6.51900821e-06
 6.51959098e-06
 6.51976845e-06
 6.52026142e-06
 6.52102463e-06
 6.52043510e-06
 6.51967706e-06
 6.51906085e-06
 6.51835081e-06
 6.51737836e-06
 6.51743776e-06
 6.52045601e-06
 6.52160059e-06
 6.52039685e-06
 6.51943374e-06
 6.51855046e-06
 6.51962462e-06
 6.52068231e-06
 6.52056449e-06
 6.52098717e-06
 6.52175014e-06
 6.51792903e-06
 6.51570582e-06
 6.51463582e-06
 6.51484418e-06
 6.51478200e-06
 6.51500470e-06
 6.51530500e-06
 6.51515437e-06
 6.51507482e-06
 6.51502008e-06
 6.51485296e-06
 6.51462583e-06
 6.51487133e-06
 6.51499333e-06
 6.51489991e-06
 Inf
 6.51434595e-06
 6.51469631e-06
 6.51476859e-06
 6.51467796e-06
 6.51504274e-06
 6.51511821e-06
 6.51557667e-06
 6.51539878e-06
 6.51499618e-06
 6.51490778e-06
 6.51524396e-06
 6.51543885e-06
 6.51527342e-06
 6.51499921e-06
 6.51473921e-06
 6.51484336e-06
 6.51668043e-06
 6.51936971e-06
 6.52061833e-06
 6.51935988e-06
 6.51693529e-06
 6.51611744e-06
 6.51718223e-06
 6.51844121e-06
 6.51811211e-06
 6.51759343e-06
 6.51738729e-06
 6.51769171e-06
 6.51785565e-06
 6.51671631e-06
 6.51697310e-06
 6.51925425e-06
 6.51952454e-06
 6.51894982e-06
 6.51898870e-06
 6.51898473e-06
 6.51865319e-06
 6.51933251e-06
 6.51916990e-06
 6.51911649e-06
 6.52000033e-06
 6.52111456e-06
 6.52184331e-06
 6.52185224e-06
 6.52086554e-06
 6.52039820e-06
 6.52094458e-06
 6.52116098e-06
 6.52091137e-06
 6.52068045e-06
 6.52061275e-06
 6.51964788e-06
 6.52062232e-06
 6.52158450e-06
 6.52061836e-06
 6.52038077e-06
 6.51970181e-06
 6.51964675e-06
 6.52053582e-06
 6.52183257e-06
 6.52130936e-06
 6.52099998e-06
 6.52224520e-06
 6.52181345e-06
 6.52163585e-06
 6.52197554e-06
 6.52167779e-06
 6.52858618e-06
 6.52839867e-06
 6.52078214e-06
 6.52009775e-06
 6.52101101e-06
 6.52084926e-06
 6.52085506e-06
 6.52143974e-06
 6.52084787e-06
 6.52015126e-06
 6.51635548e-06
 Inf
 6.51400106e-06
 6.51490074e-06
 6.51490807e-06
 6.51485505e-06
 6.51505683e-06
 6.51506636e-06
 6.51527397e-06
 6.51557937e-06
 6.51633958e-06
 6.51624683e-06
 6.51547954e-06
 6.51497253e-06
 6.51461860e-06
 6.51530067e-06
 6.51566677e-06
 6.51529535e-06
 6.51504156e-06
 Inf
 6.51443859e-06
 Inf
 6.51431188e-06
 6.51456946e-06
 6.51509920e-06
 6.51500144e-06
 6.51479429e-06
 6.51533533e-06
 6.51539414e-06
 6.51516512e-06
 6.51531309e-06
 6.51518751e-06
 6.51499274e-06
 6.51504588e-06
 6.51503972e-06
 6.51536911e-06
 6.51548865e-06
 6.51516194e-06
 6.51462558e-06
 6.51490486e-06
 6.51553659e-06
 6.51537822e-06
 6.51507431e-06
 6.51518335e-06
 6.51539136e-06
 6.51524164e-06
 6.51495119e-06
 6.51477615e-06
 6.51509404e-06
 6.51508741e-06
 6.51559448e-06
 6.51558579e-06
 6.51518047e-06
 6.51499036e-06
 6.51495305e-06
 6.51451811e-06
 6.51455695e-06
 6.51481621e-06
 6.51544983e-06
 6.51525916e-06
 6.51481234e-06
 6.51469629e-06
 6.51490728e-06
 6.51510568e-06
 6.49901533e-06
 6.51508347e-06
 6.51524699e-06
 6.51564290e-06
 6.51527316e-06
 6.51471775e-06
 6.51486610e-06
 6.51494328e-06
 6.51499043e-06
 6.51511568e-06
 6.51518666e-06
 6.51514031e-06
 6.51491633e-06
 6.51474821e-06
 6.51468408e-06
 6.51453685e-06
 6.51467540e-06
 6.51454151e-06
 6.51459559e-06
 6.51447565e-06
 6.51453708e-06
 6.51484850e-06
 Inf
 Inf
 Inf
 6.51437738e-06
 6.51437934e-06
 6.51467813e-06
 6.51478860e-06
 6.51481700e-06
 6.51485869e-06
 Inf
 6.51430529e-06
 6.51464330e-06
 6.51490682e-06
 6.51491142e-06
 6.51504534e-06
 6.51501955e-06
 6.51460774e-06
 6.51439906e-06
 6.51468716e-06
 6.51470016e-06
 6.51464238e-06
 6.51495295e-06
 6.51520804e-06
 6.51567656e-06
 6.51551365e-06
 6.51510680e-06
 6.51532789e-06
 6.51551420e-06
 6.51513685e-06
 6.51465581e-06
 6.51484472e-06
 6.51467861e-06
 6.51477598e-06
 6.51492677e-06
 6.51498320e-06
 6.51494786e-06
 6.51492944e-06
 6.51570038e-06
 6.51600985e-06
 6.51536235e-06
 6.51477610e-06
 6.51481004e-06
 6.51466267e-06
 6.51477927e-06
 6.51555074e-06
 6.51546471e-06
 6.51548058e-06
 6.51568932e-06
 6.51569322e-06
 6.51560363e-06
 6.51582634e-06
 6.51568648e-06
 6.51600027e-06
 6.51719264e-06
 6.51680349e-06
 6.51681401e-06
 6.51751740e-06
 6.51669490e-06
 6.51582173e-06
 6.51638465e-06
 6.51741422e-06
 6.51636811e-06
 6.51549125e-06
 6.51605702e-06
 6.51693401e-06
 6.51683011e-06
 6.51668171e-06
 6.51609239e-06
 6.51573555e-06
 6.51532647e-06
 6.51493003e-06
 6.51499836e-06
 6.51517456e-06
 6.51499777e-06
 6.51513018e-06
 6.51522136e-06
 6.51515101e-06
 6.51534290e-06
 6.51588635e-06
 6.51545023e-06
 Inf
 6.51432822e-06
 6.51492224e-06
 6.51553632e-06
 6.51569527e-06
 6.51571655e-06
 6.51563234e-06
 6.51567845e-06
 6.51638305e-06
 6.51661880e-06
 6.51683247e-06
 6.51693609e-06
 6.51600773e-06
 6.51545505e-06
 6.51548874e-06
 6.51562651e-06
 6.51552362e-06
 6.51526557e-06
 6.51548963e-06
 6.51603569e-06
 6.51616918e-06
 6.51698796e-06
 6.51762810e-06
 6.51687580e-06
 6.51621329e-06
 6.51655702e-06
 6.51738906e-06
 6.51710872e-06
 6.51605499e-06
 6.51534813e-06
 6.51540588e-06
 6.51605209e-06
 6.51617253e-06
 6.51543851e-06
 6.51481358e-06
 6.51469255e-06
 6.51533859e-06
 6.51578316e-06
 6.51584330e-06
 6.51632294e-06
 6.51680074e-06
 6.51595208e-06
 6.51550818e-06
 6.51549256e-06
 6.51540268e-06
 6.51559811e-06
 6.51576268e-06
 6.51618510e-06
 6.51614805e-06
 6.51581712e-06
 6.51607466e-06
 6.51667398e-06
 6.51681134e-06
 6.51697739e-06
 6.51673527e-06
 6.51609853e-06
 6.51569638e-06
 6.51523927e-06
 6.51479690e-06
 6.51453936e-06
 6.51477003e-06
 6.51502117e-06
 Inf
 Inf
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 6.51439079e-06
 6.51447861e-06
 6.51455572e-06
 6.51454613e-06
 6.51457568e-06
 6.51461743e-06
 6.51458513e-06
 6.51464427e-06
 6.51494198e-06
 6.51501196e-06
 6.51488679e-06
 6.51506551e-06
 6.51503257e-06
 6.51495655e-06
 6.51446782e-06
 6.51446191e-06
 6.51492842e-06
 6.51582857e-06
 6.51638943e-06
 6.51562623e-06
 6.51499914e-06
 6.51491723e-06
 6.51455763e-06
 6.51438915e-06
 6.51470307e-06
 6.51661114e-06
 6.52167945e-06
 6.51935154e-06
 6.51791571e-06
 6.51821901e-06
 6.51897199e-06
 6.52049461e-06
 6.51923768e-06
 6.51842394e-06
 6.52007057e-06
 6.52090713e-06
 6.51943916e-06
 6.51790324e-06
 6.51848634e-06
 6.52014904e-06
 6.51987133e-06
 6.51936855e-06
 6.51961981e-06
 6.51888671e-06
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 6.51907210e-06
 6.52026655e-06
 6.51912016e-06
 6.51878545e-06
 6.52163218e-06
 6.52301474e-06
 6.52177778e-06
 6.52030131e-06
 6.51900868e-06
 6.51845656e-06
 6.51755335e-06
 6.51782919e-06
 6.51967820e-06
 6.51941169e-06
 6.51899206e-06
 6.51785491e-06
 6.51688149e-06
 6.51696909e-06
 6.51635191e-06
 6.51615990e-06
 6.51679972e-06
 6.51665067e-06
 6.51631436e-06
 6.51673620e-06
 6.52013987e-06
 6.52228958e-06
 6.51929705e-06
 6.51917422e-06
 6.51957652e-06
 6.51906158e-06
 6.51989304e-06
 6.52004164e-06
 6.51799585e-06
 6.51583493e-06
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 6.51498623e-06
 6.51507850e-06
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 6.51946997e-06
 6.52059789e-06
 6.51967509e-06
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 6.48163386e-06
 6.51790496e-06
 6.51925649e-06
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 6.52045920e-06
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 6.52031087e-06
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 6.51847848e-06
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 6.52049997e-06
 6.51952726e-06
 6.51858784e-06
 6.51876903e-06
 6.51907820e-06
 6.51836251e-06
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 6.51919077e-06
 6.51897181e-06
 6.51957905e-06
 6.51895217e-06
 6.51743858e-06
 6.51611008e-06
 6.51605369e-06
 6.51763762e-06
 6.51739296e-06
 6.51722828e-06
 6.51943992e-06
 6.51916625e-06
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 6.51691449e-06
 6.51673277e-06
 6.51659998e-06
 6.51655966e-06
 6.51811684e-06
 6.52097533e-06
 6.52132776e-06
 6.52100546e-06
 6.52071468e-06
 6.51957228e-06
 6.51957070e-06
 6.52031774e-06
 6.51889687e-06
 6.51989655e-06
 6.52099860e-06
 6.52012290e-06
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 6.51571868e-06
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 6.51543022e-06
 6.51533514e-06
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 6.51566428e-06
 6.51527102e-06
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 6.51450035e-06
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 6.51531929e-06
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 6.51484921e-06
 6.51498796e-06
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 6.51710767e-06
 6.52137896e-06
 6.52178012e-06
 6.52045244e-06
 6.52011709e-06
 6.52034344e-06
 6.51975863e-06
 6.52182460e-06
 6.52211118e-06
 6.51950391e-06
 6.51893484e-06
 6.51876151e-06
 6.51954611e-06
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 6.52265981e-06
 6.52030245e-06
 6.51872053e-06
 6.51735255e-06
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 6.51850294e-06
 6.52102789e-06
 6.52146984e-06
 6.52316706e-06
 6.52197800e-06
 6.52202923e-06
 6.52202123e-06
 6.52049649e-06
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 6.52083250e-06
 6.52283571e-06
 6.52163969e-06
 6.51933817e-06
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 6.51845086e-06
 6.51711060e-06
 6.51693553e-06
 6.51644566e-06
 6.51547402e-06
 6.51481719e-06
 6.51474827e-06
 6.51498946e-06
 6.51509789e-06
 6.51509171e-06
 6.51521787e-06
 6.51574251e-06
 6.51609413e-06
 6.51573598e-06
 6.51595625e-06
 6.51679166e-06
 6.51622865e-06
 6.51712968e-06
 6.51972908e-06
 6.51862229e-06
 6.51872653e-06
 6.51902170e-06
 6.51818092e-06
 6.51881965e-06
 6.52100427e-06
 6.52088016e-06
 6.51956210e-06
 6.51909246e-06
 6.51884305e-06
 6.51914290e-06
 6.51924575e-06
 6.51853035e-06
 6.51774142e-06
 6.51805209e-06
 6.51932333e-06
 6.52193535e-06
 6.52311238e-06
 6.52129971e-06
 6.52067151e-06
 6.52058159e-06
 6.52161642e-06
 6.52017547e-06
 6.51860774e-06
 6.52029569e-06
 6.53247597e-06
 6.54755685e-06
 6.53834446e-06
 6.52747348e-06
 6.52313373e-06
 6.52452968e-06
 6.52460021e-06
 6.52313197e-06
 6.52376108e-06
 6.52189956e-06
 6.52001892e-06
 6.52100100e-06
 6.52076364e-06
 6.51964685e-06
 6.51967704e-06
 6.52108943e-06
 6.52099373e-06
 6.51955728e-06
 6.51883411e-06
 6.51879112e-06
 6.51959332e-06
 6.52001526e-06
 6.52088385e-06
 6.51972533e-06
 6.51949007e-06
 6.52065998e-06
 6.52017480e-06
 6.52019088e-06
 6.51891766e-06
 6.51777172e-06
 6.51691811e-06
 6.51593270e-06
 6.51529876e-06
 6.51531175e-06
 6.51642394e-06
 6.51668026e-06
 6.51605743e-06
 6.51561216e-06
 6.51567794e-06
 6.51588747e-06
 6.51563864e-06
 6.51547206e-06
 6.51586997e-06
 6.51678156e-06
 6.51963809e-06
 6.51817971e-06
 6.51587463e-06
 6.51509445e-06
 6.51723269e-06
 6.51674569e-06
 6.51622815e-06
 6.51710746e-06
 6.51757755e-06
 6.51590531e-06
 Inf
 6.51400232e-06
 6.51444110e-06
 6.51488136e-06
 6.51501269e-06
 6.51485177e-06
 6.51470549e-06
 Inf
 6.51428352e-06
 6.51442294e-06
 6.51480472e-06
 Inf
 Inf
 Inf
 6.51434699e-06
 6.51475653e-06
 Inf
 6.51428424e-06
 6.51440804e-06
 6.51462281e-06
 6.51485913e-06
 6.51455680e-06
 6.51461839e-06
 6.51505877e-06
 Inf
 Inf
 Inf
 6.51437463e-06
 6.51446378e-06
 6.51475379e-06
 6.51479749e-06
 6.51467458e-06
 Inf
 Inf
 6.51437050e-06
 6.51456519e-06
 Inf
 Inf
 6.51427716e-06
 6.51436365e-06
 6.51477939e-06
 Inf
 Inf
 Inf
 Inf
 6.51433194e-06
 Inf
 Inf
 Inf
 6.03552068e+246
 1.74410522e+262
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
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 6.51422484e-06
 6.51513698e-06
 6.51513775e-06
 6.51626642e-06
 6.51566848e-06
 6.51488817e-06
 6.51445031e-06
 6.51481317e-06
 6.51454506e-06
 6.51463214e-06
 6.51466148e-06
 6.51448363e-06
 6.51471482e-06
 6.51516953e-06
 6.51503288e-06
 6.51477496e-06
 6.51481708e-06
 Inf
 Inf
 6.51449974e-06
 6.51517113e-06
 6.51461598e-06
 6.51463025e-06
 6.51494999e-06
 6.51472495e-06
 6.51459853e-06
 6.51470669e-06
 6.51482992e-06
 6.51466561e-06
 6.51473690e-06
 6.51474824e-06
 6.51468618e-06
 Inf
 Inf
 6.51425467e-06
 6.51452726e-06
 6.51472926e-06
 6.51469523e-06
 6.51472091e-06
 6.51488145e-06
 Inf
 Inf
 6.51424197e-06
 6.51500396e-06
 6.51592302e-06
 6.51595070e-06
 6.51533691e-06
 6.51490265e-06
 6.51450539e-06
 6.51495196e-06
 6.51511136e-06
 6.51506574e-06
 6.51534528e-06
 6.51521256e-06
 6.51496297e-06
 6.51481104e-06
 6.51462400e-06
 6.51501703e-06
 6.51514791e-06
 Inf
 2.84555753e+292
 Inf
 6.51403734e-06
 Inf
 Inf
 Inf
 6.51415170e-06
 6.51486464e-06
 6.51576441e-06
 6.51536133e-06
 Inf
 Inf
 Inf
 2.29367626e+280
 2.42273008e+251
 4.07090671e+299
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51419786e-06
 6.51439910e-06
 Inf
 8.96709977e+210
 3.59299408e+294
 Inf
 6.51387213e-06
 6.51568444e-06
 6.51584133e-06
 6.51537034e-06
 6.51513679e-06
 6.51491315e-06
 6.51488988e-06
 Inf
 Inf
 Inf
 Inf
 3.12694350e+170
 1.65210840e+135
 1.04143110e+169
 2.56245076e+196
 4.51902949e+141
 3.31490107e+121
 9.52121532e+151
 Inf
 Inf
 8.70374608e+165
 7.19786587e+193
 6.51351926e-06
 6.51497759e-06
 1.39121155e+185
 1.02255269e+254
 2.01290810e+288
 Inf
 Inf
 Inf
 2.09529217e+211
 1.20969636e+203
 2.85088771e+190
 2.71174542e+132
 7.17320140e+94
 4.07566528e+104
 4.17844543e+163
 2.28411236e+200
 3.00636640e+126
 1.87651812e+146
 9.93124728e+154
 8.95939767e+137
 1.76750805e+174
 9.49970574e+170
 Inf
 6.51413829e-06
 6.51473455e-06
 Inf
 1.72081086e+150
 Inf
 Inf
 6.51440578e-06
 Inf
 Inf
 6.51417057e-06
 6.51448381e-06
 6.51511758e-06
 6.51600976e-06
 6.51625823e-06
 6.51565064e-06
 6.51539523e-06
 6.51519098e-06
 Inf
 Inf
 6.51436625e-06
 6.51437992e-06
 6.51469740e-06
 Inf
 Inf
 Inf
 Inf
 6.51419013e-06
 Inf
 Inf
 1.10680350e+238
 1.27741525e+237
 7.52973307e+298
 5.60723198e+291
 Inf
 6.51409023e-06
 6.51462226e-06
 6.51485426e-06
 1.94056741e+295
 1.71112113e+206
 Inf
 1.05801748e+268
 9.60454755e+238
 Inf
 Inf
 2.76554725e+221
 4.76196739e+265
 Inf
 Inf
 1.08280423e+221
 3.10465885e+223
 5.48898295e+202
 2.19608232e+250
 1.53123051e+178
 7.58257058e+240
 Inf
 1.84031684e+179
 2.50685917e+143
 4.45297543e+149
 3.03887459e+173
 2.43725271e+161
 4.49315968e+136
 8.22986350e+157
 2.77519675e+195
 3.53998687e+145
 1.84810234e+149
 2.69533276e+221
 7.01988841e+241
 9.57498256e+238
 2.83960178e+181
 4.53082910e+207
 2.75184631e+233
 1.99831391e+207
 2.37174954e+263
 1.28137045e+237
 2.65678860e+150
 1.90140489e+132
 2.55259104e+185
 Inf
 4.83954813e+261
 6.39042646e+179
 2.73384748e+259
 8.99962590e+213
 6.15387039e+151
 2.96219072e+172
 7.57185212e+240
 2.30233496e+199
 Inf
 Inf
 2.36459831e+198
 5.75972586e+147
 6.71219124e+124
 5.25507273e+160
 1.69791277e+173
 2.19968703e+234
 Inf
 4.23251473e+218
 3.84881298e+206
 Inf
 2.42785447e+251
 3.77459734e+210
 4.98763686e+256
 Inf
 Inf
 8.91168350e+210
 Inf
 Inf
 1.80560629e+257
 1.23523064e+196
 Inf
 1.05650597e+219
 6.51353664e-06
 6.51479126e-06
 6.51506366e-06
 6.51446376e-06
 Inf
 3.52679143e+276
 Inf
 6.51416622e-06
 6.51485948e-06
 Inf
 Inf
 1.10103103e+221
 2.39134408e+135
 4.52816642e+93
 3.16217195e+94
 3.42731089e+108
 1.68047976e+108
 Inf
 6.51394220e-06
 Inf
 5.43119870e+145
 4.07911862e+107
 2.87802826e+165
 1.91280679e+186
 4.33501385e+98
 5.59845339e+111
 1.21092224e+123
 2.01393735e+112
 9.26399093e+115
 2.44471782e+151
 1.05764493e+221
 4.46405918e+125
 6.16640150e+154
 5.11605481e+201
 2.42519866e+197
 Inf
 1.27227448e+265
 4.51203695e+216
 Inf
 6.29138195e+243
 8.22680966e+145
 2.22174243e+133
 1.14716986e+176
 7.45463835e+205
 Inf
 Inf
 5.32915836e+201
 3.04109123e+141
 1.07023816e+201
 8.15367535e+275
 2.73823532e+278
 Inf
 Inf
 8.99760332e+160
 7.98629764e+134
 6.26006314e+179
 3.21161077e+160
 2.14322867e+136
 4.50769757e+133
 8.08491064e+121
 3.03273021e+123
 5.39660327e+132
 9.61091808e+178
 1.28283881e+167
 6.75095881e+146
 8.62193715e+206
 1.20892776e+203
 4.49703493e+149
 6.50247371e+219
 Inf
 7.09655102e+221
 2.22461731e+158
 1.04427936e+124
 4.96986778e+109
 1.86698058e+109
 1.29832438e+119
 9.85557604e+154
 1.36731048e+293
 Inf
 4.83151388e+191
 1.60101284e+210
 1.02517944e+229
 3.14910952e+72
 3.24974331e+72
 1.83905093e+182
 1.67098033e+143
 2.38150159e+152
 2.82272650e+190
 1.53169792e+154
 5.41826982e+202
 Inf
 Inf
 1.33655894e+204
 8.93550655e+213
 1.15576886e+212
 3.72057995e+237
 Inf
 7.35694766e+250
 Inf
 4.71890065e+274
 1.80910994e+222
 2.54371248e+163
 1.00482652e+226
 Inf
 5.39774615e+172
 1.21563645e+173
 6.55064941e+204
 6.95017913e+266
 2.38265422e+201
 3.54249009e+145
 2.46605306e+121
 9.99405231e+144
 1.53394055e+213
 4.03900281e+271
 6.76296739e+249
 8.11016561e+223
 7.51426794e+205
 9.73964620e+191
 7.39228733e+186
 1.01286310e+145
 1.84787123e+149
 1.30497143e+140
 2.19512644e+158
 1.66416857e+172
 7.36600664e+186
 1.41255647e+190
 1.67386727e+172
 1.97494733e+192
 5.02214806e+165
 7.17408062e+250
 Inf
 7.11475335e+241
 5.42787321e+170
 1.05004565e+169
 6.72468645e+131
 2.77823693e+138
 1.05168212e+199
 7.87870259e+126
 8.06303563e+104
 3.28326327e+121
 2.15475832e+126
 3.40250007e+111
 8.67293633e+138
 2.08357881e+148
 2.63783642e+124
 4.93802293e+106
 8.80953046e+100
 6.82972970e+149
 5.79124972e+195
 2.48266984e+202
 2.87066829e+187
 2.42835734e+115
 5.72255991e+115
 9.85656753e+141
 7.06295127e+159
 5.15688547e+235
 Inf
 1.88198817e+295
 8.88647516e+210
 1.00353425e+155
 3.11743008e+157
 3.73125278e+228
 1.15030691e+197
 1.82275383e+216
 Inf
 4.81877627e+265
 5.20558403e+201
 1.34672854e+183
 2.29359060e+200
 9.50872011e+152
 1.14571668e+135
 1.65183201e+123
 1.56670083e+126
 3.44315757e+175
 2.72309717e+212
 7.48049870e+166
 2.78190168e+139
 6.51309471e-06
 6.51465798e-06
 1.07916784e+124
 9.42597085e+131
 9.94506554e+225
 7.42710258e+186
 8.78876475e+188
 2.12807224e+242
 1.99546015e+192
 1.81516066e+179
 2.32614744e+145
 3.30309696e+142
 7.06387808e+159
 4.88954610e+199
 4.44231723e+231
 7.43191988e+186
 1.93005750e+182
 8.79871989e+263
 2.81962483e+195
 1.68949529e+114
 2.15514706e+99
 1.12000852e+94
 1.00204596e+121
 8.45254301e+165
 1.09319286e+217
 1.92923223e+186
 6.74045936e+131
 1.82918856e+121
 9.79167551e+118
 1.64881238e+143
 8.13542574e+177
 3.21206116e+169
 1.37286575e+100
 2.53087761e+79
 1.12274405e+88
 1.09768232e+100
 2.43639893e+121
 1.10813911e+202
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51421197e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51424200e-06
 6.51444963e-06
 6.51470868e-06
 Inf
 Inf
 Inf
 Inf
 4.21686694e+255
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.33637128e+177
 5.11504728e+80
 7.50968521e+74
 1.12598354e+79
 5.48341190e+103
 1.46045484e+136
 2.17226859e+130
 4.06827289e+102
 7.07181629e+89
 1.71558293e+119
 2.99419412e+141
 1.96295477e+106
 9.01684645e+108
 3.62481602e+116
 1.56377586e+126
 1.25185223e+209
 Inf
 Inf
 Inf
 1.76915658e+119
 4.60360478e+90
 1.47694701e+97
 5.93452055e+121
 9.37576830e+172
 4.00211260e+299
 Inf
 5.90776831e+174
 3.33240203e+121
 9.92461409e+106
 4.08857858e+119
 2.40753130e+154
 2.79855339e+178
 2.93236171e+204
 1.49512571e+181
 3.78895659e+153
 4.56660694e+222
 3.24196783e+174
 1.35341087e+158
 2.40447255e+197
 8.91382269e+139
 4.23060069e+163
 1.44626495e+187
 1.87539739e+103
 1.59234556e+116
 6.56676876e+217
 1.69753075e+206
 8.06122481e+223
 2.43272614e+197
 1.01156711e+151
 3.30697949e+142
 2.55056894e+183
 Inf
 1.17440147e+191
 8.03917119e+223
 Inf
 2.83138625e+229
 1.34660772e+195
 1.18854987e+180
 1.66406077e+123
 2.64200151e+111
 9.74232069e+119
 8.72522326e+86
 6.43845089e+83
 3.58869592e+89
 5.95105049e+89
 2.52259221e+92
 1.54482663e+112
 9.96320219e+144
 1.10641057e+130
 4.89509204e+124
 7.58546168e+113
 3.27804436e+104
 2.85784686e+137
 7.88496789e+129
 1.07594108e+115
 1.64665868e+143
 3.19727264e+174
 2.13971431e+214
 1.04315895e+268
 5.18433503e+197
 5.42547253e+196
 1.92358740e+175
 3.17477546e+115
 1.03446581e+169
 2.72594042e+259
 3.87065741e+132
 6.51349422e-06
 6.53602257e-06
 6.54184688e-06
 6.53500784e-06
 6.52419827e-06
 6.51772183e-06
 6.51562732e-06
 6.51497180e-06
 6.51487228e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 8.79630060e+284
 7.03165240e+266
 7.70413733e+229
 7.52027431e+298
 Inf
 Inf
 Inf
 4.12695267e+271
 Inf
 Inf
 5.54495050e+202
 2.82908768e+239
 1.20773519e+149
 6.13722934e+137
 1.76358955e+222
 1.68092953e+172
 1.66237289e+123
 4.26207824e+159
 1.01552664e+254
 2.76992581e+233
 9.92080699e+259
 5.89439874e+195
 4.33856730e+166
 4.09379795e+138
 1.91248028e+117
 6.22087007e+179
 4.62698021e+274
 5.41869077e+145
 3.71526740e+114
 1.15662153e+115
 1.64632723e+143
 3.47232961e+164
 1.92269175e+275
 6.12986168e+247
 6.03484142e+152
 Inf
 6.51405230e-06
 6.51445808e-06
 6.51467079e-06
 6.51479919e-06
 Inf
 6.32959292e+154
 Inf
 6.51418572e-06
 6.51489513e-06
 6.51484751e-06
 6.51488618e-06
 6.50941231e-06
 6.51459258e-06
 Inf
 8.02313238e+180
 1.08076891e+201
 3.06481070e+170
 7.87503119e+180
 3.03315894e+141
 9.84459388e+105
 8.24758232e+125
 1.63730716e+135
 5.65359009e+111
 2.04769897e+111
 1.25054236e+107
 4.09204682e+104
 8.73681244e+139
 6.21650360e+140
 4.39142604e+146
 3.71869024e+228
 2.28037420e+290
 6.80416145e+217
 2.58696398e+183
 1.91959944e+175
 1.91665675e+186
 2.41047486e+177
 1.68588486e+206
 9.75326994e+232
 1.45666106e+225
 Inf
 1.74197546e+165
 2.21722920e+97
 4.13959487e+118
 9.36229823e+170
 1.05772782e+200
 3.49854508e+254
 2.11312548e+230
 4.07587140e+129
 1.28523116e+114
 4.44963455e+156
 7.15441679e+250
 1.16117848e+212
 8.40665503e+125
 7.28393457e+112
 6.66092750e+146
 1.25495116e+125
 4.10046357e+94
 1.00228526e+121
 8.70729328e+160
 2.51058655e+166
 4.22545582e+137
 4.28910313e+166
 Inf
 Inf
 Inf
 6.51428178e-06
 6.51459710e-06
 6.51454996e-06
 6.51467748e-06
 Inf
 6.51445699e-06
 6.51440744e-06
 Inf
 6.51444662e-06
 Inf
 Inf
 5.25532070e+214
 1.05692349e+169
 7.56504993e+240
 4.57185728e+207
 6.01670823e+244
 Inf
 Inf
 Inf
 Inf
 2.55070504e+270
 7.24856928e+226
 Inf
 1.70610985e+172
 2.77762120e+90
 6.22953423e+114
 1.46628061e+136
 8.69804998e+136
 3.86012409e+134
 2.15337825e+250
 Inf
 5.11971060e+256
 9.03293376e+252
 Inf
 3.13816657e+194
 2.92993559e+144
 6.11880596e+243
 Inf
 Inf
 Inf
 2.78431400e+278
 1.03396459e+229
 8.48187488e+239
 1.20778574e+149
 7.72920355e+117
 5.38787407e+132
 7.28233410e+111
 3.12024857e+120
 1.48289249e+153
 2.87257621e+149
 1.49452158e+153
 3.36353023e+179
 1.98137940e+207
 2.75043700e+259
 2.06900226e+249
 1.42415127e+190
 Inf
 Inf
 9.85910542e+295
 Inf
 3.55449197e+193
 Inf
 6.51420619e-06
 1.94261022e+295
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.41658573e+263
 Inf
 Inf
 Inf
 Inf
 1.49799203e+277
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51442786e-06
 6.51454794e-06
 3.91704384e+228
 8.89114372e+147
 2.19931403e+158
 5.31475208e+181
 8.40878279e+239
 1.53043597e+152
 1.88375960e+162
 7.43123106e+205
 9.42583529e+171
 2.38235875e+208
 6.74011172e+217
 4.06726511e+192
 5.46352123e+202
 1.99172150e+282
 Inf
 2.97732119e+165
 5.63262872e+187
 1.59554427e+231
 3.76576444e+210
 Inf
 Inf
 Inf
 6.51421824e-06
 6.51454205e-06
 6.51457765e-06
 Inf
 2.80279474e+278
 Inf
 6.51416023e-06
 6.51471636e-06
 Inf
 6.51444237e-06
 6.51451174e-06
 Inf
 6.51437545e-06
 6.51458206e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51444698e-06
 Inf
 1.14686484e+202
 Inf
 6.45155829e+248
 5.49179678e+132
 1.90587622e+182
 4.42674114e+231
 1.93258691e+186
 2.80575972e+138
 2.37380773e+131
 1.27234811e+144
 2.33438417e+201
 1.08616904e+41
 4.72920314e+35
 1.73175707e+91
 5.40719006e+56
 3.14085551e+67
 5.02828083e+107
 5.40176563e+93
 5.03004410e+56
 4.03178008e+59
 3.22240631e+131
 1.45136811e+161
 7.71294525e+233
 1.00770739e+271
 6.76924547e+141
 2.13552288e+136
 5.97403257e+168
 7.10331849e+159
 9.83961734e+169
 2.50334710e+143
 1.49928111e+103
 5.16511441e+92
 1.19036335e+87
 8.64748109e+86
 2.05674443e+76
 1.29948323e+67
 5.73278445e+80
 9.83640872e+89
 1.79426863e+86
 2.86185430e+84
 2.67765995e+81
 8.64452258e+83
 2.11293326e+71
 4.27084749e+77
 6.10618509e+105
 9.88259223e+106
 3.11539414e+120
 8.95931959e+122
 7.26661375e+111
 4.41624938e+80
 8.78027425e+66
 7.39964938e+83
 8.52979737e+94
 1.37268933e+73
 1.56819092e+62
 6.60041630e+74
 2.16531947e+73
 8.63171068e+67
 1.74297163e+96
 4.48726769e+93
 2.20953045e+79
 8.16313755e+76
 1.71921025e+73
 1.75670363e+92
 1.54472445e+112
 1.54911976e+106
 Inf
 Inf
 2.81252375e+35
 2.12333420e+13
 2.06285306e+14
 1.74096160e+23
 5.22475403e+23
 2.14134601e+21
 4.10402117e+22
 3.16116153e+27
 1.10891349e+28
 5.00171270e+25
 1.53831312e+28
 1.48695245e+30
 5.49274583e+29
 1.83785640e+35
 1.62193064e+33
 7.64647119e+30
 1.81293481e+33
 2.98548530e+35
 8.32777253e+37
 2.92272472e+36
 3.89199856e+33
 7.01961104e+33
 1.83980542e+34
 2.66176453e+31
 6.75585420e+27
 5.15162017e+26
 2.22172546e+26
 7.48404654e+29
 2.74894835e+29
 4.75188876e+24
 9.49304717e+31
 4.65584783e+38
 1.00932150e+34
 8.76167349e+35
 4.26159610e+32
 1.10163650e+27
 8.09801369e+31
 8.96168734e+41
 4.38991077e+37
 1.70701777e+36
 1.44662275e+42
 4.94923496e+42
 1.23837537e+40
 9.31772691e+37
 4.87052682e+37
 4.43837065e+39
 2.43615484e+40
 2.48833381e+39
 1.07265183e+39
 3.66638646e+37
 6.56233189e+45
 8.77582543e+47
 4.03701647e+35
 4.23555910e+36
 4.31459366e+42
 3.70374226e+41
 1.33965215e+40
 3.29896905e+37
 2.07346680e+38
 6.31190095e+39
 4.04099937e+32
 1.52735783e+33
 2.90993982e+36
 3.09273850e+35
 6.97108701e+40
 6.63295883e+36
 1.62681008e+39
 7.95250556e+44
 6.79142209e+35
 1.26188666e+32
 2.32896205e+31
 8.03410520e+30
 2.58431465e+31
 1.05836839e+30
 6.98928492e+29
 2.10636420e+30
 1.49105033e+31
 6.71634593e+30
 1.60215042e+29
 2.31617152e+25
 1.13923646e+26
 1.55398125e+32
 9.64515331e+32
 2.72019438e+32
 1.57767761e+24
 3.16690015e+26
 1.29134508e+36
 5.82450401e+39
 4.54192985e+37
 1.11821669e+33
 2.89417910e+33
 1.31768512e+34
 4.06113905e+37
 7.46010201e+43
 7.92177917e+51
 2.32949369e+63
 4.88715405e+79
 3.19910659e+99
 4.45626464e+133
 9.89970846e+154
 4.41750880e+177
 3.32208569e+142
 1.02233546e+136
 4.40763978e+108
 1.72231851e+83
 1.78560740e+78
 5.71075389e+117
 2.47365483e+143
 1.07906232e+127
 1.94074115e+282
 1.25219083e+232
 3.91128899e+134
 5.08524905e+89
 7.73995616e+59
 2.07855233e+58
 2.36841577e+70
 3.23114196e+74
 3.00362729e+78
 2.10890048e+71
 6.62502151e+69
 4.32822049e+76
 7.11634945e+59
 3.03475909e+60
 1.89900344e+80
 2.03262878e+78
 4.84000544e+62
 1.05781360e+60
 1.94486346e+72
 3.75727850e+77
 6.68124621e+61
 2.56205074e+63
 6.61779108e+189
 1.94609835e+124
 3.96044137e+78
 4.23488938e+98
 2.61031850e+82
 5.14617359e+91
 2.66134159e+83
 4.38118961e+80
 1.30755109e+110
 5.18413367e+171
 1.08408000e+150
 3.95043491e+105
 2.31701917e+90
 4.16364429e+88
 1.47577888e+97
 4.37139642e+76
 8.41113675e+58
 1.88772208e+87
 1.56765810e+105
 1.54441245e+73
 3.37304355e+76
 1.15308729e+81
 2.44522856e+86
 6.15599218e+106
 2.58739629e+89
 2.10064879e+58
 9.31516450e+61
 5.59363982e+64
 9.85772474e+63
 2.22288553e+87
 1.60360223e+76
 5.37191314e+69
 3.16296103e+67
 1.20952309e+62
 5.66758114e+58
 1.70527488e+65
 5.38346765e+68
 6.11654710e+61
 2.62453714e+83
 4.01115624e+102
 5.85152358e+97
 3.88612996e+106
 2.17293875e+88
 2.39789976e+85
 5.34765088e+65
 2.34009945e+36
 5.13470703e+49
 4.13531139e+207
 1.52404493e+178
 2.52886390e+163
 1.33192306e+195
 3.66019983e+122
 2.66990585e+78
 8.61813288e+86
 1.28973075e+120
 1.43846302e+99
 5.85144532e+78
 4.37331899e+80
 5.74386444e+113
 1.03805721e+95
 1.34385326e+94
 1.63753065e+87
 9.92196768e+95
 1.43179868e+166
 1.14486856e+168
 2.38663193e+131
 3.86105426e+154
 Inf
 3.51077499e+232
 2.56940018e+107
 1.96369406e+82
 2.11677028e+84
 1.79267398e+74
 9.56025302e+85
 2.37257173e+115
 2.44886347e+121
 4.93463003e+106
 2.40268823e+68
 4.58976588e+60
 6.98594273e+84
 2.59900628e+82
 6.40317271e+67
 2.99375991e+78
 2.19862307e+80
 2.84985734e+75
 7.81957697e+73
 2.63145732e+62
 3.21699100e+68
 2.87936794e+80
 1.05011708e+98
 4.67310472e+131
 8.38335077e+81
 2.50768232e+65
 2.53946954e+74
 4.36771561e+61
 1.97481881e+62
 3.58971380e+87
 1.12617452e+88
 2.10675181e+102
 4.07822142e+94
 9.83448878e+70
 2.90508365e+77
 1.55371851e+89
 4.39004858e+80
 2.15849773e+93
 6.87999939e+103
 8.27256899e+85
 8.79559594e+70
 9.53824709e+67
 1.03117951e+92
 3.18462358e+95
 6.16154028e+91
 6.79283388e+95
 3.13339593e+160
 9.84088840e+169
 2.83835295e+85
 5.28921615e+58
 8.23678717e+55
 6.19292226e+86
 9.50389824e+98
 2.45045403e+73
 8.75544037e+70
 1.74388338e+75
 4.02636917e+63
 3.37498028e+61
 3.52156276e+83
 2.07616808e+104
 1.08130706e+122
 1.41147699e+124
 9.96043357e+89
 3.21358644e+99
 2.29441560e+119
 3.08757168e+157
 Inf
 Inf
 1.54115125e+153
 1.88857079e+146
 3.15052482e+162
 8.12726496e+121
 2.08871335e+176
 1.72079891e+262
 3.08775592e+173
 6.31003598e+102
 1.28270956e+80
 1.47035962e+97
 1.34789379e+137
 1.21224719e+112
 7.15699324e+100
 4.07977225e+119
 2.63970806e+111
 2.59365134e+112
 1.79756084e+184
 Inf
 3.14275161e+223
 7.89883521e+105
 5.60873323e+126
 4.83966156e+199
 4.49522483e+149
 1.00369291e+151
 4.11791545e+94
 3.25649835e+64
 4.31592148e+76
 1.55889333e+107
 2.58133373e+91
 1.12252343e+72
 5.58746026e+59
 1.99459666e+50
 2.70657978e+47
 1.86478268e+47
 4.54780138e+51
 2.17874118e+60
 2.73005914e+65
 1.25286698e+66
 3.66801772e+63
 6.57019521e+80
 1.23813942e+95
 5.00237561e+102
 3.34312418e+84
 1.98008826e+63
 2.54523378e+77
 2.23054014e+75
 1.06672465e+67
 6.30523023e+76
 2.75360596e+72
 2.27487121e+65
 1.07097901e+75
 1.81664169e+84
 5.22503932e+84
 1.29134090e+79
 6.06581309e+84
 3.08201686e+100
 7.42491305e+68
 7.35853525e+69
 1.10816446e+85
 3.18115046e+69
 2.99643137e+78
 2.78474533e+85
 1.10667374e+102
 1.33827081e+101
 2.58346917e+89
 7.71943732e+105
 2.04089630e+101
 1.20205764e+77
 2.19595216e+72
 1.52120262e+81
 8.16715744e+64
 1.55164202e+64
 2.51465877e+88
 3.13266741e+96
 6.10343219e+84
 5.41854177e+81
 1.37635251e+69
 6.19325335e+57
 2.05586947e+65
 2.50541631e+80
 7.03013388e+85
 9.60670494e+85
 4.56025056e+90
 4.27643759e+87
 4.29859424e+77
 3.62000527e+91
 6.16954277e+106
 3.96280287e+99
 3.77011441e+132
 3.02457278e+173
 8.16241986e+145
 6.69796820e+131
 4.06510215e+138
 8.73999008e+138
 1.30174231e+98
 6.80519010e+96
 5.54206986e+143
 9.40907169e+111
 8.71044729e+86
 1.48121627e+92
 3.73573626e+93
 1.26250852e+93
 1.07062333e+104
 2.64866939e+71
 4.88416599e+73
 1.06593664e+133
 6.51314037e-06
 6.51450034e-06
 Inf
 6.51435668e-06
 6.51452769e-06
 4.41082464e+287
 3.15554359e+106
 1.48734485e+83
 9.27777364e+76
 1.37176331e+75
 1.13670637e+58
 8.13340683e+69
 5.87758299e+74
 8.28014296e+53
 2.41472668e+58
 7.73602778e+65
 3.53142065e+83
 1.24842353e+105
 1.13705953e+79
 1.74992610e+75
 5.24760091e+75
 2.19870599e+76
 1.35732387e+71
 7.12196540e+71
 8.49218107e+103
 7.36196881e+91
 5.43154335e+81
 7.61473624e+80
 2.75780987e+72
 9.49311195e+82
 4.52054503e+83
 2.63368136e+71
 1.71522063e+73
 4.33524161e+76
 8.16292025e+77
 1.35848061e+71
 1.23532224e+69
 8.88407825e+60
 2.61980151e+68
 1.91846259e+94
 1.51222148e+93
 2.15809348e+70
 7.72679317e+41
 3.28534460e+45
 1.07200475e+102
 2.59676468e+96
 6.34486907e+63
 4.43158759e+78
 1.47189545e+79
 4.28552945e+77
 4.46245253e+78
 1.35068588e+61
 3.14873865e+69
 5.43168425e+72
 3.07916698e+72
 2.44759763e+105
 3.39224832e+168
 1.05603736e+128
 1.58696930e+105
 8.65299420e+160
 7.60378991e+127
 1.56148541e+112
 1.93016745e+87
 6.67351459e+74
 5.47074931e+103
 3.98696665e+129
 1.92705934e+124
 1.21520986e+123
 8.74340228e+213
 4.55603588e+207
 7.62742507e+110
 1.05990329e+93
 6.44404470e+90
 3.23010684e+97
 1.64893854e+101
 7.76892429e+93
 1.51189907e+93
 1.71932361e+62
 2.80134721e+63
 2.69094457e+116
 4.81623467e+114
 3.06378766e+89
 2.15588573e+70
 9.79221471e+59
 5.18401346e+74
 3.07425684e+101
 1.12795393e+86
 3.28872895e+71
 2.38069486e+85
 1.54587647e+58
 6.03206162e+52
 1.73054729e+92
 5.37595368e+93
 4.03303569e+65
 2.44939322e+64
 3.79366788e+95
 1.67026709e+104
 4.96572753e+76
 4.56695072e+70
 7.84247803e+70
 3.30792681e+80
 3.07593978e+100
 2.53148730e+92
 4.89465152e+94
 5.66862043e+79
 1.12824497e+79
 1.98185133e+112
 4.86847383e+99
 6.80883090e+96
 3.55842368e+103
 6.27033666e+116
 4.00461036e+129
 2.31485168e+119
 1.44297304e+117
 3.15970616e+96
 9.53875887e+98
 9.35878993e+112
 7.29664159e+119
 6.59791351e+144
 6.73192984e+161
 3.48694470e+164
 1.05369129e+175
 1.93572093e+144
 2.47385083e+106
 3.62185922e+116
 Inf
 1.45338517e+256
 7.43830824e+119
 5.67064966e+147
 6.64599165e+144
 1.55112041e+130
 3.26360404e+205
 9.52183611e+238
 5.70617833e+112
 1.65635344e+101
 6.36592121e+133
 4.20693471e+88
 6.25078173e+81
 7.18671029e+77
 2.47169275e+66
 3.20007095e+75
 1.71825870e+73
 9.76489931e+70
 1.39511205e+72
 4.08379866e+71
 4.10531835e+83
 1.64776100e+114
 1.67981332e+104
 7.24815270e+76
 1.10996055e+80
 1.93050991e+94
 4.48446066e+93
 1.19072861e+87
 5.84306653e+101
 3.90812574e+105
 2.81830679e+94
 6.15293017e+105
 6.40562727e+104
 7.82409513e+106
 6.64333473e+124
 2.78725911e+110
 2.60267125e+96
 1.03302941e+95
 1.20875484e+116
 9.91155233e+106
 8.84772536e+92
 4.89368468e+105
 3.11656914e+105
 4.46709442e+113
 1.26547913e+144
 7.69658090e+148
 8.75953567e+138
 1.69221694e+108
 4.18546753e+88
 1.22923712e+111
 1.50876586e+95
 1.20430018e+96
 9.48472392e+158
 4.75573912e+100
 1.84287103e+88
 8.34006218e+130
 1.83986086e+115
 1.32460863e+110
 4.50486349e+93
 2.57759790e+77
 2.10158155e+92
 1.11864321e+85
 1.67643957e+80
 1.22420109e+111
 9.84259163e+141
 4.80870828e+116
 1.10750300e+100
 8.26650471e+96
 1.07211903e+104
 2.40923038e+85
 2.88151223e+79
 7.98849388e+109
 2.53792490e+92
 5.09446032e+104
 6.90671871e+103
 3.61247234e+89
 2.63393636e+113
 2.74719102e+139
 9.81002955e+119
 1.44193530e+58
 1.55234098e+65
 2.17364961e+123
 4.20962066e+163
 1.28852416e+139
 4.47985336e+103
 3.24382995e+97
 3.81048945e+96
 1.82158562e+115
 6.50460088e+107
 4.91567907e+77
 3.63549009e+75
 3.77666056e+100
 8.83202571e+92
 5.02729966e+87
 9.56594205e+81
 4.89067593e+68
 1.38122230e+66
 4.08727340e+75
 1.11752804e+86
 1.55937787e+89
 4.13548990e+83
 4.47279486e+78
 2.47238145e+66
 2.30519580e+69
 9.49109383e+81
 7.83930395e+73
 4.01295591e+61
 3.93335098e+46
 1.48165349e+57
 2.21847965e+82
 1.16571963e+90
 3.94094302e+99
 1.34934482e+137
 7.94928517e+134
 1.78468679e+85
 1.07814430e+101
 2.00117081e+112
 7.08917650e+89
 2.85900426e+75
 5.79093615e+56
 4.36085977e+68
 3.13882488e+107
 3.61962552e+92
 3.57959076e+122
 6.57191606e+155
 1.66389697e+90
 4.79489548e+83
 4.63972417e+131
 1.48702597e+127
 8.26827882e+107
 1.33323713e+88
 1.08812418e+73
 9.89318356e+63
 3.50348629e+69
 2.51131734e+80
 8.74391913e+80
 2.86020320e+86
 6.03667836e+85
 7.21704788e+58
 2.08601757e+56
 4.48210794e+90
 3.07419218e+106
 3.61865314e+92
 8.24562528e+85
 6.15467523e+106
 5.20374968e+85
 2.11413492e+71
 8.90764915e+71
 5.43789766e+72
 1.39619642e+72
 3.27801783e+79
 1.83093106e+103
 1.29152036e+98
 1.10861611e+83
 1.12448090e+88
 1.79338452e+97
 3.95117647e+99
 2.64384388e+95
 1.19138743e+87
 9.28456756e+93
 5.39325648e+86
 3.00961309e+92
 3.60258454e+92
 4.14001885e+83
 4.00833276e+107
 5.56811993e+108
 3.75437819e+93
 3.60146559e+89
 1.32606095e+88
 3.04302185e+119
 8.88408591e+137
 3.37298335e+112
 3.19956592e+107
 1.81867544e+95
 4.35477070e+117
 2.37195277e+118
 2.88624825e+84
 1.33941182e+121
 1.48127244e+163
 2.37456599e+135
 1.14140953e+135
 9.83323258e+105
 7.01705387e+73
 1.46899752e+79
 3.43204729e+78
 2.81666208e+129
 7.48476880e+229
 1.19274830e+90
 9.73530526e+79
 1.23766588e+95
 7.71489337e+102
 1.21232988e+116
 5.24314062e+98
 4.33206202e+79
 3.53260626e+103
 9.38538394e+103
 7.23858653e+112
 9.71593678e+173
 1.11304403e+143
 4.93595048e+142
 5.64518601e+120
 7.53262294e+110
 6.32788222e+109
 1.95027356e+94
 5.94198014e+99
 8.20733444e+64
 1.86869995e+69
 8.75095176e+122
 8.79190905e+139
 6.20591898e+248
 Inf
 Inf
 6.33930006e+243
 5.88490587e+195
 2.82433971e+181
 2.93413465e+204
 3.06114983e+215
 3.91825468e+154
 1.11199013e+188
 2.67250143e+267
 Inf
 Inf
 Inf
 4.29674943e+220
 4.46591795e+177
 Inf
 Inf
 6.09989954e+244
 3.58753153e+260
 2.31872201e+74
 1.57036073e+25
 3.19980508e+07
 1.66287521e+02
 2.89049158e+01
 1.42624437e+06
 1.04170141e+23
 1.21911922e+38
 3.99712602e+88
 1.67988920e+110
 1.47738417e+153
 3.87359083e+134
 4.47620992e+103
 3.34393632e+112
 2.34628488e+153
 8.72723794e+188
 8.59801230e+284
 1.40753248e+228
 2.83219434e+178
 4.90977790e+199
 6.94285002e+266
 3.85935639e+225
 1.28106175e+209
 Inf
 6.51422847e-06
 Inf
 Inf
 Inf
 8.93431515e+188
 6.86351243e+184
 Inf
 Inf
 4.50728942e+177
 9.64179290e+151
 4.04277898e+161
 1.65983917e+123
 3.28465683e+142
 1.76976927e+174
 2.51694689e+166
 9.69428145e+178
 4.50878000e+141
 2.76861527e+139
 8.69341653e+188
 7.23043261e+193
 5.04102863e+185
 5.10040992e+157
 2.21517870e+97
 6.06511388e+97
 1.39313617e+115
 2.16018808e+130
 1.82858208e+121
 1.65973807e+101
 4.92428724e+88
 9.94134640e+73
 2.77896237e+85
 7.74323014e+129
 1.91805773e+144
 4.12545123e+104
 7.77639533e+93
 3.18682048e+95
 7.16285816e+82
 1.69494416e+71
 4.91147518e+76
 1.36470773e+102
 1.67396413e+104
 5.18460185e+91
 1.02741114e+110
 5.40646892e+110
 6.59592183e+122
 7.10742113e+163
 2.90148326e+137
 1.23444606e+146
 2.90685188e+144
 2.47392840e+106
 2.34223156e+76
 1.19254120e+77
 4.30973811e+91
 2.50919762e+92
 3.53604401e+110
 2.32952189e+120
 1.21867856e+116
 2.17236653e+114
 1.77804206e+85
 7.72598264e+93
 4.85576152e+142
 1.47715742e+136
 3.00825947e+141
 2.02763657e+141
 7.64984830e+123
 Inf
 8.17312795e+251
 1.19105776e+84
 4.77290410e+97
 1.67445289e+108
 4.47144459e+133
 1.34151757e+158
 2.54623419e+101
 8.27592111e+84
 4.76061497e+114
 5.58803207e+123
 2.43278584e+124
 9.03000592e+99
 8.32926876e+81
 1.66073052e+104
 8.24841773e+95
 1.36300971e+77
 7.00691365e+89
 5.84971319e+101
 1.16936913e+99
 2.34329542e+98
 4.79853899e+97
 5.36479270e+82
 7.08471178e+100
 6.99396406e+135
 4.20020789e+137
 9.39849341e+111
 4.92386858e+105
 1.30259818e+134
 7.28438997e+111
 1.12384439e+94
 2.76164854e+110
 2.04646051e+129
 1.98060192e+137
 2.11103852e+116
 2.04740004e+127
 5.60433385e+143
 7.83849073e+93
 2.67569191e+94
 7.58629999e+132
 7.29503187e+112
 1.20537678e+112
 4.44617310e+156
 1.14736659e+126
 2.17780198e+114
 1.16820169e+157
 5.67903543e+126
 7.32356278e+119
 1.87327486e+139
 1.60286922e+111
 1.54590585e+133
 4.35623483e+188
 5.37623095e+145
 1.11367245e+100
 1.26661738e+139
 1.81535129e+184
 5.99345680e+152
 1.51263478e+152
 7.59252903e+127
 1.01291729e+121
 5.94567032e+153
 4.50139150e+207
 1.13663542e+162
 6.99757842e+189
 3.76050325e+228
 1.31369821e+98
 2.16380053e+91
 1.46115181e+163
 1.69475707e+193
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 3.30314673e+102
 1.39047118e+90
 4.06173524e+119
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 1.89522937e+138
 1.19015922e+149
 1.47517616e+96
 6.84288321e+95
 1.28356406e+140
 4.48064902e+103
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 1.26770159e+144
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 1.82325140e+184
 1.28524796e+144
 1.51897670e+154
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 3.28978808e+205
 1.92398642e+227
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 1.95502959e+282
 1.50695154e+181
 1.26568543e+107
 5.85893598e+97
 8.99113634e+108
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 1.67862623e+108
 1.09548897e+143
 5.62645522e+123
 3.90321958e+128
 6.17187844e+154
 1.99386198e+122
 1.87464934e+139
 2.15757922e+250
 1.30089946e+139
 5.16030310e+107
 1.90426070e+144
 4.14040879e+123
 9.29196432e+115
 1.55500574e+77
 3.52430245e+69
 2.26529762e+103
 4.49683531e+93
 5.02845242e+87
 1.48164350e+92
 2.25703553e+82
 4.69992858e+81
 3.34754934e+86
 2.33260878e+98
 5.52813893e+103
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 3.79093901e+85
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 2.34688200e+120
 5.24826180e+98
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 1.45655706e+161
 2.78662562e+116
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 2.44921698e+121
 1.41124412e+124
 1.44473214e+117
 5.65911154e+95
 1.84019961e+88
 7.73521118e+93
 1.57186687e+105
 1.32074546e+110
 6.65053934e+124
 4.17504349e+118
 4.82478577e+97
 4.65737057e+95
 1.66287527e+100
 1.10255996e+100
 1.72288870e+119
 1.46999641e+129
 3.36314597e+80
 3.64565987e+66
 8.98193484e+90
 1.52520999e+130
 1.05266652e+92
 5.79250881e+80
 7.44992942e+83
 9.56829131e+74
 2.55136541e+91
 8.96123761e+101
 5.39320236e+93
 5.59959555e+96
 1.11157480e+102
 1.04602644e+92
 1.31647391e+108
 1.86615614e+109
 1.77603987e+85
 3.24608986e+104
 5.63845893e+147
 9.33802268e+115
 4.19291598e+88
 2.15148194e+114
 2.67177755e+132
 1.01112322e+105
 9.98116457e+95
 1.20403315e+123
 3.30125804e+121
 1.21277803e+96
 1.07789590e+122
 3.03272565e+123
 5.44282355e+127
 3.44497930e+175
 4.12984514e+94
 1.46692758e+80
 6.42082606e+107
 9.02042709e+108
 2.00949756e+128
 1.33574056e+132
 9.14631435e+124
 5.61523856e+129
 6.26900585e+102
 5.18253837e+91
 3.07552698e+106
 3.56947960e+103
 8.58854075e+94
 9.72923029e+105
 2.19359354e+97
 2.17216299e+93
 4.84310191e+122
 5.86105871e+164
 5.01392525e+185
 1.73372223e+102
 3.94450860e+86
 4.76451826e+114
 5.86046450e+110
 1.41174751e+72
 8.25425771e+63
 4.24627614e+92
 1.20317288e+96
 5.18869310e+85
 1.37072025e+102
 3.12695362e+115
 1.78311542e+118
 3.39591335e+111
 4.42891621e+121
 1.30292963e+119
 2.47221961e+86
 1.80614026e+95
 3.42712637e+113
 1.49013065e+103
 4.91182607e+148
 1.67092890e+171
 8.51411466e+143
 6.22767225e+92
 1.82913323e+84
 4.38302089e+156
 8.80640018e+147
 5.55041406e+134
 2.49463359e+166
 6.54165497e+204
 Inf
 6.60504238e+212
 6.51353665e-06
 6.52286574e-06
 6.52960055e-06
 6.52700721e-06
 6.52082506e-06
 6.51716190e-06
 6.51551254e-06
 6.51487016e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 4.12513359e+268
 5.56845919e+208
 5.92769312e+245
 Inf
 Inf
 6.01152808e+245
 Inf
 1.57249054e+213
 3.32763072e+205
 5.33959140e+172
 1.29038182e+139
 7.38115584e+142
 4.48863908e+156
 6.91155781e+221
 2.51532183e+270
 2.69264198e+252
 5.38804095e+181
 2.10042371e+148
 2.46688797e+151
 8.48404739e+143
 5.45372205e+173
 2.81374856e+181
 3.61989352e+158
 4.46716399e+149
 4.91670453e+135
 1.92304104e+160
 1.09160926e+217
 Inf
 Inf
 Inf
 2.77189039e+273
 6.51370944e-06
 6.51484934e-06
 1.92702424e+216
 4.73074375e+261
 7.51821497e+215
 3.10224622e+223
 Inf
 Inf
 Inf
 1.43487641e+298
 4.25738578e+220
 Inf
 Inf
 Inf
 Inf
 5.61448881e+291
 7.78928394e+258
 2.01088740e+282
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.85420996e+266
 7.24551740e+226
 6.75845441e+217
 1.71334465e+173
 8.88258382e+213
 Inf
 7.67190540e+298
 4.67018499e+222
 7.00398907e+221
 4.56102640e+207
 1.74377099e+257
 Inf
 5.09578290e+296
 1.89797619e+284
 Inf
 Inf
 2.34938735e+241
 3.00248148e+172
 1.86978647e+245
 Inf
 Inf
 Inf
 6.51430630e-06
 6.51454859e-06
 Inf
 6.51419653e-06
 6.51450012e-06
 6.51469549e-06
 6.51452191e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.61907419e+269
 9.04627030e+252
 Inf
 Inf
 6.51431900e-06
 Inf
 Inf
 6.51432646e-06
 6.51442009e-06
 6.51458513e-06
 Inf
 6.51433767e-06
 6.51470391e-06
 Inf
 6.51434197e-06
 6.51444761e-06
 6.51463445e-06
 Inf
 6.76169418e+219
 5.95691492e+246
 Inf
 Inf
 Inf
 Inf
 Inf
 5.23040849e+279
 1.87768023e+149
 4.84964072e+114
 2.29698109e+263
 6.51381679e-06
 6.51440369e-06
 6.51469131e-06
 6.51465019e-06
 6.51454396e-06
 6.51445182e-06
 6.51460830e-06
 6.51488494e-06
 6.51462136e-06
 6.51452651e-06
 6.51498140e-06
 Inf
 Inf
 6.51433306e-06
 6.51460049e-06
 6.51453049e-06
 6.51437350e-06
 6.51465014e-06
 6.51471905e-06
 6.51470207e-06
 6.51485792e-06
 6.51440245e-06
 6.51464089e-06
 6.51494258e-06
 6.51455221e-06
 6.51460037e-06
 6.51460460e-06
 6.51438699e-06
 6.51457706e-06
 Inf
 Inf
 7.76193592e+240
 8.84046609e+210
 2.10054055e+230
 Inf
 Inf
 Inf
 Inf
 Inf
 1.31340329e+209
 Inf
 Inf
 3.64522548e+294
 Inf
 5.10701522e+185
 1.26609737e+237
 4.08867468e+268
 9.60516654e+238
 2.20919719e+250
 Inf
 Inf
 Inf
 Inf
 Inf
 3.61164282e+260
 Inf
 Inf
 2.22339204e+258
 2.39076447e+263
 Inf
 Inf
 Inf
 Inf
 Inf
 3.40054016e+264
 4.13085493e+283
 1.40480897e+293
 3.35856546e+264
 Inf
 6.58582314e+212
 6.05946388e+168
 1.91415708e+186
 1.16964596e+279
 2.77877473e+259
 2.18442631e+258
 Inf
 Inf
 6.51423963e-06
 Inf
 2.81344951e+278
 1.23754520e+196
 2.21069535e+234
 Inf
 Inf
 Inf
 1.46978097e+225
 8.82314323e+210
 2.35858598e+191
 7.12882938e+159
 1.49666893e+163
 1.48283891e+136
 1.25225638e+125
 4.94875519e+165
 8.28319644e+157
 2.93231364e+209
 Inf
 Inf
 4.22444945e+255
 1.61511544e+210
 1.87355860e+246
 1.80370860e+222
 4.15849229e+155
 1.31191736e+119
 7.08365462e+119
 1.64545025e+123
 4.12125467e+115
 2.34882063e+135
 9.39776473e+152
 7.71915511e+132
 2.32576324e+201
 Inf
 Inf
 1.93824474e+162
 2.67583808e+95
 4.23008308e+130
 1.73009057e+189
 1.56173798e+130
 3.93558670e+127
 1.67895009e+131
 9.69432948e+110
 1.40695467e+124
 1.03703076e+124
 2.31250244e+103
 5.91546068e+94
 7.21595143e+112
 3.06637794e+136
 2.63167937e+124
 5.39799612e+132
 1.36407323e+137
 8.67974557e+103
 7.36188883e+91
 9.93959864e+95
 1.81250810e+95
 1.16963443e+84
 2.43997001e+73
 1.67836918e+79
 4.23531114e+89
 1.37064953e+73
 7.93780276e+66
 2.76829524e+85
 6.52950329e+122
 2.14159688e+108
 2.60124138e+96
 3.04658548e+136
 4.06747045e+139
 3.52742466e+98
 4.03524499e+102
 5.77496014e+117
 6.44831892e+136
 1.09406632e+133
 3.62561431e+122
 5.39521873e+132
 1.67439106e+114
 7.52505952e+127
 5.87111785e+164
 6.22403614e+154
 7.62912725e+113
 7.75879274e+126
 3.25941715e+205
 6.70689140e+122
 1.17565497e+99
 9.28119350e+172
 1.83031818e+184
 1.89640749e+134
 4.72698335e+131
 1.01981091e+118
 5.13458410e+104
 1.09396451e+143
 2.83581713e+187
 1.01157249e+165
 Inf
 Inf
 6.62156408e+133
 2.63008989e+124
 7.53919208e+110
 5.93617317e+87
 4.60532173e+96
 5.62137481e+76
 6.95667892e+73
 1.63176079e+101
 7.07990673e+85
 7.21102823e+76
 2.98288227e+88
 6.14646801e+91
 3.84668752e+95
 3.35648969e+135
 3.70578259e+147
 5.61767205e+108
 5.37961872e+115
 5.58979242e+123
 6.30724661e+116
 5.62862131e+126
 2.45015339e+127
 2.59221146e+159
 1.90461035e+227
 5.41994780e+170
 3.31860256e+142
 2.38110655e+152
 1.00504004e+165
 3.32794963e+121
 6.41823423e+98
 6.25960760e+116
 1.03586623e+110
 2.19636939e+95
 5.15286485e+92
 6.45761481e+107
 1.64234374e+143
 4.10722636e+155
 2.61145690e+159
 1.58148526e+147
 3.09610610e+119
 1.55839237e+112
 1.13406196e+135
 8.92168930e+137
 4.73101133e+131
 1.11264557e+202
 1.08482179e+201
 1.53772979e+145
 7.89762577e+129
 7.15403751e+84
 8.25241882e+82
 4.87643746e+94
 6.36018623e+70
 6.36922148e+71
 2.24992342e+77
 7.43387123e+64
 7.77429428e+67
 3.97158860e+82
 8.64825520e+83
 2.11806216e+84
 5.13210053e+92
 1.79588291e+86
 6.24574454e+81
 3.91646838e+97
 2.30207759e+83
 2.89853856e+80
 1.94832863e+122
 1.67510354e+100
 9.63039844e+84
 1.49611644e+95
 2.36954889e+109
 6.54036982e+155
 6.04894738e+130
 2.20598036e+97
 4.45209730e+133
 6.18078778e+154
 1.27873581e+93
 2.45599792e+86
 1.28937976e+120
 4.45321123e+141
 1.98914855e+122
 1.78636384e+118
 1.63369558e+135
 1.71373367e+125
 5.52119876e+134
 1.65415791e+172
 1.76285330e+120
 4.11814308e+115
 2.51143175e+117
 1.82259438e+121
 7.02012620e+159
 3.07864014e+194
 1.11460380e+130
 8.64064082e+94
 8.04523053e+109
 2.17985428e+93
 1.76422699e+96
 1.57323805e+105
 3.79819651e+77
 1.25380767e+74
 1.36308831e+73
 1.98138911e+77
 5.13419677e+91
 4.68496761e+100
 7.75187938e+105
 1.58085651e+84
 3.79643108e+85
 1.18707373e+103
 3.89303979e+106
 6.17799529e+105
 6.00541810e+125
 6.35185093e+109
 1.72277424e+83
 1.47247467e+97
 2.80100033e+140
 5.83234171e+117
 1.22513042e+97
 2.60885167e+104
 1.29623886e+119
 3.32822915e+179
 8.75647415e+210
 1.79230278e+174
 2.43871520e+154
 6.45867729e+133
 3.21527915e+107
 2.52463436e+100
 3.10811937e+120
 3.92575289e+127
 3.03709007e+123
 9.86989348e+154
 8.26566227e+157
 3.44949916e+168
 2.20850283e+158
 Inf
 Inf
 1.56095888e+145
 4.91082323e+124
 4.05732872e+138
 1.39679168e+190
 6.05223974e+121
 6.99268096e+87
 3.53046724e+88
 1.56809802e+107
 1.46538886e+142
 2.36524267e+135
 1.20401703e+103
 9.73798722e+118
 1.09401535e+117
 1.90764021e+71
 6.17243651e+73
 3.00603593e+136
 2.02517202e+141
 3.01180677e+141
 1.82203396e+169
 9.51218702e+131
 9.79464277e+119
 2.51437774e+117
 2.23121701e+123
 1.17189494e+157
 4.08503911e+139
 3.09169959e+119
 1.35819320e+141
 5.05686840e+157
 1.15459310e+176
 1.66432071e+218
 1.36819345e+148
 7.82292160e+126
 2.35659205e+135
 3.37128312e+112
 1.21029661e+96
 1.37631643e+102
 7.59425884e+148
 2.58317213e+219
 2.07386908e+164
 1.99681546e+122
 6.09776890e+137
 5.17417735e+178
 1.65425622e+220
 3.03429749e+253
 2.69123668e+203
 4.05911066e+192
 3.68168939e+182
 2.12073120e+176
 1.83579794e+169
 2.79898929e+138
 2.81580524e+128
 1.13955555e+135
 1.64103311e+135
 3.37118118e+112
 3.32688678e+131
 9.19107966e+140
 4.46129791e+121
 6.34576018e+109
 9.00012672e+99
 8.26629691e+96
 7.62486845e+117
 2.07103629e+148
 4.09921534e+150
 5.06820233e+157
 9.73908746e+110
 1.29089517e+91
 5.48405623e+118
 2.93279888e+172
 3.82112936e+167
 Inf
 6.51400965e-06
 Inf
 Inf
 6.51427021e-06
 6.51491058e-06
 Inf
 6.51436032e-06
 Inf
 6.51432140e-06
 6.51444948e-06
 6.51484790e-06
 6.51474326e-06
 Inf
 Inf
 6.51444706e-06
 6.51447001e-06
 6.51449082e-06
 6.51494030e-06
 6.51510313e-06
 6.51489701e-06
 6.51464129e-06
 6.51476666e-06
 6.51462280e-06
 6.51467519e-06
 6.51474787e-06
 6.51479599e-06
 6.51515539e-06
 6.51504821e-06
 6.51463121e-06
 1.69604071e+135
 4.19563678e+140
 Inf
 Inf
 Inf
 Inf
 Inf
 3.52831154e+276
 Inf
 Inf
 6.51423704e-06
 6.51453616e-06
 Inf
 Inf
 Inf
 6.51412979e-06
 6.51470137e-06
 6.51480302e-06
 6.51488144e-06
 6.51506901e-06
 Inf
 6.51427272e-06
 6.51445377e-06
 6.51475220e-06
 6.51468903e-06
 Inf
 3.39760890e+205
 9.54467105e+183
 1.28387693e+167
 2.51361971e+166
 2.88931958e+146
 4.39725115e+146
 Inf
 6.51435069e-06
 7.98370414e+229
 3.81101332e+153
 3.68126979e+213
 Inf
 1.64054921e+269
 1.53387754e+152
 9.66832055e+158
 1.02894877e+268
 2.85517165e+239
 1.12118519e+143
 5.62679759e+143
 9.43691655e+170
 3.02872127e+141
 9.71356026e+110
 3.19819086e+107
 8.02789482e+121
 5.14213194e+107
 7.32497500e+99
 1.21931170e+97
 1.07834213e+122
 5.61075471e+129
 1.03900030e+110
 2.59257870e+112
 9.74523967e+119
 1.78532309e+118
 8.05422940e+121
 7.91804982e+134
 9.61748617e+178
 2.51916137e+240
 7.83087720e+233
 1.96289666e+248
 1.89572795e+245
 1.68297199e+218
 3.33000348e+205
 4.72126046e+261
 1.48237763e+166
 1.15504173e+191
 Inf
 6.40418829e+234
 7.27701770e+193
 1.20636505e+203
 2.74817462e+259
 9.96953854e+169
 4.47626899e+149
 Inf
 Inf
 1.86525568e+266
 6.18504322e+257
 6.78344038e+217
 1.07267250e+221
 2.75781011e+233
 8.01512544e+251
 1.22846715e+164
 2.37490849e+135
 1.07067291e+238
 2.69789900e+267
 2.16906445e+214
 Inf
 Inf
 3.68676183e+294
 2.74385828e+278
 5.39977542e+181
 1.02914117e+136
 3.64959206e+116
 7.35432315e+118
 1.47141147e+142
 9.16597286e+124
 5.94224896e+138
 1.06395289e+156
 5.07404115e+157
 2.38268061e+131
 6.68949344e+124
 2.05469943e+111
 1.40709753e+124
 1.65142307e+143
 6.66784487e+141
 9.81249563e+173
 9.47336258e+152
 6.58711590e+167
 4.44443211e+216
 9.94609890e+173
 1.13112674e+162
 1.88772180e+162
 1.66556617e+172
 1.06108677e+199
 4.44177048e+231
 8.48509776e+239
 2.68246694e+252
 2.71236035e+226
 8.62625796e+165
 1.00784617e+165
 1.93592408e+160
 1.00867324e+145
 7.69822363e+148
 1.07942979e+150
 2.62544748e+150
 3.85771811e+176
 1.73473530e+170
 1.35242929e+158
 4.10752011e+150
 1.99013501e+137
 2.13335925e+136
 2.77083152e+156
 1.91858690e+157
 1.84865046e+115
 5.58028223e+108
 6.51286670e-06
 6.51687078e-06
 Inf
 Inf
 1.62527548e+210
 1.34325108e+195
 1.80755838e+266
 2.32542331e+241
 4.38877560e+236
 5.01315847e+200
 8.91719528e+139
 9.41014902e+136
 1.07762257e+127
 1.78843816e+118
 1.26745091e+144
 8.51139673e+165
 1.93215676e+140
 4.47480265e+136
 1.90975592e+157
 2.38874835e+152
 2.17936539e+130
 1.67353666e+114
 5.53330916e+169
 5.30929064e+172
 2.64797615e+124
 Inf
 6.51380421e-06
 6.51490720e-06
 6.51503194e-06
 6.51476776e-06
 6.51460667e-06
 6.51451427e-06
 6.51500006e-06
 6.51557920e-06
 6.51528223e-06
 6.51455172e-06
 6.51470264e-06
 6.51511955e-06
 6.51492710e-06
 6.51489847e-06
 6.51473992e-06
 6.51479472e-06
 6.51618760e-06
 6.51577749e-06
 6.51631117e-06
 6.51894869e-06
 6.51665571e-06
 6.51527269e-06
 6.51475718e-06
 6.51484873e-06
 6.51517577e-06
 6.51505866e-06
 6.51471326e-06
 6.51502485e-06
 6.51521438e-06
 6.51499925e-06
 6.51494847e-06
 6.51505320e-06
 6.51496729e-06
 6.51441727e-06
 6.51492235e-06
 6.51491494e-06
 6.51470355e-06
 6.51519762e-06
 6.51528591e-06
 6.51522124e-06
 6.51515228e-06
 6.51508352e-06
 Inf
 Inf
 Inf
 Inf
 6.51441692e-06
 Inf
 Inf
 Inf
 Inf
 3.38419128e+264
 6.51373946e-06
 6.51451485e-06
 Inf
 3.14042021e+215
 1.06220547e+175
 5.27958768e+171
 1.59454717e+210
 4.44819779e+281
 1.00904172e+142
 2.09988628e+242
 Inf
 6.51427657e-06
 6.51455795e-06
 Inf
 Inf
 3.17058530e+223
 Inf
 6.51389248e-06
 6.51449383e-06
 Inf
 Inf
 6.51441416e-06
 6.51442305e-06
 6.51462740e-06
 6.51487511e-06
 6.51474056e-06
 Inf
 Inf
 Inf
 Inf
 6.51414490e-06
 6.51470865e-06
 4.67926796e+281
 8.92192131e+286
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51433663e-06
 6.51456254e-06
 Inf
 Inf
 6.51424126e-06
 6.51451006e-06
 6.51461737e-06
 6.51464360e-06
 Inf
 2.55291351e+202
 4.20149036e+180
 Inf
 Inf
 2.44674877e+251
 Inf
 Inf
 3.94218938e+151
 9.66199793e+178
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51424633e-06
 6.51442481e-06
 6.51464002e-06
 6.51459860e-06
 6.51441120e-06
 6.51477065e-06
 6.51496295e-06
 6.51472339e-06
 Inf
 Inf
 6.51421561e-06
 6.51448963e-06
 Inf
 Inf
 6.51433493e-06
 6.51457845e-06
 Inf
 Inf
 6.51426673e-06
 Inf
 Inf
 6.51403067e-06
 6.51456816e-06
 6.51480007e-06
 6.51442888e-06
 6.51464997e-06
 Inf
 2.05533891e+288
 Inf
 8.59604348e+239
 9.63599495e+295
 4.50345874e+281
 3.24890062e+238
 2.73836418e+273
 1.15555440e+197
 Inf
 Inf
 4.17760853e+192
 1.75576249e+189
 2.98301235e+171
 1.79686981e+266
 Inf
 2.77037889e+221
 5.77423531e+147
 2.19971639e+167
 2.22036199e+142
 9.41520098e+136
 1.04656387e+175
 5.69426899e+126
 9.13438181e+124
 5.83545588e+113
 7.59812068e+123
 1.04678147e+128
 1.16911933e+81
 1.69454032e+102
 1.68328001e+165
 1.17156053e+160
 1.26570012e+209
 1.79188669e+174
 2.40542800e+177
 Inf
 Inf
 3.77648180e+213
 4.65908016e+289
 4.23396764e+287
 1.54534986e+154
 1.57988581e+147
 5.44131500e+224
 Inf
 Inf
 5.08596195e+296
 1.48720138e+277
 Inf
 Inf
 Inf
 1.29065735e+237
 Inf
 1.20532358e+279
 4.08625265e+299
 Inf
 1.01183083e+155
 1.72732445e+170
 Inf
 Inf
 6.51437812e-06
 6.51442612e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 8.65062533e+143
 1.64987244e+218
 Inf
 2.62644393e+185
 1.72475845e+262
 Inf
 6.51386922e-06
 6.51568432e-06
 6.51704091e-06
 6.51660390e-06
 6.51560332e-06
 6.51525501e-06
 6.51537401e-06
 6.51518282e-06
 6.51506351e-06
 6.51506478e-06
 6.51491398e-06
 Inf
 7.24874719e+176
 9.52247476e+131
 3.36894976e+112
 4.35520269e+146
 5.59083556e+169
 5.47616261e+224
 3.22669789e+238
 7.01899485e+221
 Inf
 6.51406511e-06
 Inf
 3.40343879e+205
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.09302549e+296
 Inf
 Inf
 1.03393502e+281
 4.99877130e+183
 1.09041444e+198
 Inf
 Inf
 1.80489144e+257
 5.46582980e+196
 Inf
 Inf
 Inf
 1.84011479e+266
 Inf
 Inf
 Inf
 3.56556842e+193
 3.20920994e+238
 Inf
 Inf
 6.51442654e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51418195e-06
 6.51458456e-06
 6.51483614e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51440750e-06
 Inf
 Inf
 2.04879801e+282
 2.69834776e+203
 5.64883797e+169
 3.55489650e+294
 2.23907712e+234
 1.04192152e+147
 1.27455658e+167
 1.57818509e+151
 3.44429706e+168
 1.38295894e+228
 Inf
 Inf
 8.77608870e+284
 2.79415106e+292
 6.28653815e+243
 Inf
 Inf
 Inf
 6.45565213e+277
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51438791e-06
 6.51459556e-06
 Inf
 Inf
 Inf
 Inf
 6.51436324e-06
 6.50903389e-06
 Inf
 Inf
 6.51433897e-06
 6.51455684e-06
 Inf
 Inf
 6.51436409e-06
 Inf
 Inf
 6.51419826e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51428756e-06
 6.51452257e-06
 Inf
 Inf
 Inf
 6.11201854e+246
 1.09215960e+127
 1.44939460e+161
 1.74512849e+189
 1.49249329e+142
 1.19190953e+203
 7.49155613e+205
 2.79619032e+139
 3.94385435e+127
 6.58232881e+155
 2.46188516e+202
 Inf
 7.14679851e+293
 6.80611993e+217
 Inf
 Inf
 3.53353014e+232
 Inf
 6.51417822e-06
 Inf
 7.78489635e+240
 Inf
 Inf
 Inf
 6.51432519e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.92961513e+232
 3.24559986e+174
 6.51351140e-06
 6.51450596e-06
 6.51520976e-06
 Inf
 Inf
 Inf
 6.51425597e-06
 6.51453681e-06
 6.51464550e-06
 6.51436934e-06
 6.51469705e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.08101916e+200
 6.99387110e+241
 2.00925967e+288
 8.74092143e+284
 6.51372135e-06
 6.51516520e-06
 6.51535417e-06
 6.51527286e-06
 6.51598323e-06
 6.51583756e-06
 6.51553494e-06
 6.51569470e-06
 6.51554617e-06
 6.51512729e-06
 6.51509312e-06
 6.51553956e-06
 6.51524969e-06
 Inf
 Inf
 6.51420666e-06
 6.51449359e-06
 6.51478854e-06
 6.51487811e-06
 6.51474651e-06
 6.51478103e-06
 6.51484601e-06
 6.51467886e-06
 6.51469848e-06
 6.51505307e-06
 6.51501862e-06
 6.51479485e-06
 6.51466432e-06
 6.51472561e-06
 6.51440362e-06
 6.51466694e-06
 6.51492668e-06
 6.51479995e-06
 6.51495448e-06
 6.51499887e-06
 6.51485980e-06
 6.51450671e-06
 6.51497388e-06
 6.51506955e-06
 6.51476240e-06
 6.51444903e-06
 6.51479028e-06
 6.51485367e-06
 6.51487957e-06
 6.51495456e-06
 6.51461768e-06
 6.51455636e-06
 Inf
 6.51432084e-06
 6.51517095e-06
 6.51544426e-06
 6.51506385e-06
 6.51466155e-06
 6.51459661e-06
 6.51465086e-06
 6.51462388e-06
 Inf
 6.51447458e-06
 6.51440229e-06
 6.51482580e-06
 Inf
 6.51415734e-06
 6.51477804e-06
 6.51490800e-06
 6.51451534e-06
 6.51459321e-06
 6.51466818e-06
 6.51455148e-06
 6.51473187e-06
 Inf
 Inf
 6.51424361e-06
 6.51473301e-06
 6.51461668e-06
 6.51459300e-06
 6.51478225e-06
 6.51443678e-06
 6.51461393e-06
 6.51455555e-06
 6.51470770e-06
 Inf
 6.51440723e-06
 6.51441252e-06
 6.51460474e-06
 6.51447819e-06
 6.51463336e-06
 6.51463308e-06
 Inf
 Inf
 Inf
 6.51430958e-06
 Inf
 Inf
 6.51428121e-06
 6.51459070e-06
 6.51467690e-06
 Inf
 Inf
 6.51421811e-06
 6.51458906e-06
 Inf
 6.51418814e-06
 6.51497019e-06
 6.51517540e-06
 6.51461955e-06
 6.51456509e-06
 6.51499322e-06
 6.51584849e-06
 6.51628492e-06
 6.51566978e-06
 6.51562316e-06
 6.51637927e-06
 6.51656289e-06
 6.51600963e-06
 6.51580513e-06
 6.51623740e-06
 6.51604924e-06
 6.51596368e-06
 6.51621881e-06
 6.51549657e-06
 Inf
 6.51450054e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.79107044e+259
 Inf
 Inf
 7.81132712e+240
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.01676224e+260
 6.53299486e+133
 9.19654058e+140
 1.73587202e+189
 Inf
 6.51472775e-06
 6.51585718e-06
 6.51533608e-06
 6.51495448e-06
 6.51642247e-06
 6.51601632e-06
 6.51600928e-06
 6.51710983e-06
 6.51688457e-06
 6.51631030e-06
 6.51628885e-06
 6.51634297e-06
 6.51585145e-06
 6.51579637e-06
 6.51580280e-06
 6.51563095e-06
 6.51612841e-06
 6.51612591e-06
 6.51606976e-06
 6.51593859e-06
 6.51543124e-06
 6.51519671e-06
 6.51592983e-06
 6.51670593e-06
 6.51619314e-06
 6.51561463e-06
 6.51547864e-06
 6.51522564e-06
 6.51461960e-06
 6.51618127e-06
 6.51594750e-06
 6.51521695e-06
 6.51452581e-06
 6.51489662e-06
 6.51493510e-06
 6.51457037e-06
 6.51482006e-06
 Inf
 6.51439453e-06
 6.51518398e-06
 6.51513862e-06
 6.51526409e-06
 6.51547804e-06
 6.51515859e-06
 6.51478994e-06
 6.51455216e-06
 6.51468055e-06
 6.51456842e-06
 6.51478366e-06
 Inf
 6.51155573e+194
 2.95575992e+209
 Inf
 8.29785716e+275
 4.20797142e+218
 1.02938286e+254
 7.26562375e+163
 1.97446546e+207
 Inf
 1.99359186e+275
 1.19888677e+180
 4.04325232e+192
 9.52810616e+170
 2.13799783e+214
 2.51191566e+270
 2.85588815e+239
 1.71530356e+193
 3.21983340e+169
 1.46814560e+205
 1.62130851e+116
 2.60127469e+150
 Inf
 9.22163699e+252
 1.66606990e+135
 4.38544901e+146
 1.69234477e+173
 5.21788994e+178
 1.35434391e+158
 3.11932619e+157
 7.41510306e+166
 5.91358438e+158
 5.94815929e+244
 Inf
 2.88705695e+239
 6.47666378e+194
 4.46970640e+216
 2.23799828e+180
 3.50435812e+189
 1.18751685e+180
 2.72572721e+212
 Inf
 Inf
 6.51531830e-06
 6.52094198e-06
 6.52227973e-06
 6.52287781e-06
 6.51832416e-06
 6.51582871e-06
 6.51492747e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51432751e-06
 6.51442505e-06
 6.51460123e-06
 6.51468618e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.40515662e+201
 9.74765742e+158
 Inf
 Inf
 Inf
 2.74864384e+278
 Inf
 Inf
 Inf
 Inf
 6.51421809e-06
 6.51441264e-06
 6.51468657e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51433104e-06
 Inf
 Inf
 Inf
 Inf
 1.66277965e+272
 Inf
 Inf
 Inf
 6.51417411e-06
 6.51455816e-06
 6.51453570e-06
 6.51446574e-06
 6.51457221e-06
 6.51454493e-06
 Inf
 Inf
 Inf
 6.51422708e-06
 6.51435069e-06
 6.51483798e-06
 Inf
 6.51398539e-06
 6.51451451e-06
 6.51489159e-06
 6.51480382e-06
 6.51539345e-06
 6.51674344e-06
 6.51671946e-06
 6.51694269e-06
 6.51736456e-06
 6.51714144e-06
 6.51741791e-06
 6.51765071e-06
 6.51694741e-06
 6.51655222e-06
 6.51615597e-06
 6.51587038e-06
 6.51612284e-06
 6.51680414e-06
 6.51742108e-06
 6.51789079e-06
 6.51835680e-06
 6.51793301e-06
 6.51771108e-06
 6.51800546e-06
 6.51775102e-06
 6.51773128e-06
 6.51808788e-06
 6.51678836e-06
 6.51620118e-06
 6.51657981e-06
 6.51619842e-06
 6.51612182e-06
 6.51714599e-06
 6.51731655e-06
 6.51624889e-06
 6.51659336e-06
 6.51811799e-06
 6.51762275e-06
 6.51728890e-06
 6.51711817e-06
 6.51661227e-06
 6.51633984e-06
 6.51600137e-06
 6.51590609e-06
 6.51661567e-06
 6.51740838e-06
 6.51728715e-06
 6.51577884e-06
 6.51488949e-06
 6.51467793e-06
 6.51478154e-06
 6.51487164e-06
 6.51681513e-06
 6.51883828e-06
 6.51757798e-06
 6.51732165e-06
 6.51789579e-06
 6.51660212e-06
 6.51584176e-06
 6.51627480e-06
 6.51608000e-06
 6.51533689e-06
 1.49189603e+298
 5.99542525e+203
 6.98359132e+221
 1.87872688e+286
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 8.16614845e+251
 6.51376521e-06
 6.51452407e-06
 6.51504051e-06
 6.51465088e-06
 6.51451455e-06
 Inf
 Inf
 1.14413734e+274
 Inf
 Inf
 6.51439632e-06
 6.51457248e-06
 6.51454190e-06
 6.51462699e-06
 6.51445062e-06
 Inf
 Inf
 Inf
 6.51425383e-06
 6.51458551e-06
 Inf
 Inf
 Inf
 6.51435782e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51427767e-06
 6.51462809e-06
 6.51491778e-06
 Inf
 Inf
 Inf
 6.51421976e-06
 6.51457847e-06
 6.51457416e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51420496e-06
 6.51438832e-06
 6.51485963e-06
 6.51484649e-06
 6.51447766e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51433593e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.06663445e+254
 6.33616526e+277
 6.51380728e-06
 6.51445383e-06
 6.51484105e-06
 6.51451246e-06
 6.51443092e-06
 6.51454928e-06
 6.51467332e-06
 Inf
 Inf
 6.51410912e-06
 6.51455412e-06
 6.51472923e-06
 6.51453410e-06
 6.51450155e-06
 6.51456620e-06
 6.51463995e-06
 Inf
 Inf
 Inf
 6.51411076e-06
 6.51458482e-06
 6.51476453e-06
 Inf
 6.51427797e-06
 6.51460631e-06
 6.51487145e-06
 6.51450818e-06
 6.51456243e-06
 Inf
 Inf
 6.51406907e-06
 6.51446633e-06
 6.51461616e-06
 Inf