107
 3.18471055e+148
 1.92661291e+144
 4.03173401e+129
 9.43973007e+112
 1.28053254e+82
 2.79540581e+94
 1.24480919e+92
 2.09575897e+69
 1.92412845e+67
 1.79465571e+91
 9.49884656e+88
 8.49503290e+74
 2.51716379e+75
 4.91815982e+79
 4.58909787e+96
 3.87999966e+84
 1.88363440e+69
 1.42183818e+65
 7.59612247e+102
 1.08074892e+122
 8.96281598e+122
 7.26565882e+186
 Inf
 Inf
 1.00328588e+170
 2.69867610e+273
 Inf
 Inf
 Inf
 2.70386185e+297
 2.50800447e+151
 3.60104025e+124
 4.83546523e+199
 5.14264667e+197
 7.76617512e+148
 7.66085291e+123
 7.10997944e+163
 1.43792706e+225
 7.68443468e+128
 1.60373274e+116
 9.40438206e+131
 5.38070692e+202
 3.55353362e+184
 9.46201726e+111
 1.89075441e+182
 4.51087187e+141
 3.91539614e+84
 1.12188430e+86
 1.76712373e+92
 5.56253163e+83
 7.58796815e+78
 2.60088707e+102
 1.25490652e+167
 2.43451501e+161
 1.59300547e+98
 7.37650995e+92
 1.20956848e+113
 1.06047418e+93
 3.26495102e+85
 5.01417955e+87
 2.17532695e+73
 4.91633329e+76
 3.31100392e+77
 3.99058152e+82
 1.55621953e+88
 9.86577322e+89
 8.67169110e+83
 2.53193161e+59
 2.85046632e+62
 1.61853924e+90
 9.93336831e+95
 4.45204193e+113
 1.28006752e+114
 6.92464303e+103
 1.37978822e+102
 8.79766110e+100
 2.09056035e+116
 1.47019648e+142
 3.47069033e+108
 3.37587823e+86
 1.66426906e+104
 2.58786108e+112
 1.27271577e+139
 6.87833703e+241
 Inf
 9.95477115e+288
 2.12119634e+148
 8.22321014e+192
 1.65705373e+135
 1.89536395e+132
 1.71348149e+156
 1.56302292e+133
 3.42790049e+168
 1.46385502e+161
 3.22958378e+107
 9.73020940e+119
 2.87317725e+137
 5.15876489e+107
 4.29756041e+87
 5.19705669e+98
 2.31992779e+120
 1.06558760e+121
 1.13699942e+135
 1.87568583e+162
 Inf
 Inf
 Inf
 Inf
 Inf
 1.51314032e+277
 4.79868038e+265
 1.01216642e+271
 Inf
 Inf
 Inf
 Inf
 6.51396564e-06
 6.51468285e-06
 6.51498967e-06
 Inf
 4.94766872e+211
 7.03870773e+293
 1.91686415e+247
 1.22677478e+112
 1.90732189e+140
 Inf
 Inf
 5.58659927e+208
 9.68155144e+151
 8.76484832e+138
 8.77251427e+147
 7.96743003e+134
 2.53879301e+196
 6.29478266e+106
 1.56950066e+89
 2.37098362e+147
 1.02987484e+208
 3.77487321e+186
 7.38587021e+186
 Inf
 6.51425370e-06
 Inf
 Inf
 1.70807219e+218
 5.79751962e+230
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.83276143e+148
 1.02978089e+219
 Inf
 Inf
 6.51434089e-06
 6.51449041e-06
 6.51468875e-06
 Inf
 Inf
 7.11474715e+241
 Inf
 Inf
 Inf
 Inf
 1.24304212e+203
 5.65483936e+108
 2.14643839e+126
 2.10605363e+116
 5.94334294e+87
 1.14052504e+109
 1.50257628e+154
 1.48430882e+142
 1.68462061e+131
 1.09051313e+91
 3.89302192e+105
 2.35318876e+152
 2.78146287e+156
 3.60373861e+158
 1.96892551e+192
 3.09876977e+194
 6.25280326e+154
 1.09803161e+133
 1.01124133e+105
 2.09351913e+116
 2.84451561e+149
 5.95641766e+152
 1.37678306e+298
 8.07535741e+251
 3.19576656e+115
 1.51167173e+145
 Inf
 Inf
 Inf
 6.51399550e-06
 6.51539299e-06
 6.51730144e-06
 6.51708656e-06
 6.51608697e-06
 6.51684095e-06
 6.51882688e-06
 6.51757332e-06
 6.51575671e-06
 Inf
 1.02120856e+260
 4.58117114e+207
 2.59414992e+185
 4.21718907e+118
 4.39100240e+108
 2.38034314e+109
 2.51961276e+183
 1.83366058e+184
 4.49071382e+121
 2.62236397e+124
 2.52906833e+196
 Inf
 7.67248760e+298
 2.92613982e+146
 9.71522071e+84
 1.47781639e+83
 3.91890293e+97
 7.06162754e+89
 8.80084845e+92
 8.69110928e+139
 6.32945706e+116
 1.47466257e+80
 1.93754899e+90
 3.64089402e+87
 2.79478686e+85
 2.30757710e+125
 2.75738728e+139
 6.56490043e+167
 2.42954991e+147
 6.23295590e+105
 1.82901720e+247
 Inf
 7.87292495e+258
 Inf
 6.51460587e-06
 6.51529868e-06
 7.05839312e+249
 Inf
 1.50327280e+129
 2.76028910e+139
 Inf
 6.51397564e-06
 Inf
 2.25187118e+167
 8.72764682e+286
 1.95013864e+244
 6.13730836e+125
 1.83107483e+91
 1.39499124e+87
 1.98141560e+107
 8.18620490e+114
 2.11207089e+86
 1.17397639e+68
 3.01166307e+65
 1.40323453e+74
 8.75969644e+66
 1.26020401e+82
 1.28646878e+120
 2.05102335e+113
 1.26223439e+72
 6.17483696e+73
 1.65573949e+108
 9.34749757e+93
 8.16345077e+87
 4.25266907e+98
 7.21478717e+111
 1.80692354e+97
 2.59272322e+96
 1.87743636e+138
 5.65903620e+126
 1.95740560e+106
 2.34042056e+153
 2.80137898e+181
 5.45645148e+132
 8.98635830e+122
 9.77369971e+119
 1.34461064e+101
 1.77491411e+118
 3.29689618e+121
 1.22899627e+146
 3.19054043e+160
 3.10286453e+119
 3.35930006e+112
 2.74970456e+156
 2.84589189e+187
 2.49394204e+86
 1.55863436e+88
 1.02004918e+169
 1.42439919e+124
 3.96777085e+97
 2.58187637e+112
 7.75518262e+126
 9.53713115e+151
 5.97982623e+138
 3.63004944e+122
 5.02986649e+157
 1.58918429e+159
 3.23162229e+125
 1.21376703e+96
 4.69246460e+100
 1.29738515e+120
 5.62007479e+112
 1.13462218e+88
 1.12323349e+86
 1.08106029e+117
 2.80058767e+128
 6.04561757e+125
 1.58622316e+105
 1.20829659e+123
 8.42518706e+143
 6.69531233e+131
 1.47690929e+142
 1.49062799e+163
 5.73234151e+230
 1.04668795e+208
 4.24496618e+140
 5.64290573e+120
 1.28256994e+114
 1.46649076e+109
 4.66314536e+191
 2.19112776e+250
 3.93098456e+154
 3.20637023e+174
 3.56018040e+294
 1.01083593e+281
 4.46093517e+188
 1.67347533e+172
 2.78423087e+139
 2.31968705e+119
 2.15349111e+126
 1.25192500e+209
 1.09176981e+238
 2.91419095e+146
 1.00604719e+182
 3.54602057e+260
 6.38982890e+179
 3.13140949e+157
 9.47162760e+172
 1.26234564e+237
 1.74169159e+262
 2.08375618e+211
 4.34732043e+166
 5.61564325e+169
 8.18572778e+177
 6.35533200e+114
 1.68328564e+108
 6.85108995e+149
 6.20536940e+154
 1.39433630e+102
 2.89580737e+79
 8.13570731e+107
 3.55225284e+158
 1.05424884e+108
 2.61787362e+104
 7.49682844e+120
 1.97967063e+122
 8.79024585e+139
 2.17405477e+130
 3.70069455e+147
 6.12561081e+243
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51234990e+175
 1.15736282e+191
 6.19852815e+243
 2.68848059e+203
 2.98960881e+172
 2.43139924e+147
 Inf
 9.08175944e+252
 7.38076183e+156
 2.47563109e+270
 Inf
 1.63726589e+231
 2.49610273e+151
 8.83278536e+213
 Inf
 Inf
 Inf
 Inf
 Inf
 2.68160818e+297
 1.94513625e+227
 Inf
 Inf
 8.44099714e+275
 8.88129300e+188
 8.70805998e+206
 Inf
 Inf
 6.70613157e+219
 1.15602633e+126
 4.18547776e+140
 Inf
 4.27747855e+137
 2.30795039e+145
 2.79221007e+178
 3.17599724e+115
 2.87312584e+103
 9.80688182e+113
 1.01666631e+208
 4.13724594e+255
 1.48165228e+166
 5.81586223e+174
 6.27521357e+248
 2.45949022e+161
 2.22802171e+133
 2.86925142e+146
 8.68342441e+210
 2.10053551e+230
 1.66321013e+135
 1.00277244e+182
 Inf
 1.68308729e+220
 2.80632489e+195
 3.50654709e+164
 1.46509470e+128
 1.89313471e+186
 1.92176759e+244
 1.23362536e+196
 4.97645307e+198
 1.08419866e+201
 6.06525324e+247
 1.67246611e+220
 1.99035535e+192
 3.71403097e+213
 1.12402529e+274
 3.08748949e+215
 3.72816404e+213
 2.10143626e+230
 7.67062009e+229
 2.38115503e+263
 1.53325412e+152
 6.97592869e+103
 2.64714295e+95
 1.31626462e+110
 2.17393611e+158
 2.70529643e+134
 4.06552348e+139
 1.13040579e+197
 1.92613889e+244
 8.85593765e+188
 7.03496607e+189
 2.57669622e+183
 1.69594159e+131
 1.73849551e+119
 6.04405973e+151
 Inf
 Inf
 8.93860837e+160
 Inf
 6.51422003e-06
 2.23327260e+242
 1.40117923e+228
 3.48310476e+232
 Inf
 2.08272157e+249
 1.90907769e+162
 5.15343383e+214
 Inf
 1.32602819e+177
 5.67534241e+120
 6.62880264e+141
 7.35370942e+215
 9.77107398e+178
 3.48819075e+175
 2.73818137e+292
 Inf
 4.49184329e+236
 1.81977077e+235
 Inf
 Inf
 Inf
 Inf
 7.87594680e+240
 5.32534223e+171
 1.32698766e+185
 4.04698741e+192
 1.19726460e+255
 4.98803852e+183
 3.53453065e+145
 1.76834844e+222
 2.71711975e+278
 9.98401408e+169
 1.00653201e+226
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51435861e-06
 6.51458960e-06
 6.51477401e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.82747178e+222
 6.60195683e+219
 5.68332176e+187
 1.67220986e+143
 2.49275309e+240
 3.11896740e+194
 1.31522304e+138
 2.54149278e+196
 1.26889015e+237
 7.43636378e+186
 2.57151569e+196
 3.76846242e+186
 1.06408982e+199
 1.92688535e+244
 1.85164382e+169
 1.11221644e+143
 7.26856179e+156
 8.13907162e+145
 2.41453669e+115
 3.44977150e+113
 3.07230214e+119
 5.03783650e+102
 5.77516519e+117
 4.70639632e+131
 1.47337322e+136
 4.90263795e+135
 1.25213039e+125
 1.87003154e+162
 1.15574680e+176
 3.12954463e+157
 1.23978665e+146
 1.48187327e+142
 2.02788126e+141
 4.13722420e+115
 2.60072939e+150
 2.88069660e+146
 3.22180121e+148
 1.82531133e+169
 2.83118865e+128
 Inf
 Inf
 3.90044464e+206
 5.05055231e+185
 1.62481180e+272
 9.09508007e+282
 1.91388922e+162
 6.60037670e+167
 5.89447748e+203
 5.30310648e+171
 6.09383493e+125
 1.58611103e+107
 1.26763954e+93
 2.85538902e+98
 7.80770997e+106
 1.62743767e+135
 2.54499046e+183
 1.35533052e+158
 2.65914030e+111
 1.98237046e+105
 6.17565814e+105
 4.65261924e+82
 6.86371478e+72
 4.99388348e+89
 1.14148033e+109
 3.87652741e+109
 1.77999789e+118
 8.29791002e+116
 2.63600698e+102
 6.26786963e+116
 2.61250857e+203
 3.44847365e+276
 1.35742889e+183
 9.53038911e+131
 1.02574745e+147
 4.30230942e+236
 6.16756013e+236
 4.35900509e+166
 5.37263303e+170
 8.91829506e+162
 1.30389253e+177
 3.80703592e+225
 2.39798828e+153
 1.59134175e+98
 Inf
 6.51429604e-06
 2.44064242e+241
 3.74088905e+213
 4.96004819e+135
 7.28663183e+111
 1.91772883e+124
 4.07378332e+150
 1.74506907e+119
 1.24185939e+111
 9.74134012e+119
 1.03591474e+124
 1.89005501e+132
 4.06920580e+107
 4.37433847e+117
 9.88079174e+225
 3.40437360e+179
 6.99976427e+103
 7.07416963e+89
 2.48839836e+117
 3.57363749e+124
 9.42900953e+112
 3.50841856e+98
 7.74633034e+105
 9.90531746e+150
 1.99029301e+137
 1.91008809e+157
 9.46149136e+183
 2.22587647e+142
 7.57834877e+127
 2.94236724e+172
 2.92866898e+204
 1.35920947e+158
 1.05762926e+199
 Inf
 5.81564038e+147
 1.26015937e+107
 1.66932926e+173
 1.05544545e+175
 6.09657443e+125
 4.11035865e+119
 2.35173415e+135
 5.97238802e+168
 2.97296952e+172
 2.12290081e+116
 1.58257148e+107
 1.47557043e+153
 3.41366782e+135
 3.15492714e+115
 2.30791348e+103
 5.01604261e+102
 1.90047353e+140
 1.71557499e+125
 4.49139693e+113
 6.72469150e+184
 4.70003630e+261
 4.45379262e+188
 8.94424234e+162
 3.23238720e+148
 6.87971476e+96
 1.11762892e+80
 3.04406816e+91
 3.48547558e+98
 2.80459322e+85
 1.93563292e+67
 2.89956183e+77
 1.24457208e+105
 1.77075334e+96
 4.35980546e+125
 5.62753780e+112
 1.95785457e+90
 5.78567708e+88
 6.86756260e+103
 4.85759004e+124
 3.88086977e+95
 5.24532119e+84
 2.12988895e+96
 1.12910224e+126
 2.03750094e+164
 1.85502968e+149
 3.65858859e+116
 5.95500173e+139
 1.91131975e+157
 6.98098744e+103
 3.43785413e+113
 5.29194636e+170
 9.20963096e+124
 2.64080600e+102
 3.10999999e+101
 1.46925775e+163
 4.50826761e+156
 5.94142781e+101
 1.75316084e+99
 1.20562269e+123
 1.88956360e+132
 1.01153394e+97
 1.97352819e+105
 1.47438059e+153
 2.66279557e+226
 3.80976288e+153
 6.94024748e+149
 Inf
 2.12983220e+224
 7.79641879e+117
 8.72151740e+86
 6.35217314e+98
 1.97475362e+105
 5.81197846e+88
 9.92804846e+95
 9.78033242e+113
 6.65865963e+124
 8.65873426e+103
 2.29812705e+119
 3.82078581e+176
 1.75168499e+119
 1.43817175e+99
 1.54887015e+112
 1.08412301e+122
 2.64127293e+111
 1.53498383e+91
 3.00018321e+123
 1.23244663e+215
 5.31069122e+171
 1.37386545e+141
 6.01039749e+141
 4.23191778e+163
 1.66602946e+172
 1.11639328e+188
 5.15198040e+227
 1.68193234e+172
 1.59354603e+159
 6.91649912e+221
 Inf
 6.51402378e-06
 Inf
 Inf
 2.43505670e+251
 5.13713881e+157
 2.84676371e+187
 6.97593610e+241
 3.53448759e+189
 1.21999379e+164
 1.35860860e+118
 4.20188461e+163
 3.79444270e+225
 1.73448131e+125
 2.05488422e+111
 2.95793760e+126
 2.48022802e+143
 1.21364666e+112
 4.36463210e+111
 3.83582894e+154
 5.71817180e+230
 1.84603592e+184
 3.65577225e+122
 3.84652020e+134
 9.57032721e+232
 1.66945078e+220
 4.28869371e+163
 2.61563360e+159
 1.69326672e+193
 1.68514275e+171
 1.99717777e+137
 6.35322436e+194
 9.52968220e+183
 1.73172764e+156
 5.80349186e+174
 3.78473691e+152
 2.91074379e+144
 1.52382018e+145
 3.11057424e+157
 5.00565171e+185
 8.17697333e+145
 5.98668976e+153
 7.41480896e+205
 7.04368263e+182
 1.88594403e+247
 1.16965618e+176
 1.92639303e+182
 2.15542058e+258
 5.39091779e+181
 1.94401633e+248
 Inf
 Inf
 Inf
 Inf
 5.36272591e+171
 1.15640702e+191
 3.30748265e+264
 2.46269380e+154
 2.79188816e+138
 6.21471848e+140
 3.50726015e+145
 4.48251040e+141
 4.15065659e+180
 2.41635617e+197
 4.55203880e+133
 2.37574736e+152
 2.10784739e+176
 4.26324393e+163
 1.28116821e+144
 2.46539531e+121
 1.86770306e+162
 4.13090587e+287
 3.87695713e+206
 4.93366894e+199
 9.74181514e+232
 3.11638460e+194
 1.72456159e+165
 3.88745975e+151
 1.93062538e+160
 Inf
 5.99876977e+245
 2.36834418e+191
 8.93699741e+252
 2.16586636e+214
 3.78212235e+143
 4.10759861e+155
 7.97163367e+223
 4.99650729e+198
 3.06382295e+170
 1.51493482e+178
 Inf
 Inf
 4.17909183e+285
 5.26435632e+235
 5.00363460e+198
 3.76692158e+228
 2.33989251e+198
 1.01651145e+182
 5.98513749e+244
 2.36810840e+191
 1.00110250e+155
 1.58014664e+147
 3.31836478e+121
 4.71158006e+131
 4.89725761e+135
 4.47240515e+141
 1.30404990e+138
 2.48778041e+143
 1.85294823e+245
 9.64421623e+295
 9.58528147e+152
 1.30706195e+138
 1.23464281e+146
 6.40665089e+150
 6.73043980e+146
 8.49747474e+130
 1.68043023e+131
 3.39751562e+135
 3.15959541e+133
 1.91048573e+117
 1.92086322e+124
 8.89668461e+137
 4.48307193e+156
 1.11255206e+188
 Inf
 2.60844021e+196
 4.24312563e+120
 7.29256086e+215
 1.02610809e+229
 1.76462203e+189
 9.89167484e+169
 9.51321815e+131
 4.35445737e+188
 Inf
 Inf
 1.63139503e+269
 Inf
 6.51431335e-06
 6.51483038e-06
 6.51441085e-06
 6.51496186e-06
 6.51516706e-06
 6.51489430e-06
 6.51494532e-06
 6.51499978e-06
 Inf
 Inf
 Inf
 6.51422450e-06
 6.51467133e-06
 Inf
 6.51440940e-06
 6.51464886e-06
 6.51522721e-06
 6.51897458e-06
 6.54125336e-06
 6.55133847e-06
 6.54686804e-06
 6.53748233e-06
 6.52913557e-06
 6.52813792e-06
 6.52339763e-06
 6.51936440e-06
 6.51944999e-06
 6.51776303e-06
 6.51672092e-06
 6.51708808e-06
 6.51678918e-06
 6.51619203e-06
 6.51604485e-06
 6.51634212e-06
 6.51665051e-06
 6.51656161e-06
 6.51615345e-06
 6.51588022e-06
 6.51622784e-06
 6.51637613e-06
 6.51555252e-06
 6.50179675e-06
 6.51533714e-06
 6.51565823e-06
 6.51526390e-06
 6.51483379e-06
 6.51471170e-06
 6.51478379e-06
 6.51474210e-06
 6.51467797e-06
 6.51487603e-06
 6.51505823e-06
 Inf
 Inf
 6.51425288e-06
 6.51442213e-06
 Inf
 6.51427326e-06
 6.51497126e-06
 6.51524865e-06
 Inf
 6.51427034e-06
 6.51516382e-06
 6.51523398e-06
 6.51489421e-06
 6.51469861e-06
 6.51446967e-06
 6.51481082e-06
 6.51492165e-06
 6.51485869e-06
 6.51481569e-06
 6.51486677e-06
 6.51475623e-06
 6.51452081e-06
 6.51453947e-06
 6.51450645e-06
 6.51491338e-06
 1.81384601e+189
 1.00080402e+155
 3.87487155e+134
 1.65166204e+123
 1.11742893e+162
 3.60736382e+124
 6.43627388e+104
 6.11914779e+154
 7.10571806e+226
 Inf
 6.51425237e-06
 6.51466244e-06
 6.51438286e-06
 6.51463484e-06
 6.51471845e-06
 6.51441410e-06
 Inf
 8.87690378e+97
 3.10839886e+87
 4.62807610e+82
 2.23075957e+198
 6.51347344e-06
 Inf
 6.51434094e-06
 6.51439037e-06
 Inf
 Inf
 Inf
 6.51667244e-06
 6.51974757e-06
 6.51650251e-06
 6.51446673e-06
 6.51451040e-06
 6.51497646e-06
 6.22786016e+245
 4.45486054e+146
 9.44394266e+170
 1.18584652e+223
 7.26296655e+250
 1.48665136e+205
 7.04298811e+182
 6.78207542e+161
 5.12523258e+201
 3.54263404e+145
 1.49139479e+127
 8.47026040e+165
 2.14515693e+136
 1.02082951e+136
 3.43074047e+168
 1.59252344e+159
 7.41179365e+142
 1.45747401e+166
 1.44706693e+187
 2.19676008e+110
 3.27490941e+104
 4.17825475e+163
 5.65964548e+129
 2.34430952e+125
 4.43179392e+149
 2.96029412e+171
 5.99981700e+138
 2.54322868e+107
 6.82589773e+95
 1.64435826e+90
 6.37077575e+104
 3.61340906e+89
 6.33214187e+77
 8.69382082e+91
 2.47126704e+105
 1.93351110e+80
 2.32188632e+94
 1.87915358e+157
 8.80744532e+147
 2.85049121e+114
 1.91926217e+124
 2.52892977e+196
 7.22135485e+163
 4.49500449e+136
 1.65697590e+143
 5.94803365e+152
 6.68098151e+141
 1.69308569e+108
 6.01050936e+125
 3.64600043e+213
 2.23713919e+180
 8.99560137e+137
 1.51667218e+154
 8.72901307e+188
 3.53705100e+145
 2.22158488e+133
 4.02374817e+161
 8.72042652e+210
 2.58138652e+196
 3.79648097e+152
 1.48083081e+181
 1.81718975e+216
 4.25165117e+137
 1.47679606e+129
 5.25587795e+172
 1.73002859e+257
 1.95234412e+144
 1.22057927e+123
 2.79645452e+190
 1.46903036e+161
 1.22411020e+123
 4.77675289e+101
 1.63616429e+123
 1.15932608e+160
 1.49777728e+153
 3.17110856e+133
 1.67610975e+150
 1.00454408e+165
 3.21363836e+174
 1.85808152e+284
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.02576499e+286
 7.32123404e+250
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51437754e-06
 Inf
 Inf
 6.51410773e-06
 Inf
 Inf
 Inf
 6.51410484e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51424728e-06
 6.51447380e-06
 Inf
 Inf
 3.57136063e+254
 7.75711362e+258
 4.04277349e+285
 Inf
 Inf
 5.24718313e+279
 1.07323516e+200
 Inf
 Inf
 2.33155050e+290
 Inf
 Inf
 6.51443976e-06
 6.51598678e-06
 6.51554970e-06
 Inf
 Inf
 Inf
 Inf
 2.13321923e+224
 Inf
 Inf
 8.10214777e+180
 5.83168194e+174
 Inf
 2.76225718e+278
 5.34196316e+171
 9.86245153e+169
 Inf
 Inf
 Inf
 2.89874454e+187
 8.90905084e+213
 Inf
 Inf
 1.08869403e+200
 2.94397417e+204
 Inf
 1.42845045e+293
 5.91062440e+195
 8.43401886e+239
 6.68554424e+272
 1.89317772e+286
 1.32365994e+177
 5.36749489e+145
 1.10939202e+188
 1.70321882e+193
 5.95312702e+164
 3.74661695e+186
 9.72804461e+158
 8.81019474e+147
 4.46714995e+121
 4.17167980e+118
 2.19575170e+142
 4.03016249e+129
 5.86234849e+158
 1.40449536e+190
 3.07679605e+130
 1.14141197e+126
 1.56922193e+147
 1.58557256e+159
 5.35155541e+145
 1.30518580e+138
 1.50321127e+178
 1.18659973e+157
 5.55986494e+134
 7.04540385e+176
 1.85933372e+284
 3.50256422e+168
 1.37317658e+141
 1.17528147e+180
 7.65427490e+258
 1.51648480e+236
 9.88998595e+185
 5.83668216e+174
 2.62085777e+159
 1.08216290e+127
 6.46570659e+136
 1.43605526e+187
 5.94785697e+164
 9.69102178e+178
 2.38594659e+208
 3.84168469e+167
 1.48388530e+136
 1.09836560e+117
 1.96095094e+168
 Inf
 Inf
 2.43632503e+152
 2.98702486e+126
 2.16718043e+130
 5.64794673e+111
 8.03398596e+104
 5.11859841e+107
 1.21601253e+113
 1.23107910e+106
 7.73870778e+126
 2.20119472e+142
 1.24793620e+111
 2.61423224e+124
 9.97331397e+164
 4.05365077e+161
 3.52735800e+184
 3.82887744e+167
 1.41556536e+115
 1.90197754e+117
 2.01482732e+128
 8.09849277e+177
 2.73252911e+259
 3.79652174e+186
 1.92059081e+175
 1.83114669e+184
 9.71170357e+232
 1.01719627e+165
 6.22426432e+154
 3.86178199e+176
 1.08491700e+150
 7.16201659e+163
 6.69446999e+141
 7.26637698e+156
 5.62151374e+187
 1.08216319e+201
 3.50024432e+175
 4.05260804e+129
 5.31598862e+145
 2.42523032e+154
 1.18144459e+157
 1.30802546e+204
 4.93188483e+199
 1.49079748e+129
 4.95688161e+148
 Inf
 2.95675912e+144
 5.09287474e+89
 4.06090833e+119
 2.36570904e+152
 7.71831242e+132
 3.93878750e+105
 4.52236553e+84
 9.30211583e+112
 1.30596073e+134
 7.38578719e+118
 9.76341066e+119
 7.34742783e+99
 1.19358219e+103
 Inf
 6.51440019e-06
 2.65977145e+155
 1.05384123e+128
 3.13380315e+120
 1.13704358e+135
 2.36130939e+135
 2.77011858e+156
 1.00795746e+145
 1.07914813e+115
 1.66656878e+150
 1.57864759e+147
 2.24647752e+123
 4.94835901e+148
 2.05033267e+164
 2.79676868e+138
 4.38471530e+144
 7.39039765e+142
 4.47734628e+136
 2.08240006e+148
 1.16742236e+160
 1.14351463e+168
 Inf
 Inf
 6.51439987e-06
 6.51442749e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51425953e-06
 6.51449689e-06
 6.51470671e-06
 Inf
 9.34074711e+282
 1.85733979e+169
 1.58293512e+269
 Inf
 Inf
 1.72127928e+206
 Inf
 9.76953494e+288
 1.03496713e+229
 4.19863945e+287
 Inf
 6.51421146e-06
 6.51451946e-06
 6.51443635e-06
 6.51455705e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51428884e-06
 6.51452328e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51411844e-06
 6.51455415e-06
 Inf
 Inf
 6.51425177e-06
 6.51457111e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51395051e-06
 6.51465416e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.03949946e+226
 1.29835629e+139
 3.65233915e+237
 1.85047336e+169
 1.66169902e+123
 1.21826506e+265
 6.51382110e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 8.96717636e+284
 4.55217551e+141
 3.45967280e+175
 5.62491157e+169
 2.43565068e+161
 7.71342770e+233
 1.12672391e+188
 7.47234817e+205
 3.56466346e+260
 1.25459485e+146
 4.39218661e+144
 4.72634472e+191
 1.93003448e+157
 8.53755338e+165
 4.17527312e+180
 2.81729937e+181
 1.05702764e+175
 2.64878795e+124
 3.15075600e+133
 1.45220589e+161
 2.39909014e+177
 Inf
 Inf
 9.97724141e+185
 2.21610735e+167
 3.66492055e+182
 3.09347913e+194
 1.70809909e+173
 1.27479971e+105
 7.04561665e+115
 9.94348571e+150
 1.99258273e+122
 8.30647816e+116
 3.92500941e+105
 7.50096827e+110
 6.59749902e+122
 2.51621720e+117
 4.34133237e+112
 1.54929268e+106
 1.91412818e+124
 5.95195530e+153
 5.29557083e+160
 1.14367054e+168
 1.28212628e+144
 7.70588104e+132
 1.79079724e+118
 2.58800032e+91
 3.23084950e+97
 1.48602118e+152
 1.33410756e+183
 1.08597826e+150
 1.30002554e+177
 1.97688316e+192
 1.50494010e+163
 7.92280253e+129
 4.01965655e+161
 1.08028105e+238
 1.09264237e+150
 2.18801895e+114
 5.62444926e+126
 7.78554362e+126
 7.78659108e+126
 5.92218619e+152
 5.46493463e+208
 6.28864673e+277
 1.20495879e+223
 4.46482240e+125
 7.11869702e+108
 1.24309181e+125
 1.58354189e+155
 1.17958766e+180
 1.36184517e+148
 2.26467537e+199
 4.97923600e+198
 2.93142400e+144
 1.31845623e+185
 1.34324656e+183
 3.65528268e+122
 3.89056255e+109
 5.59920719e+120
 2.40319256e+147
 2.85021839e+114
 1.22418341e+97
 7.47618579e+120
 4.20603786e+163
 7.72706819e+148
 1.07987402e+115
 2.92850659e+172
 8.39000351e+239
 1.85089109e+169
 2.56875762e+155
 1.53869798e+213
 9.01232766e+282
 1.46465196e+225
 3.46282773e+276
 2.66583811e+297
 5.84997960e+230
 2.60161906e+185
 1.47298958e+205
 5.92385054e+245
 3.12073927e+194
 4.41827272e+188
 2.74197013e+233
 6.61209455e+219
 2.72634986e+217
 5.36797125e+181
 9.50902466e+183
 8.90291519e+213
 8.86915325e+160
 2.37367942e+135
 5.93636157e+152
 Inf
 Inf
 3.81376600e+237
 1.25847181e+265
 Inf
 5.25773586e+227
 Inf
 Inf
 5.89972435e+190
 1.52234774e+152
 1.48605029e+236
 Inf
 Inf
 Inf
 1.28362156e+215
 4.50303290e+149
 3.41135771e+135
 4.13303559e+123
 5.54390793e+118
 1.09392631e+117
 4.78167265e+116
 6.44612498e+136
 6.05719895e+125
 4.97186945e+109
 1.05400426e+156
 1.64492554e+220
 4.48806861e+216
 6.59669395e+219
 1.04538050e+219
 7.93451303e+180
 5.94202394e+164
 1.48712848e+142
 1.23583366e+146
 6.20019591e+154
 1.59552833e+155
 7.17029776e+163
 3.48815752e+193
 Inf
 3.09873874e+215
 2.59685180e+185
 9.82207414e+185
 1.49186060e+142
 5.12730988e+235
 6.51368663e-06
 Inf
 1.08067297e+268
 Inf
 6.51398279e-06
 6.51454871e-06
 Inf
 Inf
 Inf
 Inf
 5.50893342e+196
 4.92614486e+199
 Inf
 Inf
 Inf
 1.62860506e+210
 5.52035878e+173
 1.85765702e+284
 3.49112426e+276
 2.84475696e+178
 7.02157567e+189
 7.21777335e+250
 4.51758193e+149
 7.15082911e+108
 1.20980252e+123
 1.10101354e+143
 3.10896522e+157
 1.06854675e+93
 2.60604032e+82
 5.39840131e+119
 1.18887153e+131
 2.45877041e+121
 1.13734353e+135
 6.11840940e+137
 1.30289823e+138
 1.00400287e+145
 4.97727136e+165
 2.21115005e+188
 6.69121166e+144
 4.41387250e+117
 5.60371701e+129
 7.24270525e+156
 5.42209828e+202
 Inf
 2.13825092e+224
 1.79514697e+174
 Inf
 Inf
 7.60365080e+215
 4.99015984e+142
 2.38121018e+152
 Inf
 Inf
 1.16848263e+212
 6.70750462e+249
 3.47619703e+276
 3.71595021e+182
 7.02084991e+182
 1.54874936e+213
 Inf
 Inf
 Inf
 3.10770140e+215
 Inf
 7.60366986e+298
 1.47048394e+187
 1.18821005e+157
 1.58347586e+231
 6.41998521e+262
 5.41444620e+145
 5.71030436e+147
 6.51326699e-06
 6.52134991e-06
 6.52789123e-06
 6.53070839e-06
 6.52512673e-06
 6.51996331e-06
 6.51699252e-06
 6.51552411e-06
 6.51462720e-06
 6.51455010e-06
 6.51501529e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51410579e-06
 6.51437475e-06
 6.51488153e-06
 Inf
 Inf
 6.51433318e-06
 6.51463338e-06
 Inf
 Inf
 6.51425609e-06
 6.51457078e-06
 Inf
 6.51432009e-06
 6.51443108e-06
 Inf
 6.96057086e+184
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51417921e-06
 6.51443106e-06
 6.51482722e-06
 6.51592265e-06
 6.51545949e-06
 Inf
 Inf
 1.66549625e+272
 1.68773135e+218
 Inf
 Inf
 5.25835889e+227
 4.08260839e+268
 4.22341610e+287
 1.02412137e+226
 8.75809611e+206
 Inf
 Inf
 4.85396305e+265
 5.43901866e+170
 4.40499377e+281
 5.26241627e+235
 1.22668590e+164
 1.49131845e+236
 Inf
 Inf
 1.94897416e+227
 1.01727908e+226
 3.46334405e+276
 Inf
 1.72685399e+193
 3.44066912e+276
 Inf
 Inf
 Inf
 Inf
 Inf
 5.29326481e+178
 Inf
 Inf
 Inf
 4.13784774e+285
 Inf
 6.51392318e-06
 Inf
 1.86460748e+266
 4.48823990e+281
 Inf
 Inf
 6.51424524e-06
 6.51449116e-06
 6.51460608e-06
 6.51450366e-06
 Inf
 Inf
 6.51404781e-06
 Inf
 3.64041084e+184
 2.07754362e+129
 5.75361834e+195
 2.82531655e+239
 6.35332570e+234
 Inf
 Inf
 3.83700933e+186
 1.92994305e+182
 1.86219571e+286
 Inf
 Inf
 Inf
 1.42044498e+293
 2.28412176e+280
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51443562e-06
 6.51590970e-06
 6.51620903e-06
 6.51699319e-06
 6.51786851e-06
 6.51994745e-06
 6.52193092e-06
 6.52053882e-06
 6.51736320e-06
 6.51591594e-06
 6.51677711e-06
 6.51986628e-06
 6.51828217e-06
 6.51612825e-06
 6.51650915e-06
 6.51840154e-06
 6.51725222e-06
 6.51647140e-06
 6.51840279e-06
 6.51936593e-06
 6.51715035e-06
 6.51585716e-06
 6.51576941e-06
 6.49278536e-06
 6.51552218e-06
 6.51524425e-06
 6.51511261e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51403064e-06
 6.51636534e-06
 6.51984686e-06
 6.52158100e-06
 6.52081660e-06
 6.51957855e-06
 6.51877191e-06
 6.51933278e-06
 6.51916734e-06
 6.51937755e-06
 6.52011163e-06
 6.52174048e-06
 6.52414476e-06
 6.52218579e-06
 6.52094310e-06
 6.52053001e-06
 6.52116271e-06
 6.52055340e-06
 6.52011901e-06
 6.52160971e-06
 6.52175846e-06
 6.52318816e-06
 6.52280861e-06
 6.52202345e-06
 6.52326364e-06
 6.52375614e-06
 6.52051510e-06
 6.51951017e-06
 6.51906964e-06
 6.51735707e-06
 6.51728335e-06
 6.51717081e-06
 6.51744404e-06
 6.51760315e-06
 6.51748037e-06
 6.51746649e-06
 6.51655217e-06
 6.51626392e-06
 6.51733421e-06
 6.51866328e-06
 6.51780314e-06
 6.51704389e-06
 6.51847597e-06
 6.51841831e-06
 6.51667359e-06
 6.51554364e-06
 6.51538587e-06
 6.51619127e-06
 6.51676757e-06
 6.51750831e-06
 6.51647655e-06
 6.51543912e-06
 6.51513849e-06
 6.51582828e-06
 6.51675915e-06
 6.51652694e-06
 6.51582627e-06
 6.51569837e-06
 6.51618600e-06
 6.51648258e-06
 6.51657389e-06
 6.51802209e-06
 6.52100476e-06
 6.51982642e-06
 6.51755200e-06
 6.51654337e-06
 6.51787924e-06
 6.51901076e-06
 6.51740557e-06
 6.51694320e-06
 6.51578638e-06
 6.51501089e-06
 6.51612588e-06
 6.51721109e-06
 6.51702039e-06
 6.51595348e-06
 6.51517881e-06
 6.51495759e-06
 6.51514595e-06
 Inf
 9.73469447e+52
 3.84799257e+99
 6.51823690e-06
 6.52093098e-06
 6.51835973e-06
 6.51939170e-06
 6.52102270e-06
 6.51886723e-06
 6.51964239e-06
 6.52319942e-06
 6.52264432e-06
 6.52050586e-06
 6.51878642e-06
 6.51792689e-06
 6.51682618e-06
 6.51554919e-06
 6.51477794e-06
 6.51583925e-06
 6.51613224e-06
 6.51539912e-06
 6.51501415e-06
 6.51566565e-06
 6.51565487e-06
 6.51558005e-06
 6.51632092e-06
 6.51686594e-06
 6.51595544e-06
 6.51526908e-06
 6.51551019e-06
 6.51723355e-06
 6.51685578e-06
 6.51564365e-06
 Inf
 6.51425510e-06
 6.51470325e-06
 6.51475469e-06
 6.51439343e-06
 6.51470518e-06
 6.51445032e-06
 6.51484433e-06
 6.51562674e-06
 6.51594455e-06
 6.51604333e-06
 6.51597021e-06
 6.51578935e-06
 6.51661003e-06
 6.51658460e-06
 6.51572263e-06
 6.51659852e-06
 6.51773691e-06
 6.51656886e-06
 6.51575544e-06
 6.51607277e-06
 6.51637632e-06
 6.51632776e-06
 6.51656423e-06
 6.51696117e-06
 6.51652290e-06
 6.51591684e-06
 6.51574870e-06
 6.51687500e-06
 6.51784474e-06
 6.51645930e-06
 6.51593482e-06
 6.51666051e-06
 6.51759438e-06
 6.51669743e-06
 6.51585337e-06
 6.51555027e-06
 6.51523533e-06
 6.51488588e-06
 6.51476667e-06
 6.51608439e-06
 6.51638045e-06
 6.51553222e-06
 6.51553701e-06
 6.51601684e-06
 6.51603689e-06
 6.51699840e-06
 6.51649121e-06
 6.51550545e-06
 Inf
 Inf
 Inf
 6.51439271e-06
 6.51447547e-06
 Inf
 6.51420747e-06
 6.51473053e-06
 1.12155381e+75
 1.56387452e+72
 6.51202998e-06
 6.51456912e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51419396e-06
 6.51454319e-06
 6.51455563e-06
 6.51514150e-06
 6.51529724e-06
 6.51497890e-06
 6.51487628e-06
 1.81859214e+119
 1.29519769e+140
 6.51350988e-06
 6.51559814e-06
 6.51525447e-06
 6.51494089e-06
 6.51511334e-06
 6.51550951e-06
 6.51552908e-06
 6.51540899e-06
 6.51546868e-06
 6.51545795e-06
 6.51538286e-06
 6.51553975e-06
 6.51536898e-06
 6.51529390e-06
 6.51570626e-06
 6.51565862e-06
 6.51540926e-06
 6.51512356e-06
 6.51483931e-06
 6.51462230e-06
 6.51480798e-06
 6.51534346e-06
 6.51591101e-06
 6.51570608e-06
 6.51532443e-06
 6.51547684e-06
 6.51602790e-06
 6.51558899e-06
 Inf
 6.51424487e-06
 6.51561919e-06
 6.51646664e-06
 6.51600727e-06
 6.51569814e-06
 6.51544269e-06
 6.51515005e-06
 6.51493466e-06
 Inf
 6.51423138e-06
 6.51451680e-06
 Inf
 Inf
 Inf
 6.51404167e-06
 6.51456282e-06
 Inf
 Inf
 6.51418662e-06
 Inf
 Inf
 6.51420794e-06
 6.51471859e-06
 Inf
 6.51443032e-06
 6.51452175e-06
 6.51485891e-06
 6.51567203e-06
 Inf
 6.51434464e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51437423e-06
 6.51447972e-06
 6.51453991e-06
 Inf
 Inf
 Inf
 Inf
 6.51424046e-06
 Inf
 Inf
 Inf
 6.11201799e+246
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51428530e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51430598e-06
 6.51448533e-06
 Inf
 Inf
 Inf
 3.74710000e+294
 7.03852727e+266
 Inf
 6.51408865e-06
 6.51439960e-06
 6.51486356e-06
 Inf
 Inf
 6.91254617e+249
 2.00836201e+282
 Inf
 6.51434353e-06
 Inf
 Inf
 Inf
 6.51389107e-06
 6.51456563e-06
 Inf
 Inf
 Inf
 6.51421421e-06
 Inf
 Inf
 Inf
 2.23188614e+258
 Inf
 6.51392156e-06
 6.51464885e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.32220370e+235
 Inf
 Inf
 Inf
 6.51411993e-06
 6.51461517e-06
 Inf
 Inf
 Inf
 Inf
 6.51429373e-06
 6.51473658e-06
 Inf
 6.51433167e-06
 6.51467254e-06
 6.51473857e-06
 6.51470886e-06
 6.51473268e-06
 Inf
 Inf
 6.51410048e-06
 6.51463930e-06
 Inf
 Inf
 Inf
 2.80824643e+221
 2.36183524e+191
 6.51343485e-06
 6.51462825e-06
 Inf
 Inf
 6.51406836e-06
 Inf
 1.94833837e+286
 Inf
 6.51410047e-06
 6.51449555e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51432918e-06
 Inf
 4.79533559e+274
 Inf
 Inf
 6.51442937e-06
 Inf
 Inf
 2.70353517e+252
 Inf
 3.77029082e+237
 Inf
 6.51429402e-06
 Inf
 3.58211471e+193
 1.59741400e+231
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51437368e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51408639e-06
 Inf
 6.55038753e+269
 5.97825494e+245
 Inf
 6.51435094e-06
 Inf
 6.51415975e-06
 6.51458310e-06
 Inf
 4.83198589e+261
 Inf
 6.51421917e-06
 Inf
 6.51418683e-06
 6.51596258e-06
 6.51788432e-06
 6.51737578e-06
 6.51696819e-06
 6.51740261e-06
 6.51787963e-06
 6.51737912e-06
 6.51655502e-06
 6.51709456e-06
 6.51827359e-06
 6.51779116e-06
 6.51647109e-06
 6.51617263e-06
 6.51764030e-06
 6.51719874e-06
 6.51598049e-06
 6.51571610e-06
 6.51589654e-06
 6.51569460e-06
 6.51576122e-06
 6.51584309e-06
 6.51547618e-06
 6.51520669e-06
 6.51524881e-06
 6.51561306e-06
 6.51662615e-06
 6.51633528e-06
 6.51575384e-06
 6.51669789e-06
 6.51717618e-06
 6.51637704e-06
 6.51590290e-06
 6.51596938e-06
 6.51607318e-06
 6.51580010e-06
 6.51586774e-06
 6.51690462e-06
 6.51626331e-06
 6.51592494e-06
 6.51795864e-06
 6.51801717e-06
 6.51769836e-06
 6.51712573e-06
 6.51684489e-06
 6.51756919e-06
 6.51706961e-06
 6.51730861e-06
 6.51758293e-06
 6.51654735e-06
 6.51624504e-06
 6.51739148e-06
 6.51773309e-06
 6.51706182e-06
 6.51841943e-06
 6.51873974e-06
 6.51786541e-06
 6.51768301e-06
 6.51658905e-06
 6.51666201e-06
 6.51762400e-06
 6.51744699e-06
 6.51723492e-06
 6.51850136e-06
 6.52011734e-06
 6.51939118e-06
 6.51852575e-06
 6.51727677e-06
 6.51638421e-06
 6.51817293e-06
 6.52098604e-06
 6.51881044e-06
 6.51749905e-06
 6.51771633e-06
 6.51712923e-06
 6.51570146e-06
 6.51509913e-06
 6.51515741e-06
 6.51507152e-06
 6.51437950e-06
 Inf
 Inf
 6.51428205e-06
 6.51497674e-06
 Inf
 Inf
 6.51397420e-06
 6.51458960e-06
 6.51458823e-06
 6.51477890e-06
 6.51463276e-06
 6.51480862e-06
 Inf
 6.75777166e+242
 3.04467370e+253
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51409431e-06
 6.51463856e-06
 6.51453741e-06
 6.51448434e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.12946229e+282
 Inf
 Inf
 Inf
 Inf
 6.51416541e-06
 6.51659571e-06
 6.52973003e-06
 6.53367449e-06
 6.53339795e-06
 6.52800022e-06
 6.52113500e-06
 6.51803064e-06
 6.51699100e-06
 6.51600247e-06
 6.51536278e-06
 6.51503163e-06
 6.51481493e-06
 6.51456603e-06
 Inf
 Inf
 6.51420065e-06
 6.51457548e-06
 Inf
 Inf