6.51453983e-06
 Inf
 6.51425672e-06
 6.51458195e-06
 Inf
 Inf
 Inf
 6.51444260e-06
 Inf
 Inf
 6.51422073e-06
 6.51492242e-06
 6.51520325e-06
 6.51507714e-06
 6.51455682e-06
 6.51439051e-06
 6.51470489e-06
 6.51446581e-06
 6.51457067e-06
 6.51518197e-06
 6.51515123e-06
 6.51472207e-06
 6.51437871e-06
 6.51476459e-06
 6.51487377e-06
 6.51474574e-06
 6.51457130e-06
 6.51465770e-06
 6.51475156e-06
 6.51468129e-06
 6.51466174e-06
 6.51473194e-06
 6.51535652e-06
 6.51584477e-06
 6.51865330e-06
 6.51866674e-06
 6.51855593e-06
 6.51935721e-06
 6.51965133e-06
 6.51749673e-06
 6.51581543e-06
 6.51519553e-06
 6.51540842e-06
 6.51571813e-06
 6.51551549e-06
 6.51549680e-06
 6.51609661e-06
 6.51604191e-06
 6.51544490e-06
 6.51507340e-06
 6.51517617e-06
 6.51516927e-06
 6.51494954e-06
 6.51503834e-06
 6.51542669e-06
 6.51564791e-06
 6.51542460e-06
 Inf
 4.98789513e+211
 7.92720187e+180
 Inf
 6.51403184e-06
 Inf
 Inf
 Inf
 Inf
 6.51441197e-06
 6.51438375e-06
 6.51462692e-06
 6.51492127e-06
 Inf
 Inf
 Inf
 Inf
 6.51452175e-06
 Inf
 6.51430730e-06
 6.51445640e-06
 6.51466496e-06
 6.51465473e-06
 6.51472734e-06
 6.51504636e-06
 6.51504461e-06
 6.51453513e-06
 6.51463778e-06
 6.51494520e-06
 Inf
 6.51442665e-06
 6.51457231e-06
 6.51456722e-06
 6.51452134e-06
 6.51447605e-06
 6.51469964e-06
 6.51461721e-06
 6.51459190e-06
 6.51468776e-06
 6.51459142e-06
 6.51463174e-06
 6.51446530e-06
 6.51468344e-06
 6.51475721e-06
 6.51476142e-06
 6.51491530e-06
 6.51483009e-06
 6.51514397e-06
 6.51578429e-06
 6.51567463e-06
 6.51525208e-06
 6.51506378e-06
 6.51512229e-06
 6.51520058e-06
 6.51530390e-06
 6.51520441e-06
 6.51515412e-06
 6.51515862e-06
 6.51516050e-06
 6.51538217e-06
 6.51521587e-06
 6.51496084e-06
 6.51525847e-06
 6.51540013e-06
 6.51513091e-06
 6.51478511e-06
 6.51459306e-06
 6.51493601e-06
 6.51467113e-06
 6.51482678e-06
 6.51521237e-06
 6.51499482e-06
 6.51468513e-06
 6.51449433e-06
 6.51517806e-06
 6.51520460e-06
 6.51472189e-06
 6.51515959e-06
 6.51548924e-06
 6.51517773e-06
 6.51461323e-06
 6.51569663e-06
 6.51553469e-06
 6.51540279e-06
 6.51537316e-06
 6.51529713e-06
 6.51546025e-06
 6.51520593e-06
 6.51494352e-06
 6.51562430e-06
 6.51567731e-06
 6.51534307e-06
 6.51521361e-06
 6.51535260e-06
 6.51586703e-06
 6.51592445e-06
 6.51565463e-06
 6.51597499e-06
 6.51675678e-06
 6.51652799e-06
 6.51754649e-06
 6.52048012e-06
 6.52122387e-06
 6.51962631e-06
 6.52036674e-06
 6.52260211e-06
 6.52157408e-06
 6.52650762e-06
 6.52880816e-06
 6.52199708e-06
 6.52017747e-06
 6.52172080e-06
 6.52185263e-06
 6.51930841e-06
 6.51918629e-06
 6.52124245e-06
 6.52360222e-06
 6.52424368e-06
 6.52180094e-06
 6.52127720e-06
 6.52251700e-06
 6.52158553e-06
 6.51996649e-06
 6.52113676e-06
 6.52195366e-06
 6.52239629e-06
 6.52207614e-06
 6.52342932e-06
 6.52216792e-06
 6.51945763e-06
 6.51860881e-06
 6.51809557e-06
 6.51752751e-06
 6.51647924e-06
 6.51702141e-06
 6.51930848e-06
 6.51773724e-06
 6.51693459e-06
 6.51866739e-06
 6.51803249e-06
 6.51757668e-06
 6.51840288e-06
 6.51837833e-06
 6.51881101e-06
 6.52109007e-06
 6.52281631e-06
 6.52270723e-06
 6.52305283e-06
 6.52213181e-06
 6.52076646e-06
 6.52108907e-06
 6.52103582e-06
 6.52122077e-06
 6.52184530e-06
 6.51949945e-06
 6.51655436e-06
 6.51540035e-06
 6.51576784e-06
 6.51650125e-06
 6.51685099e-06
 6.51782489e-06
 6.51760582e-06
 6.51694358e-06
 6.51635217e-06
 6.51604967e-06
 6.51631674e-06
 6.51637948e-06
 6.51596412e-06
 6.51555472e-06
 6.51583825e-06
 6.51714144e-06
 6.51680936e-06
 6.51599317e-06
 6.51606009e-06
 6.51648553e-06
 6.51620959e-06
 6.51574562e-06
 6.51648713e-06
 6.51707554e-06
 6.51646669e-06
 6.51633035e-06
 6.51629037e-06
 6.51575137e-06
 6.51539093e-06
 6.51608678e-06
 6.51754251e-06
 6.51706470e-06
 6.51566071e-06
 6.51487589e-06
 6.51533899e-06
 6.51589080e-06
 6.51546143e-06
 6.51538157e-06
 6.51663668e-06
 6.51615324e-06
 6.51532182e-06
 6.51488957e-06
 6.51468656e-06
 6.51475467e-06
 6.51498333e-06
 6.51467175e-06
 6.51453656e-06
 6.51455648e-06
 6.51474622e-06
 6.51492045e-06
 6.51472662e-06
 6.51480228e-06
 Inf
 6.51416718e-06
 6.51463286e-06
 6.51488351e-06
 6.51451229e-06
 6.51582007e-06
 6.52213697e-06
 6.52227360e-06
 6.52319433e-06
 6.52412580e-06
 6.52208206e-06
 6.52099068e-06
 6.52072597e-06
 6.52087497e-06
 6.51968592e-06
 6.51911606e-06
 6.52033918e-06
 6.52136374e-06
 6.52079494e-06
 6.51994644e-06
 6.52059270e-06
 6.52091200e-06
 6.51929484e-06
 6.52000254e-06
 6.52122116e-06
 6.52002997e-06
 6.52112859e-06
 6.51986860e-06
 6.51746509e-06
 6.51645898e-06
 6.51595670e-06
 6.51574290e-06
 6.51554541e-06
 6.51579154e-06
 6.51687731e-06
 6.51671280e-06
 6.51645167e-06
 6.51660532e-06
 6.51637098e-06
 6.51591856e-06
 6.51533579e-06
 6.51496564e-06
 6.51537211e-06
 6.51632000e-06
 6.51679260e-06
 6.51581629e-06
 6.51573216e-06
 6.51709160e-06
 6.51673460e-06
 6.51655536e-06
 6.51716458e-06
 6.51770021e-06
 6.51696866e-06
 6.51716862e-06
 6.51769355e-06
 6.51688028e-06
 6.51592661e-06
 6.51524853e-06
 6.51483538e-06
 6.51465560e-06
 6.51458110e-06
 6.51480354e-06
 6.51498758e-06
 6.51541439e-06
 6.51530991e-06
 6.51491958e-06
 6.51486047e-06
 6.51507456e-06
 6.51494177e-06
 6.51468681e-06
 6.51531150e-06
 6.51563658e-06
 6.51549994e-06
 6.51592167e-06
 6.51741630e-06
 6.51695732e-06
 6.51588065e-06
 6.51915837e-06
 6.52017171e-06
 6.51679772e-06
 6.51587500e-06
 6.51600290e-06
 6.51680630e-06
 6.51697195e-06
 6.51626323e-06
 6.51615229e-06
 6.51713323e-06
 6.51694539e-06
 6.51616460e-06
 6.51613243e-06
 6.51599618e-06
 6.51553274e-06
 6.51528562e-06
 6.51529719e-06
 6.51549955e-06
 6.51593404e-06
 6.51618305e-06
 6.51663052e-06
 6.51668393e-06
 6.51623594e-06
 6.51587076e-06
 6.51635187e-06
 6.51656550e-06
 6.51655059e-06
 6.51655098e-06
 6.51584079e-06
 6.51534580e-06
 6.51556565e-06
 6.51675560e-06
 6.51668992e-06
 6.51640548e-06
 6.51713807e-06
 6.51751167e-06
 6.51731296e-06
 6.51606670e-06
 6.51539231e-06
 6.51630630e-06
 6.51629526e-06
 6.51569709e-06
 6.51574545e-06
 6.51589492e-06
 6.51572621e-06
 6.51532939e-06
 6.51496618e-06
 6.51476438e-06
 6.51486334e-06
 6.51472562e-06
 6.51454966e-06
 6.51505253e-06
 6.51508630e-06
 6.51488325e-06
 6.51517021e-06
 6.51546407e-06
 6.51548294e-06
 6.51522443e-06
 6.51497683e-06
 6.51531367e-06
 6.51521862e-06
 6.51499535e-06
 6.51537284e-06
 6.51570211e-06
 6.51563231e-06
 6.51544574e-06
 6.51602641e-06
 6.48860020e-06
 6.51597832e-06
 6.51620029e-06
 6.51682169e-06
 6.51630826e-06
 6.51601015e-06
 6.51761768e-06
 6.51899884e-06
 6.51743363e-06
 6.51598183e-06
 6.51567802e-06
 6.51645231e-06
 6.51658615e-06
 6.51585944e-06
 6.51592527e-06
 6.51627173e-06
 6.51620237e-06
 6.51634451e-06
 6.51689719e-06
 6.51765648e-06
 6.51701847e-06
 6.51638721e-06
 6.51646072e-06
 6.51616868e-06
 6.51565325e-06
 6.51625208e-06
 6.51687315e-06
 6.51640466e-06
 6.51651027e-06
 6.51699736e-06
 6.51714459e-06
 6.51699058e-06
 6.51646072e-06
 6.51633695e-06
 6.51720299e-06
 6.51681228e-06
 6.51616242e-06
 6.51691626e-06
 6.48348676e-06
 6.51677488e-06
 6.51679395e-06
 6.51730127e-06
 6.51763093e-06
 6.51657547e-06
 6.51547610e-06
 6.51489661e-06
 6.51467745e-06
 6.51465529e-06
 6.51441520e-06
 6.51489187e-06
 6.51510936e-06
 6.51493637e-06
 6.51508234e-06
 6.51540660e-06
 6.51521728e-06
 6.51487086e-06
 6.51490373e-06
 6.51521172e-06
 6.51510821e-06
 6.51476716e-06
 6.51541910e-06
 6.51625709e-06
 6.51625585e-06
 6.51668408e-06
 6.51636671e-06
 6.51664330e-06
 6.52120964e-06
 6.52019035e-06
 6.51703693e-06
 6.51676693e-06
 6.51672124e-06
 6.51606539e-06
 6.51657707e-06
 6.51674662e-06
 6.51560715e-06
 6.51473594e-06
 6.51572030e-06
 6.51583849e-06
 6.51581222e-06
 6.51624539e-06
 6.51657733e-06
 6.51626479e-06
 6.51572962e-06
 6.51633776e-06
 6.51772291e-06
 6.51635856e-06
 6.51527911e-06
 6.51473633e-06
 6.51501299e-06
 6.51500322e-06
 6.51545097e-06
 6.51610664e-06
 6.51587842e-06
 6.51526635e-06
 6.51488114e-06
 6.51580760e-06
 6.51646630e-06
 6.51633832e-06
 6.51558532e-06
 6.51583326e-06
 6.51602606e-06
 6.51540037e-06
 6.51560869e-06
 6.51679586e-06
 6.51629760e-06
 6.51585818e-06
 6.51567866e-06
 6.51543623e-06
 6.51534422e-06
 6.51530130e-06
 6.49855264e-06
 6.51562982e-06
 6.51587667e-06
 6.51564055e-06
 6.51566420e-06
 6.51545751e-06
 6.51505697e-06
 6.51474671e-06
 6.51471465e-06
 6.51507591e-06
 6.51511109e-06
 6.51504998e-06
 6.51537068e-06
 6.51541130e-06
 6.51510987e-06
 6.51504216e-06
 Inf
 6.51424076e-06
 6.51467746e-06
 6.51475444e-06
 6.52080035e-06
 6.53456141e-06
 6.52700108e-06
 6.52426259e-06
 6.52118174e-06
 6.51831049e-06
 6.51724564e-06
 6.51755585e-06
 6.51710663e-06
 6.51624825e-06
 6.51582164e-06
 6.51586180e-06
 6.51588503e-06
 6.51563234e-06
 6.51549332e-06
 6.51537041e-06
 6.51534704e-06
 6.51545060e-06
 6.51579930e-06
 6.51605180e-06
 6.51550126e-06
 6.51500440e-06
 6.51494205e-06
 6.51508344e-06
 6.51504163e-06
 6.51484295e-06
 6.51515949e-06
 6.51543710e-06
 6.51536234e-06
 6.51517347e-06
 6.51489147e-06
 6.51478639e-06
 6.51533001e-06
 6.51554000e-06
 6.51569105e-06
 6.51599973e-06
 6.51561128e-06
 6.51543362e-06
 6.51529183e-06
 6.51496557e-06
 6.51502812e-06
 6.51551529e-06
 6.51557377e-06
 6.51548163e-06
 6.51545700e-06
 6.51580808e-06
 6.51669775e-06
 6.51672371e-06
 6.51633389e-06
 6.51692766e-06
 6.51679066e-06
 6.51607980e-06
 6.51568080e-06
 6.51624782e-06
 6.51801076e-06
 6.51622598e-06
 6.51516297e-06
 6.51476440e-06
 6.51604561e-06
 6.51566560e-06
 6.51518591e-06
 6.51453075e-06
 6.51441679e-06
 6.51471721e-06
 6.51466422e-06
 6.51491989e-06
 6.51502311e-06
 6.51502795e-06
 6.51515977e-06
 6.51506929e-06
 6.51496226e-06
 6.51483753e-06
 6.51454469e-06
 Inf
 Inf
 Inf
 6.51431047e-06
 6.51463912e-06
 6.51438869e-06
 6.51486704e-06
 6.51502182e-06
 Inf
 Inf
 6.51446383e-06
 6.51458699e-06
 6.51446897e-06
 6.51448563e-06
 6.51458309e-06
 6.51476685e-06
 6.51522927e-06
 6.51508839e-06
 6.51474735e-06
 6.51485706e-06
 6.51496679e-06
 Inf
 6.51431535e-06
 6.51480923e-06
 6.50105883e-06
 6.51498232e-06
 6.51487669e-06
 6.51480891e-06
 Inf
 Inf
 6.51421746e-06
 6.51485301e-06
 6.51508773e-06
 Inf
 6.51432941e-06
 6.51491813e-06
 6.51511126e-06
 6.51496748e-06
 6.51484323e-06
 6.51490104e-06
 Inf
 6.51433998e-06
 6.51505759e-06
 6.51511286e-06
 6.51476156e-06
 6.51456880e-06
 6.51468838e-06
 Inf
 6.51439386e-06
 6.51453317e-06
 6.51492844e-06
 Inf
 Inf
 6.51436005e-06
 6.51491492e-06
 Inf
 Inf
 Inf
 Inf
 6.51487184e-06
 6.51714629e-06
 6.51582566e-06
 6.51472197e-06
 Inf
 6.51443981e-06
 6.51442493e-06
 6.51473923e-06
 Inf
 6.51417492e-06
 6.51478053e-06
 6.51506551e-06
 6.51500803e-06
 6.51491445e-06
 6.51524636e-06
 6.51522359e-06
 6.51486632e-06
 6.51468666e-06
 6.51480450e-06
 6.51486745e-06
 6.50850195e-06
 6.51462644e-06
 6.51483920e-06
 6.51488675e-06
 6.51457134e-06
 6.51444771e-06
 6.51475176e-06
 6.51491076e-06
 6.51482979e-06
 Inf
 Inf
 Inf
 Inf
 6.51431835e-06
 Inf
 Inf
 1.22739170e+255
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51434427e-06
 6.51452181e-06
 6.51463323e-06
 6.51460847e-06
 Inf
 2.80335718e+273
 Inf
 6.51431203e-06
 Inf
 Inf
 6.51392839e-06
 6.51450354e-06
 6.51455422e-06
 6.51449143e-06
 6.51482483e-06
 6.51455368e-06
 6.51469519e-06
 6.51479915e-06
 6.51461577e-06
 Inf
 Inf
 Inf
 6.51430646e-06
 Inf
 Inf
 Inf
 6.51413098e-06
 Inf
 Inf
 6.51423681e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51423247e-06
 6.51466561e-06
 6.51477833e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51414416e-06
 6.51466119e-06
 6.51478738e-06
 6.51491156e-06
 Inf
 6.51442270e-06
 6.51454856e-06
 6.51457062e-06
 6.51446330e-06
 6.51484323e-06
 6.51473726e-06
 6.51483031e-06
 Inf
 6.51428978e-06
 6.51439164e-06
 6.51485453e-06
 Inf
 Inf
 Inf
 6.51449270e-06
 6.51445524e-06
 6.51450353e-06
 Inf
 6.51439019e-06
 6.51450204e-06
 6.51494828e-06
 6.51449978e-06
 6.51447178e-06
 Inf
 6.51435982e-06
 6.51456090e-06
 6.51476226e-06
 Inf
 Inf
 6.51417627e-06
 6.51450921e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51431007e-06
 6.51448526e-06
 6.51457253e-06
 6.51464311e-06
 6.51454397e-06
 6.51478013e-06
 6.51505677e-06
 6.51497402e-06
 6.51482543e-06
 6.51459575e-06
 6.51473864e-06
 6.51475580e-06
 6.51448504e-06
 6.51454645e-06
 6.51482547e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51430752e-06
 6.51450763e-06
 Inf
 Inf
 6.51440238e-06
 6.51437265e-06
 6.51477999e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51406675e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51410443e-06
 6.51463691e-06
 7.18292946e+209
 3.69086310e+182
 Inf
 Inf
 Inf
 6.51430883e-06
 Inf
 Inf
 Inf
 1.14152906e+274
 Inf
 Inf
 Inf
 Inf
 6.51435805e-06
 6.51450283e-06
 Inf
 Inf
 6.51399587e-06
 Inf
 Inf
 Inf
 6.51409444e-06
 6.51436112e-06
 6.51542902e-06
 6.51693917e-06
 6.51779066e-06
 6.51709491e-06
 6.51611438e-06
 6.51589630e-06
 6.51553958e-06
 6.51537564e-06
 6.51646211e-06
 6.51698389e-06
 6.51660576e-06
 6.51618073e-06
 6.51623120e-06
 6.51636367e-06
 6.51587400e-06
 6.51571125e-06
 6.51658161e-06
 6.51787168e-06
 6.51792859e-06
 6.51657530e-06
 6.51628906e-06
 6.51655348e-06
 6.51593911e-06
 6.51559113e-06
 6.51597873e-06
 6.51627422e-06
 6.51598036e-06
 6.51626093e-06
 6.51587799e-06
 6.51528196e-06
 6.51452208e-06
 6.51510299e-06
 6.51535002e-06
 6.51536959e-06
 6.51573501e-06
 6.51574124e-06
 6.51548482e-06
 6.51514643e-06
 6.51486267e-06
 6.51450181e-06
 6.51473184e-06
 6.51568162e-06
 6.51575351e-06
 6.51612259e-06
 6.51733691e-06
 6.51662831e-06
 6.51671727e-06
 6.51839837e-06
 6.51799324e-06
 6.51719498e-06
 6.51614273e-06
 6.51529611e-06
 Inf
 Inf
 6.51419298e-06
 6.51472257e-06
 6.51489829e-06
 6.51455071e-06
 6.51468271e-06
 Inf
 Inf
 Inf
 Inf
 6.51439841e-06
 6.51450944e-06
 6.51673059e-06
 6.51768787e-06
 6.51698299e-06
 6.51578655e-06
 6.51515579e-06
 6.51551745e-06
 6.51637547e-06
 6.51760969e-06
 6.51655764e-06
 6.51546265e-06
 Inf
 Inf
 6.51434436e-06
 6.51480813e-06
 Inf
 6.51425639e-06
 6.51443670e-06
 6.51467502e-06
 Inf
 1.07270420e+219
 2.31096311e+241
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51424242e-06
 6.51450915e-06
 Inf
 Inf
 6.51434303e-06
 6.51476829e-06
 Inf
 Inf
 6.51427886e-06
 3.72967583e+260
 1.07839274e+221
 Inf
 6.51437949e-06
 6.51441404e-06
 Inf
 6.51415136e-06
 6.51486726e-06
 Inf
 6.39377914e+243
 Inf
 6.51406156e-06
 6.51475588e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51429526e-06
 6.51449013e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 7.75504655e+229
 1.08897189e+201
 4.13165410e+255
 Inf
 Inf
 Inf
 Inf
 2.80072447e+259
 4.69619685e+274
 1.40618089e+228
 7.49359139e+166
 3.49052135e+193
 2.74269528e+259
 4.91327153e+211
 7.98694170e+251
 1.30339751e+261
 7.09757766e+293
 Inf
 Inf
 Inf
 Inf
 6.12062856e+244
 Inf
 Inf
 Inf
 Inf
 Inf
 7.13330797e+221
 4.54521438e+156
 2.55501486e+196
 7.13831208e+176
 4.93885494e+135
 8.78755871e+213
 Inf
 4.07794277e+285
 1.30850650e+261
 7.45375667e+186
 5.99568516e+152
 1.48633040e+236
 Inf
 1.11447449e+238
 1.53973770e+154
 2.62768495e+150
 3.30660583e+142
 9.92244648e+154
 1.37057049e+137
 4.06818990e+139
 1.88221979e+134
 4.07132671e+102
 4.27443596e+98
 5.15826893e+92
 6.09636332e+84
 4.87682523e+105
 1.88961055e+157
 5.60474828e+169
 3.38976933e+112
 3.11898091e+101
 1.85740904e+244
 Inf
 1.23165864e+112
 1.20493878e+77
 3.82261501e+95
 5.98147643e+125
 1.23057986e+146
 6.59606451e+249
 Inf
 2.45915854e+263
 6.56365178e+212
 Inf
 3.79871688e+147
 3.31857386e+121
 1.73443768e+119
 6.81672486e+241
 6.51371048e-06
 Inf
 2.32190991e+290
 Inf
 8.08819635e+134
 6.05460481e+125
 5.25338941e+162
 5.20683867e+178
 Inf
 1.81834439e+222
 1.72089220e+110
 3.02238859e+123
 1.94898935e+207
 4.43390071e+144
 2.65686772e+99
 5.10939635e+107
 2.52479274e+100
 2.87572688e+69
 8.24508016e+63
 2.49486274e+79
 5.63801766e+79
 1.17896432e+67
 3.95856104e+68
 1.30978950e+89
 8.65489040e+86
 2.73074604e+66
 4.55105167e+71
 2.66303519e+81
 3.08959027e+72
 1.90405047e+87
 5.76314860e+113
 4.97513608e+79
 9.91677704e+63
 8.40633052e+74
 6.99932266e+89
 3.53313577e+110
 5.23595146e+98
 9.84457646e+70
 1.72802432e+70
 1.67987890e+82
 3.04697110e+91
 1.74708513e+99
 5.44320466e+81
 3.12404304e+61
 3.14317172e+57
 1.04773436e+68
 6.37955895e+93
 1.25384490e+105
 5.98940282e+75
 7.81174251e+67
 1.93589578e+82
 9.53389267e+82
 4.35233405e+76
 2.51985308e+80
 2.58656352e+93
 1.33375078e+81
 1.06563836e+63
 1.20691371e+62
 1.31637197e+58
 8.50939842e+65
 4.85865275e+68
 2.23866993e+64
 7.08189234e+59
 4.30704416e+50
 8.19731785e+55
 1.04176529e+61
 1.96168277e+63
 1.74073105e+72
 6.17480843e+73
 1.97076929e+83
 1.25648445e+74
 1.43494382e+55
 3.82998306e+73
 4.86268821e+77
 1.88559721e+61
 6.02410384e+59
 7.14711606e+58
 2.14115818e+63
 9.07405494e+69
 9.00049789e+90
 4.42351075e+103
 5.63121141e+76
 1.06727871e+67
 4.90098582e+76
 7.06341920e+100
 4.37551602e+76
 3.89311627e+64
 2.96254851e+88
 8.80251453e+70
 1.97084195e+63
 3.19446415e+75
 6.64529045e+74
 1.14300214e+66
 3.04837609e+83
 2.51637353e+92
 4.88664242e+72
 8.44150102e+79
 7.44726604e+83
 2.33936264e+59
 6.23916133e+54
 7.71173379e+57
 2.19978565e+53
 6.41433736e+52
 5.16451786e+51
 4.14877480e+47
 4.02129325e+51
 1.39777347e+52
 4.96153447e+52
 4.36742564e+66
 1.36787044e+69
 1.25508103e+66
 3.73017668e+56
 9.95764585e+68
 5.89556962e+89
 1.48038343e+83
 3.46285353e+82
 8.21598938e+85
 4.84953209e+69
 4.59228095e+60
 6.02219204e+59
 1.69505688e+64
 3.25910602e+71
 2.34805747e+71
 7.80567216e+73
 5.66667303e+70
 1.69983332e+83
 6.02906413e+85
 1.75925846e+81
 7.15063524e+71
 4.10583339e+83
 1.47480130e+103
 8.68152127e+72
 8.91281170e+71
 6.39453515e+93
 2.46910212e+84
 1.00411618e+84
 3.09945154e+118
 1.48891856e+97
 1.70279429e+69
 5.39302203e+68
 1.00258129e+69
 2.17334117e+57
 6.67471996e+54
 3.04898111e+63
 3.95117034e+68
 3.20375034e+75
 8.17139073e+62
 1.65262974e+40
 2.10355559e+10
 6.72488144e+08
 1.98665572e+18
 2.13752930e+23
 1.29122370e+09
 6.42120837e+06
 4.69269628e+05
 7.41504405e+01
 4.14960163e+01
 2.56384267e+01
 2.72517253e+01
 1.29235787e+07
 6.15943660e+08
 3.11957018e+02
 1.57082213e+06
 2.21658228e+14
 9.18333440e+04
 9.30647710e+01
 1.55802051e+02
 2.05537865e+02
 2.22976167e+02
 9.11015576e+07
 1.18210955e+17
 5.63687804e+05
 5.45855119e+03
 1.34370806e+06
 2.18650825e+15
 2.54524646e+42
 4.10136598e+58
 8.98480515e+59
 1.92831463e+68
 1.05405605e+68
 2.72854329e+47
 5.68413384e+48
 1.11128375e+70
 6.82866596e+72
 2.91868020e+68
 3.53670116e+83
 1.57594166e+111
 6.05302528e+68
 2.53446002e+50
 2.56197797e+67
 1.39288222e+70
 1.11152577e+62
 1.20736096e+73
 6.89469975e+63
 7.81917820e+52
 2.50133537e+57
 3.97583179e+65
 1.55231234e+64
 6.14270287e+64
 3.89405234e+69
 5.32075780e+93
 6.20803929e+102
 3.33861959e+77
 2.13175665e+67
 1.38034505e+66
 3.30676993e+65
 3.05938694e+58
 5.77935942e+55
 8.82992770e+55
 4.14435904e+58
 8.13663373e+60
 2.26247561e+65
 7.23940184e+61
 5.72994238e+63
 1.41604009e+64
 2.93990104e+64
 8.87680732e+71
 3.67145287e+70
 1.59895627e+52
 1.17210654e+50
 2.09992277e+67
 7.89001448e+61
 4.98709073e+52
 6.13998964e+50
 4.75444167e+63
 9.80079781e+78
 2.26879338e+74
 1.24858419e+72
 1.43854932e+62
 4.15821476e+58
 1.83130571e+59
 1.33917328e+61
 2.60788978e+71
 2.83915859e+75
 1.43234684e+68
 3.87992968e+64
 1.05204222e+68
 4.35670463e+61
 7.21253872e+53
 1.60163518e+54
 6.59102615e+58
 1.05556289e+63
 4.97104437e+60
 1.45854691e+56
 1.66170552e+49
 1.23433894e+55
 9.14109335e+76
 6.95760244e+73
 2.27613611e+65
 8.37481002e+58
 2.11438041e+48
 8.64544605e+43
 3.54550398e+51
 8.95206111e+57
 4.60069239e+58
 1.05477053e+59
 4.23409539e+57
 1.52945409e+58
 2.44901465e+66
 7.17493574e+66
 2.63102361e+49
 7.69624616e+45
 8.84386810e+56
 3.27235063e+66
 3.15813567e+67
 7.73492497e+56
 1.60651638e+48
 1.01991093e+52
 6.63251733e+55
 1.35423848e+56
 5.22767356e+62
 3.48808107e+53
 2.47056584e+51
 6.86478118e+60
 1.92931332e+68
 3.05952335e+81
 2.72543620e+90
 7.86071731e+73
 1.38425775e+66
 7.39966953e+64
 1.01686168e+201
 1.82399419e+216
 1.90695545e+60
 1.10647178e+62
 5.73043821e+63
 2.61329010e+76
 3.98861086e+82
 2.53097695e+59
 4.03336524e+62
 5.05244565e+78
 2.52092527e+75
 1.11645764e+72
 4.67247944e+64
 3.89382800e+69
 2.24748171e+77
 2.64699618e+83
 2.43171487e+106
 6.18107537e+91
 3.18737942e+69
 2.18884759e+72
 4.09123540e+70
 4.26906185e+67
 7.17961266e+66
 2.23681506e+64
 2.34080903e+67
 4.71120449e+67
 1.11036455e+62
 1.42047126e+58
 3.14370270e+67
 3.75808278e+100
 1.21961860e+97
 1.35340988e+100
 6.40692597e+136
 3.67986658e+91
 3.85021445e+90
 8.96605909e+108
 2.67014580e+97
 1.16775097e+99
 1.43378947e+117
 1.48120535e+153
 1.48401853e+142
 2.13570628e+136
 1.23744646e+106
 3.01327812e+88
 3.21164787e+99
 3.05078166e+136
 1.12926057e+197
 1.25792878e+215
 5.93425745e+245
 1.01841216e+165
 6.72055556e+131
 3.42648110e+168
 9.67571627e+191
 1.14675193e+88
 7.20118700e+81
 4.10983333e+118
 8.69996434e+160
 1.12245909e+202
 4.45626604e+125
 3.14555548e+118
 6.93215949e+103
 3.31365620e+79
 2.96757862e+70
 1.71533471e+65
 6.35870997e+67
 1.08656487e+71
 1.23940391e+61
 2.54172654e+77
 1.07374617e+91
 6.41952334e+67
 6.75306758e+88
 4.87645782e+148
 5.90232162e+110
 2.75118453e+90
 2.04087952e+100
 9.61710158e+87
 1.25116898e+76
 2.31265932e+78
 5.79703416e+97
 8.15917520e+114
 7.10027367e+108
 1.59141710e+111
 2.36155809e+118
 1.12553286e+94
 8.66273942e+97
 2.14517152e+99
 1.16213558e+81
 1.07555284e+91
 2.58719075e+96
 3.18334227e+107
 5.81524112e+88
 1.39136305e+63
 7.54627276e+75
 3.34000441e+111
 6.18673240e+105
 7.13136875e+94
 6.81868371e+189
 2.20794006e+234
 1.93416773e+117
 5.18321378e+92
 5.16622889e+91
 4.77557416e+114
 1.64329337e+123
 7.85256288e+98
 6.84171698e+88
 2.33479755e+98
 7.10534916e+84
 2.66936851e+70
 6.16982672e+73
 8.59914871e+86
 3.46742038e+72
 2.02583168e+78
 6.41442912e+107
 1.40548045e+124
 3.28608590e+104
 1.76894333e+81
 1.10035304e+82
 4.47022142e+78
 5.63742767e+79
 2.62389291e+95
 1.22427303e+106
 7.23827323e+81
 5.55064808e+77
 4.86477683e+94
 1.85771729e+109
 1.03690435e+95
 2.46998621e+84
 2.29214460e+83
 4.70188182e+81
 4.41242206e+68
 5.35698591e+66
 4.85413422e+88
 3.29965115e+79
 3.78355956e+96
 1.16722028e+203
 6.76254691e+124
 2.54394004e+79
 3.32094810e+80
 7.61684149e+90
 1.57002451e+105
 1.17055182e+99
 1.37772025e+102
 3.56471395e+103
 3.89366215e+106
 2.35810484e+118
 5.82959214e+88
 5.55608501e+83
 8.18942774e+95
 8.25534849e+96
 2.04568531e+100
 6.17119614e+92
 9.58175051e+81
 1.18570589e+87
 3.52918997e+88
 1.57007968e+78
 6.71989865e+75
 1.47234004e+83
 1.25751158e+93
 2.66250331e+83
 1.32301959e+88
 2.02838742e+101
 4.07700787e+94
 2.18211462e+89
 9.93021364e+95
 1.33780793e+104
 3.25811387e+102
 1.36043854e+84
 4.49297504e+84
 2.60772063e+111
 1.58054516e+107
 4.86182907e+99
 1.43061900e+99
 7.13017101e+100
 6.35220873e+77
 2.39125250e+70
 3.23442708e+85
 5.22806597e+84
 1.07788828e+101
 9.78400722e+154
 4.41750125e+177
 8.29893662e+114
 2.11206447e+86
 6.03562941e+85
 5.89208075e+87
 1.69242149e+82
 3.77288772e+77
 3.08526100e+87
 9.70007139e+105
 9.63173220e+87
 5.78499604e+80
 1.75526098e+96
 7.22002264e+77
 6.22544815e+81
 5.89100916e+121
 3.07938137e+119
 1.48924201e+97
 4.40640295e+121
 1.09476199e+117
 1.71554899e+102
 3.01927699e+130
 9.18026798e+133
 1.00237539e+182
 Inf
 3.60900626e+184
 9.75055008e+102
 1.43208003e+99
 1.72231158e+119
 2.12319786e+136
 3.62821437e+122
 1.56642346e+126
 1.34665306e+148
 6.96643200e+182
 8.90087598e+213
 6.31978695e+269
 4.22405722e+287
 7.58290568e+298
 2.74506098e+278
 9.10184616e+282
 1.65100087e+272
 1.06803447e+175
 3.16890665e+162
 2.69240522e+273
 Inf
 1.65384845e+231
 5.70247037e+129
 6.39287990e+212
 4.55932315e+133
 9.18062493e+90
 7.10070636e+97
 4.78739326e+114
 5.03200563e+102
 5.68072570e+79
 5.23488663e+74
 1.09925339e+83
 6.87458247e+62
 6.09956657e+61
 7.06519672e+111
 5.41434951e+128
 7.31654282e+101
 1.29795774e+120
 1.08935545e+133
 6.53081650e+107
 4.75876350e+101
 6.90005267e+103
 1.20210302e+112
 3.92010331e+105
 2.62805624e+102
 1.82551023e+115
 7.46784638e+79
 7.83315836e+73
 7.14056789e+112
 1.91831288e+124
 2.64267575e+111
 8.35221111e+81
 3.58590608e+89
 6.10712526e+140
 1.23844168e+106
 1.04718234e+92
 6.94001962e+87
 2.08160216e+65
 2.30024345e+78
 3.99754100e+107
 3.19277174e+125
 2.05560837e+129
 3.36168513e+84
 1.25823703e+93
 1.04601768e+201
 1.66144940e+220
 1.10716352e+133
 2.61478032e+150
 5.79216495e+195
 4.94632765e+124
 4.97063101e+109
 3.15409503e+160
 3.79123262e+225
 1.10528209e+217
 1.74476794e+170
 5.36175890e+145
 1.39974405e+190
 1.06763431e+221
 1.93683514e+157
 8.84750732e+213
 1.06568159e+200
 1.01337182e+165
 2.76842037e+229
 6.76082500e+217
 5.03850440e+165
 4.40887986e+144
 2.89109864e+137
 8.28527506e+107
 2.34426385e+94
 1.33701799e+104
 1.22126034e+146
 3.51383873e+184
 3.31575408e+104
 3.01204562e+88
 3.82092504e+271
 Inf
 2.41360543e+263
 Inf
 Inf
 Inf
 6.51438676e-06
 Inf
 2.80431632e+212
 5.67832141e+123
 1.86920113e+162
 1.91005199e+244
 2.90649049e+149
 4.39982298e+146
 Inf
 Inf
 6.64768476e+136
 1.07638823e+150
 4.87693621e+199
 3.50858306e+164
 1.48749745e+194
 1.22176805e+112
 1.13444820e+88
 9.31713078e+112
 1.47675981e+163
 1.44612098e+187
 4.51381883e+141
 3.19591473e+174
 9.98586740e+154
 6.23632004e+140
 Inf
 Inf
 5.71507808e+123
 1.36083196e+137
 2.17523724e+234
 6.34182729e+269
 Inf
 Inf
 3.66485213e+294
 2.35459385e+198
 1.95107554e+248
 Inf
 4.93749305e+211
 7.92721039e+180
 5.75744597e+230
 3.51741665e+254
 6.26159963e+243
 1.13782870e+202
 2.39184401e+153
 1.92849076e+144
 6.51948444e+83
 1.56985059e+84
 2.17703857e+97
 1.51971018e+85
 6.42571859e+90
 3.57060096e+83
 1.46478187e+82
 3.35170321e+111
 2.48536856e+163
 1.48452674e+181
 1.81185387e+179
 6.85082339e+209
 3.18465137e+162
 2.90081893e+137
 1.81444480e+184
 3.76875647e+143
 1.10608747e+130
 8.63409812e+210
 Inf
 1.74182029e+165
 2.83144042e+190
 4.42872053e+281
 1.75496162e+170
 1.82933616e+184
 6.27935018e+269
 Inf
 1.52319011e+236
 3.05124381e+141
 2.01158421e+107
 3.15663477e+174
 Inf
 3.26297195e+238
 2.74318137e+221
 Inf
 Inf
 6.19019448e+247
 9.94123747e+259
 6.78503424e+217
 1.15551319e+135
 9.80115107e+119
 6.61522709e+122
 3.91388069e+106
 5.96517489e+99
 1.03414242e+95
 1.54436611e+151
 1.68761337e+131
 2.84142360e+114
 4.77830956e+116
 4.76977388e+101
 2.09086185e+104
 2.19333707e+55
 1.64855431e+58
 5.82882594e+125
 1.89091199e+132
 8.30974879e+125
 1.90723998e+117
 2.17185210e+110
 1.35503823e+137
 7.13870210e+163
 3.03588618e+215
 1.04470177e+219
 7.68039324e+128
 1.71179939e+156
 4.94394389e+200
 5.51314251e+127
 7.03492443e+159
 4.94021072e+198
 5.02121505e+148
 3.41072388e+135
 4.40166305e+216
 7.01449287e+241
 2.01243450e+137
 2.05833978e+127
 2.12809825e+136
 1.23409550e+146
 2.77759099e+156
 6.42065590e+150
 3.47871138e+164
 4.14020854e+119
 3.25281842e+75
 2.53094641e+88
 6.16144402e+106
 5.11934922e+104
 1.11989908e+80
 3.85750530e+84
 6.31458214e+133
 2.89841800e+144
 2.60240218e+77
 9.68185122e+60
 3.01037431e+91
 5.42271517e+119
 4.82017649e+114
 3.79097388e+132
 1.21763333e+123
 4.12111456e+115
 3.12371858e+120
 2.83580719e+127
 6.51309418e-06
 Inf
 1.64402719e+155
 6.00266940e+168
 1.07075919e+156
 4.96595681e+106
 6.50981200e+79
 1.94704505e+82
 2.46371283e+72
 7.74932348e+56
 1.69283290e+52
 3.63059507e+57
 3.38636774e+62
 3.87472837e+54
 5.49959721e+51
 1.57529522e+61
 1.15161562e+84
 4.35405744e+76
 2.87119343e+67
 3.99701294e+66
 2.61750150e+76
 9.94357104e+96
 4.86428475e+69
 8.88616525e+60
 1.34095965e+61
 1.87259597e+61
 3.28088386e+66
 1.12126732e+79
 2.57359360e+69
 4.82386700e+62
 2.15729726e+63
 1.22034418e+58
 1.57240084e+74
 2.96158323e+70
 5.21435106e+74
 6.10943036e+92
 1.06405676e+78
 1.63550723e+101
 1.99215622e+107
 1.76315477e+77
 2.87181982e+67
 9.03326557e+68
 7.35826682e+69
 1.77862492e+86
 4.88324056e+94
 1.20405082e+96
 5.79684007e+88
 3.31545881e+70
 1.82105304e+88
 3.36155124e+111
 4.92333730e+105
 4.37532204e+108
 1.34320813e+104
 1.33195682e+88
 1.69261505e+82
 3.62754750e+91
 2.36615094e+109
 3.68421439e+114
 8.27083340e+125
 2.23629322e+123
 1.25432879e+95
 9.61617368e+84
 5.41123199e+90
 4.06283589e+119
 2.41764503e+85
 4.28058912e+64
 2.13618799e+88
 5.82278467e+97
 2.71280591e+64
 2.81537629e+52
 7.46179772e+60
 2.17776717e+79
 1.56120823e+107
 1.04311606e+108
 1.86486291e+146
 1.02952958e+208
 3.07061736e+173
 4.47882485e+149
 9.43011134e+152
 1.18109166e+157
 3.41606376e+135
 3.13854356e+105
 3.34595617e+112
 3.60622328e+122
 1.67055057e+114
 2.47071451e+143
 4.73652243e+131
 9.82680284e+105
 2.58685160e+89
 1.15873153e+81
 1.20694863e+78
 2.32115370e+81
 1.47122802e+97
 1.61639201e+94
 8.25474740e+69
 3.08379698e+70
 1.06432975e+67
 2.20879324e+53
 1.09711030e+54
 7.70507542e+57
 8.83983514e+55
 2.58529636e+56
 3.09020673e+61
 2.19172487e+60
 4.57249181e+60
 1.03417181e+57
 4.35524131e+55
 1.64878433e+58
 5.99273778e+194
 6.51353537e-06
 6.51530233e-06
 6.51551852e-06
 6.51633777e-06
 6.51832744e-06
 6.51610818e-06
 4.03122269e+206
 1.92963550e+244
 6.51372488e-06
 6.51445000e-06
 Inf
 5.01571801e+199
 9.96381299e+280
 2.61370672e+185
 5.32589000e+160
 2.27222822e+199
 7.76980300e+132
 1.92849724e+124
 3.14711140e+115
 7.16315333e+100
 1.10269846e+100
 1.29023841e+98
 2.65448313e+122
 5.07425132e+89
 9.82126834e+70
 4.08197162e+71
 7.17008686e+76
 1.11446205e+89
 1.71295557e+83
 7.50431682e+62
 7.93027664e+71
 2.01064240e+113
 6.29182140e+81
 3.17776355e+69
 1.21055294e+62
 2.25244236e+54
 2.36789998e+60
 4.31955567e+73
 5.91070491e+89
 4.43779526e+85
 3.32859721e+80
 1.01694758e+70
 1.55533806e+64
 Inf
 4.12399766e+268
 2.85602285e+85
 1.31423886e+132
 5.44022122e+86
 4.11264854e+70
 5.43469804e+72
 1.21497488e+71
 8.43483757e+79
 6.42117139e+83
 5.24260578e+74
 3.97175244e+68
 6.51308577e+66
 6.12346574e+82
 1.79799690e+121
 4.39161523e+117
 1.01335371e+84
 3.29426912e+79
 7.20322584e+101
 2.14292559e+96
 8.69414487e+67
 1.17331165e+67
 5.37503309e+81
 1.49400553e+95
 1.29563051e+79
 1.68100664e+66
 2.44695458e+72
 3.80940830e+55
 1.12679063e+58
 4.25514872e+79
 7.43972563e+64
 2.68486332e+50
 6.64713359e+54
 1.85570897e+60
 6.16874703e+57
 6.01306578e+59
 5.23864065e+58
 1.85564957e+64
 5.34282186e+69
 1.51075645e+71
 4.46668062e+84
 1.55853007e+89
 5.27413248e+75
 1.67498432e+76
 5.14884946e+85
 1.31085597e+110
 2.09612878e+104
 1.61101860e+76
 2.51072508e+79
 6.06654223e+84
 5.55657628e+77
 1.30705066e+86
 2.50509544e+107
 3.03570817e+109
 1.29042779e+91
 7.20852532e+81
 5.41127395e+81
 1.00539618e+81
 1.83037010e+88
 2.58446705e+96
 5.39732193e+86
 2.27491810e+74
 1.63022908e+90
 8.13393006e+114
 1.26211643e+105
 8.04857947e+71
 1.59101451e+60
 2.05881728e+65
 3.43684530e+72
 2.31701005e+76
 9.25317747e+76
 2.78286996e+85
 1.83611540e+103
 2.88147899e+86
 2.39624154e+85
 6.36003675e+136
 8.76784244e+147
 5.45938423e+173
 1.14035230e+197
 7.17665025e+226
 8.82515691e+210
 2.29367975e+199
 4.05660108e+192
 1.97580921e+106
 1.68670790e+80
 1.11618315e+89
 2.42497223e+121
 2.84932476e+149
 1.22174628e+123
 9.77398698e+119
 1.21855513e+116
 5.03374019e+102
 3.26761581e+104
 2.22069057e+51
 1.30749438e+54
 3.75656313e+109
 7.01757518e+135
 9.96023791e+225
 9.56962689e+183
 1.73500523e+257
 6.70182611e+272
 2.98500164e+209
 2.35809978e+191
 2.06947494e+101
 1.21166218e+116
 8.71447995e+147
 9.41580198e+111
 9.99951010e+95
 5.76058016e+117
 3.03689303e+194
 2.26438754e+290
 1.14485933e+162
 1.07674390e+78
 1.21662108e+73
 7.12788184e+71
 2.58444647e+82
 1.50529505e+93
 1.22200780e+75
 7.97716266e+71
 2.86554134e+79
 7.93756169e+104
 9.88015150e+106
 1.26757381e+93
 2.82678944e+146
 4.57685317e+274
 1.69950013e+171
 7.10634987e+159
 3.81175491e+167
 3.23574657e+125
 1.30715163e+120
 1.90022444e+157
 2.57060425e+185
 3.50142419e+164
 6.51328268e-06
 6.51464773e-06
 2.00842964e+144
 2.54417182e+100
 6.17077182e+91
 2.42806084e+121
 5.60974836e+129
 3.46248792e+108
 5.30024978e+75
 3.41481946e+62
 9.62299789e+60
 4.06769235e+55
 2.48317131e+55
 3.54842443e+68
 2.63546135e+83
 8.08081362e+83
 4.88193713e+77
 7.95163229e+66
 1.26419766e+63
 5.24114522e+63
 2.49456338e+79
 8.61016808e+97
 3.08852386e+83
 2.15192588e+70
 2.62063971e+71
 8.70936086e+80
 3.31941135e+84
 5.60063510e+76
 9.44310343e+88
 6.57672467e+131
 9.38867651e+152
 4.92276159e+122
 3.57202584e+158
 1.01518163e+254
 3.41401646e+179
 1.59922452e+105
 2.67138846e+83
 3.67272504e+21
 1.08325986e+13
 4.92863643e+22
 4.05762307e+33
 2.07376537e+48
 2.48027755e+88
 4.60437241e+191
 2.57765513e+155
 1.61173581e+116
 4.81550834e+114
 1.33175362e+89
 1.24249779e+92
 2.11015333e+102
 3.81624114e+96
 1.00274929e+97
 6.80305836e+96
 3.99900046e+68
 3.04706562e+60
 4.82219829e+72
 3.31083740e+80
 5.64179984e+79
 1.21665417e+75
 1.23736415e+69
 4.25582713e+64
 2.49051635e+65
 7.94129304e+71
 1.75313895e+85
 6.13903453e+92
 1.84611217e+89
 2.64421463e+122
 2.53369873e+183
 4.05677864e+129
 1.40635919e+115
 1.35726123e+137
 2.60002445e+159
 8.81094638e+147
 7.84325469e+93
 3.55866566e+81
 1.11429658e+85
 1.52934675e+81
 6.62752230e+80
 2.17032088e+73
 1.68250560e+82
 2.50171854e+100
 2.40692087e+85
 1.37602320e+75
 3.05094789e+106
 6.18190213e+92
 3.09592243e+63
 1.68080532e+71
 9.75731101e+70
 7.19048896e+66
 5.18230876e+84
 7.83587652e+67
 1.40705953e+50
 3.85530209e+60
 2.17823542e+72
 2.14835580e+68
 1.34552707e+61
 1.75799229e+55
 6.84723733e+52
 5.39390971e+48
 1.05329502e+49
 2.59846991e+58
 1.99550388e+81
 6.41529700e+90
 2.64509244e+62
 1.21910618e+63
 2.13304441e+88
 1.26010864e+93
 1.12165502e+89
 5.02950189e+89
 2.64953604e+78
 7.07072270e+67
 2.55180815e+77
 9.93454520e+120
 1.35021826e+122
 2.70336570e+81
 9.70550845e+79
 1.68749095e+82
 1.54124217e+77
 2.44109245e+86
 7.62801406e+80
 3.88164827e+73
 3.31228884e+80
 4.97164249e+102
 2.04211168e+111
 1.43971154e+117
 1.49147634e+103
 7.27037153e+101
 8.21259383e+107
 3.38610602e+111
 3.91951686e+105
 6.70355925e+68
 3.71644080e+69
 3.05949573e+73
 1.22185436e+125
 1.08046754e+104
 1.71415078e+59
 1.11234804e+60
 6.66102012e+55
 9.62695850e+51
 1.10553971e+50
 1.12265972e+58
 1.39687441e+74
 5.93114254e+75
 4.56536193e+70
 1.42053874e+64
 3.28315989e+70
 3.56809354e+92
 1.38629491e+90
 1.26419826e+66
 2.30487292e+69
 1.11393229e+86
 2.85559622e+75
 1.16965175e+68
 7.11155336e+71
 5.07821581e+78
 2.93690745e+71
 6.52131475e+66
 1.67263271e+66
 2.42693260e+86
 5.03531859e+80
 1.11755979e+69
 5.95347904e+69
 9.04291653e+68
 3.96196299e+68
 3.26644909e+71
 4.46746729e+84
 1.18694945e+87
 1.12622782e+88
 1.94375575e+90
 9.08399339e+90
 1.38550402e+90
 7.86001512e+73
 2.62461012e+71
 1.07428768e+75
 2.56063883e+77
 3.52463634e+69
 1.29589681e+67
 6.27371603e+77
 9.90403840e+73
 1.02193893e+62
 2.33788441e+67
 1.96410969e+83
 1.66438839e+108
 5.02340625e+102
 7.66476068e+80
 1.50428506e+93
 3.04604758e+89
 1.00599230e+84
 7.72195479e+93
 1.70376627e+102
 3.56478881e+103
 5.53740970e+103
 1.08539936e+101
 8.06306012e+109
 9.35147411e+93
 2.10278258e+136
 5.77354504e+174
 4.14594116e+119
 7.04071395e+135
 1.21607856e+96
 3.26078443e+74
 2.31104737e+78
 1.55436777e+89
 3.18133890e+95
 1.46731611e+80
 1.25848023e+70
 3.97637707e+82
 9.53684559e+102
 1.81641158e+95
 1.00995902e+81
 7.03200336e+85
 1.80558722e+93
 4.32543677e+79
 3.52748595e+69
 8.57976811e+86
 1.79257462e+97
 4.72314244e+81
 1.37424770e+75
 1.16951043e+68
 7.56695196e+75
 4.22864603e+89
 5.59112612e+96
 1.54748658e+112
 1.44008607e+117
 5.03505872e+102
 3.14790636e+96
 5.84024602e+97
 2.14019543e+96
 3.54238920e+110
 2.30313330e+119
 6.41521165e+98
 2.66221853e+97
 1.81859785e+91
 2.58742420e+96
 5.58798595e+126
 3.93389866e+105
 3.34779645e+80
 8.60832347e+75
 4.35385677e+73
 1.12534718e+79
 1.67201501e+110
 5.85213399e+110
 1.48616450e+97
 8.23057533e+95
 1.37622999e+102
 1.26774783e+139
 6.31826851e+114
 6.21608648e+106
 2.82363162e+127
 1.97148455e+82
 3.30870220e+70
 2.99797467e+78
 2.87799079e+74
 6.09517105e+105
 5.95365246e+121
 4.04084432e+82
 4.29003130e+92
 1.51121618e+93
 2.60618818e+82
 1.55713104e+89
 3.44428920e+78
 3.83226869e+76
 1.75715563e+85
 1.48021018e+92
 5.58439120e+111
 4.44082561e+141
 Inf
 Inf
 1.85996328e+216
 2.00249935e+168
 3.96387124e+127
 2.89360744e+144
 9.64417645e+178
 1.11386649e+143
 1.66660554e+101
 1.57594489e+105
 2.37779666e+109
 3.03098394e+92
 3.85162773e+90
 1.42610777e+99
 2.53047226e+92
 3.80730281e+85
 3.52634581e+110
 1.32476555e+108
 5.04885340e+87
 9.31563254e+112
 2.35770019e+131
 1.38899984e+102
 3.31227678e+79
 3.59101777e+68
 4.85086241e+77
 1.29548865e+85
 6.86940284e+72
 8.09340936e+87
 8.54385247e+94
 3.65641398e+75
 8.60880901e+72
 4.08514992e+71
 1.96863461e+83
 2.15242329e+91
 7.53614667e+74
 2.62495609e+87
 1.67900364e+110
 2.48630004e+105
 5.44718692e+90
 1.94552049e+90
 1.32276267e+89
 9.58459968e+74
 1.83276017e+89
 1.85361515e+109
 4.28255183e+98
 5.00858214e+102
 8.79922831e+100
 6.17178796e+91
 3.13671380e+96
 5.62740569e+95
 1.82099170e+115
 3.38211633e+135
 4.41246478e+125
 1.73624609e+119
 4.26670113e+130
 4.45151947e+121
 4.51665424e+93
 2.36815254e+109
 1.86584830e+146
 2.06219138e+113
 4.32681889e+77
 2.62855338e+71
 2.27918329e+83
 4.15275972e+88
 6.87695223e+72
 1.04872388e+77
 8.59989940e+97
 8.22139810e+77
 1.97523064e+75
 2.31830839e+81
 9.14551664e+69
 6.62830629e+74
 4.40570205e+113
 2.29170005e+145
 2.39988017e+109
 9.89340551e+106
 1.40509158e+124
 1.58554571e+107
 5.88396042e+101
 1.67381561e+104
 7.49766555e+110
 1.46434294e+136
 1.58950585e+105
 2.37782173e+109
 4.24717254e+166
 1.07035787e+156
 9.86090648e+118
 4.26640020e+130
 1.00128393e+182
 1.28484651e+144
 5.56832236e+118
 1.13795372e+126
 4.18979917e+137
 4.59230407e+110
 7.33078805e+99
 9.29404569e+136
 2.87188421e+146
 3.06245598e+109
 8.28875840e+96
 1.91848310e+98
 1.57299999e+98
 2.54251035e+57
 4.23870420e+53
 2.08103148e+71
 6.71573948e+54
 2.92407090e+64
 5.68809330e+100
 5.92096847e+87
 3.46869877e+82
 2.05363814e+76
 7.37241561e+68
 5.38041060e+81
 7.62084666e+90
 1.05476214e+98
 1.04601215e+129
 2.39248927e+109
 7.24294310e+77
 3.57943367e+89
 1.28853631e+119
 3.63545545e+116
 1.97331954e+137
 9.51241600e+153
 6.55424444e+107
 2.58675129e+77
 4.11672455e+83
 3.52583585e+124
 1.29723741e+140
 2.73003094e+108
 1.04346442e+108
 1.50193776e+154
 1.27895916e+144
 4.95749733e+105
 4.02935278e+139
 1.17476138e+180
 3.42824081e+135
 1.09822221e+117
 2.62418088e+104
 1.35653661e+100
 3.65203890e+87
 3.46844635e+82
 6.02750458e+85
 8.78708983e+92
 1.37474118e+102
 2.89858390e+74
 6.60881270e+80
 9.94949904e+104
 4.92933935e+88
 1.63451582e+87
 1.25810582e+74
 9.73549332e+62
 2.29704627e+78
 9.46730943e+98
 1.22389371e+75
 1.74567381e+77
 1.44704987e+96
 1.80947963e+121
 3.03213232e+123
 9.80985172e+105
 3.30785707e+117
 6.28758050e+114
 6.83694512e+96
 3.12023154e+93
 5.35012503e+115
 2.87331819e+103
 7.81380930e+98
 1.34821849e+121
 3.14208106e+118
 2.34790193e+76
 4.89430057e+73
 1.80064468e+115
 1.06250769e+98
 8.26821691e+84
 1.11429227e+94
 1.57196106e+105
 2.14497634e+96
 1.33488027e+81
 9.53026689e+82
 3.52358411e+88
 3.25075773e+104
 2.51926229e+101
 5.57726985e+83
 3.67125583e+71
 7.36684525e+69
 8.42963190e+79
 1.47684366e+92
 3.64160353e+91
 4.39334554e+80
 2.72444876e+90
 6.36098591e+98
 5.04551186e+89
 3.08737300e+81
 7.07085521e+94
 1.47914565e+97
 6.88961099e+103
 2.04165782e+129
 5.15053729e+107
 1.89768367e+117
 3.76618684e+167
 7.87038585e+180
 1.49965717e+127
 3.46057920e+108
 2.77545754e+110
 4.38293054e+125
 4.82709637e+114
 5.41097537e+93
 8.95538553e+99
 8.06002422e+109
 2.30267353e+119
 3.01083726e+173
 2.27880451e+199
 4.13364865e+150
 9.43215234e+152
 1.88835141e+139
 5.89265489e+110
 1.20976685e+96
 8.22606250e+95
 2.10190437e+86
 4.35734632e+76
 1.18292467e+87
 5.69689643e+87
 8.19515295e+77
 1.34917755e+84
 2.44824311e+86
 1.11403158e+80
 3.32170183e+80
 3.81258896e+80
 3.43387362e+78
 4.57972107e+86
 8.74846912e+100
 4.74883664e+101
 2.34522204e+98
 1.48346311e+103
 5.22521589e+98
 4.85401427e+122
 3.03319107e+123
 1.38676419e+102
 9.31379365e+111
 1.13563017e+126
 7.54201360e+110
 3.37773214e+86
 2.02910996e+111
 6.51381541e-06
 6.53003754e-06
 6.53031852e-06
 6.52200902e-06
 6.51674803e-06
 Inf
 Inf
 Inf
 4.16254527e+268
 4.48671545e+177
 5.31681552e+162
 1.52492117e+154
 2.64055062e+124
 3.90393242e+128
 9.27645815e+171
 2.21093430e+167
 1.57200034e+112
 1.57155174e+89
 1.07907688e+91
 8.55396290e+94
 1.69628158e+82
 1.11234104e+80
 1.32755357e+81
 1.97716055e+83
 2.04116779e+66
 3.06960566e+72
 4.59936330e+82
 3.38595971e+76
 6.32939346e+104
 3.28012492e+104
 1.48968518e+92
 7.10122103e+94
 1.23242793e+111
 6.07587443e+137
 1.58997265e+105
 2.74733544e+90
 1.26974820e+114
 3.83659266e+134
 1.96032650e+94
 5.84363369e+78
 7.70387334e+93
 7.24786479e+101
 4.27354015e+98
 7.12896276e+100
 6.30814614e+109
 7.33956320e+118
 7.67951136e+117
 4.38761240e+117
 3.11474562e+100
 1.57866230e+84
 1.11395676e+94
 5.83524325e+97
 2.03569702e+101
 8.58296013e+94
 1.76926864e+85
 5.34344071e+82
 8.66042499e+78
 2.38914716e+85
 3.07968056e+73
 1.87609818e+69
 4.05721918e+81
 3.83686863e+76
 1.92990222e+67
 7.10877830e+71
 3.07775265e+72
 4.98498458e+87
 2.56563786e+91
 3.89044407e+67
 1.91273564e+79
 1.71033939e+48
 3.78294982e+51
 2.85583579e+141
 1.52837867e+93
 9.50454322e+88
 4.14306980e+163
 2.19418873e+234
 7.94833900e+180
 2.39844539e+152
 2.20419673e+188
 3.06204957e+173
 2.34388134e+191
 4.35316612e+236
 1.88333719e+284
 Inf
 Inf
 Inf
 1.76132058e+262
 Inf
 Inf
 Inf
 Inf
 2.72485423e+226
 7.42745678e+186
 2.90311500e+129
 4.19967523e+120
 1.00858772e+105
 6.48562165e+107
 5.51908911e+118
 4.10290917e+119
 1.46850190e+136
 2.78117310e+138
 1.47446178e+109
 3.65958437e+91
 2.44041202e+106
 1.46195399e+136
 4.18566993e+118
 7.60892458e+123
 5.15054589e+178
 4.91002582e+199
 2.06805362e+200
 Inf
 Inf
 1.29434592e+237
 4.90115527e+211
 3.06901742e+170
 1.59410021e+210
 6.31528869e+269
 1.05108035e+208
 3.72398300e+213
 5.41151490e+170
 2.90034656e+103
 9.12146505e+90
 3.32795427e+112
 2.13606645e+108
 1.09575961e+130
 2.76089631e+139
 3.13663240e+101
 1.17344140e+90
 5.34220848e+115
 1.30712858e+134
 1.99263838e+105
 1.81720867e+93
 5.09779078e+107
 5.32309366e+202
 1.82453144e+216
 3.62732139e+103
 1.12291642e+74
 5.66689847e+70
 6.83118025e+72
 4.56479553e+71
 4.72046632e+67
 4.58765011e+82
 1.42138465e+99
 1.09141010e+73
 4.10853997e+74
 1.82606719e+103
 4.04159351e+102
 1.64158051e+87
 4.32865183e+91
 1.14240529e+109
 5.93364414e+87
 2.88730749e+74
 1.62482970e+87
 3.17154249e+107
 2.37943964e+109
 1.57983495e+105
 7.73623546e+126
 1.34692655e+148
 1.99745641e+105
 3.84665010e+101
 4.46010489e+133
 2.10742455e+104
 2.34198463e+94
 3.00448118e+123
 4.19369767e+120
 5.13777176e+104
 8.01820397e+104
 1.57750888e+107
 6.23542497e+102
 7.23243385e+81
 1.41340371e+74
 1.07563649e+75
 3.44671148e+73
 5.91894768e+66
 3.30772587e+65
 1.26550729e+83
 3.52373543e+88
 1.57292872e+84
 7.95606031e+104
 1.28864518e+140
 1.86404785e+103
 4.07928512e+94
 5.57499998e+112
 5.80903440e+100
 3.27240678e+85
 3.09557891e+87
 1.69948157e+102
 2.09151692e+116
 9.77863066e+118
 1.58115786e+113
 1.40058018e+115
 7.78475552e+105
 1.81750438e+93
 1.19080260e+103
 3.61779782e+116
 1.55087911e+106
 1.67920371e+108
 1.46295322e+136
 2.87906696e+129
 5.63230732e+112
 2.30468939e+119
 7.61045287e+123
 1.03694862e+124
 9.66420565e+102
 2.09207366e+116
 1.40181913e+115
 1.47765749e+82
 2.63288298e+71
 1.05541847e+68
 3.79051623e+80
 4.92904535e+79
 9.99672783e+71
 3.90202728e+78
 3.51692971e+88
 1.67418031e+89
 4.59794892e+86
 3.52813094e+110
 8.27957548e+116
 4.34079828e+112
 4.28625819e+98
 1.12704913e+86
 1.49677576e+95
 9.53425217e+98
 3.49461343e+98
 1.73362485e+120
 9.35560221e+152
 2.96093071e+77
 7.14054362e+71
 9.58693518e+118
 1.00820932e+105
 4.09827413e+123
 3.82688094e+176
 5.53315729e+119
 2.76420298e+116
 3.19520328e+148
 5.57274132e+118
 1.07306411e+115
 2.59624214e+112
 5.80851531e+100
 3.11158137e+105
 1.40435897e+124
 1.03772156e+110
 4.47428057e+133
 1.98584868e+122
 4.34043481e+92
 1.53624219e+86
 9.41908826e+61
 1.86787743e+57
 1.28844975e+64
 3.52755294e+83
 2.50323831e+100
 7.49866871e+83
 1.65513692e+100
 4.02275823e+138
 5.64067226e+120
 9.79031344e+118
 4.78419586e+116
 1.92052429e+124
 1.11782359e+162
 1.72470457e+257
 Inf
 Inf
 1.86435021e+266
 1.36714265e+158
 1.06279566e+129
 8.31979103e+116
 Inf
 6.51417561e-06
 2.78678500e+252
 1.82542359e+266
 Inf
 1.02521720e+226
 1.93017100e+227
 2.30921566e+200
 1.73560488e+156
 1.49663371e+153
 3.15554340e+162
 4.69704569e+265
 Inf
 1.97846623e+248
 Inf
 Inf
 5.13862581e+185
 3.32581110e+142
 4.51386567e+133
 7.94266089e+134
 9.50640275e+153
 1.68845946e+131
 2.34513464e+125
 1.34632254e+148
 3.95068431e+127
 1.21621109e+123
 1.90211330e+157
 5.51821198e+119
 8.05765437e+121
 Inf
 Inf
 Inf
 Inf
 Inf
 7.11046992e+266
 5.18378146e+197
 Inf
 1.17428344e+191
 6.98313550e+149
 1.23281952e+265
 Inf
 1.21162567e+223
 5.21279380e+214
 Inf
 Inf
 Inf
 2.12674128e+230
 5.87601377e+195
 4.23914437e+140
 8.50371009e+165
 9.47043421e+295
 1.44929655e+256
 2.27408164e+280
 8.25491053e+275
 1.68831780e+218
 7.26239532e+193
 4.13943908e+126
 1.25480252e+92
 2.14080769e+99
 1.63468821e+123
 1.34292562e+81
 8.70714164e+91
 2.37904673e+115
 4.28915685e+98
 3.55091064e+124
 9.77774915e+119
 1.91229327e+140
 8.69563400e+188
 Inf
 Inf
 2.85553257e+181
 5.98434583e+244
 1.21480921e+203
 4.21041552e+220
 Inf
 Inf
 1.79942452e+189
 1.05888770e+128
 2.37212274e+118
 1.71609544e+102
 8.06632933e+109
 3.28874420e+121
 9.79244297e+118
 7.57482949e+113
 9.90582484e+106
 6.69592796e+69
 2.12512125e+67
 1.80932357e+84
 6.92050971e+87
 1.88300322e+117
 2.38597259e+109
 4.82025261e+83
 1.79012118e+97
 4.91865578e+88
 4.43961017e+66
 3.26331788e+71
 1.88380911e+71
 3.07702721e+72
 2.72816073e+73
 6.38235166e+67
 3.89370274e+78
 1.39951527e+72
 1.88416265e+71
 2.23257240e+87
 3.28329117e+117
 2.88472435e+144
 1.16635350e+160
 2.51014346e+166
 9.20393471e+124
 1.05545003e+129
 6.67265292e+131
 6.28378525e+175
 9.52850773e+288
 4.82734809e+191
 7.44820455e+142
 8.70230736e+188
 7.90115511e+180
 6.53257905e+136
 1.13705736e+168
 3.53227070e+184
 1.89505132e+162
 2.37757321e+153
 1.82740818e+169
 2.92937151e+165
 1.57773063e+151
 7.40050439e+142
 2.42180595e+161
 5.07008573e+279
 1.42797428e+190
 5.75373712e+147
 1.90121515e+244
 1.95613724e+275
 2.44563731e+197
 6.51347536e-06
 6.51465006e-06
 1.08713161e+128
 4.01714580e+129
 2.41295419e+161
 9.68675965e+158
 9.19349618e+124
 1.05544872e+129
 6.67265292e+131
 2.38057487e+177
 6.02874554e+168
 2.14482212e+102
 7.49301233e+110
 3.03889251e+109
 2.65120270e+95
 5.21228020e+98
 7.26012870e+101
 2.61302601e+104
 2.22198845e+123
 5.30637479e+145
 4.23681254e+163
 6.69420284e+141
 2.39841164e+109
 7.77255627e+105
 3.30774108e+117
 2.65632203e+95
 2.34050242e+98
 5.88632514e+138
 9.91316027e+154
 6.07826993e+125
 8.85043380e+100
 1.69668892e+125
 1.07460958e+127
 9.78355622e+119
 1.24209472e+111
 2.79539079e+128
 4.08853029e+218
 2.05074561e+141
 9.09066540e+108
 1.57938954e+107
 2.65466614e+87
 5.94686556e+89
 1.28286695e+91
 9.52023735e+98
 9.52180660e+88
 3.87053415e+84
 2.79176453e+85
 4.88563073e+77
 1.00143016e+84
 1.21845539e+106
 4.06828125e+126
 2.68131959e+132
 3.04052418e+123
 2.01835436e+128
 1.07546696e+127
 1.58654551e+107
 3.38539322e+111
 5.97315248e+99
 3.74501901e+93
 2.11133169e+102
 3.30368755e+117
 7.52656983e+110
 1.01434431e+118
 7.84584144e+129
 9.69162890e+110
 1.03420058e+110
 9.64373919e+110
 1.48912725e+103
 8.01403917e+104
 3.02236656e+130
 2.05595237e+113
 4.50878282e+78
 2.10282991e+92
 5.48699391e+118
 1.20732210e+112
 3.13695389e+115
 2.67276771e+132
 2.69088849e+134
 7.72868250e+90
 4.94659536e+79
 2.15355652e+88
 2.88443032e+79
 5.59017448e+76
 2.44059525e+86
 8.94290764e+101
 3.81583196e+96
 2.68813137e+81
 1.26362197e+82
 1.79089945e+74
 3.28127916e+79
 1.62865264e+87
 3.92619176e+86
 6.42924954e+90
 4.66683440e+75
 1.47223783e+83
 5.53797409e+120
 4.88349971e+124
 9.81248915e+105
 1.46265178e+96
 2.33621145e+94
 8.22304137e+95
 6.37363850e+98
 1.07908246e+122
 9.96421746e+150
 3.22715753e+125
 2.76819845e+116
 3.69169072e+114
 3.59276415e+83
 9.57857885e+84
 3.88289690e+105
 6.90853016e+103
 7.07735875e+108
 1.13447023e+126
 1.30734194e+120
 5.43780620e+127
 1.10211663e+130
 1.95875249e+106
 6.18088578e+91
 1.34242231e+94
 4.06889854e+119
 1.03660286e+110
 2.46738270e+86
 1.25052060e+76
 6.61369017e+80
 2.50005127e+100
 5.40355548e+86
 5.24767741e+74
 1.29371367e+85
 9.57234199e+74
 2.81682251e+63
 6.06995150e+72
 1.26953572e+80
 4.48542046e+84
 Inf
 Inf
 3.96714392e+72
 1.56039898e+78
 2.47334814e+117
 2.65919556e+113
 6.08270911e+85
 2.17537973e+89
 1.53722895e+106
 1.59389651e+116
 4.71979144e+100
 7.24197816e+76
 3.15511886e+107
 1.46368347e+109
 2.96131353e+71
 1.15963537e+90
 1.25200306e+105
 6.47848612e+93
 1.81083299e+93
 6.44464348e+90
 4.83585919e+99
 3.09932902e+100
 2.14695193e+99
 2.62374028e+111
 1.10606335e+100
 1.77189259e+85
 8.78523185e+92
 4.83972241e+99
 1.37798983e+102
 1.67702816e+108
 4.07131497e+126
 2.64407765e+111
 5.14232923e+78
 8.46449184e+79
 1.51045097e+85
 1.79112922e+86
 1.75773721e+72
 1.88526347e+65
 5.77487192e+78
 4.28259563e+92
 1.20756201e+116
 1.70737681e+170
 6.23006806e+154
 4.52467285e+133
 1.89467255e+132
 4.92357469e+142
 4.10671056e+155
 1.66375093e+143
 9.93240788e+141
 5.07735108e+197
 7.01691322e+293
 5.80524990e+190
 8.94699511e+162
 9.77869518e+185
 1.28428160e+167
 1.30917688e+140
 9.40921085e+152
 3.97389349e+299
 Inf
 1.50843315e+142
 1.05966135e+129
 9.77490626e+173
 9.98859117e+141
 1.47817266e+129
 8.73040938e+160
 1.69387921e+193
 3.54844314e+184
 2.78910350e+139
 2.86377332e+149
 2.20006012e+158
 4.22278094e+120
 7.64769151e+148
 3.76635915e+152
 1.56868034e+112
 8.22808725e+112
 3.44686521e+113
 2.16970177e+110
 2.65389738e+113
 2.67641508e+83
 9.92435660e+73
 2.71580768e+90
 2.13062590e+126
 3.58233656e+124
 1.20902052e+112
 1.01395206e+136
 1.23399353e+146
 5.71057348e+147
 1.07916713e+150
 1.47988408e+181
 3.82493238e+206
 1.24018670e+232
 1.06817860e+200
 8.22735546e+177
 3.48753296e+175
 1.59444369e+159
 6.68901284e+141
 4.73496229e+131
 2.59606564e+159
 4.49470195e+141
 4.10566634e+155
 9.83986816e+280
 2.25181720e+180
 4.23419352e+137
 2.95092454e+171
 2.34291572e+191
 3.62517303e+158
 6.94712988e+149
 2.64226324e+267
 2.98350873e+209
 4.55782741e+133
 2.68593211e+132
 1.36317597e+141
 1.51788439e+154
 2.32583343e+119
 5.96030441e+139
 8.77428359e+147
 1.06901770e+98
 1.71767382e+83
 1.01203844e+87
 8.32888775e+89
 4.90693315e+88
 1.24228112e+92
 2.49088649e+117
 4.43656056e+121
 1.27188826e+93
 1.84189804e+103
 1.06648911e+217
 4.66542004e+274
 4.16156680e+150
 6.23099946e+140
 4.45022402e+149
 4.11333934e+155
 1.57480882e+151
 1.03050962e+219
 1.67729182e+218
 2.40061481e+131
 5.96455291e+153
 4.94735401e+142
 4.98851815e+109
 7.63530348e+132
 2.29397565e+198
 3.46618426e+232
 6.37269410e+179
 9.38921839e+171
 1.79840026e+235
 9.56644048e+238
 1.73338609e+165
 4.11291604e+150
 4.73420096e+191
 2.39096264e+251
 1.93562648e+175
 6.52744337e+136
 1.06861125e+201
 6.51459211e-06
 6.51898713e-06
 6.51630303e-06
 Inf
 Inf
 1.85465099e+235
 8.57744660e+143
 3.85125653e+176
 1.71980373e+165
 1.08314570e+127
 1.06358951e+93
 1.48439254e+92
 1.21616441e+97
 8.23056345e+95
 5.90693664e+139
 1.19099453e+203
 Inf
 9.79971083e+288
 5.02873579e+198
 8.14953601e+275
 1.70841710e+206
 1.01263856e+151
 2.84201265e+187
 8.90903238e+213
 8.86915283e+160
 4.40976924e+146
 4.90389911e+183
 2.28343971e+199
 6.53192610e+242
 1.83483543e+216
 1.49271617e+136
 1.91154229e+117
 9.15323408e+140
 1.68979851e+173
 5.82371455e+174
 4.06070334e+161
 4.50686554e+156
 5.31265828e+181
 2.21334075e+158
 4.16836034e+180
 1.68699935e+206
 7.34723860e+156
 1.91863645e+182
 6.65967797e+155
 6.00345024e+168
 3.69584537e+213
 1.93528099e+157
 5.29577110e+172
 1.08804382e+198
 6.37347772e+175
 1.31201265e+138
 1.76780216e+99
 4.80801529e+83
 1.74150853e+99
 1.03398563e+95
 1.81720715e+91
 1.26134138e+139
 1.06942429e+201
 7.48912460e+205
 2.34061913e+119
 3.86078005e+101
 3.10948666e+120
 2.75346472e+139
 1.10578934e+143
 3.10896866e+157
 3.04190935e+170
 1.34672213e+132
 4.22134099e+163
 2.05174933e+211
 4.96414404e+183
 1.14258512e+197
 5.19172813e+214
 4.06559512e+192
 3.90747442e+154
 3.77089633e+152
 2.10794880e+176
 1.03744120e+208
 2.52950018e+166
 3.75860141e+143
 1.66875852e+171
 2.39479115e+152
 6.09723471e+151
 1.11119963e+188
 Inf
 8.30084164e+275
 4.27083005e+137
 9.80637709e+119
 3.43540714e+175
 Inf
 4.77354134e+274
 1.69949774e+171
 8.29128014e+157
 1.49606709e+163
 2.80770492e+181
 2.97977889e+172
 4.96336137e+142
 5.89629904e+110
 6.18857731e+92
 8.24666781e+96
 4.62071727e+96
 1.81288404e+95
 7.12072516e+100
 1.95188519e+90
 6.45127129e+107
 1.96737384e+137
 8.31905136e+125
 4.46090720e+141
 1.19532393e+131
 5.91690566e+101
 1.70846643e+102
 8.12989154e+157
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.45195058e+277
 Inf
 6.51409398e-06
 6.51490589e-06
 6.51501056e-06
 6.51463965e-06
 6.51449908e-06
 6.51463394e-06
 6.51478495e-06
 6.51475090e-06
 6.51458712e-06
 6.51460996e-06
 6.51473139e-06
 6.51484883e-06
 6.51488116e-06
 Inf
 6.51441622e-06
 6.51441473e-06
 6.51470046e-06
 6.51476127e-06
 Inf
 Inf
 6.51437120e-06
 6.51464792e-06
 Inf
 6.51428748e-06
 6.51456115e-06
 6.51469118e-06
 Inf
 Inf
 Inf
 6.51432326e-06
 6.51461081e-06
 6.51469682e-06
 6.51484269e-06
 Inf
 6.51406852e-06
 6.51452245e-06
 6.51481412e-06
 6.51485456e-06
 6.51507970e-06
 6.51497196e-06
 6.51454646e-06
 6.51472075e-06
 6.51486361e-06
 6.51485218e-06
 6.51466748e-06
 6.51440933e-06
 6.51461468e-06
 2.88033134e+278
 3.40249906e+131
 7.32633229e+215
 3.32417480e+264
 1.30546892e+261
 Inf
 2.76066015e+278
 1.46403921e+225
 1.81692772e+235
 5.54069214e+224
 3.03652968e+253
 6.63051340e+204
 1.10552469e+133
 2.76304517e+139
 1.39715369e+190
 9.91040710e+173
 4.23218751e+120
 1.22038144e+113
 3.72792179e+152
 1.05332908e+128
 8.66454585e+103
 4.55407660e+110
 1.33118095e+158
 6.02676723e+121
 2.05183782e+113
 2.92642836e+172
 2.17103060e+173
 3.45958125e+168
 2.91913888e+144
 2.79492429e+181
 2.08874145e+230
 3.01445839e+126
 2.05617902e+129
 7.36285644e+142
 8.29328306e+107
 3.32164066e+131
 6.39730844e+212
 1.73472012e+262
 4.22916183e+180
 4.42510853e+231
 Inf
 Inf
 2.17103849e+242
 1.15667877e+168
 1.85623205e+246
 Inf
 8.90625400e+188
 3.37769476e+131
 1.79052166e+179
 6.51348410e-06
 Inf
 5.03308281e+135
 7.68102435e+148
 6.97466648e+189
 1.38962314e+228
 2.62542936e+219
 2.10961222e+224
 1.93749046e+157
 4.52666043e+133
 9.61375358e+178
 8.79130722e+263
 7.05943231e+241
 2.59393707e+183
 3.48582587e+254
 2.23124606e+158
 2.21539642e+95
 8.19376348e+107
 3.06102543e+136
 5.57562871e+169
 5.00377941e+165
 4.14089224e+119
 1.55843955e+112
 2.04478101e+127
 5.92292730e+152
 6.68099205e+141
 4.39249048e+146
 1.79847541e+179
 2.81295857e+178
 3.78738966e+153
 3.45640994e+254
 4.48126782e+281
 2.41147385e+118
 2.82388745e+140
 1.47801735e+194
 2.86606990e+140
 4.72047390e+191
 2.06830722e+192
 9.53103471e+172
 8.56366599e+165
 5.39282140e+196
 4.64617706e+274
 2.81775350e+229
 2.42438419e+177
 9.50149297e+183
 9.92612068e+280
 Inf
 Inf
 Inf
 Inf
 5.61557137e+224
 1.00133732e+281
 Inf
 Inf
 Inf
 3.09577641e+141
 6.08254223e+151
 4.37673087e+281
 5.44546343e+170
 4.41716728e+146
 3.99966671e+268
 Inf
 2.78129553e+278
 4.17841068e+255
 1.40338739e+228
 4.54808484e+156
 1.55451296e+130
 3.20883488e+148
 4.03956403e+161
 9.50084287e+131
 9.89512041e+154
 3.88330604e+154
 5.98276016e+138
 6.07844590e+151
 2.89526225e+137
 1.30283598e+138
 3.73740224e+143
 1.64422782e+135
 1.50647253e+152
 1.33410945e+183
 1.89613053e+134
 3.75330967e+153
 1.90494557e+244
 2.30319091e+199
 5.24051516e+178
 7.11791669e+176
 2.29178918e+241
 2.69922472e+267
 5.56112950e+224
 Inf
 1.98516881e+248
 2.07972290e+164
 4.94551840e+198
 1.44893889e+225
 1.47320338e+277
 2.75461153e+221
 5.69140668e+143
 3.30183391e+142
 2.49032651e+143
 1.51871908e+154
 1.23474059e+265
 1.82824356e+266
 Inf
 Inf
 Inf
 4.07398504e+285
 3.86882050e+167
 8.15460767e+145
 5.45390301e+208
 Inf
 Inf
 Inf
 5.40838509e+181
 3.20107667e+238
 2.76478113e+259
 5.97573457e+203
 1.32831319e+134
 1.84108909e+115
 9.40683826e+112
 1.09217388e+117
 1.72541890e+83
 4.10117215e+71
 2.60808174e+113
 3.15884177e+160
 2.85206416e+140
 1.27522885e+144
 1.47758739e+136
 5.65641919e+126
 3.21068947e+125
 1.03826253e+169
 Inf
 Inf
 Inf
 6.51416595e-06
 6.49598362e-06
 4.47469653e+255
 2.74507472e+273
 Inf
 Inf
 Inf
 6.51445947e-06
 Inf
 Inf
 Inf
 Inf
 2.75590832e+297
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51416064e-06
 6.51447283e-06
 6.51471389e-06
 6.51471282e-06
 6.51568943e-06
 6.51627594e-06
 6.51650910e-06
 6.51641667e-06
 6.51618369e-06
 6.51600440e-06
 6.51661608e-06
 6.51638560e-06
 6.51550362e-06
 9.48859208e+282
 3.49055469e+276
 Inf
 Inf
 3.37736779e+205
 1.23995934e+232
 Inf
 Inf
 1.22350452e+279
 1.08034557e+221
 Inf
 1.20779347e+223
 Inf
 Inf
 Inf
 6.51430863e-06
 Inf
 Inf
 6.51414928e-06
 6.51452352e-06
 6.51461164e-06
 6.51458244e-06
 Inf
 Inf
 Inf
 6.51430674e-06
 Inf
 Inf
 Inf
 Inf
 6.51417672e-06
 6.51442351e-06
 6.51487035e-06
 6.51464889e-06
 6.51460674e-06
 Inf
 Inf
 6.51415311e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51415739e-06
 6.51493211e-06
 Inf
 6.51430145e-06
 Inf
 Inf
 1.42657180e+298
 1.85918201e+169
 1.89244496e+134
 2.49428982e+166
 5.73322701e+147
 2.69420037e+132
 3.99438771e+283
 Inf
 Inf
 Inf
 6.63384547e+262
 Inf
 2.70854400e+252
 6.38522985e+179
 8.69265593e+206
 Inf
 Inf
 Inf
 6.51394967e-06
 6.51511696e-06
 6.51590777e-06
 6.51529565e-06
 6.51468651e-06
 6.51520214e-06
 6.51532291e-06
 6.51499523e-06
 6.51510635e-06
 6.51640418e-06
 6.51597771e-06
 6.51530133e-06
 6.51502642e-06
 1.17977621e+291
 2.22246460e+250
 1.24798004e+232
 1.12190418e+291
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51419182e-06
 6.51445983e-06
 6.51489400e-06
 6.51492644e-06
 6.51453103e-06
 6.51447565e-06
 6.51468701e-06
 6.51457733e-06
 6.51439077e-06
 6.51527652e-06
 6.51529028e-06
 1.49325057e+298
 Inf
 6.51444698e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 4.19425402e+299
 Inf
 6.51404705e-06
 6.51448821e-06
 6.51464244e-06
 6.51452666e-06
 6.51461095e-06
 6.51462007e-06
 6.51444900e-06
 6.51469618e-06
 6.51484436e-06
 6.51477062e-06
 6.51447189e-06
 6.51465975e-06
 6.51468665e-06
 6.51495011e-06
 6.51541766e-06
 6.51581982e-06
 6.51564444e-06
 6.51517859e-06
 6.51490679e-06
 6.51500888e-06
 6.51488087e-06
 6.51517588e-06
 6.51578119e-06
 6.51534320e-06
 6.51482306e-06
 6.51489572e-06
 6.51537949e-06
 6.51548019e-06
 6.51568609e-06
 6.51530222e-06
 6.51469880e-06
 6.51497250e-06
 6.51527111e-06
 6.51503078e-06
 6.51483852e-06
 6.51465670e-06
 6.51484437e-06
 6.51574761e-06
 6.51568853e-06
 6.51517054e-06
 6.51463198e-06
 6.51486740e-06
 6.51497917e-06
 Inf
 Inf
 6.51436890e-06
 6.51454095e-06
 6.51482079e-06
 Inf
 6.51438223e-06
 6.51456796e-06
 Inf
 Inf
 6.51431863e-06
 6.51445046e-06
 6.51457866e-06
 6.51477285e-06
 6.51480553e-06
 Inf
 Inf
 6.51416259e-06
 6.51481311e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51437893e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51436757e-06
 Inf
 Inf
 6.51403535e-06
 6.51463087e-06
 Inf
 Inf
 Inf
 6.51394182e-06
 6.51454342e-06
 Inf
 6.51420499e-06
 6.51450643e-06
 6.51476501e-06
 6.51452320e-06
 6.51450350e-06
 6.51468060e-06
 6.51479838e-06
 6.51460148e-06
 6.51455113e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.93721238e+211
 1.69602043e+206
 Inf
 Inf
 Inf
 Inf
 6.51410133e-06
 6.51462333e-06
 Inf
 Inf
 6.51430112e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51438331e-06
 6.51437858e-06
 6.51475112e-06
 6.51459493e-06
 6.51472455e-06
 6.51495955e-06
 6.51487084e-06
 6.51471162e-06
 6.51453162e-06
 6.51467515e-06
 6.51446866e-06
 6.51468624e-06
 6.51493560e-06
 6.51476460e-06
 6.51448938e-06
 Inf
 Inf
 Inf
 6.51424253e-06
 6.51451757e-06
 6.51457833e-06
 Inf
 Inf
 Inf
 2.40109054e+201
 1.50393619e+236
 4.06101883e+299
 2.96986186e+165
 1.36964022e+121
 9.92373648e+106
 3.19465450e+107
 1.72740750e+119
 5.80450636e+117
 2.35076003e+153
 3.48383811e+189
 9.60695085e+153
 3.65392412e+182
 2.78995328e+195
 5.64266796e+169
 3.47357308e+254
 Inf
 Inf
 2.46343637e+251
 3.08489757e+173
 3.42307985e+276
 Inf
 7.75598013e+229
 8.76243421e+206
 1.26002305e+215
 Inf
 Inf
 7.85049416e+229
 9.00000774e+252
 Inf
 Inf
 Inf
 Inf
 Inf
 1.01618319e+281
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51538370e-06
 6.52831237e-06
 6.53059561e-06
 6.52571506e-06
 6.51877988e-06
 6.51583401e-06
 6.51477861e-06
 6.51467773e-06
 6.51484434e-06
 6.51459631e-06
 6.51467519e-06
 6.51480673e-06
 6.51463382e-06
 Inf
 Inf
 Inf
 Inf
 6.51430673e-06
 6.51474662e-06
 6.51463769e-06
 6.51464239e-06
 6.51503499e-06
 6.51574189e-06
 6.51628304e-06
 6.51633724e-06
 6.51898661e-06
 6.52308387e-06
 6.52477951e-06
 6.52409491e-06
 6.52574780e-06
 6.52821796e-06
 6.52670055e-06
 6.52015176e-06
 6.52064858e-06
 6.52992179e-06
 6.52843953e-06
 6.52751583e-06
 6.52818895e-06
 6.52737638e-06
 6.45473999e-06
 6.52895734e-06
 6.52885226e-06
 6.52694171e-06
 6.52641051e-06
 6.52993589e-06
 6.52786411e-06
 6.52129206e-06
 6.52011883e-06
 6.52148744e-06
 6.51965347e-06
 6.51866650e-06
 6.52087851e-06
 6.52461437e-06
 6.52440207e-06
 6.52033368e-06
 6.51847035e-06
 6.51943942e-06
 6.52024357e-06
 6.51845939e-06
 6.51748573e-06
 6.51774641e-06
 6.51786719e-06
 6.51732812e-06
 6.51719424e-06
 6.51691311e-06
 6.51621645e-06
 6.51699165e-06
 6.51664775e-06
 6.51574560e-06
 6.51523763e-06
 6.51501898e-06
 6.51521346e-06
 6.51563886e-06
 6.51542484e-06
 6.51509911e-06
 6.51558545e-06
 6.51558715e-06
 6.51509658e-06
 6.51457795e-06
 6.51483294e-06
 6.51504647e-06
 6.51543628e-06
 6.49374951e-06
 6.51529146e-06
 6.51485621e-06
 6.51505349e-06
 6.51549954e-06
 6.51595864e-06
 6.51580948e-06
 6.51556746e-06
 6.51552091e-06
 6.51537593e-06
 6.51510377e-06
 6.51468542e-06
 6.51452517e-06
 6.51537976e-06
 6.51536878e-06
 6.51500298e-06
 6.51497229e-06
 6.51635280e-06
 6.51666216e-06
 6.51687497e-06
 6.51678161e-06
 6.51671246e-06
 6.51636084e-06
 6.51615385e-06
 6.51676488e-06
 6.51745627e-06
 6.51760814e-06
 6.51695369e-06
 6.51675135e-06
 6.51687143e-06
 6.51607518e-06
 6.51576646e-06
 6.51672152e-06
 6.51698234e-06
 6.51684074e-06
 6.51706582e-06
 6.51827455e-06
 6.51878277e-06
 6.51768613e-06
 6.51745165e-06
 6.51740743e-06
 6.51661194e-06
 6.51560523e-06
 6.51538855e-06
 6.51594731e-06
 6.51602856e-06
 6.51618088e-06
 6.51656553e-06
 6.51625333e-06
 6.51541339e-06
 6.51481211e-06
 6.51457123e-06
 6.51481282e-06
 Inf
 6.51451056e-06
 6.51436315e-06
 6.51468642e-06
 6.51471450e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51440880e-06
 6.51450184e-06
 Inf
 6.51427394e-06
 6.51446885e-06
 Inf
 Inf
 6.51438267e-06
 Inf
 Inf
 Inf
 6.51426583e-06
 Inf
 Inf
 Inf
 6.51434394e-06
 Inf
 Inf
 Inf
 6.51403600e-06
 6.51443793e-06
 Inf
 Inf
 6.51443001e-06
 Inf
 6.51504414e-06
 6.51642274e-06
 Inf
 4.56604160e+216
 6.89498398e+209
 Inf
 2.70818907e+252
 4.22549864e+180
 4.69515066e+261
 1.00696849e+281
 1.83245878e+179
 5.17392529e+214
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.16746576e+242
 Inf
 6.51416776e-06
 Inf
 Inf
 6.51422362e-06
 6.51441513e-06
 6.51466625e-06
 Inf
 Inf
 6.51430737e-06
 6.51465595e-06
 6.51448338e-06
 6.51451681e-06
 6.51457341e-06
 6.51492078e-06
 Inf
 6.51428106e-06
 6.51467626e-06
 Inf
 Inf
 6.51411215e-06
 6.51471172e-06
 Inf
 Inf
 6.51414054e-06
 Inf
 Inf
 Inf
 6.51442984e-06
 6.51452579e-06
 1.45614361e+293
 Inf
 6.51412789e-06
 Inf
 6.51448106e-06
 Inf
 6.51437815e-06
 6.51460425e-06
 Inf
 Inf
 Inf
 Inf
 6.51406434e-06
 6.51454899e-06
 1.35475962e+261
 1.68720404e+172
 Inf
 Inf
 Inf
 Inf
 6.51412766e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51430594e-06
 Inf
 Inf
 6.51428319e-06
 6.51494683e-06
 Inf
 6.51444678e-06
 6.51450750e-06
 6.51499349e-06
 Inf
 Inf
 6.51412387e-06
 6.51466884e-06
 6.51486309e-06
 6.51453840e-06
 6.51454988e-06
 6.51473512e-06
 6.51461255e-06
 6.51449773e-06
 6.51488707e-06
 6.51507409e-06
 Inf
 6.51411227e-06
 6.51462008e-06
 Inf
 Inf
 6.51435607e-06
 6.51459793e-06
 6.51469441e-06
 6.51460463e-06
 6.51435867e-06
 6.51467143e-06
 6.51474520e-06
 6.51470529e-06
 6.51478412e-06
 6.51492704e-06
 Inf
 6.51425785e-06
 6.51450823e-06
 6.51484004e-06
 6.51455738e-06
 6.51454511e-06
 6.51497837e-06
 6.51511261e-06
 Inf
 6.51425965e-06
 6.51470915e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51390718e-06
 6.51457446e-06
 Inf
 6.51413462e-06
 6.51562919e-06
 6.51551400e-06
 Inf
 6.51436376e-06
 Inf
 Inf
 Inf
 6.51432164e-06
 6.51455857e-06
 6.51474668e-06
 6.51485264e-06
 6.51446849e-06
 Inf
 Inf
 6.51412035e-06
 6.51447635e-06
 6.51465576e-06
 Inf
 Inf
 6.51421680e-06
 6.51471730e-06
 6.51458887e-06
 6.51449358e-06
 6.51449282e-06
 6.51468112e-06
 6.51479212e-06
 6.51472095e-06
 6.51464001e-06
 6.51474970e-06
 Inf
 6.51439899e-06
 Inf
 Inf
 6.51405646e-06
 6.51486342e-06
 6.51525437e-06
 Inf
 Inf
 6.51419830e-06
 6.51478278e-06
 6.51464927e-06
 6.51441713e-06
 6.51495650e-06
 6.51497355e-06
 6.51474745e-06
 6.51437564e-06
 6.51485151e-06
 Inf