Inf
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 6.51397711e-06
 6.51451264e-06
 Inf
 Inf
 6.51433287e-06
 6.51445169e-06
 6.51471617e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51435933e-06
 6.51446250e-06
 6.51467696e-06
 6.51447621e-06
 6.51455489e-06
 Inf
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 6.51408930e-06
 Inf
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 Inf
 Inf
 Inf
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 6.51419811e-06
 Inf
 Inf
 Inf
 Inf
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 6.51450631e-06
 6.51452139e-06
 6.51437960e-06
 6.51478661e-06
 Inf
 6.51441112e-06
 6.51513855e-06
 6.51511413e-06
 Inf
 4.11958040e+285
 Inf
 Inf
 1.31639564e+261
 3.80012046e+228
 7.66870528e+229
 1.60404369e+269
 1.61727338e+210
 Inf
 Inf
 Inf
 6.51408447e-06
 6.51444043e-06
 6.51488094e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51424388e-06
 6.51488941e-06
 Inf
 6.51428396e-06
 6.51490730e-06
 Inf
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 6.51417808e-06
 6.51480310e-06
 6.51471756e-06
 6.51470242e-06
 6.51511110e-06
 6.51487759e-06
 6.51458668e-06
 6.51461197e-06
 6.51457392e-06
 6.51496927e-06
 Inf
 6.51421480e-06
 Inf
 Inf
 Inf
 Inf
 6.51431452e-06
 6.51463871e-06
 Inf
 Inf
 Inf
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 6.51407060e-06
 Inf
 1.93404656e+284
 Inf
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 1.92874358e+295
 Inf
 Inf
 6.51415035e-06
 6.51463980e-06
 Inf
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 1.02760008e+271
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51394346e-06
 6.51587251e-06
 6.51603278e-06
 6.51576486e-06
 6.51664976e-06
 6.51728167e-06
 6.51612496e-06
 6.51533342e-06
 6.51632319e-06
 6.51741564e-06
 6.51665330e-06
 6.51750039e-06
 6.51888058e-06
 6.51815304e-06
 6.51761651e-06
 6.51755171e-06
 6.51807966e-06
 6.51827704e-06
 6.51606372e-06
 6.51511814e-06
 Inf
 Inf
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 6.51422771e-06
 6.51472635e-06
 Inf
 Inf
 Inf
 6.51430536e-06
 Inf
 Inf
 6.51429571e-06
 6.51473480e-06
 Inf
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 6.51431098e-06
 6.51472981e-06
 Inf
 Inf
 6.51433448e-06
 6.51447887e-06
 6.51481026e-06
 6.51482699e-06
 6.51453522e-06
 6.51466988e-06
 6.51467227e-06
 6.51450220e-06
 6.51455404e-06
 6.51477473e-06
 6.51474332e-06
 6.51453439e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
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 6.51427522e-06
 6.51457520e-06
 6.51469191e-06
 6.51455408e-06
 6.51443163e-06
 6.51506308e-06
 6.51529811e-06
 6.51508880e-06
 6.51489313e-06
 6.51479906e-06
 6.51470992e-06
 6.51476423e-06
 6.51490523e-06
 6.51480723e-06
 6.51460848e-06
 6.51490206e-06
 6.51499694e-06
 6.51504046e-06
 6.51493403e-06
 6.51488472e-06
 6.51499419e-06
 Inf
 6.51429336e-06
 6.51488315e-06
 6.51508693e-06
 Inf
 6.51422176e-06
 6.51576733e-06
 6.51721178e-06
 6.51581665e-06
 6.51493455e-06
 6.51479926e-06
 6.51485528e-06
 6.51456246e-06
 6.51456275e-06
 6.51511478e-06
 6.51494663e-06
 6.51481834e-06
 6.51175794e-06
 6.51448275e-06
 6.51499579e-06
 Inf
 6.51437541e-06
 6.51590446e-06
 6.51547361e-06
 6.51479024e-06
 6.51490598e-06
 6.51562667e-06
 6.51525193e-06
 6.51460355e-06
 6.51485469e-06
 6.51508657e-06
 Inf
 Inf
 6.51412586e-06
 6.51465692e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51439864e-06
 6.51452850e-06
 6.51455083e-06
 6.51474416e-06
 6.51451649e-06
 6.51518470e-06
 6.51524804e-06
 6.51450460e-06
 6.51481003e-06
 6.51519846e-06
 6.51467387e-06
 6.51453835e-06
 6.51516104e-06
 6.51512988e-06
 Inf
 6.51434281e-06
 6.51464882e-06
 6.51477019e-06
 6.51466050e-06
 6.51446311e-06
 6.51451506e-06
 6.51472920e-06
 6.51465478e-06
 6.51461310e-06
 6.51545069e-06
 6.49325509e-06
 6.51580733e-06
 6.51566942e-06
 6.51524373e-06
 Inf
 Inf
 6.51416839e-06
 6.51523891e-06
 6.51539208e-06
 6.51508990e-06
 6.51448443e-06
 6.51454994e-06
 Inf
 6.51435808e-06
 6.51442536e-06
 6.51485974e-06
 6.51489419e-06
 Inf
 6.51431322e-06
 6.51466102e-06
 6.51496933e-06
 Inf
 6.51429684e-06
 6.51459995e-06
 6.51480890e-06
 6.51474916e-06
 6.51457672e-06
 6.51445806e-06
 Inf
 Inf
 6.51414000e-06
 Inf
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 6.51433846e-06
 6.51485570e-06
 6.51474329e-06
 Inf
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 6.51428835e-06
 6.51452023e-06
 6.51466159e-06
 6.51474124e-06
 Inf
 Inf
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 6.51431352e-06
 6.51454324e-06
 6.51470454e-06
 Inf
 6.51427938e-06
 6.51485295e-06
 6.51504701e-06
 6.51466653e-06
 6.51443217e-06
 6.51469653e-06
 6.51497746e-06
 Inf
 6.51443426e-06
 6.51439288e-06
 6.51457403e-06
 6.51470883e-06
 6.51446844e-06
 6.51481930e-06
 6.51458357e-06
 6.51452537e-06
 6.51503337e-06
 6.51466484e-06
 6.51443478e-06
 6.51473693e-06
 6.51464019e-06
 6.51481976e-06
 6.51500284e-06
 6.51456649e-06
 6.51454881e-06
 6.51653980e-06
 6.51674718e-06
 6.51557335e-06
 6.51486624e-06
 6.51493115e-06
 6.51462221e-06
 6.51457406e-06
 Inf
 Inf
 Inf
 6.51424698e-06
 6.51448124e-06
 Inf
 Inf
 6.51437593e-06
 Inf
 Inf
 1.00569655e+260
 Inf
 6.51437512e-06
 6.51501746e-06
 Inf
 6.51432995e-06
 6.51482233e-06
 6.51479030e-06
 6.51461077e-06
 6.51485882e-06
 6.51573028e-06
 6.51540521e-06
 6.51482870e-06
 6.51493378e-06
 6.51495009e-06
 Inf
 Inf
 6.51431091e-06
 6.51477775e-06
 6.51468461e-06
 6.51457529e-06
 6.51481054e-06
 6.51525080e-06
 6.51569799e-06
 6.51602023e-06
 6.51590377e-06
 6.51554176e-06
 6.51518086e-06
 6.51505406e-06
 6.51515983e-06
 6.51502395e-06
 6.51474501e-06
 6.51478500e-06
 Inf
 Inf
 6.51440331e-06
 6.51530051e-06
 6.51545426e-06
 6.51513616e-06
 6.51483434e-06
 6.51459776e-06
 6.51465511e-06
 6.51488900e-06
 6.51513164e-06
 6.51510579e-06
 6.51495404e-06
 6.51468980e-06
 6.51469655e-06
 6.51481811e-06
 Inf
 Inf
 Inf
 Inf
 6.51446702e-06
 6.51448489e-06
 6.51448609e-06
 6.51466903e-06
 Inf
 Inf
 6.51404454e-06
 6.51498233e-06
 6.51509587e-06
 6.51485914e-06
 6.51544349e-06
 6.51579476e-06
 6.51535463e-06
 6.51493028e-06
 6.51476144e-06
 6.51558922e-06
 6.51533512e-06
 6.51459497e-06
 6.51455215e-06
 6.51507363e-06
 6.51602840e-06
 6.51586797e-06
 6.51549198e-06
 6.51517283e-06
 6.51482947e-06
 6.51498064e-06
 6.51536014e-06
 6.51506588e-06
 6.51470616e-06
 6.51489352e-06
 6.51530121e-06
 6.51540477e-06
 6.51510352e-06
 6.51474283e-06
 6.51477800e-06
 6.51473115e-06
 6.51465206e-06
 6.51481105e-06
 6.51483191e-06
 6.51483694e-06
 6.51487149e-06
 6.51448677e-06
 6.51450783e-06
 6.51472281e-06
 6.51467539e-06
 6.51494414e-06
 6.51498233e-06
 6.51519803e-06
 6.51552549e-06
 6.51516568e-06
 6.51464458e-06
 6.51484162e-06
 6.51538801e-06
 6.51531727e-06
 6.51499201e-06
 6.51456308e-06
 6.51450324e-06
 6.51467253e-06
 Inf
 Inf
 6.51444594e-06
 Inf
 Inf
 6.51421914e-06
 6.51696334e-06
 6.51587035e-06
 Inf
 6.51432566e-06
 6.51487843e-06
 6.51509200e-06
 Inf
 6.51428060e-06
 6.51464519e-06
 6.51511809e-06
 6.51478863e-06
 6.51519205e-06
 6.51574372e-06
 6.51574761e-06
 6.51597225e-06
 6.51658645e-06
 6.51632772e-06
 6.51561107e-06
 6.51537594e-06
 6.51630085e-06
 6.51729134e-06
 6.51627534e-06
 6.51567550e-06
 6.51579122e-06
 6.51606144e-06
 6.51629031e-06
 6.51564122e-06
 6.51509119e-06
 6.51514277e-06
 6.51557645e-06
 6.51590401e-06
 6.51623152e-06
 6.51594650e-06
 6.51533224e-06
 6.51492750e-06
 6.51461020e-06
 6.51486213e-06
 6.51613496e-06
 6.51685662e-06
 6.51716480e-06
 6.51635751e-06
 6.51541017e-06
 6.51490950e-06
 6.51509876e-06
 6.51537196e-06
 6.51550563e-06
 6.51592394e-06
 6.51589777e-06
 6.51537441e-06
 6.51507505e-06
 6.51502055e-06
 6.51479458e-06
 6.51472985e-06
 6.51480568e-06
 6.51439411e-06
 6.51515119e-06
 6.51527074e-06
 Inf
 6.51422900e-06
 6.51476021e-06
 6.51508531e-06
 6.51480311e-06
 6.51500705e-06
 6.51538856e-06
 6.51529922e-06
 6.51560122e-06
 6.51592499e-06
 6.51627467e-06
 6.51673046e-06
 6.51619383e-06
 6.51552162e-06
 6.51507986e-06
 6.51476439e-06
 6.51627888e-06
 6.51706300e-06
 6.51595304e-06
 6.51522112e-06
 6.51536188e-06
 6.51563325e-06
 6.51579083e-06
 6.51548937e-06
 6.51506896e-06
 6.51523392e-06
 6.51524141e-06
 Inf
 6.51443918e-06
 6.51542682e-06
 6.51535522e-06
 6.51495828e-06
 6.51485926e-06
 6.51521337e-06
 6.51518337e-06
 6.51497434e-06
 6.51435628e-06
 6.51474264e-06
 6.51491312e-06
 6.51501058e-06
 6.51515324e-06
 6.51510638e-06
 6.51497051e-06
 6.51496265e-06
 6.51534402e-06
 6.51519462e-06
 6.51484989e-06
 6.51464648e-06
 6.51472167e-06
 6.51528417e-06
 6.51519781e-06
 6.51472600e-06
 6.51456235e-06
 Inf
 Inf
 Inf
 6.51430439e-06
 6.51494491e-06
 6.51509826e-06
 Inf
 6.51431516e-06
 6.51493185e-06
 6.51534283e-06
 6.51513093e-06
 6.51475554e-06
 6.51488846e-06
 6.51884378e-06
 6.52220136e-06
 6.52048884e-06
 6.51908410e-06
 6.51916020e-06
 6.52303403e-06
 6.52303914e-06
 6.51906786e-06
 6.52003390e-06
 6.52804427e-06
 6.52468799e-06
 6.51943999e-06
 6.52034728e-06
 6.52003928e-06
 6.51772090e-06
 6.51840960e-06
 6.52061010e-06
 6.52046257e-06
 6.51889904e-06
 6.51788961e-06
 6.51959287e-06
 6.52052777e-06
 6.52031719e-06
 6.52059945e-06
 6.52073590e-06
 6.51898467e-06
 6.51740155e-06
 6.51911942e-06
 6.52056010e-06
 6.51782673e-06
 6.51655464e-06
 6.51647214e-06
 6.51640455e-06
 6.51598588e-06
 6.51544873e-06
 6.51537937e-06
 6.51696583e-06
 6.51751690e-06
 6.51589074e-06
 6.51518701e-06
 6.51645453e-06
 6.51640698e-06
 6.51556232e-06
 6.51587145e-06
 6.51654877e-06
 6.51564544e-06
 6.51492912e-06
 6.51469533e-06
 6.51470778e-06
 Inf
 6.51424471e-06
 6.51445491e-06
 6.51458617e-06
 6.51455484e-06
 6.51475872e-06
 6.51468845e-06
 6.51525339e-06
 6.51525984e-06
 6.51481370e-06
 6.51515562e-06
 6.51520157e-06
 6.51479220e-06
 6.51466389e-06
 6.51527049e-06
 6.51520624e-06
 6.51487487e-06
 6.51443338e-06
 6.51473202e-06
 6.51485025e-06
 6.51492513e-06
 6.51495095e-06
 6.51452205e-06
 6.51496926e-06
 6.52105739e-06
 6.53598277e-06
 6.53392795e-06
 6.52875112e-06
 6.52418387e-06
 6.51945541e-06
 6.51706032e-06
 6.51617107e-06
 6.51580629e-06
 6.51537377e-06
 6.51503184e-06
 6.51535744e-06
 6.51589818e-06
 6.51555820e-06
 6.51508464e-06
 6.51475965e-06
 6.51456062e-06
 6.51456495e-06
 6.51484644e-06
 6.51455439e-06
 6.51453015e-06
 6.51474190e-06
 Inf
 Inf
 6.51421074e-06
 6.51455714e-06
 Inf
 Inf
 Inf
 2.29534802e+234
 6.77242595e+131
 3.64161864e+237
 Inf
 3.92305359e+225
 9.03317077e+282
 Inf
 Inf
 Inf
 2.41672720e+201
 5.20666559e+235
 Inf
 Inf
 Inf
 Inf
 6.51427998e-06
 6.51540888e-06
 6.51534712e-06
 Inf
 6.51430050e-06
 6.51499877e-06
 6.51506153e-06
 6.51496982e-06
 Inf
 Inf
 6.51416892e-06
 6.51515208e-06
 6.51529091e-06
 6.51506077e-06
 6.51532566e-06
 6.51602489e-06
 6.51610704e-06
 6.51576092e-06
 6.51584023e-06
 6.51600023e-06
 6.51539289e-06
 6.51488473e-06
 6.51453049e-06
 6.51455140e-06
 6.51442635e-06
 6.51473856e-06
 6.51455468e-06
 6.51439099e-06
 6.51469751e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51443712e-06
 Inf
 6.51434280e-06
 Inf
 Inf
 6.51408031e-06
 6.51511716e-06
 Inf
 Inf
 6.69842855e+219
 3.32572261e+104
 5.04424868e+87
 5.22731949e+145
 8.49569445e+130
 6.14958819e+84
 7.63064185e+90
 2.51025812e+107
 9.72982842e+119
 9.35382506e+183
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.79608878e+212
 9.88617555e+259
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.14376299e+245
 2.88577592e+187
 1.88793248e+247
 Inf
 6.40016204e+248
 1.04888263e+208
 1.99394291e+282
 Inf
 Inf
 Inf
 6.51431667e-06
 Inf
 1.85181490e+235
 Inf
 1.72465236e+193
 7.21815007e+163
 Inf
 Inf
 Inf
 6.66260230e+242
 2.11626110e+224
 2.54094337e+240
 1.85861196e+295
 7.77586003e+295
 Inf
 Inf
 Inf
 6.49230354e+269
 3.59882313e+260
 1.88712010e+246
 Inf
 Inf
 2.02802889e+282
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.96453500e+244
 5.01439285e+256
 Inf
 Inf
 Inf
 2.01340020e+275
 1.08321475e+156
 5.85376083e+245
 Inf
 Inf
 Inf
 6.51428329e-06
 6.51446457e-06
 Inf
 Inf
 Inf
 6.51417118e-06
 6.51549336e-06
 6.51605299e-06
 6.51599384e-06
 6.51715424e-06
 6.51630550e-06
 6.51535708e-06
 6.51530585e-06
 6.51596893e-06
 6.51608873e-06
 6.51541031e-06
 6.51472108e-06
 6.51541963e-06
 6.51678059e-06
 6.51568601e-06
 6.51483092e-06
 6.51454514e-06
 Inf
 2.16369751e+230
 2.62616882e+219
 Inf
 Inf
 9.89116242e+288
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.08681927e+200
 1.19299287e+223
 Inf
 Inf
 Inf
 9.09134564e+213
 1.06159046e+128
 3.00194733e+141
 3.16374658e+238
 Inf
 Inf
 6.51425318e-06
 6.51460476e-06
 6.51464530e-06
 Inf
 6.51432226e-06
 6.51464717e-06
 6.51482722e-06
 6.51500642e-06
 Inf
 Inf
 6.51432444e-06
 6.51436971e-06
 6.51476576e-06
 Inf
 Inf
 6.51421368e-06
 6.51451518e-06
 Inf
 Inf
 6.51409884e-06
 6.51469121e-06
 Inf
 6.51434391e-06
 Inf
 1.07047907e+268
 Inf
 6.51428695e-06
 Inf
 Inf
 6.51391164e-06
 6.51487442e-06
 Inf
 Inf
 6.51437691e-06
 6.51460926e-06
 Inf
 6.51432730e-06
 6.51438751e-06
 6.51474086e-06
 Inf
 6.51430443e-06
 6.51456497e-06
 6.51475388e-06
 Inf
 6.51436728e-06
 6.51458240e-06
 6.51480867e-06
 6.51459512e-06
 6.51436564e-06
 6.51475131e-06
 Inf
 1.45331878e+298
 Inf
 Inf
 Inf
 6.51415062e-06
 Inf
 Inf
 4.77003385e+289
 1.05287346e+208
 1.63289715e+272
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51431367e-06
 Inf
 Inf
 Inf
 Inf
 2.02772631e+282
 Inf
 6.39212428e+277
 1.89431173e+286
 Inf
 6.51426714e-06
 Inf
 Inf
 6.51413990e-06
 Inf
 Inf
 Inf
 6.51421979e-06
 6.51474898e-06
 Inf
 Inf
 6.51434621e-06
 6.51475442e-06
 Inf
 Inf
 6.51398370e-06
 Inf
 Inf
 Inf
 9.87699733e+232
 Inf
 Inf
 6.51423322e-06
 Inf
 5.38857843e+172
 2.61194594e+297
 5.04123916e+200
 2.10321136e+224
 2.07496761e+164
 5.88591121e+246
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.30320887e+209
 2.94807464e+204
 3.47004384e+232
 2.70571718e+226
 Inf
 7.34584254e+250
 2.08131015e+211
 1.99527791e+282
 Inf
 Inf
 6.51448016e-06
 Inf
 3.15416597e+223
 2.99694151e+172
 1.50023354e+163
 6.08626384e+125
 3.48850476e+294
 Inf
 1.09635904e+221
 1.25513610e+265
 1.20346931e+223
 3.10563696e+223
 6.51358209e-06
 7.04133485e+249
 1.00692167e+142
 Inf
 Inf
 Inf
 6.51399765e-06
 6.51459157e-06
 6.51498814e-06
 Inf
 2.06874785e+243
 Inf
 Inf
 2.82368060e+292
 Inf
 6.33527848e+243
 2.42794343e+177
 3.46240557e+168
 7.13253431e+226
 Inf
 3.56070539e+254
 9.59004698e+238
 Inf
 1.05794509e+268
 1.61064936e+159
 6.66090868e+144
 2.55608701e+155
 6.62805228e+155
 Inf
 6.51397925e-06
 6.51446714e-06
 Inf
 1.73110667e+131
 5.76449250e+174
 8.01136373e+223
 7.16372278e+176
 3.38038975e+179
 1.94080646e+160
 1.01422743e+229
 1.07437356e+221
 6.79789184e+146
 6.79508058e+209
 Inf
 6.42432045e+234
 3.00054678e+172
 8.55916551e+284
 Inf
 Inf
 Inf
 Inf
 Inf
 7.89043767e+258
 4.19189859e+123
 4.05379990e+139
 Inf
 Inf
 Inf
 Inf
 Inf
 2.70894501e+203
 5.43043344e+196
 Inf
 1.91250481e+286
 4.97914321e+124
 2.01468016e+112
 2.00514922e+77
 1.82735894e+88
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 2.19739236e+108
 6.98558733e+159
 6.51324507e-06
 6.51473146e-06
 6.51467189e-06
 6.51444678e-06
 6.51463070e-06
 6.51481730e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 8.38462470e+275
 Inf
 Inf
 Inf
 Inf
 6.51421459e-06
 6.51470881e-06
 6.51496404e-06
 6.51467948e-06
 6.51461890e-06
 6.51478114e-06
 6.51466528e-06
 6.51460634e-06
 Inf
 Inf
 Inf
 Inf
 4.29038231e+287
 4.05694929e+285
 Inf
 6.51443269e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 4.10193320e+271
 1.64891563e+272
 5.55405035e+173
 2.88320743e+149
 4.65085519e+261
 Inf
 Inf
 Inf
 6.51425083e-06
 Inf
 Inf
 1.14708387e+274
 Inf
 Inf
 4.14775756e+268
 Inf
 Inf
 Inf
 Inf
 Inf
 1.15613300e+291
 1.95188536e+182
 2.06036216e+211
 Inf
 2.78765845e+259
 1.59980760e+147
 3.09401546e+136
 2.78846189e+181
 2.52061093e+240
 1.90695171e+134
 6.05377037e+125
 3.18029939e+174
 1.06159429e+199
 2.82711075e+239
 5.49962791e+202
 7.69325465e+258
 3.65061216e+158
 9.19285201e+124
 6.37125315e+150
 3.41213511e+135
 2.83738470e+140
 5.58181801e+169
 2.48580229e+270
 Inf
 Inf
 3.26944217e+169
 1.88840491e+109
 2.79369308e+128
 9.56784363e+191
 2.67496413e+267
 3.48427084e+276
 4.08497885e+299
 Inf
 2.95492437e+144
 5.58776804e+169
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.34826903e+185
 5.28865399e+171
 4.75772872e+191
 6.63390098e+167
 1.06006815e+199
 1.59994228e+159
 1.72850157e+102
 5.89615947e+138
 2.20883746e+280
 1.86897682e+295
 4.97995179e+199
 2.33239712e+145
 1.32570579e+195
 6.52647909e+242
 6.75581407e+141
 2.21985992e+133
 2.19113835e+158
 2.56358272e+155
 2.89721938e+137
 2.37329592e+131
 9.69437349e+185
 4.94544970e+183
 4.21637110e+118
 2.11368369e+86
 1.18746552e+103
 7.64237951e+117
 4.64702019e+96
 1.03310912e+95
 6.80052649e+95
 2.32896772e+153
 3.47004555e+175
 2.90193677e+103
 1.66141119e+114
 9.33587857e+152
 1.08059831e+115
 4.53207374e+84
 5.56556064e+111
 1.42234338e+187
 Inf
 Inf
 2.84099546e+156
 1.23330594e+97
 1.02795774e+124
 8.70738664e+138
 4.41005245e+108
 2.66464735e+122
 8.65418946e+103
 2.52203162e+100
 3.27787065e+121
 9.85828597e+113
 1.24513667e+125
 2.05539058e+129
 1.32581197e+86
 1.11484371e+94
 2.50781706e+185
 7.59519366e+240
 1.32359408e+119
 8.28197257e+125
 4.12312003e+220
 2.49194384e+202
 9.28891113e+133
 1.81269258e+86
 1.52963933e+69
 1.35350554e+71
 7.41678208e+83
 3.43811317e+78
 9.78548198e+70
 4.41263936e+66
 1.57674487e+67
 2.86339966e+74
 5.74757946e+88
 1.63463208e+87
 4.88853284e+77
 6.71852205e+75
 4.86761076e+77
 9.87027044e+78
 2.89362312e+80
 2.78712798e+85
 1.52956691e+81
 4.36266196e+73
 1.06075528e+104
 2.75133383e+116
 3.62343020e+89
 7.09688426e+97
 3.01386025e+130
 3.30710876e+121
 2.66299151e+87
 8.16727697e+107
 3.26770062e+142
 4.07538399e+138
 4.39186549e+111
 2.19687002e+97
 3.55906714e+103
 2.85675000e+137
 9.80043523e+173
 7.69071283e+123
 9.17183430e+140
 6.78241190e+209
 3.80314839e+153
 5.97920255e+87
 7.20051781e+81
 5.53398651e+120
 1.18921609e+131
 6.25967075e+50
 1.59545242e+47
 1.43293364e+97
 2.32036047e+125
 4.09193065e+126
 2.17670519e+110
 1.91679284e+124
 2.17556306e+110
 4.45180542e+103
 4.55363391e+110
 9.64520009e+110
 1.46624846e+129
 1.81548919e+169
 9.49460522e+172
 7.21892933e+97
 1.37371391e+73
 1.55039636e+89
 3.11199945e+93
 3.24749491e+90
 3.53414684e+110
 4.16954901e+137
 9.40325602e+152
 2.03135458e+128
 1.28419261e+82
 2.82357803e+63
 2.18194460e+72
 1.07097405e+91
 8.27039828e+82
 1.76192106e+85
 3.05078835e+91
 7.09931134e+67
 2.20841408e+62
 1.49627506e+85
 6.85689740e+103
 2.30064482e+103
 1.32527869e+132
 4.12994256e+123
 3.21198590e+95
 4.31108650e+112
 4.03968633e+139
 6.45525330e+104
 4.81501008e+83
 6.46651997e+79
 5.33223181e+82
 1.58941919e+68
 1.20988400e+62
 2.42038510e+86
 6.14154037e+91
 Inf
 6.51558224e-06
 6.51687483e-06
 6.51563909e-06
 Inf
 8.22613313e+251
 5.97122007e+203
 2.93314844e+144
 1.10899837e+188
 5.50546130e+127
 5.43616374e+86
 1.47467184e+97
 3.29324211e+179
 Inf
 6.16539648e+247
 1.90883001e+162
 1.02616234e+136
 4.13296258e+115
 5.03315282e+102
 1.15424125e+223
 5.86607721e+174
 9.98972515e+141
 2.62071341e+150
 5.97799379e+138
 2.65362306e+278
 Inf
 Inf
 Inf
 6.51419282e-06
 Inf
 2.73598531e+132
 5.95415915e+138
 3.76514683e+225
 4.63415363e+222
 3.10536508e+223
 5.97533634e+164
 1.84008649e+121
 1.26405387e+105
 7.23082554e+111
 1.81962779e+121
 4.77484634e+101
 8.17088254e+114
 5.83351402e+158
 5.14868088e+214
 1.29597920e+261
 Inf
 Inf
 Inf
 Inf
 3.59406202e+164
 1.41451701e+87
 4.88068878e+106
 3.78061443e+132
 2.78502023e+181
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 7.18413217e+221
 4.96283976e+122
 5.43192977e+128
 2.14773410e+250
 1.44198604e+256
 1.18460581e+160
 8.36158454e+239
 Inf
 1.06031608e+268
 9.70046800e+288
 1.60284446e+147
 4.08009566e+107
 3.67289555e+147
 9.41522482e+111
 1.85594224e+89
 3.04468239e+119
 3.76380415e+93
 8.84955453e+73
 3.84683594e+84
 2.64503434e+78
 4.04612269e+104
 4.85894445e+124
 8.73425546e+97
 6.10594986e+84
 6.86862918e+72
 5.04610525e+104
 9.07451192e+124
 1.34607272e+101
 8.97737870e+99
 1.55425278e+147
 3.37168662e+80
 4.01783533e+65
 5.49542111e+147
 2.60690912e+159
 2.16682586e+96
 1.95807966e+82
 8.52397849e+94
 1.53737242e+86
 2.09518757e+86
 1.12376376e+126
 4.37446136e+146
 1.51067494e+152
 2.20408863e+188
 4.27135401e+163
 9.45641449e+152
 6.23391565e+140
 6.42864287e+242
 Inf
 6.04868842e+245
 6.35266145e+269
 1.61293407e+269
 2.59815255e+196
 1.36485600e+148
 3.31891860e+121
 2.23378385e+123
 1.22661485e+97
 1.57403248e+78
 1.55425332e+89
 1.07458784e+122
 2.60634453e+150
 1.34224255e+132
 2.90390902e+165
 1.06178928e+221
 2.45351978e+154
 1.66944071e+101
 3.43475924e+113
 1.03793623e+175
 4.26231953e+163
 8.37153337e+116
 9.84644798e+113
 2.83573562e+23
 4.20530117e+19
 3.78223749e+56
 1.35675316e+78
 2.56422962e+77
 4.92245636e+79
 2.36475802e+115
 2.90430517e+79
 2.29628937e+90
 8.13446901e+114
 1.59417400e+111
 1.78088315e+118
 5.58459301e+108
 6.65380010e+161
 1.13733501e+197
 2.98646152e+171
 1.97463821e+192
 1.44720182e+225
 6.72212590e+249
 1.40245744e+228
 1.50319479e+194
 5.15822429e+227
 Inf
 Inf
 1.88220882e+115
 4.09912318e+119
 8.59300523e+263
 5.39354487e+181
 1.59796168e+210
 2.63729108e+297
 Inf
 6.51405053e-06
 Inf
 1.51630593e+181
 7.12090985e+176
 3.70261215e+213
 1.68972406e+171
 3.15794137e+120
 Inf
 Inf
 6.15073643e+246
 3.57212380e+184
 1.69287429e+150
 4.82143802e+211
 2.58165952e+196
 2.44657656e+154
 3.05353352e+123
 1.87469990e+134
 2.89770957e+204
 1.90028477e+162
 4.49694678e+141
 9.42293371e+183
 1.18930897e+223
 1.07004083e+199
 2.82571363e+181
 3.67486012e+182
 1.58745080e+147
 3.22238016e+148
 1.14573019e+126
 2.40485237e+115
 8.87258878e+137
 4.28698836e+130
 7.04108145e+159
 2.11146798e+176
 2.86650729e+127
 5.94875843e+94
 2.18671600e+95
 1.55192919e+126
 1.81372383e+169
 1.49338394e+236
 Inf
 1.43567716e+190
 7.94103906e+106
 5.95594498e+121
 Inf
 Inf
 1.19036133e+176
 4.37356202e+92
 1.29316992e+120
 3.77017570e+167
 1.71176508e+110
 2.52650232e+100
 7.28943420e+142
 3.71388376e+228
 4.50903757e+149
 1.90647323e+175
 Inf
 Inf
 2.40912470e+263
 Inf
 Inf
 Inf
 6.51400440e-06
 6.51463288e-06
 Inf
 8.15624681e+223
 Inf
 Inf
 2.86659134e+156
 1.49665730e+153
 Inf
 6.51399050e-06
 6.51478266e-06
 6.51491698e-06
 Inf
 6.51432344e-06
 Inf
 Inf
 6.51411230e-06
 Inf
 7.21445719e+135
 4.20558597e+120
 3.56953325e+158
 1.69290742e+193
 1.60580189e+155
 3.47793593e+108
 3.70405750e+143
 Inf
 2.55646831e+270
 2.40679344e+153
 1.19418033e+149
 1.30515576e+204
 6.51453363e+212
 3.62638422e+103
 7.31607350e+99
 1.32478208e+158
 2.96606900e+171
 3.53473138e+184
 7.43589045e+215
 5.36692601e+181
 1.37587516e+141
 2.91125674e+165
 1.72645877e+156
 4.24701241e+163
 1.16205723e+279
 5.90678002e+80
 2.63207803e+87
 1.87149372e+157
 3.22785765e+107
 5.05746888e+89
 2.60567550e+60
 2.49763959e+80
 1.56806112e+84
 1.06111041e+78
 1.21583334e+75
 1.84828707e+66
 5.06345728e+78
 5.40564942e+81
 8.19155292e+68
 1.35332130e+71
 2.73952796e+128
 5.32097875e+170
 3.76126300e+143
 1.85870469e+88
 5.44738931e+88
 1.21162346e+146
 9.46983841e+112
 3.85479477e+101
 1.56619967e+88
 2.32964748e+94
 5.75673253e+117
 3.10920484e+81
 8.19082273e+68
 2.07883019e+69
 1.24187725e+76
 9.44011609e+88
 2.67273159e+70
 5.68820449e+58
 4.06207868e+70
 5.51347193e+83
 9.71454708e+79
 6.65785413e+68
 1.74235563e+67
 1.31246964e+88
 2.30438220e+90
 6.43814893e+90
 1.31582436e+108
 4.63592695e+96
 1.58847288e+116
 1.21900942e+113
 4.64178400e+96
 4.43298990e+103
 6.47586368e+93
 1.98574472e+75
 1.16092651e+84
 1.42102309e+166
 6.92923003e+221
 1.09101011e+150
 1.30632201e+138
 8.85453013e+162
 5.92292287e+164
 3.35015285e+117
 7.85174206e+106
 1.26229603e+144
 1.01639931e+121
 7.21914519e+71
 1.06521506e+67
 8.58427206e+83
 6.43203547e+93
 3.57398957e+83
 1.56900704e+72
 1.23301474e+92
 1.15973071e+81
 3.81327703e+80
 5.36688251e+86
 6.47358556e+79
 9.26619197e+76
 9.05098193e+63
 7.76036254e+65
 1.35126309e+71
 3.54178030e+83
 1.93479346e+73
 1.29795767e+67
 4.34869709e+80
 2.64289173e+68
 6.15487305e+64
 2.30782114e+76
 5.85489976e+94
 2.85703973e+98
 4.90469083e+77
 3.89456340e+64
 1.39092034e+70
 1.78246447e+74
 4.06734492e+81
 4.55207429e+90
 3.30170848e+79
 5.63985424e+79
 2.87937294e+74
 1.67815974e+66
 1.28908304e+68
 3.06306979e+105
 4.42013416e+121
 8.87781247e+92
 5.95829206e+89
 7.15007162e+82
 1.29046319e+79
 7.17716098e+81
 1.25217038e+72
 6.93963202e+60
 6.86678538e+52
 1.15469649e+55
 2.01218976e+62
 1.07780511e+64
 3.26364455e+79
 3.99391484e+82
 2.58343185e+63
 7.63127511e+72
 2.50365940e+92
 1.68051427e+80
 5.76887507e+80
 1.56218159e+98
 9.22044463e+115
 2.19918892e+97
 5.79903970e+88
 6.81882802e+88
 2.18119977e+97
 9.31834650e+93
 8.81350689e+92
 2.85521781e+98
 1.79404328e+78
 1.28821830e+79
 5.36347920e+86
 1.35925536e+77
 2.62807036e+71
 1.07429042e+75
 8.63756556e+67
 4.37053150e+103
 9.52038490e+158
 4.49132297e+136
 Inf
 Inf
 7.62083735e+205
 Inf
 Inf
 6.51431878e-06
 6.51463612e-06
 6.51466126e-06
 6.51472452e-06
 6.51465707e-06
 Inf
 Inf
 4.87871223e+261
 5.53999829e+127
 3.01985940e+173
 7.87959019e+180
 1.35480722e+158
 6.14768604e+137
 1.07664608e+150
 4.41219582e+177
 1.51691406e+178
 1.15932203e+176
 1.83141750e+184
 1.89840862e+146
 1.59022547e+113
 2.48826548e+105
 9.32380638e+111
 1.26472260e+144
 4.91492630e+122
 6.51640582e+107
 1.27794055e+114
 6.29115315e+116
 2.12159281e+136
 1.65936265e+90
 2.33145214e+94
 7.34077541e+91
 1.08105456e+101
 3.54838345e+110
 2.31991056e+90
 9.05122358e+140
 5.89449840e+110
 3.27531686e+104
 2.57983717e+267
 4.65706871e+222
 1.68055804e+101
 1.99015346e+83
 4.11804844e+75
 2.87048978e+79
 1.15927228e+99
 2.53019426e+79
 3.76874240e+77
 3.91651095e+161
 7.61484353e+258
 9.34881960e+140
 6.64753359e+122
 1.35957419e+141
 6.69142228e+131
 1.98188488e+137
 3.94206167e+127
 1.11013746e+100
 5.87134455e+101
 2.04003152e+129
 1.07420613e+150
 1.67977346e+114
 3.92230043e+105
 2.85397154e+129
 1.01931169e+118
 3.35477416e+84
 2.63495555e+71
 2.30769260e+78
 3.85326456e+106
 3.14989320e+160
 4.85813689e+114
 4.92739460e+105
 9.72427013e+119
 2.67366748e+122
 5.63788897e+111
 4.05110062e+102
 3.59422036e+122
 4.19271041e+120
 4.60493830e+90
 1.81465987e+91
 1.65490810e+173
 9.70724823e+178
 1.27561967e+105
 5.96257183e+99
 4.95917434e+79
 2.55599394e+74
 2.55748546e+89
 4.56599162e+90
 1.84477082e+89
 1.56291718e+70
 1.31925722e+62
 3.34801395e+63
 2.30171719e+69
 9.51117154e+74
 7.59151906e+75
 2.84970133e+84
 3.46465919e+82
 2.78950555e+85
 2.46213343e+84
 1.28023130e+91
 3.33184189e+84
 5.95526946e+75
 6.18202093e+114
 3.07337606e+119
 3.12474054e+87
 1.28448147e+98
 1.25753931e+144
 1.06535625e+156
 2.38815063e+152
 2.50595717e+166
 1.17179979e+160
 2.79475630e+138
 1.02125025e+118
 3.03560121e+130
 2.21407088e+133
 2.05653693e+127
 1.54499598e+130
 1.04437165e+175
 8.88614508e+213
 6.35891443e+179
 2.83986143e+190
 Inf
 5.57872073e+173
 5.09996781e+87
 1.56694651e+98
 3.11931964e+118
 9.91752709e+106
 1.26757178e+93
 1.24420187e+92
 2.37920308e+115
 1.40885193e+124
 5.86892880e+244
 Inf
 6.82054420e+131
 6.42832697e+133
 3.86083812e+151
 5.00400935e+79
 2.01584431e+48
 2.13696684e+09
 2.97240887e+08
 4.56398153e+33
 2.02248406e+35
 4.05655968e+30
 1.31826830e+30
 1.93072526e+29
 1.14931979e+31
 5.70064724e+35
 1.88395739e+36
 1.46482121e+37
 7.93694056e+44
 2.66033335e+44
 1.60446426e+36
 5.38096358e+36
 8.38715561e+34
 5.86481792e+41
 2.44993334e+49
 5.97206007e+43
 3.94983679e+37
 2.35579877e+34
 4.85971111e+35
 6.14169832e+42
 5.39974355e+45
 8.98629763e+34
 1.18732109e+37
 2.73344328e+49
 3.44049192e+43
 8.38089853e+37
 9.82870252e+41
 1.15384139e+43
 4.53424112e+42
 1.97094500e+42
 8.46616448e+45
 2.80100519e+42
 1.72953130e+42
 2.90877229e+49
 1.19008930e+57
 5.14405520e+50
 1.48627601e+57
 3.38557328e+62
 6.44486754e+52
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 1.28338846e+57
 4.13662236e+54
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 5.12703175e+47
 1.30944244e+52
 5.68915448e+62
 2.40991296e+61
 3.84773015e+58
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 8.83056877e+47
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 1.51391002e+48
 4.49928656e+44
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 2.40456998e+37
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 4.65767523e+52
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 9.43695337e+46
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 2.24722044e+65
 3.35350298e+63
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 3.50899658e+81
 2.58788708e+93
 2.63844969e+95
 6.44921618e+90
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 5.11469409e+92
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 1.56565039e+65
 1.53519967e+58
 3.25916176e+53
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 6.01931057e+48
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 7.27109565e+44
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 1.90701568e+46
 2.17719034e+43
 2.67620717e+42
 3.15354166e+52
 6.28486476e+53
 9.08443065e+43
 1.28141717e+48
 5.37800173e+48
 1.31954094e+49
 1.81674133e+59
 5.78184896e+55
 3.37059353e+54
 1.58526047e+53
 2.62788162e+52
 2.56510838e+54
 7.81297104e+50
 1.59850097e+54
 1.39194842e+53
 6.55759415e+49
 5.63033424e+52
 4.04917648e+55
 2.39214952e+62
 1.69744252e+64
 4.38319785e+59
 6.16660610e+57
 1.54167106e+70
 2.66103434e+81
 5.23704508e+67
 1.74918079e+68
 1.46243433e+61
 1.07044724e+65
 8.81891684e+53
 6.23976940e+46
 3.58810944e+65
 1.42753918e+67
 2.89934285e+77
 3.53770749e+81
 2.28966361e+83
 5.10187865e+70
 1.03129537e+52
 1.02193942e+45
 7.13578894e+39
 5.16409498e+42
 2.17782157e+47
 2.86239811e+43
 1.14194509e+34
 3.01271176e+36
 1.64305276e+45
 2.50337206e+50
 3.59564605e+54
 8.53285811e+45
 1.82435066e+44
 2.45506482e+49
 1.51248527e+47
 4.79778190e+46
 8.72523616e+54
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 5.07441365e+54
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 3.38434173e+44
 3.45892237e+45
 5.75563758e+50
 3.05404476e+55
 1.07507721e+53
 3.85530594e+54
 6.50178307e+59
 1.83501337e+66
 6.68196970e+55
 1.09669172e+48
 1.59531171e+54
 4.35920993e+59
 1.60895020e+57
 3.16287170e+51
 1.05400900e+51
 1.66434143e+50
 5.99647542e+45
 7.25877992e+44
 8.02867542e+39
 2.71032125e+46
 6.20621189e+70
 2.52086062e+53
 6.94936449e+49
 2.71064121e+65
 3.63107468e+52
 3.02787124e+73
 2.59155304e+111
 7.51886074e+83
 4.24377231e+89
 2.13843138e+130
 1.17442036e+157
 3.27648452e+264
 5.08268109e+185
 4.97282099e+142
 6.21255110e+248
 8.36863315e+157
 3.14312139e+87
 1.91181802e+98
 7.03390399e+163
 2.06889761e+111
 3.26373756e+90
 4.25703013e+98
 9.79012367e+113
 8.79872433e+91
 5.58386677e+111
 9.32721721e+152
 5.98096427e+138
 1.89690924e+132
 5.08330922e+89
 8.20926020e+95
 1.63813130e+171
 7.13726853e+226
 1.38306961e+137
 1.35719425e+94
 1.39630135e+87
 2.65112461e+97
 6.80601777e+95
 2.61979548e+102
 2.65887922e+122
 7.68655105e+117
 8.95295002e+122
 4.71346261e+131
 3.30798909e+121
 3.63127279e+92
 3.64360247e+87
 2.32906970e+94
 4.44917149e+113
 4.41461428e+149
 2.79877071e+181
 1.30851314e+177
 8.52178043e+143
 4.66953032e+96
 1.37660608e+102
 1.33499775e+148
 2.89183024e+98
 1.76718665e+96
 4.02971472e+107
 3.37319655e+135
 6.26008843e+262
 3.05240716e+253
 Inf
 6.51417514e-06
 6.85034215e+204
 8.55211766e+143
 Inf
 Inf
 7.35288977e+193
 1.69501152e+150
 2.10674317e+176
 7.01020727e+182
 7.94481298e+129
 2.59470375e+159
 6.32983226e+175
 7.61081246e+120
 2.18200066e+188
 Inf
 Inf
 Inf
 5.45216978e+145
 5.48968932e+90
 5.34380307e+115
 7.90322476e+134
 2.06498285e+100
 8.83118863e+92
 5.09552440e+104
 8.24952835e+95
 5.28434169e+75
 3.33874237e+86
 2.02910521e+111
 4.15965579e+118
 4.93227180e+105
 2.77300781e+110
 1.23890385e+111
 1.72937459e+119
 2.78354919e+110
 1.77326960e+96
 3.08700943e+83
 7.75728018e+98
 6.94157264e+176
 1.08461130e+238
 3.84672736e+225
 1.94045884e+182
 4.01152789e+271
 Inf
 2.40738784e+135
 1.37356485e+77
 1.60351696e+94
 1.54535601e+210
 4.43529163e+144
 7.01894611e+87
 2.29500329e+83
 4.29139620e+92
 2.59912118e+93
 2.89213272e+74
 4.76673949e+59
 7.88584914e+66
 1.91171226e+106
 3.96228595e+99
 4.93029770e+73
 5.52213800e+83
 3.79086236e+96
 2.21137798e+79
 1.57160552e+62
 1.83750864e+66
 4.43794497e+78
 2.52085764e+75
 1.98340083e+77
 2.19683381e+79
 1.11816795e+72
 2.26220723e+74
 6.81897534e+103
 3.06271681e+119
 7.07548687e+115
 1.85475038e+103
 3.81930306e+85
 3.88320804e+72
 3.62771186e+75
 1.55229978e+89
 9.29204621e+93
 4.65166727e+95
 8.56780703e+94
 2.34007909e+98
 5.86796782e+101
 8.21232858e+107
 6.64845181e+146
 1.34131771e+132
 2.18072846e+114
 1.46921257e+142
 2.54332815e+100
 1.82277144e+76
 9.23980882e+93
 7.51372607e+113
 2.09822388e+104
 6.82012696e+95
 5.79637425e+88
 6.59375873e+124
 1.89250795e+175
 1.52432360e+95
 2.66415398e+83
 1.00322462e+118
 2.76733323e+178
 2.66236162e+203
 7.45857567e+118
 9.04800391e+108
 3.67899577e+186
 1.24557180e+146
 4.91168733e+124
 2.12657624e+136
 1.34902319e+101
 1.35512581e+100
 1.27464661e+114
 1.49034576e+103
 4.51960592e+84
 6.66811199e+68
 3.29892671e+77
 7.97990031e+109
 2.61934408e+104
 1.39120219e+90
 2.85014713e+103
 3.71329621e+152
 2.03121924e+128
 2.59924522e+89
 8.24592907e+84
 1.46228436e+127
 3.32742771e+117
 1.07859302e+104
 5.56220540e+108
 1.20396562e+112
 9.92979524e+150
 2.20341433e+188
 Inf
 Inf
 2.00140594e+106
 4.80081325e+44
 9.03758696e+12
 1.19834199e+12
 3.59077174e+33
 2.64040248e+12
 1.30330867e+13
 2.82593775e+32
 6.51794024e+29
 3.91818763e+59
 Inf
 6.51396454e-06
 6.51456292e-06
 6.51445720e-06
 6.51449727e-06
 Inf
 6.51429961e-06
 6.51459005e-06
 Inf
 6.51439128e-06
 Inf
 Inf
 6.51431371e-06
 Inf
 Inf
 Inf
 Inf
 4.19430563e+150
 7.40373581e+166
 4.04976119e+283
 3.08937378e+170
 6.02752517e+139
 7.51542295e+229
 Inf
 Inf
 Inf
 Inf
 6.51411306e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51427608e-06
 6.51466262e-06
 6.51483466e-06
 6.51462023e-06
 6.51445789e-06
 6.51470329e-06
 6.50556649e-06
 Inf
 4.89683685e+261
 5.51234858e+202
 2.67404496e+203
 1.19369941e+223
 1.27472675e+237
 6.04478890e+244
 2.59470428e+183
 2.20491786e+234
 Inf
 8.76110578e+284
 Inf
 1.08494874e+221
 2.92195363e+137
 1.67784045e+150
 1.70691782e+262
 1.08222023e+156
 4.08634435e+138
 Inf
 Inf
 3.48094428e+135
 5.95881421e+138
 Inf
 Inf
 1.32901993e+177
 8.19738206e+177
 4.51972423e+156
 1.19873297e+131
 8.23726401e+114
 9.65693735e+110
 1.48912583e+103
 3.81939771e+100
 1.11300435e+102
 2.60694921e+93
 4.06765598e+119
 4.48809127e+133
 3.29408426e+142
 1.14334042e+135
 1.48777683e+163
 5.64892194e+143
 5.66256686e+111
 4.35019590e+144
 2.36520663e+208
 6.51366747e-06
 6.51451911e-06
 6.51584585e-06
 6.51716088e-06
 6.51668863e-06
 6.51561441e-06
 6.51501001e-06
 6.51486000e-06
 6.51486998e-06
 6.51463246e-06
 6.51526646e-06
 6.51625782e-06
 6.51692525e-06
 6.51673641e-06
 6.51562328e-06
 6.51534009e-06
 6.51580767e-06
 6.51558389e-06
 6.51582348e-06
 6.51623016e-06
 6.51588720e-06
 6.51532521e-06
 6.51516896e-06
 6.51562408e-06
 6.51559784e-06
 6.51562057e-06
 6.51597213e-06
 6.51608006e-06
 6.51585875e-06
 6.51529991e-06
 6.51479304e-06
 6.51503354e-06
 6.51518470e-06
 6.51487213e-06
 6.51487794e-06
 6.51513142e-06
 6.51506839e-06
 6.51491381e-06
 6.51487080e-06
 6.51497607e-06
 Inf
 Inf
 6.51433214e-06
 6.51447123e-06
 6.51477901e-06
 6.51453530e-06
 6.51466914e-06
 6.51479475e-06
 6.51476262e-06
 6.51501426e-06
 6.51555413e-06
 6.51597586e-06
 6.51592197e-06
 6.51568155e-06
 6.51530487e-06
 6.51509078e-06
 6.52069355e-06
 6.52130097e-06
 6.51673293e-06
 6.51524403e-06
 6.51502096e-06
 6.51497353e-06
 6.51616603e-06
 6.51650155e-06
 6.51566992e-06
 Inf
 5.45141175e+181
 1.72125253e+165
 3.81591706e+167
 3.05089287e+173
 1.78207772e+174
 Inf
 6.51456261e-06
 6.51617611e-06
 6.51672012e-06
 6.51579366e-06
 6.51509038e-06
 6.51469112e-06
 6.51548819e-06
 6.51549570e-06
 6.51520967e-06
 6.51523549e-06
 6.51557202e-06
 6.51558181e-06
 6.51521966e-06
 6.51553070e-06
 6.51612139e-06
 6.51557226e-06
 6.51541641e-06
 6.51582374e-06
 Inf
 6.11590862e+164
 Inf
 6.51435546e-06
 6.51513169e-06
 6.51449970e-06
 6.51495298e-06
 6.51550737e-06
 6.51511125e-06
 6.51473919e-06
 6.51492299e-06
 6.51491676e-06
 6.51517903e-06
 6.51537069e-06
 6.51544922e-06
 6.51560742e-06
 6.51556564e-06
 6.51527493e-06
 6.51522603e-06
 6.51524486e-06
 6.51501288e-06
 6.51459379e-06
 6.51512260e-06
 6.51591462e-06
 6.51566321e-06
 6.51520036e-06
 6.51504792e-06
 6.51534032e-06
 6.51556969e-06
 6.51522775e-06
 6.51475465e-06
 6.51487021e-06
 6.51489291e-06
 6.51449960e-06
 6.51494412e-06
 6.51520257e-06
 6.51523630e-06
 6.51567155e-06
 6.51622176e-06
 6.51597339e-06
 6.51556860e-06
 6.51607036e-06
 6.51750465e-06
 6.51765025e-06
 6.51735527e-06
 6.51616146e-06
 6.51604687e-06
 6.51662672e-06
 6.51597970e-06
 6.51555874e-06
 6.51592129e-06
 6.51578923e-06
 6.51538747e-06
 6.51641770e-06
 6.51676028e-06
 6.51588445e-06
 6.51560471e-06
 6.51552593e-06
 6.51541026e-06
 6.51520329e-06
 6.51490400e-06
 6.51485011e-06
 6.51510173e-06
 6.51489427e-06
 6.51490113e-06
 6.51506556e-06
 6.51511117e-06
 6.51523800e-06
 6.51523110e-06
 6.51551305e-06
 6.51568779e-06
 6.51527638e-06
 6.51518447e-06
 6.51652445e-06
 6.51659111e-06
 6.51553941e-06
 6.51484408e-06
 6.51503975e-06
 6.51608105e-06
 6.51555597e-06
 6.51550090e-06
 6.51771212e-06
 6.51695183e-06
 6.51584559e-06
 6.51563544e-06
 6.51561142e-06
 6.51578924e-06
 6.51616263e-06
 6.51572322e-06
 6.51531982e-06
 6.51534373e-06
 6.51550740e-06
 6.51571290e-06
 6.51617545e-06
 6.51660465e-06
 6.51623306e-06
 6.51581374e-06
 6.51558034e-06
 6.51531961e-06
 6.51949973e-06
 6.52075889e-06
 6.51658468e-06
 6.51508326e-06
 6.51503630e-06
 6.51454230e-06
 6.51442414e-06
 6.51465800e-06
 6.51475368e-06
 6.51482979e-06
 6.51445691e-06
 Inf
 Inf
 6.51407622e-06
 6.51481528e-06
 Inf
 6.51434308e-06
 6.51483371e-06
 6.51554605e-06
 6.51567148e-06
 6.51584705e-06
 6.51679662e-06
 6.51658574e-06
 6.51610441e-06
 6.51645447e-06
 6.51642997e-06
 6.51620509e-06
 6.51626078e-06
 6.51685938e-06
 6.51591367e-06
 Inf
 Inf
 Inf
 Inf
 6.05422564e+246
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.27344286e+287
 Inf
 6.51422657e-06
 6.51448705e-06
 6.51466004e-06
 Inf
 Inf
 2.31794121e+199
 8.78911340e+210
 6.38460133e+175
 Inf
 Inf
 1.01846185e+174
 4.97794551e+105
 1.55827687e+126
 1.34916278e+118
 8.29748893e+116
 7.07061570e+115
 1.26644088e+144
 1.35290132e+148
 1.84913718e+149
 3.02362122e+215
 5.68019432e+187
 3.67770265e+116
 5.65832143e+95
 2.64074518e+113
 7.64490008e+132
 2.81232618e+128
 1.54041536e+91
 8.80534512e+92
 1.46554322e+153
 6.32079975e+175
 5.17004194e+214
 5.52453692e+224
 1.43666140e+256
 6.29175434e+154
 2.02613598e+112
 2.86606888e+137
 2.08281601e+148
 2.84549140e+140
 1.36654716e+137
 9.90898448e+154
 1.69576642e+173
 6.94116648e+221
 4.22285748e+220
 4.06872585e+192
 6.29191415e+269
 Inf
 6.51414170e-06
 Inf
 2.61083397e+270
 9.80959857e+191
 5.11425478e+279
 Inf
 7.48966582e+186
 1.67301110e+172
 3.80269182e+225
 9.76513536e+191
 8.81888451e+138
 1.89985537e+186
 3.88560425e+176
 2.19620430e+114
 1.20587701e+112
 8.03969000e+121
 3.88998078e+109
 7.55501772e+113
 6.51297940e-06
 6.52392495e-06
 6.52839604e-06
 6.53064229e-06
 6.52814076e-06
 6.52437763e-06
 6.52033719e-06
 6.51664840e-06
 6.51524711e-06
 6.51485327e-06
 Inf
 Inf
 1.29470249e+265
 2.69101801e+252
 Inf
 Inf
 Inf
 Inf
 2.55971315e+270
 1.94036930e+227
 Inf
 Inf
 6.51399179e-06
 Inf
 Inf
 Inf
 6.51444098e-06
 Inf
 6.51434879e-06
 6.51454524e-06
 6.51461909e-06
 Inf
 Inf
 6.51444550e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51418932e-06
 6.51464816e-06
 Inf
 3.84793509e+186
 4.92492578e+99
 Inf
 6.51405061e-06
 2.40888414e+200
 1.55378706e+213
 3.80400071e+152
 1.90906408e+138
 Inf
 1.41623553e+293
 5.48240096e+196
 1.59404816e+269
 1.01258154e+271
 1.03321916e+229
 3.57915905e+260
 1.28618614e+209
 6.51974392e+212
 Inf
 1.62721147e+231
 1.34689192e+195
 5.20047151e+235
 1.70143244e+206
 1.92421809e+227
 1.29875026e+261
 Inf
 Inf
 1.06431757e+268
 2.73567971e+278
 3.71648933e+182
 3.87242281e+100
 7.35486184e+91
 1.75808439e+179
 Inf
 Inf
 7.71993704e+240
 Inf
 Inf
 4.99893073e+211
 1.16514778e+176
 3.50149999e+189
 3.76432907e+186
 4.15729008e+218
 1.86858176e+149
 2.51457441e+163
 7.86350907e+180
 1.27174690e+209
 1.10260348e+217
 1.05721324e+169
 5.21365027e+178
 8.52378223e+143
 9.47020386e+131
 9.90580911e+141
 5.98338566e+168
 4.20853348e+118
 1.26326851e+105
 9.36879724e+131
 2.18066398e+114
 5.55425771e+103
 7.49818874e+127
 1.30492052e+119
 4.81933966e+114
 2.38433956e+109
 3.32334507e+131
 1.56937093e+231
 1.53878219e+154
 3.92894796e+128
 2.20224435e+142
 5.27642727e+172
 1.03639161e+219
 1.50997087e+163
 1.13769985e+197
 1.04154230e+208
 7.64440312e+229
 Inf
 1.85779963e+266
 2.91127697e+149
 9.59231057e+151
 3.19544443e+169
 2.11569376e+176
 2.97667947e+171
 1.93819871e+160
 4.92782711e+256
 Inf
 4.46718858e+188
 1.35636963e+158
 9.85195812e+173
 3.69180194e+237
 1.83368099e+216
 3.50716608e+175
 7.64532625e+258
 Inf
 1.81547580e+222
 1.46027137e+187
 2.58602304e+185
 1.86427924e+246
 5.70012573e+187
 4.44937633e+125
 3.04672825e+194
 4.63956171e+289
 8.67115033e+165
 8.97629636e+137
 1.97540942e+243
 Inf
 4.08157873e+285
 Inf
 Inf
 Inf
 3.87428201e+225
 1.10527437e+217
 1.03322184e+136
 3.64958845e+116
 1.59484485e+111
 1.00698404e+97
 6.18236112e+106
 9.76790370e+105
 1.69984750e+125
 2.77800761e+181
 2.04195926e+141
 3.22122707e+125
 2.24749926e+199
 4.97893528e+198
 3.77566169e+143
 6.50139108e+204
 1.94270774e+275
 2.21896492e+250
 1.71724463e+193
 7.63659499e+127
 6.01355350e+130
 8.83602059e+162
 1.92127563e+182
 4.18832022e+180
 Inf
 6.51446709e-06
 6.51605744e-06
 6.51606385e-06
 6.51764998e-06
 6.51865170e-06
 6.51672857e-06
 6.51576425e-06
 6.51642108e-06
 6.51698942e-06
 6.51621811e-06
 6.51624178e-06
 6.51660412e-06
 6.51691885e-06
 6.51637219e-06
 6.51562104e-06
 6.51593020e-06
 6.51726437e-06
 6.51675779e-06
 6.51590258e-06
 6.51628259e-06
 6.51652830e-06
 6.51589735e-06
 6.51533219e-06
 6.51543301e-06
 6.51614584e-06
 6.51579017e-06
 6.51566686e-06
 6.51580049e-06
 6.51542601e-06
 6.51514610e-06
 6.51535441e-06
 6.51540503e-06
 6.51512925e-06
 6.51486736e-06
 6.51464432e-06
 6.51459609e-06
 6.51470883e-06
 6.51441508e-06
 6.51520376e-06
 6.51531918e-06
 6.51502472e-06
 6.51488771e-06
 6.51500757e-06
 6.51558332e-06
 Inf
 8.55578915e+125
 5.64196344e+126
 1.20484092e+196
 1.79045896e+222
 Inf
 1.91820165e+162
 4.47765991e+121
 1.29613989e+140
 5.33023640e+145
 1.96468713e+207
 1.92639732e+175
 8.83473080e+147
 2.85367876e+127
 1.80845453e+184
 2.25848501e+290
 2.28346357e+280
 2.37569989e+191
 8.94778380e+162
 5.88771278e+203
 1.50725725e+163
 7.43287135e+205
 3.50255532e+254
 9.90811638e+185
 2.68481151e+226
 2.96996257e+209
 3.56712844e+260
 7.30050850e+250
 3.63955890e+124
 3.64409923e+213
 Inf
 4.79847781e+95
 1.79750205e+86
 1.06018779e+274
 1.94107824e+227
 1.84530634e+184
 3.70069759e+237
 Inf
 Inf
 1.51877433e+181
 2.44033160e+161
 1.58205439e+147
 1.90436587e+186
 2.09744196e+224
 3.14902521e+157
 1.13613051e+197
 4.32851171e+159
 2.37637599e+153
 5.84874582e+245
 2.72748736e+278
 5.55661792e+173
 6.84488792e+184
 2.52254592e+240
 Inf
 1.97976129e+248
 1.94508543e+182
 3.50142617e+193
 6.86869941e+184
 4.97521559e+200
 2.16429575e+258
 1.35073761e+195
 6.57322655e+219
 1.25486989e+265
 1.21729478e+203
 3.02496408e+253
 2.11286623e+230
 1.28184410e+209
 Inf
 Inf
 Inf
 4.13562686e+299
 Inf
 Inf
 Inf
 Inf
 Inf
 2.62400115e+185
 1.44521151e+225
 6.56097213e+242
 4.77799328e+265
 Inf
 Inf
 2.10391907e+211
 1.90185585e+162
 6.00701133e+153
 1.45956920e+161
 1.64725796e+220
 5.05959971e+185
 1.02051164e+229
 Inf
 Inf
 1.15959733e+197
 6.51345757e-06
 6.51481338e-06
 9.94354859e+170
 6.23076192e+154
 1.78747014e+266
 Inf
 1.85439066e+216
 1.60029167e+269
 Inf
 Inf
 Inf
 4.79260965e+261
 8.90868792e+160
 1.58192648e+147
 3.22234667e+148
 1.34175058e+132
 1.92110338e+160
 7.98216162e+223
 4.08734154e+161
 4.15270244e+123
 2.35533516e+153
 9.75662334e+185
 8.58212238e+165
 1.16291948e+279
 Inf
 1.49864329e+277
 1.94825180e+244
 4.95733682e+199
 1.69916205e+131
 4.18123115e+118
 4.00471431e+161
 1.05853637e+199
 4.87446325e+211
 2.67759740e+203
 1.15388074e+212
 5.94219914e+203
 Inf
 Inf
 2.39803485e+201
 6.64288564e+167
 3.41729995e+276
 Inf
 1.17701813e+176
 1.40975878e+190
 Inf
 1.14006048e+274
 1.14361888e+162
 1.49738024e+163
 3.96104794e+285
 Inf
 6.48274985e+262
 Inf
 Inf
 5.53190400e+202
 4.99035691e+200
 1.31980747e+204
 1.25944586e+215
 Inf
 1.91094128e+286
 2.96736931e+165
 3.77876247e+152
 1.18099652e+157
 9.46102816e+183
 1.91609284e+227
 Inf
 Inf
 6.40182932e+269
 Inf
 6.51415503e-06
 6.51485075e-06
 6.51505568e-06
 Inf
 4.29400903e+220
 2.58475624e+196
 7.39746504e+186
 2.12224142e+176
 6.41661316e+194
 1.31131503e+177
 7.20028838e+163
 1.90693260e+227
 Inf
 Inf
 5.36126921e+171
 7.10695662e+159
 8.65318020e+206
 2.67572911e+203
 1.14638346e+197
 2.74478039e+259
 9.80012896e+191
 Inf
 Inf
 2.06154095e+282
 9.01895672e+213
 9.68710324e+151
 8.71933563e+263
 Inf
 Inf
 2.09667976e+14
 1.62341774e+04
 5.31048296e+04
 1.26206948e+04
 1.80967247e+04
 7.38757690e+05
 1.08743831e+08
 6.57797129e+08
 2.67064843e+08
 1.34677568e+08
 2.07127498e+08
 2.80579501e+21
 7.50134664e+138
 3.65263562e+25
 4.40978303e+09
 1.12537016e+08
 3.11051883e+08
 1.31521942e+09
 9.28912580e+07
 6.51790197e+07
 1.42333209e+08
 2.71308973e+08
 2.91637816e+17
 2.24450637e+61
 2.48438417e+21
 1.87947449e+09
 5.93156179e+07
 2.29449428e+08
 5.06800723e+07
 5.14376651e+07
 6.37176269e+07
 7.30167105e+07
 6.16973840e+07
 3.38120656e+11
 1.14248945e+34
 9.64271131e+30
 6.27160729e+10
 3.63210353e+07
 1.96366305e+08
 3.19175110e+07
 1.70475196e+05
 3.37148987e+03
 1.67482665e+04
 6.08577275e+03
 2.88429606e+06
 3.58168005e+21
 1.01941495e+18
 3.30902854e+05
 6.00267822e+03
 2.93132971e+04
 4.82626668e+03
 5.23936671e+03
 3.82961915e+03
 2.18498291e+03
 3.54865616e+03
 1.71211411e+06
 2.54737963e+22
 1.30568077e+20
 6.41621416e+05
 5.26059985e+03
 2.71618117e+04
 6.15952974e+03
 4.56242671e+03
 3.26725456e+03
 2.49205071e+03
 5.13372204e+03
 1.60559970e+06
 1.28186072e+20
 1.53275937e+18
 2.68185517e+05
 3.98049908e+03
 5.19490835e+04
 3.11583966e+03
 2.71008276e+03
 2.96038267e+03
 3.53320046e+03
 8.10841785e+03
 1.12210837e+06
 5.40567546e+18
 6.83323747e+23
 4.08244281e+06
 3.43100044e+03
 1.17763889e+04
 2.89770541e+03
 2.70178172e+03
 3.13850861e+03
 5.30314460e+03
 3.93752123e+03
 2.90937761e+05
 6.55814319e+18
 4.27478383e+23
 3.99599815e+06
 3.72269810e+03
 1.41711097e+04
 3.84992564e+03
 1.59780754e+14
 Inf
 7.00711684e+12
 4.30298441e+09
 7.35546505e+20
 3.30566568e+09
 1.19862426e+13
 2.25551961e+74
 1.57138273e+16
 6.83368432e+08
 8.04228828e+36
 2.10858809e+16
 3.49237909e+05
 1.36004894e+12
 7.71674094e+70
 4.52071691e+16
 3.11195634e+09
 2.85714665e+12
 3.04604316e+10
 1.34932905e+30
 4.04781892e+16
 7.75791436e+09
 1.21742130e+14
 1.02653126e+08
 1.17890873e+06
 1.80670826e+09
 3.60503684e+35
 Inf
 7.85871803e+40
 6.95277806e+13
 1.22170081e+11
 2.98186544e+13
 2.12544033e+37
 Inf
 Inf
 5.09578882e+21
 1.56335950e+07
 3.31638818e+05
 1.28646372e+04
 2.54265419e+13
 4.95633200e+16
 7.18924975e+03
 8.54378417e+02
 1.91664399e+10
 1.27670460e+15
 1.50016400e+04
 6.31341178e+02
 1.96014631e+09
 1.34874459e+13
 1.94747279e+15
 Inf
 6.51417298e-06
 3.13951010e+20
 1.22669683e+11
 1.60657409e+42
 1.12186499e+33
 1.48302895e+32
 2.30894434e+41
 2.68333000e+08
 2.05829564e+09
 6.85425551e+14
 1.56051059e+12
 5.95029296e+29
 3.06982111e+40
 3.33711688e+14
 3.88431632e+13
 1.38087973e+17
 2.38695749e+36
 3.90152210e+188
 4.12074223e+255
 Inf
 Inf
 1.47602968e+187
 5.13165103e+197
 6.51364701e-06
 6.51517098e-06
 1.11226033e+175
 1.19225198e+255
 Inf
 9.84980041e+288
 1.00414356e+11
 5.40241424e+02
 4.34404871e+09
 1.26442986e+12
 2.10336196e+03
 4.37237321e+02
 9.69631528e+09
 2.32185971e+13
 4.44259344e+03
 4.25127393e+11
 Inf
 2.08153474e+249
 Inf
 3.65070733e+21
 2.73843110e+21
 Inf
 2.96022895e+15
 5.46361129e+08
 1.06857150e+13
 3.33168242e+09
 8.35579910e+19
 1.11010936e+34
 2.01891555e+22
 1.08719267e+17
 4.68290434e+27
 1.89081673e+18
 7.67967109e+10
 1.57956797e+14
 1.20274131e+12
 3.42916704e+14
 4.36098892e+15
 1.52502809e+15
 1.02044044e+15
 9.77567785e+14
 2.30838704e+15
 1.09252931e+15
 1.30556648e+15
 1.45320807e+16
 4.34799225e+16
 8.34572683e+15
 1.69174715e+15
 6.56014129e+15
 1.66044209e+16
 7.20202404e+16
 3.72445097e+16
 5.14922833e+15
 2.54843153e+16
 2.89312576e+35
 1.03048555e+19
 1.19598002e+14
 2.11832468e+67
 Inf
 Inf
 3.93793400e+206
 6.44978061e+194
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51434760e-06
 Inf
 1.54557293e+152
 5.29088359e+162
 6.52668316e+219
 3.52556794e+189
 2.62450548e+297
 Inf
 7.72385767e+240
 1.21428247e+203
 6.31786894e+234
 Inf
 Inf
 6.38166500e+243
 Inf
 Inf
 Inf
 4.06335065e+285
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51438807e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 4.78242719e+261
 Inf
 4.68661547e+222
 Inf
 Inf
 1.12236216e+238
 1.90716996e+162
 3.52788720e+184
 6.51413929e-06
 6.52621701e-06
 6.52651792e-06
 6.52315999e-06
 6.52081387e-06
 6.51735118e-06
 6.51562516e-06
 6.51465040e-06
 6.51437463e-06
 6.51480179e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51439032e-06
 6.51452937e-06
 6.51459693e-06
 Inf
 Inf
 Inf
 6.51443288e-06
 6.14825443e+23
 7.39968377e+08
 3.79317151e+09
 7.11666068e+07
 1.04276800e+07
 1.06316011e+06
 2.13724318e+05
 9.98259823e+04
 3.26956923e+04
 8.28323396e+03
 2.08829016e+13
 5.15251723e+116
 7.47306178e+14
 2.67024219e+04
 7.90336631e+02
 6.98576002e+09
 5.46285450e+14
 1.51126742e+04
 8.05368900e+02
 8.06068330e+10
 3.97901200e+266
 Inf
 Inf
 6.96968161e+14
 4.90613549e+09
 2.38958260e+28
 1.46203607e+11
 4.64337547e+09
 3.28337844e+43
 Inf
 1.97154840e+35
 2.28116785e+13
 1.25957184e+14
 5.64558674e+17
 1.98041556e+39
 5.65748243e+30
 4.83139240e+13
 1.28229948e+16
 1.68260818e+18
 1.12589892e+17
 1.64874228e+16
 2.18915211e+16
 1.62101387e+17
 2.08042069e+17
 5.15048435e+16
 9.94333782e+16
 5.51601237e+16
 1.52815277e+16
 8.53898359e+16
 5.14747567e+16
 6.20944624e+16
 6.14703987e+16
 3.90966822e+16
 7.85903940e+17
 2.04382091e+18
 3.17583661e+33
 3.85187046e+159
 2.99201748e+160
 4.34197689e+18
 1.84099060e+09
 1.67036742e+26
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.42975219e+293
 1.26699362e+265
 Inf
 Inf
 3.01327671e+209
 Inf
 Inf
 Inf
 6.51418882e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51452036e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 2.83035243e+229
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 1.20932975e+180
 1.31492358e+204
 4.44588093e+231
 7.49248367e+215
 2.40110576e+208
 1.74293794e+170
 1.30982931e+140
 2.33146920e+201
 3.21408511e+238
 1.03255940e+254
 Inf
 Inf
 Inf
 2.80198566e+278
 Inf
 Inf
 Inf
 Inf
 9.06816888e+286
 Inf
 Inf
 Inf
 5.62132736e+291
 6.51385349e-06
 6.51448314e-06
 Inf
 Inf
 6.51396822e-06
 6.51445612e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 9.64565554e+238
 1.00849911e+271
 Inf
 Inf
 Inf
 Inf
 7.08684297e+241
 Inf
 6.51432952e-06
 6.51573265e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 3.50526087e+276
 9.01438999e+213
 2.67157599e+252
 Inf
 1.31783000e+261
 6.92348280e+184
 6.49203862e+212
 2.21729768e+234
 1.21336578e+203
 8.79452924e+210
 2.27272034e+290
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51451516e-06
 6.51437399e-06
 6.51478792e-06
 6.51474509e-06
 6.51456813e-06
 6.51468956e-06
 6.51482017e-06
 6.51501804e-06
 6.51476971e-06
 6.51474455e-06
 6.51485910e-06
 6.51457065e-06
 6.51469666e-06
 6.51495493e-06
 6.51569917e-06
 6.51546360e-06
 6.51506473e-06
 6.51443352e-06
 6.51466833e-06
 6.51477231e-06
 6.51505674e-06
 6.51518654e-06
 6.51441242e-06
 6.51498039e-06
 Inf
 6.51433865e-06
 6.51484438e-06
 6.51520630e-06
 6.51463584e-06
 6.51544853e-06
 6.51549729e-06
 6.51514403e-06
 6.51524258e-06
 6.51505281e-06
 6.51467693e-06
 6.51508144e-06
 6.51534579e-06
 6.51516703e-06
 6.51452305e-06
 6.51480331e-06
 6.51533538e-06
 6.51513256e-06
 6.51456793e-06
 6.51558214e-06
 6.51585630e-06
 6.51553706e-06
 6.51523800e-06
 6.51499886e-06
 Inf
 7.21198674e+189
 8.93400327e+252
 Inf
 Inf
 6.51429640e-06
 6.51462672e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51429378e-06
 6.51452519e-06
 6.51473910e-06
 Inf
 Inf
 Inf
 6.51437336e-06
 Inf
 Inf
 6.51424583e-06
 6.51458577e-06
 Inf
 Inf
 6.51431514e-06
 6.51467771e-06
 6.51486059e-06
 Inf
 6.51422294e-06
 6.51443307e-06
 6.51477331e-06
 6.51466405e-06
 6.51475735e-06
 6.51504231e-06
 6.51508715e-06
 6.51495038e-06
 6.51467583e-06
 6.51595867e-06
 6.51561918e-06
 6.51508740e-06
 6.51491388e-06
 6.51500427e-06
 6.51613828e-06
 6.51674296e-06
 6.51592776e-06
 6.51530936e-06
 6.51452645e-06
 6.51445499e-06
 6.51464691e-06
 6.51455263e-06
 6.51474666e-06
 6.51464171e-06
 6.51478531e-06
 6.51479725e-06
 6.51453786e-06
 6.51518371e-06
 6.51510405e-06
 6.51457027e-06
 6.51460170e-06
 6.51484598e-06
 6.51461489e-06
 6.51529392e-06
 6.51525789e-06
 6.51454321e-06
 6.51453401e-06
 Inf
 1.95676874e+247
 Inf
 Inf
 Inf
 1.95316443e+227
 4.15096204e+255
 Inf
 Inf
 Inf
 6.51431237e-06
 6.51495035e-06
 6.51487039e-06
 6.51456620e-06
 6.51461956e-06
 6.51535606e-06
 6.51577587e-06
 6.51530401e-06
 6.51490081e-06
 Inf
 Inf
 6.51416881e-06
 6.51482476e-06
 6.51563320e-06
 6.51533451e-06
 6.51492702e-06
 6.51456243e-06
 6.51477200e-06
 6.51465330e-06
 6.51442172e-06
 6.51463627e-06
 6.51494683e-06
 6.51495629e-06
 6.51480959e-06
 6.51491759e-06
 6.51486262e-06
 6.51471370e-06
 6.51468819e-06
 6.51442829e-06
 6.51453091e-06
 6.51465594e-06
 6.51480357e-06
 6.51504801e-06
 6.51500636e-06
 6.51481097e-06
 6.51456106e-06
 6.51453154e-06
 6.51485858e-06
 6.51490406e-06
 6.51475202e-06
 6.51502290e-06
 6.51495993e-06
 6.51462643e-06
 6.51488421e-06
 6.51493594e-06
 6.51494574e-06
 Inf
 6.51436270e-06
 6.51457063e-06
 6.51473515e-06
 6.51480942e-06
 6.51468099e-06
 6.51505526e-06
 Inf
 6.51434255e-06
 6.51477343e-06
 Inf
 Inf
 6.51446927e-06
 Inf
 Inf
 6.51449595e-06
 6.51451447e-06
 6.51443746e-06
 Inf
 Inf
 Inf
 6.51432934e-06
 6.51473203e-06
 Inf
 6.51444723e-06
 6.51456437e-06
 Inf
 Inf
 6.51423502e-06
 6.51503943e-06
 6.51510021e-06
 6.51463434e-06
 6.51471875e-06
 6.51454585e-06
 6.51448329e-06
 6.51458093e-06
 6.51440562e-06
 6.51512787e-06
 6.51530775e-06
 6.51513442e-06
 Inf
 6.51440315e-06
 6.51507115e-06
 6.51503586e-06
 6.51458293e-06
 6.51467514e-06
 6.51484159e-06
 Inf
 Inf
 6.51424647e-06
 6.51464173e-06
 6.51466982e-06
 6.51486576e-06
 6.51515774e-06
 6.51499081e-06
 6.51475644e-06
 6.51460371e-06
 6.51471319e-06
 6.51483358e-06
 6.51474264e-06
 6.51507961e-06
 6.51511431e-06
 6.51478472e-06
 6.51467195e-06
 6.51476173e-06
 6.51480755e-06
 6.51476331e-06
 6.51472541e-06
 6.51517330e-06
 6.51533573e-06
 6.51516411e-06
 6.51441592e-06
 6.51520941e-06
 6.51561992e-06
 6.51527723e-06
 6.51441980e-06
 6.51484423e-06
 6.51504590e-06
 Inf
 6.51439424e-06
 6.51467077e-06
 Inf
 6.51445574e-06
 6.51440608e-06
 6.51463704e-06
 Inf
 2.23532258e+250
 Inf
 Inf
 2.78543657e+267
 Inf
 Inf
 6.51435010e-06
 Inf
 Inf
 6.51389215e-06
 6.51455220e-06
 6.51462960e-06
 6.51479165e-06
 6.51511847e-06
 6.51510560e-06
 6.51507532e-06
 6.51446660e-06
 6.51461477e-06
 6.51505331e-06
 6.51485899e-06
 6.51462205e-06
 6.50207557e-06
 6.51493853e-06
 6.51510720e-06
 6.51521879e-06
 6.51497315e-06
 6.51480095e-06
 6.51478166e-06
 6.51498043e-06
 6.51505424e-06
 6.51496913e-06
 6.51581735e-06
 6.51559923e-06
 6.51507331e-06
 Inf
 Inf
 6.51449897e-06
 6.51538199e-06
 6.51523750e-06
 6.51453853e-06
 6.51483906e-06
 6.51504209e-06
 6.51478279e-06
 6.51436762e-06
 6.51479655e-06
 6.51505678e-06
 6.51454434e-06
 6.51455816e-06
 6.51534070e-06
 6.51519292e-06
 Inf
 6.51439080e-06
 6.51468769e-06
 6.51508769e-06
 6.51487826e-06
 6.51467051e-06
 6.51468643e-06
 6.51489736e-06
 6.51454611e-06
 6.51510377e-06
 6.51532039e-06
 6.51494600e-06
 6.51491026e-06
 6.51495007e-06
 6.51480726e-06
 6.51471516e-06
 6.51476974e-06
 6.51476756e-06
 6.51468704e-06
 6.51470906e-06
 6.51438332e-06
 6.51463858e-06
 6.51493821e-06
 6.51437733e-06
 6.51458949e-06
 6.51479984e-06
 6.51471597e-06
 6.51439373e-06
 6.51493497e-06
 6.51523006e-06
 6.51496364e-06
 6.51504898e-06
 6.51536397e-06
 6.51543081e-06
 6.51515439e-06
 6.51486039e-06
 6.51449776e-06
 6.51536315e-06
 6.51564028e-06
 6.51587979e-06
 6.51560786e-06
 6.51522567e-06
 6.51521158e-06
 6.51516640e-06
 6.51499635e-06
 6.51501222e-06
 6.51509570e-06
 Inf
 6.51419298e-06
 6.51481651e-06
 6.51504086e-06
 6.51482458e-06
 6.51510340e-06
 6.51513596e-06
 6.51478124e-06
 6.51501049e-06
 6.51549132e-06
 6.51533692e-06
 6.51501444e-06
 6.51470934e-06
 6.51480930e-06
 6.51503594e-06
 6.51474718e-06
 6.51446654e-06
 6.51490825e-06
 6.51502366e-06
 6.51519824e-06
 6.51559689e-06
 6.51543083e-06
 6.51511182e-06
 6.51520266e-06
 6.51569652e-06
 6.51539271e-06
 6.51493092e-06
 6.51460286e-06
 6.51473605e-06
 6.51502148e-06
 6.51525014e-06
 6.51508529e-06
 6.51490719e-06
 6.51514515e-06
 Inf
 6.51443812e-06
 6.51447342e-06
 6.51487647e-06
 Inf
 Inf
 Inf
 Inf
 6.51417007e-06
 6.51463912e-06
 6.51476138e-06
 6.51469565e-06
 6.51468112e-06
 6.51485525e-06
 6.51535510e-06
 6.51514184e-06
 6.51492303e-06
 6.51436381e-06
 6.51489072e-06
 6.51500240e-06
 6.51511229e-06
 6.51551650e-06
 6.51546237e-06
 6.51512171e-06
 6.51507719e-06
 6.51569811e-06
 6.51566817e-06
 6.51520898e-06
 Inf
 6.51433486e-06
 6.51480437e-06
 6.51476959e-06
 6.51773779e-06
 6.52083386e-06
 6.51714307e-06
 6.51544559e-06
 6.51491105e-06
 6.51476000e-06
 6.51520368e-06
 6.51573421e-06
 6.51556617e-06
 6.51517323e-06
 6.51496944e-06
 6.51490550e-06
 6.51489992e-06
 6.51503939e-06
 6.51496170e-06
 6.51475874e-06
 6.51476094e-06
 6.51476830e-06
 6.51484158e-06
 6.51481660e-06
 6.51469298e-06
 6.51460472e-06
 6.51453303e-06
 6.51472008e-06
 6.51481154e-06
 6.51460510e-06
 6.51475300e-06
 6.51478609e-06
 6.51470695e-06
 Inf
 Inf
 6.51423784e-06
 6.51439371e-06
 6.51459311e-06
 6.51478606e-06
 Inf
 Inf
 6.51425865e-06
 6.51470412e-06
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 Inf
 6.51407642e-06
 6.51452012e-06
 6.51491694e-06
 6.51451782e-06
 6.51449694e-06
 6.51465415e-06
 6.51466391e-06
 6.51518837e-06
 6.51530875e-06
 6.51504589e-06
 6.51469043e-06
 6.51473891e-06
 6.51485367e-06
 6.51485541e-06
 6.51462720e-06
 6.51453425e-06
 6.52148067e-06
 6.53587916e-06
 6.52806424e-06
 6.52220919e-06
 6.51970127e-06
 6.51775287e-06
 6.51605697e-06
 6.51541690e-06
 6.51564773e-06
 6.51537246e-06
 6.51459494e-06
 6.51472207e-06
 6.51523529e-06
 6.51515121e-06
 6.51499956e-06
 6.51466824e-06
 6.51483574e-06
 6.51504150e-06
 6.51503539e-06
 6.51463152e-06
 6.51457209e-06
 6.51499453e-06
 6.51476825e-06
 6.51517217e-06
 6.51572525e-06
 6.51529306e-06
 6.51486931e-06
 6.51560847e-06
 6.51578107e-06
 6.51524177e-06
 6.51501603e-06
 6.51581956e-06
 6.51539258e-06
 6.51466945e-06
 6.51480366e-06
 6.51526439e-06
 6.51515896e-06
 Inf
 Inf
 6.51431842e-06
 Inf
 Inf
 Inf
 6.51426607e-06
 6.51474045e-06
 6.51485573e-06
 Inf
 6.51433135e-06
 6.51472438e-06
 Inf
 6.51430546e-06
 6.51464594e-06
 6.51532293e-06
 6.51542491e-06
 6.51522431e-06
 6.51543828e-06
 6.51537973e-06
 6.51507891e-06
 6.51509138e-06
 6.51511682e-06
 Inf
 6.51410443e-06
 6.51478254e-06
 6.51507865e-06
 6.51487644e-06
 6.51439123e-06
 6.51476769e-06
 6.51490519e-06
 6.51475169e-06
 6.51457790e-06
 6.51479122e-06
 6.51501905e-06
 6.51532188e-06
 6.51563146e-06
 6.51545356e-06
 6.51509052e-06
 6.51480531e-06
 6.51467288e-06
 6.51488190e-06
 6.51530699e-06
 6.51716093e-06
 6.51766655e-06
 6.51586879e-06
 6.51487478e-06
 6.51518809e-06
 6.51584978e-06
 6.51556500e-06
 6.51514829e-06
 6.51607569e-06
 6.51750520e-06
 6.51599924e-06
 6.51502503e-06
 6.51479728e-06
 6.51514632e-06
 6.51500949e-06
 6.51487864e-06
 6.51508213e-06
 6.51535859e-06
 6.51524966e-06
 6.51497902e-06
 6.51440281e-06
 6.51482002e-06
 6.51500993e-06
 Inf
 Inf
 6.51436381e-06
 6.51626472e-06
 6.51875414e-06
 6.51995007e-06
 6.51913475e-06
 6.51624033e-06
 Inf
 6.51420498e-06
 6.51670785e-06
 6.51792623e-06
 6.51909024e-06
 6.51882484e-06
 6.51737098e-06
 6.51809818e-06
 6.52174801e-06
 6.52442657e-06
 6.52321609e-06
 6.52059822e-06
 6.52073711e-06
 6.52157451e-06
 6.52211660e-06
 6.52165660e-06
 6.52128019e-06
 6.52256053e-06
 6.52129375e-06
 6.52039036e-06
 6.52243414e-06
 6.52381002e-06
 6.52086234e-06
 6.51847415e-06
 6.51923453e-06
 6.52085140e-06
 6.52046810e-06
 6.51864776e-06
 6.51949608e-06
 6.52193252e-06
 6.52198423e-06
 6.52037068e-06
 6.51956368e-06
 6.51996825e-06
 6.51914573e-06
 6.51826740e-06
 6.52044495e-06
 6.52238815e-06
 6.52021728e-06
 6.51968016e-06
 6.52099889e-06
 6.52251984e-06
 6.52084485e-06
 6.52090319e-06
 6.52268865e-06
 6.52082129e-06
 6.52045723e-06
 6.52206428e-06
 6.52192811e-06
 6.52206278e-06
 6.52159353e-06
 6.52250884e-06
 6.52315468e-06
 6.52139556e-06
 6.52302888e-06
 6.52396078e-06
 6.52222674e-06
 6.52294789e-06
 6.52297935e-06
 6.52286337e-06
 6.52235785e-06
 6.51992965e-06
 6.51991597e-06
 6.52147696e-06
 6.52121923e-06
 6.52051335e-06
 6.52271279e-06
 6.52360614e-06
 6.52022932e-06
 6.51812075e-06
 6.51892152e-06
 6.52096219e-06
 6.51911181e-06
 6.51779261e-06
 6.51890567e-06
 6.51952302e-06
 6.51791165e-06
 6.51644688e-06
 6.51727383e-06
 6.51987070e-06
 6.47112974e-06
 6.51997120e-06
 6.51980123e-06
 6.52036604e-06
 6.52036478e-06
 6.52146765e-06
 6.51878103e-06
 6.51597953e-06
 6.51483708e-06
 6.51463738e-06
 6.51502986e-06
 6.51504974e-06
 6.51488106e-06
 6.51485233e-06
 6.51515392e-06
 6.51513492e-06
 6.51490725e-06
 6.51447188e-06
 6.51465652e-06
 6.51497195e-06
 6.51486255e-06
 6.51477779e-06
 6.51500781e-06
 6.51496036e-06
 6.51470987e-06
 Inf
 6.51433348e-06
 6.51461225e-06
 6.51484757e-06
 6.51454514e-06
 6.51493628e-06
 6.51523884e-06
 6.51503794e-06
 6.51451172e-06
 6.51467708e-06
 6.51489337e-06
 Inf
 Inf
 6.51436206e-06
 6.51488397e-06