Inf
 6.51446582e-06
 6.51532369e-06
 6.51526333e-06
 6.51496592e-06
 6.51482822e-06
 6.51468973e-06
 6.51476523e-06
 6.51484467e-06
 6.51469220e-06
 6.51459680e-06
 Inf
 Inf
 6.51439237e-06
 6.51462064e-06
 6.51457216e-06
 6.51445784e-06
 6.51459332e-06
 6.51473198e-06
 6.51452766e-06
 6.51465871e-06
 6.51482962e-06
 6.51464397e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51429479e-06
 6.51483196e-06
 6.51501148e-06
 Inf
 6.51421426e-06
 6.51443785e-06
 6.51461784e-06
 6.51517481e-06
 6.51513435e-06
 6.51504886e-06
 6.51510793e-06
 Inf
 6.51403506e-06
 6.51460687e-06
 6.51506526e-06
 Inf
 6.51431923e-06
 6.51470463e-06
 6.51486217e-06
 6.51453910e-06
 6.51466313e-06
 6.51485618e-06
 6.51480927e-06
 6.51468754e-06
 6.51477804e-06
 6.51483977e-06
 6.51496133e-06
 6.51496006e-06
 6.51469742e-06
 6.51480897e-06
 Inf
 Inf
 Inf
 6.51444978e-06
 6.51449413e-06
 6.51025324e-06
 6.51457414e-06
 6.51463199e-06
 6.51452282e-06
 6.51464481e-06
 6.51450003e-06
 6.51453445e-06
 6.51480081e-06
 Inf
 6.51433427e-06
 6.51463107e-06
 6.51480714e-06
 6.51451012e-06
 6.51487693e-06
 6.51520369e-06
 6.51503685e-06
 6.51488328e-06
 6.51490258e-06
 Inf
 Inf
 6.51433914e-06
 6.51471013e-06
 6.51491986e-06
 6.51464714e-06
 6.51491818e-06
 Inf
 1.84670728e+235
 Inf
 Inf
 2.67065304e+150
 2.10617198e+242
 Inf
 Inf
 Inf
 8.84270120e+284
 Inf
 6.51440377e-06
 6.51463552e-06
 Inf
 Inf
 6.51428292e-06
 Inf
 Inf
 6.51427312e-06
 6.51445337e-06
 6.51456207e-06
 6.51458061e-06
 6.51471715e-06
 6.51510046e-06
 6.51511719e-06
 6.51494454e-06
 6.51438147e-06
 6.51469848e-06
 6.51494090e-06
 6.51461007e-06
 6.51449990e-06
 6.51467289e-06
 6.51465342e-06
 6.51467076e-06
 6.51451947e-06
 6.51454266e-06
 6.50097483e-06
 6.51499536e-06
 6.51469024e-06
 6.51438296e-06
 6.51479804e-06
 6.51504910e-06
 6.51535479e-06
 6.51551676e-06
 6.51529299e-06
 6.51532645e-06
 6.51554551e-06
 6.51524560e-06
 6.51486958e-06
 6.51491395e-06
 6.51516464e-06
 6.51509369e-06
 6.51479050e-06
 6.51441522e-06
 6.51470177e-06
 6.51482400e-06
 6.51476290e-06
 6.51443924e-06
 6.51518387e-06
 6.51520127e-06
 6.51484232e-06
 6.51495781e-06
 6.51487244e-06
 6.51472557e-06
 Inf
 6.51425927e-06
 Inf
 Inf
 1.06001680e+268
 Inf
 6.51421271e-06
 6.51493366e-06
 Inf
 Inf
 Inf
 6.51419532e-06
 6.51439702e-06
 6.51479703e-06
 6.51499367e-06
 6.51615492e-06
 6.51737497e-06
 6.51630410e-06
 6.51556483e-06
 6.51520834e-06
 6.51495134e-06
 6.51460228e-06
 6.51489587e-06
 6.51500271e-06
 6.51446763e-06
 6.51475099e-06
 6.51541932e-06
 6.51540562e-06
 6.51511401e-06
 6.51522509e-06
 6.51519756e-06
 6.51488306e-06
 6.51448287e-06
 6.51493482e-06
 6.51501139e-06
 6.51477820e-06
 6.51454794e-06
 6.51470501e-06
 6.51488000e-06
 Inf
 6.51422768e-06
 6.51439659e-06
 6.51484847e-06
 Inf
 6.51420579e-06
 6.51458584e-06
 6.51503257e-06
 6.51481752e-06
 6.51456982e-06
 6.51482859e-06
 6.51506112e-06
 6.51500031e-06
 6.51447377e-06
 6.51455336e-06
 6.51485283e-06
 Inf
 6.51453143e-06
 6.51436218e-06
 6.51468002e-06
 6.51522219e-06
 6.51534702e-06
 6.51504429e-06
 6.51481802e-06
 6.51455034e-06
 6.51450703e-06
 6.51461552e-06
 6.51537311e-06
 6.51530594e-06
 6.51485102e-06
 6.51483846e-06
 6.51496560e-06
 6.51491422e-06
 Inf
 6.51420894e-06
 6.51472166e-06
 Inf
 6.51447949e-06
 6.51445411e-06
 Inf
 Inf
 6.51380577e-06
 6.51461816e-06
 Inf
 6.51421394e-06
 6.51446477e-06
 Inf
 Inf
 6.51419265e-06
 6.51451928e-06
 6.51517447e-06
 6.51509727e-06
 6.51490656e-06
 6.51482320e-06
 6.51467365e-06
 6.51459406e-06
 6.51473848e-06
 6.51653265e-06
 6.51895452e-06
 6.51951101e-06
 6.52094159e-06
 6.52103372e-06
 6.52072903e-06
 6.52189333e-06
 6.52279909e-06
 6.52222297e-06
 6.52158069e-06
 6.52444784e-06
 6.52462136e-06
 6.52080854e-06
 6.51991819e-06
 6.52212927e-06
 6.52299144e-06
 6.52267249e-06
 6.52276617e-06
 6.52268980e-06
 6.52114099e-06
 6.51973166e-06
 6.52270060e-06
 6.52826636e-06
 6.52667699e-06
 6.52264782e-06
 6.52328215e-06
 6.52331957e-06
 6.52116680e-06
 6.51972578e-06
 6.52101207e-06
 6.52366399e-06
 6.52085467e-06
 6.51825269e-06
 6.52001992e-06
 6.51948144e-06
 6.51780862e-06
 6.51836437e-06
 6.51996729e-06
 6.52275699e-06
 6.52124816e-06
 6.51873688e-06
 6.51782647e-06
 6.51866589e-06
 6.51841928e-06
 6.51659782e-06
 6.51588220e-06
 6.51731411e-06
 6.51970213e-06
 6.51940396e-06
 6.51918612e-06
 6.51794924e-06
 6.51719512e-06
 6.51811966e-06
 6.51885660e-06
 6.51882175e-06
 6.51881365e-06
 6.51931329e-06
 6.51850584e-06
 6.51878807e-06
 6.51927008e-06
 6.51953263e-06
 6.52086480e-06
 6.52069657e-06
 6.51931740e-06
 6.51954841e-06
 6.52203179e-06
 6.52183633e-06
 6.51998873e-06
 6.52085015e-06
 6.52371494e-06
 6.52265474e-06
 6.51781181e-06
 6.51582005e-06
 6.51523733e-06
 6.51504881e-06
 6.51485141e-06
 6.51486056e-06
 6.51541728e-06
 6.51523328e-06
 6.51464041e-06
 6.51478856e-06
 6.51531486e-06
 6.51975312e-06
 6.52304971e-06
 6.52271065e-06
 6.52562836e-06
 6.52328198e-06
 6.52019110e-06
 6.52179081e-06
 6.52387400e-06
 6.52053544e-06
 6.51827251e-06
 6.51960664e-06
 6.52160603e-06
 6.52047453e-06
 6.52002841e-06
 6.52562621e-06
 6.52643495e-06
 6.52112738e-06
 6.52185015e-06
 6.52442070e-06
 6.52409116e-06
 6.52246651e-06
 6.52289391e-06
 6.52265679e-06
 6.52143986e-06
 6.52188572e-06
 6.52268672e-06
 6.52424833e-06
 6.52132058e-06
 6.51879179e-06
 6.52013714e-06
 6.52539108e-06
 6.52200062e-06
 6.51819852e-06
 6.51937421e-06
 6.52065317e-06
 6.51952207e-06
 6.51759881e-06
 6.51942901e-06
 6.52208991e-06
 6.52104513e-06
 6.51888483e-06
 6.51940247e-06
 6.52108525e-06
 6.51968555e-06
 6.51926672e-06
 6.52363915e-06
 6.52743582e-06
 6.52349526e-06
 6.52186630e-06
 6.52462427e-06
 6.52325146e-06
 6.51935506e-06
 6.52026494e-06
 6.52288243e-06
 6.52388927e-06
 6.52241221e-06
 6.52278085e-06
 6.52350473e-06
 6.52194779e-06
 6.52244079e-06
 6.52461776e-06
 6.52325642e-06
 6.52094775e-06
 6.52275220e-06
 6.52330200e-06
 6.52280266e-06
 6.51807762e-06
 6.51572123e-06
 6.51461640e-06
 6.51466048e-06
 6.51504579e-06
 6.51537443e-06
 6.51638444e-06
 6.51682496e-06
 6.51590294e-06
 6.51534587e-06
 6.51611807e-06
 6.51596750e-06
 6.51528926e-06
 6.51490242e-06
 6.51473896e-06
 6.51452187e-06
 6.51453620e-06
 6.51454519e-06
 6.51446844e-06
 6.51479980e-06
 Inf
 6.51433542e-06
 6.51471608e-06
 6.51468083e-06
 6.51473066e-06
 Inf
 6.51451878e-06
 6.51437330e-06
 6.51486253e-06
 6.51465573e-06
 6.51485201e-06
 Inf
 Inf
 Inf
 6.51423305e-06
 6.51468376e-06
 6.51480889e-06
 6.51443388e-06
 6.51464625e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51438799e-06
 Inf
 Inf
 6.51412954e-06
 6.51445882e-06
 6.51470219e-06
 6.51450902e-06
 Inf
 6.51562365e-06
 6.52998634e-06
 6.53711559e-06
 6.53739465e-06
 6.52959472e-06
 6.52258627e-06
 6.51937685e-06
 6.51755327e-06
 6.52021793e-06
 6.52303724e-06
 6.52041831e-06
 6.52241488e-06
 6.52499076e-06
 6.52392738e-06
 6.52285694e-06
 6.52373412e-06
 6.52444066e-06
 6.52230172e-06
 6.52017819e-06
 6.52079503e-06
 6.52208062e-06
 6.52103026e-06
 6.51954912e-06
 6.52063941e-06
 6.52256798e-06
 6.52238133e-06
 6.52495392e-06
 6.52596144e-06
 6.52357626e-06
 6.52223593e-06
 6.52171957e-06
 6.52189871e-06
 6.52232674e-06
 6.52156489e-06
 6.52202671e-06
 6.52299432e-06
 6.52081610e-06
 6.52027592e-06
 6.52167954e-06
 6.52249083e-06
 6.52207181e-06
 6.52053702e-06
 6.52114709e-06
 6.52090629e-06
 6.52355133e-06
 6.52599433e-06
 6.52368452e-06
 6.52376475e-06
 6.52158042e-06
 6.51972134e-06
 6.51893546e-06
 6.51807426e-06
 6.51727628e-06
 6.51763539e-06
 6.51776082e-06
 6.51785697e-06
 6.51772180e-06
 6.51707586e-06
 6.51801163e-06
 6.51862843e-06
 6.51812664e-06
 6.51793214e-06
 6.51904775e-06
 6.51666986e-06
 6.51540180e-06
 6.51446709e-06
 6.51488785e-06
 6.51499314e-06
 6.51491387e-06
 6.51474187e-06
 6.51476081e-06
 6.51456264e-06
 6.51476863e-06
 6.51507556e-06
 6.51523209e-06
 6.51509947e-06
 6.51479237e-06
 6.51446338e-06
 Inf
 2.52308448e+202
 6.51359814e-06
 6.51443345e-06
 6.51529530e-06
 6.51591065e-06
 6.51564381e-06
 6.51565221e-06
 6.51571439e-06
 6.51526007e-06
 6.51486467e-06
 6.51479817e-06
 6.51615759e-06
 6.51556051e-06
 6.51465179e-06
 6.51472598e-06
 6.51522054e-06
 6.51506115e-06
 6.51476491e-06
 6.51462220e-06
 6.51574035e-06
 6.51604636e-06
 6.51567827e-06
 6.51577776e-06
 6.51568265e-06
 6.51551911e-06
 6.51560269e-06
 6.51614257e-06
 6.51602370e-06
 6.51562323e-06
 6.51584091e-06
 6.51567341e-06
 6.51532822e-06
 6.51526639e-06
 6.51534504e-06
 6.51566704e-06
 6.51548630e-06
 Inf
 6.51432016e-06
 6.51490298e-06
 6.51533101e-06
 6.51505441e-06
 6.51470618e-06
 6.51502072e-06
 6.51537202e-06
 6.51510880e-06
 6.51482917e-06
 6.51555640e-06
 6.51534658e-06
 6.51487102e-06
 6.51481973e-06
 6.51556499e-06
 6.51555330e-06
 6.51547511e-06
 6.51676351e-06
 6.51751446e-06
 6.51639519e-06
 6.51614610e-06
 6.51686966e-06
 6.51704678e-06
 6.51607648e-06
 6.51524965e-06
 6.51513574e-06
 6.51618786e-06
 6.51568679e-06
 6.51528914e-06
 6.51617175e-06
 6.48732711e-06
 6.51561679e-06
 6.51488818e-06
 6.51472904e-06
 6.51443424e-06
 6.51502647e-06
 6.51537210e-06
 6.51503220e-06
 6.51469777e-06
 6.51467113e-06
 6.51468808e-06
 6.51506694e-06
 6.51502402e-06
 6.51468725e-06
 6.51445369e-06
 6.51457026e-06
 6.51486275e-06
 6.51470710e-06
 6.51443672e-06
 6.51474376e-06
 Inf
 Inf
 6.51423690e-06
 6.51515684e-06
 6.51521342e-06
 6.51489113e-06
 6.51533277e-06
 6.51532956e-06
 6.51519948e-06
 6.51555574e-06
 6.51585695e-06
 6.51598871e-06
 6.51588384e-06
 6.51581474e-06
 6.51582687e-06
 6.51559890e-06
 6.51530503e-06
 6.51538728e-06
 6.51547228e-06
 6.51515805e-06
 6.51482992e-06
 6.51485420e-06
 6.51494310e-06
 6.51513019e-06
 6.51496714e-06
 6.51496441e-06
 6.51532765e-06
 6.51520650e-06
 6.51497440e-06
 6.51500179e-06
 6.51558603e-06
 6.51567663e-06
 6.51525483e-06
 6.51522652e-06
 6.51664474e-06
 6.51619888e-06
 6.51553053e-06
 6.51624005e-06
 6.51646963e-06
 6.51552825e-06
 6.51484638e-06
 6.51492139e-06
 6.51524104e-06
 6.51508411e-06
 6.51461002e-06
 6.51514450e-06
 6.51537943e-06
 6.51529162e-06
 6.51643108e-06
 6.51654910e-06
 6.51635005e-06
 6.51665315e-06
 6.51723468e-06
 6.51871097e-06
 6.51877590e-06
 6.51887146e-06
 6.52169027e-06
 6.52156504e-06
 6.51896893e-06
 6.51873014e-06
 6.51873354e-06
 6.51822371e-06
 6.51751232e-06
 6.51665025e-06
 6.51756465e-06
 6.51892032e-06
 6.51724345e-06
 6.51596279e-06
 6.51574790e-06
 6.49316064e-06
 6.51566654e-06
 6.51556949e-06
 6.51578094e-06
 6.51589640e-06
 6.51543671e-06
 6.51458728e-06
 6.51453260e-06
 6.51500124e-06
 6.51478095e-06
 6.51484036e-06
 6.51454871e-06
 6.51441118e-06
 6.51465194e-06
 6.51458306e-06
 6.51445387e-06
 Inf
 4.27435513e+283
 3.24950519e+238
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.68676028e+294
 Inf
 Inf
 3.37114576e+264
 Inf
 Inf
 Inf
 5.05033845e+256
 6.51383463e-06
 6.51448180e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51445173e-06
 Inf
 Inf
 6.51409117e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 4.25997818e+218
 1.09642856e+198
 Inf
 Inf
 Inf
 6.41445418e+269
 2.27810321e+280
 2.76274870e+212
 9.43362917e+171
 2.73159223e+233
 9.62553126e+295
 6.39153936e+234
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.27745372e+159
 3.10132476e+136
 9.76266842e+280
 5.08945606e+185
 4.10510566e+138
 8.66120748e+210
 Inf
 7.79776859e+258
 1.18485766e+160
 3.12053947e+157
 1.05438053e+200
 9.74602102e+158
 8.35891634e+239
 Inf
 Inf
 Inf
 6.51441880e-06
 Inf
 Inf
 Inf
 3.02223169e+171
 1.59445943e+210
 4.48130046e+216
 1.19624550e+223
 Inf
 Inf
 1.28521143e+215
 5.95227276e+246
 Inf
 7.07424755e+149
 1.00694172e+182
 5.98513529e+244
 5.56880543e+291
 Inf
 Inf
 7.33861883e+193
 1.98677247e+207
 Inf
 Inf
 1.63401177e+231
 2.20671666e+250
 6.51381321e-06
 Inf
 1.18597955e+212
 2.89771648e+149
 7.16857479e+193
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51423692e-06
 Inf
 Inf
 Inf
 Inf
 6.51440160e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.77583830e+189
 1.58356450e+151
 1.02362414e+118
 5.61698988e+112
 1.13544704e+191
 Inf
 1.78215980e+189
 8.70854938e+206
 6.51349381e-06
 6.51511930e-06
 6.51537708e-06
 6.51516626e-06
 6.51629420e-06
 6.51653219e-06
 6.51576806e-06
 6.51545022e-06
 6.51696132e-06
 6.52325922e-06
 6.52239653e-06
 6.51805730e-06
 6.51758258e-06
 6.51690309e-06
 6.51611348e-06
 6.51592291e-06
 6.51613010e-06
 6.51630286e-06
 6.51581215e-06
 6.51588874e-06
 6.51630775e-06
 6.51600072e-06
 6.51620748e-06
 6.51642598e-06
 6.51646151e-06
 6.51594393e-06
 6.51546942e-06
 6.51519521e-06
 Inf
 6.51389081e-06
 6.51491251e-06
 6.51651865e-06
 6.51712533e-06
 6.51630650e-06
 6.51638734e-06
 6.51735932e-06
 6.51707584e-06
 6.51629694e-06
 6.51570313e-06
 6.51620737e-06
 6.51652364e-06
 6.51581795e-06
 6.51525357e-06
 6.51512885e-06
 6.51540326e-06
 6.51587774e-06
 6.51681473e-06
 6.51694565e-06
 6.51693982e-06
 6.51703296e-06
 6.51689875e-06
 6.51709062e-06
 6.51704227e-06
 6.51677818e-06
 6.51638632e-06
 6.51612114e-06
 6.51600045e-06
 6.51660505e-06
 6.51653359e-06
 6.51592305e-06
 6.51547643e-06
 6.51526760e-06
 6.51539386e-06
 6.51552658e-06
 6.51536908e-06
 6.51544348e-06
 6.51586710e-06
 6.51616152e-06
 6.51558469e-06
 6.51502880e-06
 6.51481969e-06
 6.51532900e-06
 6.51514204e-06
 6.51481385e-06
 Inf
 2.88795346e+181
 1.81729899e+216
 7.00382481e+149
 2.07119689e+230
 2.80336029e+229
 2.23698068e+142
 1.27305232e+167
 Inf
 Inf
 3.27601343e+125
 1.34891929e+118
 2.35067247e+135
 6.05530545e+125
 8.90041305e+137
 2.01031955e+107
 9.91114716e+150
 Inf
 Inf
 Inf
 6.41475831e+248
 1.64405505e+272
 9.83895304e+232
 3.84418804e+225
 6.97665584e+266
 6.37381870e+234
 2.20788139e+250
 3.57336848e+184
 2.98080820e+171
 1.26918393e+209
 6.32179220e+248
 Inf
 3.27911753e+148
 1.59283449e+107
 2.17027158e+167
 3.73040068e+147
 3.59675542e+158
 Inf
 1.33958393e+134
 1.47170196e+96
 1.52855152e+91
 4.33354763e+111
 Inf
 Inf
 5.38259836e+178
 9.99252618e+154
 3.15040282e+120
 2.24288012e+199
 Inf
 Inf
 5.28030777e+214
 3.45628331e+276
 Inf
 Inf
 1.08790623e+221
 2.22630639e+167
 2.37614049e+135
 2.37217330e+131
 2.09556350e+176
 1.51657867e+178
 4.93619469e+124
 4.49462057e+133
 3.89991152e+109
 3.75517057e+93
 1.42901190e+161
 Inf
 2.43347011e+208
 1.67452390e+218
 Inf
 Inf
 4.47208945e+188
 4.35070430e+236
 2.34212057e+198
 Inf
 Inf
 Inf
 6.51396361e-06
 6.51438451e-06
 6.51487559e-06
 5.39141671e+214
 6.28743108e+140
 3.71114734e+228
 Inf
 Inf
 Inf
 6.51425781e-06
 6.51470600e-06
 Inf
 Inf
 6.55371413e+262
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51417639e-06
 6.51466283e-06
 6.51489133e-06
 Inf
 Inf
 Inf
 6.51402591e-06
 6.51449286e-06
 6.51483825e-06
 Inf
 6.51460087e-06
 6.51579935e-06
 6.51539939e-06
 Inf
 Inf
 Inf
 6.51425669e-06
 6.51454739e-06
 2.14532906e+164
 3.51284785e+72
 8.73255770e+92
 7.46454590e+127
 1.33558466e+132
 1.34890557e+148
 1.36358620e+293
 2.30080985e+290
 1.48623297e+277
 Inf
 Inf
 Inf
 Inf
 5.10350065e+185
 1.27295782e+209
 3.45250761e+276
 Inf
 6.51409442e-06
 6.51464742e-06
 Inf
 Inf
 5.93423577e+230
 Inf
 6.51411598e-06
 6.50330039e-06
 6.51486179e-06
 6.51466602e-06
 Inf
 Inf
 Inf
 Inf
 6.51423284e-06
 6.51472121e-06
 6.51451666e-06
 6.51442142e-06
 6.51459145e-06
 6.51514436e-06
 6.51532294e-06
 6.51509174e-06
 6.51497679e-06
 6.51504671e-06
 6.51498800e-06
 6.51486562e-06
 6.51467328e-06
 6.51484186e-06
 6.51500698e-06
 Inf
 Inf
 6.51404732e-06
 6.51459590e-06
 6.51510457e-06
 Inf
 Inf
 Inf
 6.51415268e-06
 6.51470713e-06
 3.51190451e+179
 6.47364914e+98
 5.35106701e+132
 1.68031093e+193
 6.03640955e+153
 4.48710382e+136
 Inf
 Inf
 1.76010833e+125
 7.54898684e+127
 Inf
 1.23929395e+123
 3.45740210e+108
 3.61562929e+213
 Inf
 1.11071977e+198
 3.74686413e+147
 2.02934112e+128
 2.17750857e+110
 7.53850899e+128
 6.46834616e+204
 Inf
 6.51442406e-06
 Inf
 Inf
 Inf
 7.81767419e+240
 Inf
 Inf
 Inf
 7.10353259e+266
 Inf
 6.51405866e-06
 6.51463796e-06
 7.03163720e+217
 2.54248172e+163
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51418328e-06
 6.51475258e-06
 6.51465772e-06
 Inf
 Inf
 Inf
 1.12044749e+198
 3.09305182e+223
 Inf
 Inf
 6.51527364e-06
 6.52833390e-06
 6.52752828e-06
 6.51872947e-06
 6.51619115e-06
 6.51580949e-06
 6.51542230e-06
 6.51499269e-06
 6.51481579e-06
 6.51468793e-06
 Inf
 Inf
 6.51436538e-06
 Inf
 1.17957910e+212
 1.07728297e+156
 2.12587535e+86
 5.32260421e+20
 9.30238682e+19
 7.07261075e+60
 9.78316194e+78
 1.28142221e+119
 1.65593442e+171
 Inf
 Inf
 1.16895434e+23
 2.59073542e+04
 2.57060616e+05
 8.02823662e+03
 1.58429815e+03
 2.26580078e+14
 2.82297942e+06
 3.57975655e+07
 7.51234974e+76
 2.05004100e+81
 7.25015017e+118
 9.72629293e+169
 1.85683841e+149
 9.45343386e+172
 Inf
 Inf
 5.00124605e+199
 4.87505014e+211
 7.70640846e+258
 1.46117639e+225
 1.04515292e+268
 1.77147812e+189
 7.61439322e+110
 6.91867520e+103
 1.06832971e+115
 1.06095171e+93
 4.02729039e+102
 Inf
 6.00341621e+245
 3.76452482e+147
 Inf
 Inf
 1.11996322e+201
 1.15137195e+168
 9.69876835e+158
 3.31202516e+142
 1.65437179e+123
 2.12919799e+102
 4.86072971e+122
 8.42417132e+143
 4.41316359e+117
 1.29582033e+138
 1.77956938e+235
 9.96648908e+173
 1.70230385e+173
 6.54360169e+219
 1.50864946e+236
 6.24671074e+243
 1.91038396e+146
 4.95923699e+105
 1.46452189e+142
 2.36744042e+153
 4.11923448e+94
 5.38037062e+93
 4.35201439e+117
 8.95226215e+122
 3.93062143e+105
 2.19334110e+97
 5.85473541e+152
 2.22160503e+280
 5.03455270e+200
 4.47434263e+216
 Inf
 Inf
 2.67702116e+124
 3.85303596e+154
 Inf
 Inf
 6.56702124e+150
 3.41829066e+111
 4.34984795e+144
 3.03262885e+170
 1.37302241e+100
 4.80917442e+83
 4.94810827e+235
 7.46570838e+235
 8.63392293e+165
 7.42809618e+166
 2.25366951e+123
 6.66271198e+131
 4.19616853e+137
 1.48883562e+163
 6.99936384e+189
 8.81655764e+138
 1.04876321e+200
 Inf
 5.75111517e+187
 1.58323933e+151
 1.14079076e+212
 7.50197034e+205
 3.22541779e+169
 2.17935212e+250
 1.04905909e+208
 1.50843656e+153
 6.50378734e+136
 1.44879161e+117
 1.07224201e+127
 4.43397788e+149
 1.88266606e+162
 3.23318241e+125
 3.89320314e+109
 2.80054948e+187
 3.74028557e+210
 1.90360758e+139
 5.54028187e+134
 1.48764303e+163
 1.21450600e+164
 Inf
 Inf
 8.06851389e+129
 5.91552264e+101
 6.57686324e+122
 4.07191990e+150
 5.43012960e+132
 4.35556722e+188
 9.49418466e+152
 7.90923655e+129
 5.44186499e+128
 7.09127038e+115
 2.12832892e+92
 3.84748158e+95
 8.25461489e+96
 9.73627307e+105
 1.50065422e+154
 1.31924919e+134
 6.05358592e+125
 2.39079393e+109
 4.04850244e+102
 2.22052729e+123
 5.60110020e+123
 8.42686906e+143
 9.73211107e+185
 1.16086618e+176
 8.10379579e+275
 Inf
 1.41514707e+228
 9.57537439e+172
 4.50477555e+141
 2.35043498e+125
 9.37622910e+136
 1.50716144e+152
 1.82188790e+184
 6.28975892e+248
 Inf
 Inf
 Inf
 Inf
 Inf
 2.45220293e+251
 1.01030040e+271
 Inf
 Inf
 6.51420252e-06
 Inf
 Inf
 6.51412409e-06
 Inf
 3.99639210e+176
 3.82381636e+167
 7.72647850e+233
 2.69619664e+267
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.77291619e+262
 Inf
 Inf
 1.94664849e+227
 Inf
 Inf
 Inf
 1.24559912e+164
 1.84068138e+76
 2.19196021e+123
 Inf
 Inf
 6.68036076e+242
 4.44575230e+188
 Inf
 Inf
 1.72703237e+193
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.93711401e+245
 1.94098374e+244
 7.50403690e+215
 5.34464961e+162
 3.90370952e+95
 1.25733079e+72
 9.67095841e+181
 Inf
 1.69117979e+220
 9.56695589e+172
 4.41876825e+146
 8.47562895e+143
 1.95651391e+282
 6.51387279e-06
 Inf
 2.88777548e+239
 5.88214083e+195
 3.09174874e+223
 Inf
 Inf
 1.45994282e+190
 1.32627754e+134
 8.84469601e+162
 4.25270218e+163
 5.63034585e+187
 1.65737211e+220
 Inf
 Inf
 3.93494561e+132
 1.52614689e+93
 8.55959742e+252
 2.83922248e+178
 1.50251079e+153
 1.03111193e+219
 1.06265902e+175
 2.85873434e+140
 1.52241860e+145
 1.20972835e+164
 2.56426657e+183
 5.34139755e+181
 5.99121786e+152
 5.45085263e+224
 3.22669518e+238
 2.65218182e+93
 9.59684898e+87
 6.01433167e+137
 5.07055677e+197
 1.02538100e+254
 Inf
 6.51382257e-06
 Inf
 6.10943727e+138
 6.48416375e+136
 4.90332207e+135
 7.33824968e+119
 1.64574107e+123
 1.67112807e+150
 1.34708915e+158
 1.91919790e+182
 4.21568590e+118
 1.48895081e+97
 2.84896555e+137
 9.80043278e+173
 1.85289507e+115
 2.04598213e+101
 6.31514398e+150
 1.91631312e+157
 9.86880067e+105
 1.03269804e+110
 2.66794285e+132
 3.77320006e+93
 1.39605502e+87
 2.33977935e+118
 2.05011273e+113
 5.19645246e+91
 1.23087357e+111
 4.10664152e+123
 2.85131877e+149
 1.71860179e+125
 2.17738579e+114
 9.39886718e+131
 8.12918552e+109
 3.90104728e+106
 1.66858787e+100
 1.53153868e+130
 3.21343312e+125
 1.12456676e+80
 1.94725809e+82
 7.45442265e+83
 4.90808427e+73
 2.85231501e+69
 3.29195756e+70
 5.38510419e+81
 Inf
 Inf
 9.21771638e+122
 2.31106930e+119
 1.94432498e+79
 7.07285051e+67
 1.38054614e+87
 2.64145422e+122
 1.13908961e+126
 4.49625568e+133
 4.06472416e+139
 7.56700018e+120
 6.20182562e+91
 1.56942420e+98
 2.15923154e+110
 5.38219942e+115
 2.17098066e+110
 1.59598706e+116
 1.03475527e+169
 1.66779163e+172
 1.33823800e+110
 1.29395537e+98
 1.67471452e+108
 4.91877255e+105
 1.29240798e+98
 4.26857269e+98
 1.23842930e+125
 3.30288422e+121
 3.35139679e+77
 5.35970160e+86
 3.27083519e+179
 2.99921225e+126
 2.11681934e+86
 1.20031120e+96
 3.54204699e+110
 1.47828565e+127
 3.03679357e+123
 9.86989336e+154
 Inf
 2.67334407e+297
 Inf
 6.51413325e-06
 Inf
 3.41310924e+205
 Inf
 Inf
 1.29988853e+215
 1.47052240e+277
 Inf
 Inf
 Inf
 Inf
 1.48117607e+225
 2.59993914e+185
 Inf
 Inf
 1.32196051e+261
 Inf
 7.77614935e+298
 1.00174568e+174
 1.13112430e+162
 Inf
 6.51396505e-06
 6.51446498e-06
 Inf
 Inf
 Inf
 4.17446078e+268
 4.07294017e+271
 Inf
 Inf
 Inf
 Inf
 Inf
 1.14920699e+274
 Inf
 Inf
 Inf
 Inf
 4.02245205e+105
 7.15552524e+51
 7.61919109e+59
 2.98919354e+26
 1.16647737e+13
 1.13969120e+20
 2.27037888e+42
 3.80611530e+40
 5.64994023e+41
 2.75346630e+48
 4.56044321e+46
 2.54871954e+40
 7.82904325e+10
 2.95533353e+11
 9.02682970e+37
 7.94256369e+44
 1.44159914e+44
 2.56325088e+42
 8.25447987e+74
 4.84169214e+41
 2.85264606e+26
 9.79722245e+38
 1.50063345e+51
 2.24803811e+65
 1.83861447e+138
 Inf
 2.75945050e+278
 5.71634928e+187
 5.03593305e+185
 3.11326693e+136
 6.21184980e+140
 2.15888782e+250
 8.90913843e+263
 2.71576562e+226
 6.41509275e+262
 2.78645864e+292
 5.19617329e+279
 1.51081241e+194
 6.05485100e+121
 3.63967184e+213
 Inf
 3.56833628e+164
 5.07656638e+102
 8.36388717e+143
 Inf
 Inf
 Inf
 Inf
 Inf
 6.59084624e+262
 8.37324432e+192
 1.84066323e+169
 Inf
 6.51406756e-06
 Inf
 3.61636890e+184
 Inf
 Inf
 Inf
 Inf
 5.42097904e+172
 5.44834407e+115
 1.89732468e+248
 Inf
 1.91250431e+286
 6.72700590e+155
 6.07908991e+125
 Inf
 4.11764514e+271
 1.28753963e+209
 1.67828716e+172
 1.33451323e+195
 4.54240138e+207
 5.76595117e+147
 6.50967084e+204
 Inf
 6.51432291e-06
 7.64068613e+186
 5.15074281e+227
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.13724246e+224
 1.85343346e+295
 1.33368256e+204
 1.12089978e+100
 4.31840860e+112
 9.84802841e+141
 3.09314420e+119
 1.67405135e+100
 3.18764042e+107
 9.32251430e+136
 1.64187560e+135
 9.91391001e+141
 6.51315698e-06
 6.51459893e-06
 1.00429061e+63
 1.29184620e+67
 1.12128378e+160
 8.89965596e+162
 1.80546688e+179
 2.62278068e+159
 7.62565641e+128
 2.31445542e+119
 2.05060815e+113
 4.05275558e+102
 3.55638414e+124
 3.09292475e+157
 2.87502585e+149
 4.98266113e+165
 1.49838806e+163
 2.56594379e+155
 9.46367811e+170
 7.00299447e+182
 7.93960432e+251
 2.75515778e+212
 5.36457322e+181
 5.65087338e+187
 4.97787487e+200
 3.10299645e+194
 1.49610975e+194
 1.04100587e+219
 Inf
 Inf
 7.81132782e+240
 8.49533759e+239
 Inf
 Inf
 1.52801889e+163
 1.17105900e+160
 4.12223275e+155
 2.66473812e+226
 Inf
 Inf
 4.12555783e+192
 3.53872072e+145
 4.97738009e+148
 7.16706566e+193
 1.59750899e+231
 7.67155363e+229
 6.24110059e+243
 1.82156295e+235
 1.12689553e+188
 7.70404695e+123
 9.60840432e+98
 2.82453887e+149
 Inf
 5.26633947e+214
 1.31808624e+138
 4.13528803e+123
 1.10093230e+130
 1.99104833e+105
 1.67874573e+108
 1.67020680e+173
 5.90156397e+203
 1.33419083e+185
 3.88484719e+176
 5.65644617e+123
 1.41215876e+124
 3.33845564e+131
 9.18272394e+133
 1.34163595e+158
 4.38691998e+281
 Inf
 2.39422431e+201
 2.85015629e+190
 5.39466484e+170
 3.74450561e+228
 2.14314506e+242
 1.50179768e+181
 4.76585661e+131
 9.90505275e+141
 5.46637137e+127
 9.60712564e+158
 Inf
 5.29375736e+279
 9.61353796e+170
 9.51468678e+288
 Inf
 1.22804392e+255
 1.89730978e+245
 6.35720637e+248
 1.93604387e+186
 3.81460637e+225
 2.99705470e+171
 1.25992801e+125
 3.03513496e+123
 3.57962437e+124
 8.65822929e+103
 9.63986671e+84
 5.94123055e+89
 2.60160993e+104
 5.40936152e+86
 3.22495051e+97
 1.17340401e+149
 7.40701362e+118
 1.98615374e+105
 7.27878398e+119
 1.57295329e+88
 1.47719414e+79
 3.13480408e+62
 1.72082586e+70
 1.82621535e+139
 2.36574340e+153
 2.31594388e+145
 3.22195507e+107
 1.93964673e+79
 1.85108520e+66
 3.19985206e+75
 2.76537931e+140
 3.01502696e+215
 4.54731398e+113
 1.65221345e+90
 6.95938863e+135
 5.97320661e+168
 4.84507354e+211
 Inf
 1.02767051e+182
 5.74727091e+147
 Inf
 Inf
 Inf
 6.51428270e-06
 Inf
 3.01410541e+209
 1.18860522e+99
 1.48451759e+83
 4.00786838e+155
 4.36657792e+156
 5.99765707e+247
 6.51377007e-06
 Inf
 Inf
 Inf
 6.51421134e-06
 6.51474049e-06
 6.51439330e-06
 6.51455882e-06
 Inf
 8.45002651e+275
 Inf
 5.06289509e+256
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51406863e-06
 6.51446457e-06
 Inf
 9.60881870e+171
 1.01917658e+254
 Inf
 2.20300152e+258
 Inf
 Inf
 Inf
 1.45630490e+256
 Inf
 Inf
 1.53150819e+236
 Inf
 6.51430675e-06
 1.25000857e+255
 8.36721498e+192
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.78723095e+189
 4.44678370e+177
 6.17968251e+243
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.80318572e+237
 6.51396544e-06
 6.52253960e-06
 6.52718700e-06
 6.52544581e-06
 6.52366092e-06
 6.52695440e-06
 6.52478438e-06
 6.52141003e-06
 6.51904169e-06
 6.51763446e-06
 6.51723910e-06
 6.51626987e-06
 6.51534243e-06
 6.51470946e-06
 6.51475176e-06
 6.51492134e-06
 6.51479866e-06
 6.51445806e-06
 6.51468824e-06
 Inf
 Inf
 4.54631004e+281
 2.14406769e+176
 3.61693710e+158
 7.60746976e+258
 6.51370737e-06
 6.51457367e-06
 Inf
 Inf
 Inf
 Inf
 6.51420483e-06
 6.51440644e-06
 Inf
 Inf
 1.90908807e+286
 1.94327613e+227
 4.99556086e+142
 2.38121120e+152
 4.82447890e+211
 Inf
 6.51422887e-06
 Inf
 Inf
 Inf
 Inf
 8.39897085e+192
 6.25148632e+154
 Inf
 Inf
 4.67785456e+222
 2.71733081e+278
 Inf
 2.03027147e+288
 1.05334266e+219
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.29964960e+214
 6.81082223e+161
 2.72011037e+259
 Inf
 Inf
 Inf
 5.42715268e+172
 4.43413470e+177
 Inf
 Inf
 6.51438698e-06
 Inf
 7.34968794e+226
 6.67163545e+272
 Inf
 Inf
 Inf
 Inf
 3.45622823e+264
 2.69413239e+203
 9.84977112e+185
 9.51846526e+170
 4.44778505e+216
 9.43843095e+171
 1.86954260e+245
 Inf
 Inf
 Inf
 6.51421799e-06
 Inf
 6.52530190e+194
 Inf
 6.51421842e-06
 Inf
 5.12236468e+198
 2.23259114e+180
 Inf
 6.51440464e-06
 Inf
 Inf
 6.51406478e-06
 6.51459344e-06
 Inf
 6.51439427e-06
 6.51452224e-06
 6.51500014e-06
 6.51462038e-06
 6.51475885e-06
 Inf
 Inf
 Inf
 Inf
 8.20622739e+223
 1.25575333e+265
 Inf
 1.91191470e+245
 1.48575980e+205
 Inf
 Inf
 Inf
 Inf
 7.52669459e+186
 1.01466436e+182
 7.20480501e+250
 3.08289990e+251
 1.04951023e+219
 Inf
 Inf
 4.13540692e+271
 1.01845919e+151
 1.82134671e+184
 Inf
 Inf
 Inf
 9.67590905e+238
 Inf
 Inf
 7.91666523e+240
 1.28348043e+209
 3.23666307e+174
 4.26190519e+163
 6.82659724e+209
 1.17932302e+160
 1.09903323e+133
 5.99857502e+121
 5.59523529e+143
 1.10877118e+188
 4.96951582e+198
 6.30930790e+248
 4.16382868e+255
 6.17712369e+257
 8.23220582e+275
 2.61268095e+185
 2.57084140e+196
 2.74439479e+259
 Inf
 3.65951618e+294
 3.50884109e+232
 Inf
 Inf
 4.99598773e+199
 1.98875898e+207
 Inf
 3.56259216e+254
 6.49814311e+150
 2.22386656e+133
 7.05345798e+226
 2.62499068e+219
 9.56607426e+172
 Inf
 Inf
 Inf
 2.04968158e+288
 6.80298532e+217
 1.20309871e+255
 Inf
 Inf
 Inf
 5.27228728e+214
 4.16324060e+119
 4.45253366e+141
 Inf
 Inf
 3.82036492e+237
 2.76424878e+233
 Inf
 Inf
 Inf
 Inf
 Inf
 1.05408924e+208
 5.76617765e+147
 7.15819744e+163
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.11801836e+221
 2.23939652e+180
 1.92791292e+182
 7.65848317e+258
 1.12653999e+291
 4.71346708e+274
 1.07277833e+200
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.80271098e+233
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.24148859e+241
 Inf
 6.51403840e-06
 Inf
 3.88091854e+228
 1.07429573e+221
 Inf
 2.41227826e+263
 2.31820092e+200
 3.08029500e+130
 1.29278566e+177
 5.90639322e+203
 1.97578210e+94
 8.23199640e+116
 2.58358949e+159
 6.75378290e+161
 3.64483478e+122
 8.70373812e+138
 9.42769660e+172
 7.17379559e+108
 1.53401686e+91
 1.10631223e+83
 1.20411881e+113
 5.02419775e+227
 1.69976245e+206
 1.98657510e+192
 Inf
 3.37673231e+264
 8.12310504e+223
 6.71767462e+122
 5.08087128e+80
 1.10423975e+102
 1.32458910e+132
 2.68374295e+97
 8.24234167e+116
 1.75493566e+174
 5.59415677e+118
 6.65393756e+131
 4.09408457e+218
 1.40242336e+298
 Inf
 7.13771466e+241
 1.16000293e+212
 1.00366089e+155
 1.37291575e+84
 5.91381777e+130
 1.27213964e+144
 1.93915143e+98
 2.73091068e+139
 7.80079098e+102
 1.13645228e+79
 4.46435747e+78
 1.16383565e+90
 3.75356877e+132
 3.83851456e+176
 2.88450250e+149
 2.80043425e+110
 4.07435684e+126
 3.76622012e+206
 2.42698307e+197
 1.15356677e+126
 4.12402531e+115
 4.08098490e+126
 2.01558313e+112
 3.82653602e+96
 1.81811193e+91
 8.96075023e+101
 5.56427637e+123
 1.03678628e+124
 4.94695827e+165
 4.42790240e+177
 9.89071862e+118
 2.63927087e+111
 1.21737665e+113
 8.20053857e+114
 2.60008306e+150
 4.29780479e+130
 9.54751511e+151
 1.15112005e+191
 2.51087675e+143
 7.89354603e+106
 5.81556127e+80
 1.46326222e+82
 2.24404997e+87
 4.24947085e+89
 2.86967167e+86
 7.76723095e+98
 5.56683663e+129
 2.41306097e+161
 7.84073719e+126
 7.54148488e+83
 2.92061560e+77
 2.98373434e+88
 3.68464157e+152
 1.90218018e+132
 8.74450621e+86
 5.01721207e+87
 1.35437082e+84
 7.06927023e+70
 2.21191314e+53
 4.22014781e+57
 3.13724833e+57
 2.31483297e+59
 4.87836271e+76
 7.20681925e+66
 1.55763250e+84
 1.84030673e+89
 2.67295006e+70
 1.07522744e+65
 1.05846878e+59
 4.37186824e+59
 3.47791166e+88
 4.02015217e+102
 1.77312170e+85
 7.08446515e+97
 2.62232948e+111
 9.99817410e+95
 1.84385337e+103
 1.94545625e+106
 1.10877119e+82
 8.17153039e+76
 1.63229587e+90
 2.79131003e+140
 2.41626220e+147
 4.51122856e+113
 2.07166823e+85
 3.51470269e+67
 2.22785492e+87
 3.04187963e+119
 5.13919303e+107
 2.04172481e+127
 3.98206658e+99
 3.81301098e+96
 1.47055785e+127
 9.89296331e+141
 1.49035220e+127
 2.23696398e+123
 1.13798136e+135
 1.89885688e+175
 1.92528087e+157
 3.14510158e+101
 7.91982163e+70
 5.76631661e+67
 9.50352058e+74
 6.53058621e+66
 3.83210713e+84
 1.90946838e+98
 1.14531543e+109
 1.57969969e+105
 7.11823660e+84
 2.30155997e+90
 2.36497452e+109
 1.11591650e+102
 3.09235263e+53
 3.28433836e+41
 2.77546295e+52
 1.25323916e+83
 1.76194336e+85
 9.69069895e+72
 8.59564374e+86
 3.00289768e+82
 3.91768619e+97
 1.79969275e+97
 1.13682856e+70
 1.19061328e+96
 3.30600676e+131
 2.31585717e+119
 4.43904002e+121
 1.11929897e+102
 3.12740421e+133
 2.37119895e+131
 1.21512304e+96
 6.16303926e+92
 4.48196847e+93
 4.44338222e+85
 4.87677143e+72
 2.87107468e+74
 4.79934467e+99
 7.21750825e+111
 2.65694492e+76
 2.25474995e+77
 8.12632433e+107
 3.06693180e+119
 6.45174294e+136
 9.45579858e+131
 2.20422623e+142
 5.28147241e+160
 3.20086997e+160
 9.45093037e+152
 8.95601200e+137
 1.30176955e+140
 5.66118142e+126
 1.44047394e+99
 1.43384039e+117
 1.64783067e+143
 1.07902489e+127
 2.05438472e+113
 2.26525049e+87
 3.60007815e+68
 2.38200084e+70
 3.70630623e+132
 2.94679571e+172
 3.88588918e+134
 5.61523826e+143
 1.50561515e+178
 9.59095057e+153
 4.51605758e+113
 6.64344047e+131
 6.01947829e+130
 2.05607853e+113
 7.09715665e+108
 1.36727687e+77
 2.59624417e+60
 4.06629245e+70
 1.92827596e+90
 4.88849269e+105
 7.24409955e+112
 6.50043247e+107
 5.56832760e+143
 4.20783888e+137
 3.81429897e+132
 2.26358074e+200
 1.22183293e+164
 1.60916880e+111
 1.35402018e+121
 1.05845826e+156
 3.34580489e+117
 3.66741109e+87
 1.24176508e+92
 2.04076404e+78
 1.09897317e+82
 1.20146765e+116
 1.67350879e+131
 1.26675149e+105
 7.29284055e+166
 Inf
 4.21171553e+155
 7.40681990e+142
 3.47202736e+164
 1.44655557e+187
 1.24654502e+265
 5.51414150e+202
 1.94176853e+140
 2.66774567e+95
 3.14086967e+96
 3.25000232e+102
 4.35211566e+111
 1.78111666e+118
 1.72583076e+83
 1.28448377e+119
 1.34683529e+118
 3.85225182e+80
 5.74353114e+100
 2.84869392e+129
 6.58599297e+155
 9.83098314e+169
 1.66186715e+123
 5.42092930e+93
 4.50752379e+84
 4.47445139e+78
 5.53467575e+83
 3.62985373e+91
 1.35613453e+84
 3.43839572e+78
 3.02872050e+89
 2.68233901e+81
 1.12372572e+88
 5.57444015e+111
 7.51939441e+83
 9.56435423e+87
 1.07939350e+101
 5.44579295e+81
 2.87630934e+67
 1.10915451e+74
 1.15597268e+99
 2.81586107e+114
 7.33788612e+99
 4.37442300e+76
 7.38226433e+69
 2.86329424e+67
 3.20187574e+75
 2.64478427e+83
 9.06009095e+90
 1.05366334e+93
 1.81038160e+93
 2.60624865e+82
 2.11685102e+84
 4.71922881e+101
 1.56738125e+89
 3.73175710e+93
 1.76852942e+85
 4.12082353e+75
 8.20067264e+84
 4.05907280e+104
 4.05567906e+155
 2.49709785e+143
 1.39194753e+102
 3.12697113e+115
 7.76224970e+102
 1.99103019e+83
 8.13234077e+87
 1.45328587e+109
 1.67754025e+104
 5.39665828e+93
 6.38828554e+136
 5.97485951e+168
 9.85764391e+119
 1.29702713e+98
 4.32906273e+98
 8.59574505e+103
 4.08810352e+104
 2.86601660e+98
 3.11963657e+118
 3.35848804e+112
 1.29136859e+91
 7.22310040e+76
 1.04743252e+93
 2.33895990e+152
 2.24855133e+123
 5.25163451e+98
 2.18935125e+95
 4.74741198e+116
 2.09970763e+104
 1.65250498e+101
 2.38549031e+147
 3.92410507e+128
 1.93644096e+87
 7.27454950e+99
 1.89799746e+144
 3.71434304e+114
 1.06232167e+98
 2.17262325e+93
 1.04319816e+92
 9.08952532e+90
 1.00074388e+97
 3.25056973e+102
 8.77306028e+91
 3.64288190e+87
 1.61089758e+94
 1.56387833e+89
 1.28260919e+91
 1.80551388e+121
 1.97616983e+137
 1.48870127e+163
 5.47744800e+128
 3.29215558e+85
 1.13935114e+109
 3.26912294e+142
 Inf
 Inf
 9.64994314e+152
 Inf
 6.51438137e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51429739e-06
 6.51460793e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51430486e-06
 Inf
 Inf
 6.51416541e-06
 6.51462983e-06
 6.51493709e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.04775807e+282
 6.19597420e+257
 Inf
 6.51434018e-06
 Inf
 Inf
 Inf
 6.51432042e-06
 6.51455808e-06
 Inf
 Inf
 Inf
 4.81106379e+265
 8.04870461e+251
 Inf
 Inf
 1.21389261e+223
 7.89642144e+126
 1.64870076e+123
 1.38930560e+190
 5.10368413e+157
 5.42329047e+202
 3.71449795e+237
 6.07565541e+168
 5.99731349e+138
 2.84577511e+114
 1.21839027e+113
 5.80951787e+100
 1.53987725e+133
 Inf
 6.70463052e+167
 1.09675595e+122
 7.10549277e+163
 5.08194816e+157
 8.35569465e+239
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.31406067e+261
 1.93725439e+175
 3.53738163e+184
 7.15889228e+226
 Inf
 Inf
 7.22944258e+176
 1.14107809e+197
 Inf
 Inf
 Inf
 1.23248979e+203
 8.96191323e+162
 2.37786342e+153
 1.85117610e+149
 4.92648569e+198
 1.69898124e+131
 8.34590158e+82
 1.83938993e+89
 5.96407763e+125
 4.39842265e+108
 3.61692531e+89
 4.78365510e+97
 2.81176484e+94
 1.31524934e+86
 9.57267598e+87
 9.81916332e+106
 2.77409559e+110
 2.26788969e+82
 2.61293968e+99
 1.29932721e+134
 1.17826020e+99
 6.36706987e+70
 1.23000116e+48
 1.70773807e+51
 Inf
 6.51606900e-06
 6.51917644e-06
 6.52322622e-06
 6.52091102e-06
 6.51745068e-06
 6.51590700e-06
 6.51534022e-06
 6.51511324e-06
 6.51507089e-06
 Inf
 Inf
 Inf
 6.51442712e-06
 6.51448444e-06
 6.51465077e-06
 6.51480908e-06
 6.51459188e-06
 6.51450218e-06
 6.51464091e-06
 6.51491651e-06
 6.51483689e-06
 6.51445567e-06
 6.51473271e-06
 Inf
 Inf
 6.51440494e-06
 Inf
 Inf
 Inf
 6.51419368e-06
 6.51443664e-06
 6.51496137e-06
 5.68840909e+202
 Inf
 6.51394303e-06
 Inf
 6.51430567e-06
 6.51444767e-06
 Inf
 Inf
 6.51428981e-06
 6.51472498e-06
 6.51470975e-06
 6.51461798e-06
 6.51458382e-06
 6.51467028e-06
 Inf
 Inf
 6.51421991e-06
 6.51455718e-06
 6.51462454e-06
 6.51460636e-06
 6.51449281e-06
 Inf
 Inf
 6.51391456e-06
 6.51454500e-06
 Inf
 Inf
 8.89634911e+284
 6.77229141e+249
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51437099e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51422770e-06
 Inf
 1.71430009e+171
 3.44586119e+232
 1.43840702e+256
 2.37669564e+120
 8.87541823e+92
 1.46554394e+153
 1.35556415e+148
 1.23994433e+106
 5.12060825e+107
 5.54432867e+103
 Inf
 6.51435684e-06
 1.63105832e+147
 3.05691185e+130
 4.12835199e+123
 7.85831705e+129
 8.10281836e+177
 1.19934808e+149
 1.81972524e+97
 8.81069675e+137
 6.47713121e+219
 6.05523380e+153
 2.38698956e+152
 2.88841937e+129
 7.59366218e+113
 1.26134294e+167
 9.48678472e+170
 3.18040233e+133
 1.07678368e+127
 1.47108790e+109
 2.86833610e+103
 5.77668548e+117
 3.12558611e+120
 5.98030618e+121
 4.34614564e+112
 6.19137483e+92
 1.05438402e+93
 4.06697007e+119
 5.58649711e+108
 7.68856269e+90
 1.61292684e+94
 4.53821216e+110
 2.32959982e+120
 4.11785558e+123
 1.17199659e+157
 5.62583618e+108
 4.41325657e+80
 1.36137947e+81
 4.48621957e+84
 1.09610242e+100
 4.36722212e+108
 3.09328278e+106
 2.34338594e+94
 1.50146027e+95
 6.16088570e+91
 1.08102319e+101
 1.57582495e+105
 6.96687631e+87
 4.47930942e+78
 4.31297772e+91
 8.18186567e+107
 1.95558539e+90
 1.91392014e+98
 1.04486892e+92
 8.80777286e+92
 1.16591484e+99
 2.12855566e+84
 3.08920180e+101
 5.59954165e+126
 1.08846371e+122
 1.31222978e+85
 7.40841287e+79
 4.23654010e+89
 8.15175339e+87
 3.53033100e+88
 1.79373616e+97
 2.84455568e+129
 1.22132993e+116
 7.15381995e+97
 2.45958868e+86
 1.04057495e+92
 2.46769806e+84
 3.56251504e+83
 3.83886266e+90
 6.66232878e+78
 7.02543978e+85
 2.13547313e+99
 4.40317467e+80
 1.59027374e+74
 4.57620729e+96
 3.08130506e+106
 5.40000044e+93
 7.06438246e+85
 5.55039594e+83
 4.15342973e+88
 3.82454288e+101
 1.05729309e+93
 3.73698791e+93
 1.35173881e+100
 1.11283133e+102
 8.68527978e+97
 2.14029696e+96
 4.08707317e+115
 1.52103928e+93
 4.48675571e+78
 1.27938484e+98
 7.82986887e+98
 1.28263676e+83
 8.02626045e+88
 2.80319599e+94
 1.64363942e+90
 1.13247698e+79
 2.13292639e+67
 3.29094481e+66
 6.19029554e+81
 3.86013470e+106
 5.23038711e+98
 8.82698722e+92
 3.80637610e+100
 3.67352937e+114
 3.32907273e+131
 7.55406491e+120
 4.11884089e+115
 4.64458987e+96
 1.28406770e+140
 1.66720422e+171
 9.49410822e+170
 2.83188322e+128
 1.03870845e+110
 1.26381306e+144
 7.20417451e+59
 3.98810179e+61
 2.70928124e+110
 2.04349521e+101
 1.67356842e+104
 5.22682946e+98
 8.65703770e+75
 8.28928160e+89
 1.31333439e+110
 1.77313004e+96
 7.55069393e+123
 1.64757519e+123
 3.32423842e+117
 2.99256090e+141
 5.99519669e+139
 1.00139438e+151
 1.71907657e+125
 1.15409243e+109
 1.56009197e+126
 1.04740526e+128
 1.99022369e+105
 3.13033377e+115
 4.93557593e+148
 1.22158188e+123
 7.54438306e+127
 1.87169329e+162
 7.09476570e+159
 6.33045295e+175
 4.43369224e+108
 5.80265634e+100
 1.54975407e+112
 3.91600705e+127
 3.14955395e+115
 4.92696585e+94
 2.15708121e+114
 7.52072715e+120
 5.47765686e+119
 3.27154719e+102
 3.26058443e+142
 5.45165345e+173
 7.38436288e+119
 1.01690154e+118
 3.07150732e+136
 3.04323616e+123
 5.39661199e+132
 5.63366685e+120
 1.67452625e+100
 7.38110142e+92
 1.37470471e+102
 1.53130148e+91
 1.99473340e+77
 1.11016527e+80
 1.68752317e+82
 1.56324720e+98
 5.52779942e+103
 7.07403219e+89
 1.64117187e+90
 2.54823283e+267
 5.58671018e+291
 5.50598711e+132
 3.75149594e+152
 1.49783843e+97
 3.40112162e+76
 1.63199899e+90
 3.80241350e+100
 5.58173915e+120
 4.08700985e+126
 1.41315545e+124
 1.05521216e+129
 3.00275195e+141
 2.50975789e+163
 4.53131394e+133
 9.19612124e+140
 4.36381926e+112
 4.76495643e+101
 7.49227612e+127
 4.40042766e+108
 7.08296325e+89
 2.80421577e+94
 1.12817917e+126
 7.55006040e+127
 1.07545829e+115
 2.01284689e+141
 9.57416916e+151
 4.49803636e+156
 8.34943383e+125
 1.60264577e+116
 1.91013724e+144
 1.04171288e+124
 4.40036745e+125
 3.69572983e+147
 3.58793297e+110
 7.29130831e+119
 7.53101297e+110
 6.20953445e+106
 1.90381701e+160
 6.69034081e+141
 2.54460483e+107
 1.34213064e+118
 5.07430292e+214
 2.79873308e+139
 9.69304810e+102
 4.08294181e+119
 3.19861010e+148
 4.11227518e+155
 1.01843864e+121
 4.71089838e+131
 1.98180345e+137
 7.94941657e+134
 6.71440502e+161
 1.74539817e+189
 2.52305695e+166
 4.12496393e+126
 5.25514245e+98
 3.94182693e+97
 1.03760944e+128
 3.93368609e+127
 1.24430273e+111
 2.33224295e+125
 2.66439070e+113
 7.14925299e+97
 1.28631230e+91
 2.86665691e+84
 7.22019169e+101
 7.72659528e+126
 2.83871174e+114
 4.11092194e+123
 1.47021895e+136
 1.47383496e+109
 4.87229562e+122
 3.45131266e+164
 1.21488599e+164
 8.81838707e+147
 1.35412743e+148
 3.79429940e+206
 6.88457903e+209
 1.07701171e+156
 2.69400803e+122
 5.47975290e+119
 2.62095672e+124
 1.70931253e+125
 2.76192995e+156
 4.74129519e+191
 3.62532979e+158
 6.21666337e+154
 1.11204536e+188
 9.71215236e+191
 2.62775566e+159
 1.01545581e+254
 Inf
 3.81423165e+186
 4.43889102e+108
 2.16674981e+110
 Inf
 Inf
 3.63211871e+260
 1.01152302e+271
 2.77630835e+259
 2.29134739e+290
 9.11395707e+282
 1.73944216e+165
 1.21497346e+164
 2.71583125e+212
 Inf
 Inf
 Inf
 3.55144845e+168
 1.74983918e+119
 3.67740460e+228
 4.38108048e+236
 1.15139121e+197
 1.12020774e+274
 9.61059377e+238
 7.50162191e+166
 1.07756994e+201
 Inf
 Inf
 Inf
 1.38980276e+141
 1.68987836e+173
 Inf
 Inf
 Inf
 Inf
 2.85355128e+195
 1.05962826e+128
 5.68474842e+147
 5.28386109e+172
 7.14410253e+115
 2.06959833e+148
 Inf
 Inf
 3.11561179e+215
 2.95081995e+204
 Inf
 6.51376695e-06
 6.51495697e-06
 6.51520653e-06
 6.51486452e-06
 6.51479732e-06
 6.51480560e-06
 6.51515051e-06
 6.51530871e-06
 6.51504646e-06
 6.51488785e-06
 1.26296309e+164
 1.05532648e+128
 2.90394638e+209
 Inf
 6.51392169e-06
 6.51464939e-06
 6.51480787e-06
 6.51476224e-06
 6.51474740e-06
 6.51444496e-06
 6.51462082e-06
 6.51470398e-06
 6.51459867e-06
 6.51523647e-06
 6.51528932e-06
 Inf
 6.51423767e-06
 6.51466701e-06
 6.51452776e-06
 6.51449843e-06
 6.51492457e-06
 6.51503061e-06
 Inf
 Inf
 6.51434172e-06
 6.51456595e-06
 6.51471376e-06
 6.51488248e-06
 6.51465051e-06
 6.51487610e-06
 Inf
 6.51421098e-06
 6.51484499e-06
 6.51521965e-06
 6.51509208e-06
 6.51477053e-06
 6.51471486e-06
 6.51489385e-06
 Inf
 6.51424610e-06
 6.51465397e-06
 6.51514742e-06
 Inf
 6.51406447e-06
 Inf
 Inf
 6.51416061e-06
 6.51465924e-06
 6.51505682e-06
 Inf
 6.51425281e-06
 Inf
 2.04696484e+207
 9.92175376e+118
 9.66715043e+110
 1.34164914e+101
 8.29469079e+82
 1.05036067e+93
 7.98334413e+121
 1.82492112e+121
 2.46266328e+106
 1.72677222e+119
 2.75646936e+156
 4.48929905e+136
 7.19459875e+100
 2.51958284e+107
 6.33183435e+150
 1.67634582e+151
 5.43094330e+115
 1.15143752e+109
 6.98773447e+159
 5.91921960e+164
 4.15289455e+115
 4.78003354e+116
 3.19546020e+148
 4.12969764e+119
 6.20019846e+91
 2.44063539e+106
 3.18313835e+148
 4.41727971e+108
 5.64738550e+95
 4.41123144e+136
 2.19330256e+167
 2.06874052e+113
 1.43615045e+99
 1.85781704e+146
 2.63684789e+124
 1.87413889e+109
 7.05501578e+115
 1.46852035e+129
 1.65128205e+172
 3.94007862e+128
 1.87728362e+134
 2.36268321e+153
 9.48744209e+131
 1.65070200e+123
 3.86411855e+101
 1.92129415e+98
 2.85875491e+103
 1.32190549e+108
 4.80431289e+114
 1.04402788e+128
 5.04718078e+102
 3.78985004e+79
 3.54096676e+81
 4.07973507e+81
 5.51297554e+73
 4.76340624e+83
 7.50526062e+123
 3.57948359e+124
 7.69054634e+117
 8.10316198e+109
 1.26042176e+105
 7.73595646e+126
 1.71042930e+125
 2.83761488e+114
 3.13912461e+115
 2.40660012e+68
 4.32199526e+50
 2.05512822e+69
 4.30202074e+108
 4.04637052e+107
 7.76382508e+40
 1.60802031e+26
 1.91716370e+25
 9.66125684e+26
 8.72050012e+27
 2.89401860e+25
 2.03956150e+27
 4.94522765e+26
 2.05293824e+26
 3.23115450e+29
 3.20223148e+32
 4.20112400e+37
 2.21193311e+39
 9.23554958e+34
 1.40658512e+32
 1.44102861e+33
 1.05393148e+53
 6.21399919e+77
 1.85097050e+45
 7.44170744e+34
 1.82077879e+36
 3.20727005e+31
 2.57486660e+30
 1.71012873e+33
 1.16023444e+32
 6.22133856e+31
 1.32135315e+33
 4.55740889e+49
 1.19298656e+111
 1.19762499e+64
 6.52277101e+33
 5.30550533e+31
 1.25776290e+35
 9.47791163e+33
 1.12526095e+31
 4.03981933e+28
 7.32558474e+29
 1.03823863e+35
 2.19458649e+48
 8.91975816e+68
 2.62734311e+78
 9.16303118e+43
 1.17779740e+30
 1.51980717e+32
 7.00517603e+29
 2.01967435e+26
 3.89538144e+24
 6.63131469e+25
 1.00736078e+27
 1.43370384e+39
 2.78017086e+69
 3.74682380e+46
 9.86567562e+27
 1.97625261e+26
 2.76258225e+26
 1.91810761e+25
 4.73756314e+26
 6.04888345e+28
 1.40689928e+27
 3.37487355e+26
 6.39834642e+43
 5.72533382e+99
 2.65055078e+62
 8.38057446e+30
 4.88035475e+23
 1.74266422e+25
 2.93422311e+29
 3.32764868e+27
 6.31414185e+24
 2.41732722e+24
 9.88303797e+24
 4.67530758e+41
 2.37023927e+105
 8.23544738e+62
 6.05289995e+32
 1.83496952e+26
 1.46381331e+24
 5.35265959e+24
 2.26053457e+26
 6.77629584e+24
 7.56599764e+24
 3.37578386e+24
 7.78429882e+38
 9.56963988e+78
 3.90456731e+48
 3.41154567e+28
 3.79389308e+23
 1.11163469e+23
 1.16605477e+24
 1.12094466e+29
 4.38997801e+26
 4.82325232e+24
 8.50762494e+27
 1.81145046e+49
 5.24145559e+119
 6.19452471e+61
 6.32233875e+31
 4.22742184e+26
 6.77792343e+24
 2.14907403e+44
 2.01461743e+188
 3.28809987e+56
 7.72554299e+45
 4.47071305e+86
 8.45011134e+47
 2.75953517e+49
 1.92477429e+128
 1.01886776e+136
 9.95479667e+106
 3.69364563e+71
 3.05068605e+60
 2.22961367e+64
 1.10455674e+85
 8.25358918e+82
 3.75154902e+56
 2.61266879e+68
 1.72718218e+99
 2.81555703e+127
 2.32811735e+90
 2.51486036e+55
 8.50289529e+42
 3.57974581e+33
 3.06884691e+57
 5.23113387e+58
 4.80370827e+25
 3.62025669e+20
 3.26689774e+38
 1.38456581e+49
 1.80564589e+23
 1.10428814e+20
 1.62087409e+38
 4.86840558e+45
 3.89284471e+44
 6.32404504e+124
 8.16021332e+192
 7.33412011e+66
 2.21752072e+49
 9.67234920e+120
 9.51957484e+151
 1.91681144e+157
 2.51903317e+163
 5.27376696e+53
 1.80168039e+56
 1.31438061e+190
 3.06736015e+78
 4.51970214e+39
 6.51040081e+58
 2.87718439e+173
 6.51429083e-06
 6.51980391e-06
 6.52050635e-06
 6.51647282e-06
 1.60377269e+106
 1.91491324e+282
 2.54680749e+166
 2.71738049e+212
 4.01063388e+97
 4.43763950e+65
 2.04026838e+64
 1.15193655e+44
 1.10076303e+57
 1.17900448e+146
 5.66490738e+111
 3.28128809e+85
 2.14624037e+158
 3.97593904e+69
 2.34149552e+57
 1.79002062e+76
 8.17360958e+62
 1.39009813e+57
 1.48212726e+93
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51409323e-06
 Inf
 1.45915074e+64
 4.20515280e+26
 2.21184648e+21
 9.16892526e+43
 2.41291008e+64
 1.68058451e+28
 1.49258594e+23
 1.34718016e+43
 1.41065626e+55
 1.05105857e+47
 7.95734906e+143
 Inf
 Inf
 1.05062291e+136
 6.69529188e+135
 2.62642337e+267
 7.21715615e+67
 1.24603475e+60
 4.98400859e+171
 1.12194101e+83
 4.62406127e+36
 7.26652130e+49
 1.72583104e+244
 Inf
 6.79452145e+155
 1.99973871e+105
 1.39152057e+90
 6.66137692e+78
 1.60483329e+94
 2.25383435e+87
 5.78378013e+80
 1.00005645e+72
 1.95737740e+72
 2.16508008e+95
 2.32815810e+78
 1.70899422e+64
 1.27920094e+79
 2.35225459e+109
 7.68979826e+90
 1.99455264e+77
 1.07701283e+75
 9.97866236e+71
 9.88918757e+63
 3.50348435e+69
 1.89452281e+98
 2.89295370e+79
 4.85435450e+65
 5.86487187e+74
 2.10980050e+84
 3.09997443e+118
 3.35693073e+80
 2.63402097e+76
 2.02766859e+148
 2.45678555e+202
 4.87721051e+211
 6.51353134e-06
 6.51459763e-06
 1.77795948e+173
 6.09507971e+125
 2.80745069e+128
 3.04994789e+194
 4.61082990e+222
 6.55845146e+242
 Inf
 7.31410378e+226
 7.01118331e+149
 4.91901931e+296
 Inf
 Inf
 Inf
 1.10172488e+201
 4.36138953e+236
 1.43927614e+256
 1.02095430e+226
 2.70333859e+226
 4.22548901e+220
 2.53949436e+240
 2.84001207e+181
 1.49270568e+194
 1.59313818e+269
 4.08113650e+299
 7.06189860e+221
 7.26576046e+193
 Inf
 9.02108585e+286
 1.05264178e+208
 1.09156247e+238
 Inf
 Inf
 Inf
 Inf
 1.12471499e+238
 3.85412603e+167
 3.53229713e+260
 Inf
 1.06246292e+268
 7.55086446e+205
 3.72271407e+213
 8.80884791e+210
 6.95852205e+266
 2.15358526e+242
 7.50234033e+215
 Inf
 Inf
 7.59890356e+215
 4.66122228e+289
 Inf
 4.18188401e+283
 2.78009047e+259
 1.14341908e+260
 Inf
 4.74569340e+289
 2.97395953e+204
 8.31705699e+192
 3.99475493e+285
 Inf
 6.51412095e-06
 6.51470378e-06
 6.51570841e-06
 6.51534825e-06
 6.51476672e-06
 6.51477439e-06
 6.51517892e-06
 6.51501201e-06
 6.51467930e-06
 6.51465630e-06
 6.51459688e-06
 6.51533151e-06
 6.51521161e-06
 6.51479046e-06
 6.51477283e-06
 6.51456086e-06
 6.51467908e-06
 6.51515889e-06
 6.51504848e-06
 6.51473638e-06
 6.51480283e-06
 6.51480565e-06
 6.51485233e-06
 6.51464905e-06
 6.51461942e-06
 6.51531386e-06
 6.51532969e-06
 6.51501042e-06
 6.51453841e-06
 6.51486779e-06
 6.51490437e-06
 6.51460643e-06
 6.51448403e-06
 6.51490500e-06
 6.51508419e-06
 6.51479737e-06
 Inf
 1.49688313e+187
 8.92860713e+252
 Inf
 4.49786971e+231
 1.83230920e+216
 1.60029086e+269
 1.13056527e+188
 5.29109797e+171
 1.70166596e+173
 3.23800945e+148
 5.70722452e+230
 3.10887540e+223
 1.31917182e+138
 4.38438282e+144
 5.18423155e+178
 3.21105219e+160
 5.64625449e+143
 1.29790148e+177
 2.09330863e+224
 1.79514955e+174
 5.02372959e+185
 2.74603326e+292
 Inf
 4.20533995e+255
 2.21399688e+250
 Inf
 1.10713321e+198
 1.90180095e+146
 1.22218828e+232
 Inf
 Inf
 2.77871617e+212
 3.75300260e+147
 7.68064085e+233
 6.34139374e+269
 Inf
 6.51410852e-06
 Inf
 4.71731135e+222
 Inf
 Inf
 Inf
 Inf
 6.51416903e-06
 6.51518647e-06
 6.51553832e-06
 6.51515285e-06
 6.51475926e-06
 6.51530419e-06
 6.51541098e-06
 6.51508804e-06
 6.51467277e-06
 Inf
 Inf
 Inf
 Inf
 6.51431985e-06
 6.51487002e-06
 6.51514268e-06
 6.51511978e-06
 Inf
 1.81526264e+222
 1.66698413e+220
 1.82206546e+179
 3.61864790e+158
 2.28045908e+241
 Inf
 1.88719399e+295
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.13625198e+246
 1.09782705e+238
 Inf
 6.51436648e-06
 6.51519050e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.01008973e+263
 Inf
 Inf
 Inf
 1.09489368e+200
 7.46875343e+166
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.48140355e+262
 3.59587766e+260
 Inf
 6.51414161e-06
 6.51464225e-06
 6.51450484e-06
 6.51456453e-06
 6.51475444e-06
 6.51481444e-06
 6.51440922e-06
 6.51468444e-06
 6.51489379e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.33537315e+177
 1.92987090e+275
 Inf
 Inf
 Inf
 Inf
 6.51444652e-06
 6.51445856e-06
 6.51447421e-06
 6.51475456e-06
 6.51491377e-06
 6.51484110e-06
 6.51470575e-06
 6.51463829e-06
 6.51441189e-06
 6.51457814e-06
 6.51465211e-06
 Inf
 6.51415627e-06
 6.51452958e-06
 Inf
 Inf
 6.51435837e-06
 6.51440412e-06
 6.51458336e-06
 6.51460053e-06
 6.51482326e-06
 6.51468433e-06
 Inf
 Inf
 6.51417163e-06
 6.51437960e-06
 Inf
 Inf
 6.51412551e-06
 6.51444129e-06
 6.51495328e-06
 6.51488127e-06
 Inf
 6.51435850e-06
 6.51486417e-06
 6.51503044e-06
 6.51440365e-06
 6.51466510e-06
 6.51456572e-06
 Inf
 Inf
 6.51416163e-06
 6.51448418e-06
 6.51463167e-06
 6.51458152e-06
 6.51457836e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51429946e-06
 6.51439856e-06
 Inf
 6.45287957e+269
 Inf
 Inf
 Inf
 2.54387171e+270
 Inf
 Inf
 Inf
 Inf
 6.51436739e-06
 Inf
 Inf
 Inf
 6.51444341e-06
 9.41832939e+282
 3.05908659e+253
 5.17187020e+279
 6.09679537e+168
 5.89576923e+203
 Inf
 Inf
 7.31975043e+163
 1.91289591e+138
 Inf
 6.51403154e-06
 Inf
 Inf
 Inf
 1.06951558e+268
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.03919971e+286
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51393094e-06
 6.51474552e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51438186e-06
 Inf
 6.51440207e-06
 6.51444048e-06
 Inf
 1.84296610e+235
 Inf
 Inf
 3.00864650e+209
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51429957e-06
 6.51454594e-06
 6.51467552e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51447813e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 5.29107386e+279
 Inf
 6.51419205e-06
 Inf
 Inf
 Inf
 6.51447084e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.84537292e+288
 Inf
 Inf
 2.75384685e+278
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.33947014e+241
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51430464e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.82027439e+259
 1.99882547e+192
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51430631e-06
 6.51470248e-06
 Inf
 Inf
 6.51434175e-06
 6.51461713e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51424719e-06
 6.51465975e-06
 Inf
 Inf
 Inf
 6.51418528e-06
 6.51469533e-06
 6.51457927e-06
 Inf
 Inf
 6.51416539e-06
 6.51468873e-06
 Inf
 Inf
 6.51419567e-06
 6.51481515e-06
 6.51485269e-06
 6.51472873e-06
 6.51478506e-06
 Inf
 Inf
 6.51419169e-06
 6.51472461e-06
 6.51495099e-06
 6.51479148e-06
 6.51464629e-06
 6.51461025e-06
 6.51442397e-06
 6.51456754e-06
 6.51455230e-06
 6.51453519e-06
 6.51499241e-06
 6.51506859e-06
 6.51485598e-06
 6.51474927e-06
 6.51478253e-06
 6.51447792e-06
 6.51457569e-06
 Inf
 6.51431466e-06
 6.51443088e-06
 6.51468979e-06
 6.51454520e-06
 6.51468226e-06
 6.51482255e-06
 6.51466528e-06
 6.51479239e-06
 Inf
 6.51434927e-06
 6.51487518e-06
 6.51494988e-06
 6.51459435e-06
 6.51452323e-06
 6.51469743e-06
 6.51460592e-06
 Inf
 Inf
 Inf
 Inf
 6.51434473e-06
 6.51466960e-06
 6.51473779e-06
 6.51479833e-06
 6.51475511e-06
 6.51480099e-06
 6.51489235e-06
 6.51472891e-06
 6.51453574e-06
 6.51466137e-06
 6.51457661e-06
 6.51446689e-06
 6.51460045e-06
 6.51474937e-06
 6.51447355e-06
 6.51451019e-06
 6.51486831e-06
 Inf
 6.51438234e-06
 6.51461755e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51428840e-06
 Inf
 Inf
 3.56732845e+254
 Inf
 Inf
 6.51438821e-06
 6.51452816e-06
 6.51449202e-06
 Inf
 Inf
 6.51435199e-06
 6.51462052e-06
 Inf
 Inf
 Inf
 6.51420434e-06
 6.51470134e-06
 Inf
 6.51449104e-06
 6.51451812e-06
 6.51445544e-06
 6.51458015e-06
 6.51527657e-06
 6.51536342e-06
 6.51504111e-06
 6.51490702e-06
 6.51492310e-06
 6.51468203e-06
 6.51470848e-06
 6.51797811e-06
 6.53032156e-06
 6.52755736e-06
 6.52206934e-06
 6.51741747e-06
 6.51598257e-06
 6.51602206e-06
 6.51575221e-06
 6.51523040e-06
 6.51488074e-06
 6.51486348e-06
 6.51514200e-06
 6.51509631e-06
 6.51470472e-06
 6.51457521e-06
 6.51451533e-06
 6.51440811e-06
 6.51473259e-06
 6.51466144e-06
 6.51467957e-06
 6.51470353e-06
 6.51462656e-06
 6.51474380e-06
 6.51487567e-06
 6.51482955e-06
 6.51453335e-06
 6.51462445e-06
 Inf
 Inf
 6.51425050e-06
 6.51477298e-06
 6.51476271e-06
 6.51461399e-06
 Inf
 Inf
 6.51424327e-06
 6.51509856e-06
 6.51539458e-06
 6.51518088e-06
 6.51471257e-06
 6.51435716e-06
 6.51475742e-06
 6.51474784e-06
 6.51449864e-06
 6.51478471e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51426322e-06
 6.51476797e-06
 6.51493212e-06
 Inf
 Inf
 6.51426557e-06
 6.51474498e-06
 6.51501023e-06
 6.51488966e-06
 6.51459015e-06
 6.51474231e-06
 6.51484495e-06
 6.51522715e-06
 6.51555566e-06
 6.51518288e-06
 6.51481165e-06
 6.51453343e-06
 6.51477869e-06
 6.51502908e-06
 6.51466200e-06
 6.51465695e-06
 6.51505245e-06
 6.51495850e-06
 6.51492882e-06
 6.51473753e-06
 6.51459716e-06
 Inf
 6.51445662e-06
 6.51742273e-06
 6.51672847e-06
 6.51553388e-06
 6.51504664e-06
 6.51499053e-06
 Inf
 6.51422644e-06
 6.51476782e-06
 6.51503676e-06
 6.50985924e-06
 6.51473320e-06
 6.51543857e-06
 6.51523479e-06
 6.51481060e-06
 6.51461267e-06
 6.51481255e-06
 Inf
 Inf
 Inf
 Inf
 6.51428632e-06
 6.51446890e-06
 6.51463606e-06
 6.51466583e-06
 6.51460840e-06
 Inf
 Inf
 6.51432456e-06
 6.51461322e-06
 6.51484199e-06
 6.51486712e-06
 6.51482374e-06
 6.51473078e-06
 6.51503458e-06
 6.51536217e-06
 6.51518770e-06
 6.51510314e-06
 6.51501870e-06
 6.51484629e-06
 6.51505726e-06
 6.51497459e-06
 6.51498048e-06
 6.51497481e-06
 6.51484014e-06
 6.51468872e-06
 6.51443290e-06
 6.51458195e-06
 6.51481096e-06
 Inf
 6.51414681e-06
 6.51462385e-06
 6.51451174e-06
 6.51455103e-06
 6.51496443e-06
 6.51454054e-06
 6.51446204e-06
 6.51478066e-06
 6.51444344e-06
 6.51457995e-06
 Inf
 6.51452016e-06
 6.51438964e-06
 6.51456810e-06
 6.51474641e-06
 6.51445132e-06
 6.51460705e-06
 Inf
 Inf
 6.51433334e-06
 6.51451441e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.83559821e+235
 1.75184599e+257
 Inf
 Inf
 Inf
 Inf
 Inf
 5.39727722e+160
 4.22146602e+137
 1.27436864e+144
 1.91337114e+157
 1.15266375e+191
 1.22481190e+196
 2.33839856e+119
 2.47233641e+86
 2.32857229e+81
 1.93167766e+94
 1.33565299e+118
 1.43781616e+99
 3.25324113e+90
 4.39368707e+121
 4.39749268e+125
 4.18932962e+137
 3.05089763e+130
 3.98452250e+99
 1.09156765e+143
 2.10280895e+176
 1.91729272e+175
 4.52503615e+207
 4.13768642e+150
 4.94423030e+142
 1.95547948e+282
 1.30805860e+261
 2.84551033e+181
 4.76681432e+191
 1.07456530e+156
 1.05395733e+128
 5.88731621e+97
 1.19273886e+103
 7.32315087e+118
 2.96633351e+05
 2.70684624e+06
 7.78662171e+193
 1.90024492e+139
 3.31334036e+121
 7.36398261e+118
 5.61456067e+120
 5.63559596e+111
 1.01461336e+118
 4.90326200e+142
 3.74126216e+143
 1.09492102e+101
 2.46179457e+86
 1.30002349e+85
 2.92191855e+77
 1.21417971e+62
 2.44132740e+72
 1.23750792e+144
 2.54622375e+196
 2.32923377e+198
 5.40086304e+170
 1.06486941e+129
 4.98872989e+79
 2.38560975e+68
 3.60525461e+87
 2.79486961e+85
 6.35777353e+104
 1.40401330e+124
 2.68200214e+83
 3.63165436e+87
 2.16475751e+93
 1.26246553e+93
 2.15568238e+114
 9.65557866e+110
 9.62698169e+81
 3.17796263e+69
 8.42804434e+79
 1.56155793e+98
 1.77098324e+85
 3.86524393e+84
 5.55602982e+126
 1.56806159e+126
 6.36469361e+86
 7.40787741e+69
 1.96996652e+63
 1.68061266e+71
 4.71964421e+67
 1.17535252e+103
 Inf
 6.51434903e-06
 6.51461300e-06
 6.51500249e-06
 Inf
 2.24647188e+158
 4.92707837e+122
 1.11476678e+83
 1.19553729e+77
 6.15541137e+82
 1.68232574e+125
 Inf
 Inf
 2.15070930e+176
 2.71285554e+134
 6.43172626e+133
 5.65566650e+96
 6.00925706e+69
 1.88227012e+71
 4.27072396e+77
 8.46143730e+74
 1.00251877e+81
 3.07086436e+83
 7.37116645e+86
 1.71166015e+83
 6.42060849e+90
 5.51277682e+103
 3.81781945e+96
 8.59144151e+103
 1.58896187e+111
 6.21012772e+106
 9.63366634e+87
 1.42464744e+99
 9.32362289e+93
 1.92769258e+80
 8.21770457e+84
 8.55135583e+103
 5.94980036e+121
 3.12590017e+101
 4.27299212e+98
 3.86371375e+109
 1.48856404e+103
 6.33291833e+86
 1.49723187e+95
 3.01083191e+82
 4.60528114e+57
 7.05876348e+51
 2.74375351e+54
 4.37270404e+52
 2.11851646e+46
 5.04987003e+46
 9.34741758e+54
 1.41876391e+67
 1.17859498e+65
 6.10655234e+61
 3.73351961e+59
 7.20546301e+53
 1.05553528e+51
 5.70729061e+45
 1.37520628e+57
 9.41893340e+87
 5.33709544e+115
 6.03671966e+151
 1.03051895e+147
 1.65974335e+172
 1.79850784e+235
 9.62854314e+295
 Inf
 Inf
 6.93834831e+217
 8.34415038e+157
 5.64125684e+123
 3.03053995e+82
 2.84059151e+103
 8.01446471e+104
 1.11995016e+80
 1.35953836e+71
 1.00364983e+69
 8.92116174e+64
 9.78825957e+58
 3.28456636e+48
 2.65623030e+40
 7.93357738e+38
 8.05670642e+37
 6.61782805e+36
 1.93880421e+37
 1.44442863e+36
 4.27562838e+40
 5.49105986e+40
 2.23707770e+36
 1.75533348e+39
 2.13053019e+39
 2.31873319e+38
 3.52473841e+35
 6.54591155e+38
 1.86940627e+48
 2.31634012e+51
 1.35996146e+48
 4.89775768e+49
 1.69004794e+48
 1.36050931e+47
 5.27303560e+38
 1.70910574e+32
 1.49631730e+40
 2.64424795e+50
 1.02790130e+57
 4.39378048e+62
 2.61887779e+62
 3.28295696e+66
 1.87750121e+61
 1.94372505e+56
 1.31008034e+62
 1.86338677e+60
 2.70608580e+57
 1.83575143e+54
 1.14128906e+60
 7.67793982e+55
 6.53076613e+50
 3.55373200e+60
 3.79084899e+55
 1.36308265e+48
 9.25519493e+44
 2.21859910e+46
 6.70217979e+47
 1.98117276e+50
 5.49744008e+53
 1.51865499e+44
 2.92343781e+44
 1.35694005e+47
 1.46171036e+39
 1.85451954e+35
 3.82344570e+36
 2.93057089e+30
 5.62008923e+25
 9.50858673e+31
 3.08856877e+34
 1.05328457e+33
 4.81424396e+40
 3.52529783e+44
 3.25650389e+48
 7.65009233e+53
 6.82662341e+63
 2.34014738e+67
 5.36787375e+56
 5.89644996e+53
 1.17320530e+50
 2.58188169e+45
 8.77358775e+47
 7.01780493e+51
 2.46459760e+52
 3.15447144e+51
 2.37005777e+50
 2.33800517e+53
 1.43913186e+59
 7.76384949e+59
 5.44396862e+47
 2.65330352e+41
 5.48268863e+40
 3.12100395e+43
 1.03069340e+42
 7.14979519e+43
 4.35117937e+49
 3.00902850e+47
 2.49703469e+43
 5.43116011e+44
 2.01265395e+45
 2.30863919e+44
 2.45591059e+46
 4.10770184e+54
 9.74951420e+44
 3.27113788e+39
 4.77881788e+48
 2.42575265e+44
 5.14387470e+45
 3.83530016e+54
 2.04254427e+52
 1.17222071e+50
 8.50552025e+46
 8.07917278e+45
 2.45816615e+49
 3.94936302e+53
 1.64668914e+58
 3.29005589e+60
 4.53494092e+53
 3.28729358e+49
 9.68111023e+59
 4.64552684e+64
 4.99306654e+52
 7.67188839e+53
 5.99875593e+59
 3.36478160e+47
 3.00944453e+41
 5.40263245e+36
 2.89673337e+28
 8.85401952e+34
 1.94442689e+47
 1.82820330e+45
 1.05063490e+49
 1.81938143e+43
 1.14988971e+41
 4.58249617e+47
 5.68435826e+48
 1.81908880e+43
 1.19845111e+41
 1.89320714e+43