Input: 0.18810116 0.01992765 0.009388913 0.0073727844 0.012272661 0.006884503 0.004776493 0.0038445585 0.012877761 0.00269211 0.0034599714 0.0024873468 0.0075827977 0.0032998363 0.0028063045 0.0057609314 0.015109154 0.0027131112 0.0016984837 0.0015842889 0.0042974 0.0038340578 0.0015002835 0.001359837 0.004250147 0.002151325 0.00152391 0.001602665 0.0039561284 0.0015737882 0.00164073 0.0017706759 0.008953135 0.0015711631 0.0017221102 0.0014753444 0.011632119 0.0016236664 0.0012771442 0.0011944515 0.0028063045 0.0010658182 0.0011655746 0.0015409737 0.002442719 0.0013965893 0.0017168599 0.0009805002 0.0040650726 0.0021592006 0.0018874957 0.0050245714 0.0027222992 0.0020056283 0.0018625567 0.0017877395 0.0035295384 0.0027590515 0.0019360614 0.0048985635 0.0024689706 0.0021460748 0.0017877395 0.0019019343 0.007326844 0.0035767914 0.0021723264 0.00499832 0.01199833 0.011802755 0.0036542339 0.0019833145 0.0035833544 0.0019715012 0.0011550739 0.0013230847 0.004489037 0.004997007 0.002092259 0.0014057775 0.009604177 0.0040742606 0.0026396064 0.0040440713 0.0026671707 0.0030373193 0.0056900517 0.004780431 0.0025503507 0.0022287676 0.0011892011 0.0019780642 0.0021224483 0.002640919 0.0035479146 0.002726237 0.0030530705 0.0029428133 0.0017614877 0.002357401 0.0037290512 0.0062964656 0.0035256005 0.0017772388 0.0055587934 0.003985005 0.006729618 0.0015357233 0.0030530705 0.0016774824 0.003622732 0.0032355196 0.003931189 0.0018599315 0.0039167507 0.003501974 0.011766003 0.008576424 0.0022917716 0.002171014 0.0022943967 0.0014819073 0.0012167654 0.0010054393 0.0020843835 0.0027708649 0.0015527869 0.0015173471 0.008564611 0.0036581715 0.0016446677 0.008857317 0.003284085 0.005919754 0.0018034904 0.0013309602 0.0038104313 0.010689684 0.0025516632 0.024838027 0.0017089844 0.00899645 0.0018468057 0.0011826382 0.008269279 0.0012351415 0.0016197286 0.0016223538 0.0013152092 0.00087286835 0.0011314474 0.0007652365 0.0015711631 0.0011458858 0.001233829 0.0008453041 0.0014005271 0.0007626113 0.0008846816 0.00085055444 0.0032171435 0.0023075226 0.0011065083 0.0013677125 0.0014858451 0.0013152092 0.00096474926 0.0008019888 0.0017116095 0.0008374286 0.0012102025 0.00085580477 0.0010054393 0.0010553176 0.0010671308 0.00073373446 0.0023140856 0.0010868196 0.00095687376 0.00087943126 0.0014241537 0.0010487547 0.0012692687 0.0014714067 0.003423219 0.0012823946 0.000889932 0.0016394174 0.0013585244 0.00074817287 0.0012193905 0.0013453986 0.008743122 0.003501974 0.0032355196 0.0039994433 0.0030963856 0.0012666435 0.0030950732 0.004036196 0.002182827 0.0022510816 0.0012298912 0.0015475366 0.005367156 0.0013348979 0.0019872522 0.0011642621 0.0028469947 0.0015449114 0.0013939642 0.001508159 0.0014031522 0.0009332472 0.0014084027 0.0013808383 0.0021500126 0.0010120022 0.001148511 0.0015357233 0.0018546812 0.0012548303 0.00094899826 0.00094899826 0.003400905 0.0015094716 0.0012246409 0.0012312038 0.0018428679 0.0007087954 0.0011340725 0.00091487105 0.012675623 0.004126764 0.000984438 0.0033313383 0.0030740718 0.0009765625 0.000883369 0.0008321783 0.004722677 0.0019806894 0.0011760753 0.0014005271 0.0020502561 0.0008623677 0.0022865213 0.0017943024 0.0037448022 0.0011471984 0.0012758316 0.0012390793 0.0034783476 0.0013624622 0.0033392138 0.037921865 0.012113055 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012749201 3.943052e-06 3.943052e-06 2.6287012e-06 3.943052e-06 3.943052e-06 1.0514805e-05 2.6287012e-06 5.2574023e-06 5.2574023e-06 4.600227e-06 7.2289286e-06 2.6287012e-06 5.9145777e-06 3.943052e-06 4.600227e-06 0.0024814939 5.6517078e-05 7.886104e-06 7.886104e-06 5.2574023e-06 5.9145777e-06 1.5772208e-05 9.857629e-06 1.9058083e-05 4.600227e-06 4.600227e-06 3.2858766e-06 2.102961e-05 3.943052e-06 5.9145777e-06 3.877334e-05 0.0036013206 6.900341e-05 3.4830293e-05 2.1686785e-05 3.877334e-05 1.5772208e-05 3.088724e-05 2.4315486e-05 2.3658311e-05 1.5772208e-05 7.886104e-06 2.0372434e-05 2.4315486e-05 7.886104e-06 3.877334e-05 6.243165e-05 0.0034015393 5.5202727e-05 9.923347e-05 2.3001136e-05 2.234396e-05 1.7086559e-05 0.00013866399 7.294646e-05 8.411844e-05 1.3143506e-05 1.7743732e-05 1.8400908e-05 1.4457857e-05 1.6429383e-05 2.8258539e-05 1.5115032e-05 0.004148748 0.0001064624 6.9660586e-05 2.4315486e-05 5.980295e-05 1.3800682e-05 3.0230063e-05 7.294646e-05 0.0003404168 1.9058083e-05 1.5772208e-05 4.600227e-05 5.32312e-05 1.0514805e-05 4.0087692e-05 0.0003325307 0.009661791 0.00018860931 0.00013274941 0.00014063551 0.00028849996 0.0001248633 9.660477e-05 0.00018203756 0.0006913484 0.00027338494 8.3461266e-05 8.608997e-05 0.00014457856 5.9145776e-05 0.00014852162 0.0011566285 0.048830096 0.0018808357 0.0027673652 0.00095290417 0.0034271693 0.0007958393 0.00648172 0.0033088776 0.0015515909 0.0007334076 0.0002983576 0.0007044919 0.0006788621 0.00049616734 0.0005954008 0.004558825 0.0106580695 0.00039496235 0.00064600335 0.0002825854 0.0005053678 0.00029901476 0.0022705407 0.0010567378 0.0007577231 0.0001544362 6.9660586e-05 0.0002845569 0.00028915712 4.0087692e-05 9.5290416e-05 0.001038337 0.016807916 0.0025012093 0.00074326526 0.0008812721 0.0021627638 0.000922017 0.004214465 0.002166707 0.00041599196 0.00055662746 0.00027995667 0.00021949655 0.00040219128 0.0002477551 0.00040350563 0.0034140258 0.022248013 0.0035244313 0.000989706 0.0008260693 0.002346116 0.0016173085 0.004453677 0.002556412 0.001394526 0.0007261787 0.00066637574 0.0008852151 0.00065060356 0.0006473177 0.00041927784 0.0045009935 0.011256099 0.0013741535 0.0012302322 0.0062924535 0.0035053731 0.0015575055 0.0032845621 0.0019662685 0.0010140215 0.0007025204 0.00090098736 0.00095158984 0.001319608 0.00081818324 0.0009548757 0.0019025225 0.006079529 0.00092596 0.0006998917 0.001761887 0.0031813856 0.0010560807 0.0018026319 0.0012046023 0.0014924451 0.0005769999 0.0004547653 0.00059277215 0.001780288 0.00044885074 0.0012742629 0.0022396534 0.042136766 0.0073833647 0.00657241 0.0052462304 0.01267034 0.012776802 0.0065546664 0.008856752 0.023594566 0.0052061426 0.0018453483 0.0023822605 0.010609438 0.002568241 0.00848479 0.01404055 0.07813683 0.020427637 0.018757755 0.015882613 0.029802242 0.027968723 0.015732119 0.021467289 0.047045864 0.008210091 0.006853681 0.0073242188 0.022208583 0.007886761 0.017657643 0.028796764 0.020198284 0.011644489 0.0098274 0.010640983 0.010557521 0.008407901 0.009762339 0.009034188 0.012370668 0.008337583 0.009563215 0.008852809 0.00989706 0.010041638 0.008746346 0.007662664 3047.0 10.052182 30629.0 0.041627217 0.0029383916 0.004048451 0.0030363381 0.015116393 0.003232231 0.0018609815 0.0022854158 0.0069541936 0.0027098502 0.0018283327 0.0026772013 0.0038852068 0.0040810998 0.00976199 0.0035587188 0.011525026 0.0078030624 0.0095008 0.009076365 0.008292794 0.0074765743 0.0077704135 0.007541872 0.011198537 0.009533449 0.00976199 0.010643507 0.011002645 0.009043717 0.010153776 0.01139443 0.026380228 0.015410232 0.0053544026 0.016357047 0.012178001 0.010741455 0.006627706 0.0063665155 0.0063338666 0.009794639 0.0018609815 0.0027098502 0.012504489 0.006529759 0.0052238074 0.0061379736 0.017793594 0.010284371 0.008815175 0.0162591 0.009892586 0.0058767833 0.013124816 0.012602435 0.0034281237 0.0034281237 0.0023507134 0.004113748 0.0058767833 0.003983153 0.004668778 0.0060400274 0.0038852068 0.022103235 0.009206961 0.015671423 0.016912077 0.05347873 0.009109015 0.010806751 0.012928924 0.030885762 0.007345979 0.0048973197 0.025008978 0.010414966 0.027000556 0.034542426 0.014136929 0.0026119037 0.027555585 0.019426035 0.04632864 0.0131574655 0.0060726763 0.008749877 0.007705116 0.006758301 0.0026445526 0.0023507134 0.0023507134 0.002056874 0.0016650887 0.0018609815 6.1277533 0.0 0.0 0.0 4.0 761856.0 589824.0 0.0 0.0 354.0 0.0 1.0 0.0 0.0 0.0 1154574300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 286720.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -286720.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.5534763 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.135751 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.560786 0.0 7.0150065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60802.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -282906.0 0.0 201528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 -2.0 0.0 1.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 -3.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 2.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -3.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 343904.0 201528.0 385024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1468.0 290816.0 0.0 0.0 0.0 0.0


Input: 0.24388057 0.0070242067 0.005187565 0.0049329274 0.005336555 0.0044453233 0.008952952 0.0043559293 0.00893128 0.0034078103 0.0028443567 0.0020831528 0.00510088 0.0019802141 0.001433014 0.007268009 0.004941054 0.001370709 0.0014140516 0.0013490377 0.0023052834 0.0019287448 0.0018095527 0.001191921 0.0024217668 0.0013842536 0.0011377428 0.0012460991 0.0017526656 0.0011241982 0.0011621229 0.0015115725 0.0047433036 0.001313822 0.0016659804 0.0014194695 0.0038547807 0.0011350338 0.001034804 0.0010700199 0.0018176794 0.000915612 0.0009264476 0.0022971567 0.0013680002 0.0021183686 0.0012542258 0.0009129031 0.0022240162 0.0011702497 0.0012488081 0.004244864 0.0014059249 0.004060658 0.0011160715 0.0009860437 0.0016443091 0.0019775052 0.0011756675 0.0029202064 0.0015224081 0.0013192397 0.0011404516 0.001370709 0.0038764519 0.0037003728 0.00470267 0.006160064 0.004147343 0.008923153 0.0022104715 0.0018068438 0.0052607055 0.0017960082 0.001373418 0.0011702497 0.002467818 0.0035486738 0.0015196992 0.0013327843 0.004515755 0.0017472478 0.0012325546 0.002440729 0.0016632715 0.0027089112 0.003023145 0.0027116202 0.0017174497 0.0033834302 0.001159414 0.0014980279 0.004426361 0.0029391686 0.001953125 0.0020912795 0.0016443091 0.003023145 0.0016009666 0.0021183686 0.0021752557 0.0041933944 0.003694955 0.0012596437 0.0026140993 0.0025517943 0.0038574897 0.0012352635 0.0023567528 0.0014573942 0.0028253945 0.0029202064 0.0021183686 0.0009670813 0.003665157 0.0030664876 0.007947946 0.006921268 0.0017743369 0.0013625823 0.0014492675 0.0015359527 0.0011025269 0.0009887526 0.0015034458 0.0022023448 0.0017553745 0.0018122616 0.0035324201 0.0022700676 0.0017309943 0.0078856405 0.0020398102 0.0063903215 0.0009806259 0.0010429309 0.002194218 0.0069375215 0.001403216 0.01910866 0.0011160715 0.0057483097 0.00085601595 0.0010456397 0.0012786061 0.000793711 0.00088581396 0.0008912318 0.0010185506 0.004052531 0.0008722694 0.000823509 0.0012704794 0.0009941704 0.00082621793 0.0008316357 0.0014275962 0.0013463289 0.00077745755 0.0016686893 0.0014465586 0.0013327843 0.00097249914 0.0014465586 0.0012786061 0.0011052358 0.0010239684 0.0009345744 0.0014167606 0.0010916912 0.00092915655 0.0011783764 0.0010916912 0.00097520807 0.0009914616 0.0009643724 0.0015034458 0.0009670813 0.001037513 0.0011079446 0.0013923803 0.0011756675 0.0023648795 0.002075026 0.0020398102 0.0015332438 0.001495319 0.0013192397 0.0012298457 0.0011512872 0.0012542258 0.0012569348 0.0059189713 0.0033698855 0.002047937 0.0036163966 0.0026655686 0.0012244278 0.002530123 0.0032263133 0.0033834302 0.0037680955 0.0022727766 0.0022673586 0.0071271453 0.0022185983 0.0026438974 0.0026736953 0.0037355886 0.0032154776 0.0037978936 0.0037653865 0.0041690143 0.0038601984 0.0043152957 0.0044697034 0.005168603 0.0046539097 0.0044046897 0.004892294 0.0044101076 0.0040146066 0.003751842 0.003627232 0.0049220915 0.003451153 0.003294036 0.0030989945 0.003475533 0.0033048717 0.0024976162 0.0023567528 0.012523296 0.0031504638 0.002232143 0.004450741 0.004020024 0.0022619409 0.0027712162 0.0025870102 0.0044697034 0.0026601509 0.0024759448 0.0026926578 0.0037410064 0.0034348995 0.0055180523 0.004997941 0.005425949 0.0027576715 0.0023432083 0.0016551447 0.0036218143 0.0033725945 0.0032263133 0.06937793 0.0027855153 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0052704453 0.0 6.8005747e-06 8.1606895e-06 1.3601149e-06 5.4404595e-06 1.3601149e-06 2.7202298e-06 1.3601149e-06 5.1684365e-05 2.3121953e-05 9.520804e-06 9.520804e-06 8.1606895e-06 9.520804e-06 0.00016185368 0.005054187 5.4404595e-06 4.0803448e-06 1.2241034e-05 1.3601149e-06 5.4404595e-06 1.3601149e-06 8.1606895e-06 6.8005747e-06 3.2642758e-05 4.7604022e-05 1.0880919e-05 2.4482068e-05 4.0803448e-06 1.4961264e-05 0.0003373085 0.009732982 2.4482068e-05 4.3523676e-05 4.7604022e-05 5.7124827e-05 2.3121953e-05 5.4404598e-05 4.4883793e-05 1.9041609e-05 7.208609e-05 0.00015233287 2.4482068e-05 3.8083217e-05 2.1761838e-05 0.00026114206 0.00052500435 0.017797103 0.0001917762 5.032425e-05 8.5687236e-05 0.00015641321 1.2241034e-05 3.400287e-05 7.480632e-05 8.296701e-05 9.928839e-05 0.0004488379 0.00024210045 0.000119690114 0.00016185368 0.00045699862 0.0022700317 0.012207031 0.00010744908 5.032425e-05 8.432713e-05 4.6243906e-05 5.1684365e-05 3.128264e-05 6.664563e-05 8.160689e-05 6.936586e-05 0.00029922527 0.00060117076 0.00014825253 9.792827e-05 0.00023666 0.002533894 0.016729413 6.800574e-05 0.00033050793 5.7124827e-05 0.00021761839 9.928839e-05 0.002498531 0.0011384161 2.7202299e-05 8.296701e-05 0.00025162127 0.0008827146 0.0007671048 0.0021816243 0.00090855674 0.0043999716 0.0537531 0.0010445683 0.0018402354 0.0009847232 0.0023271565 0.0007303817 0.0032520348 0.002048333 0.0004923616 0.00049644196 0.00083511055 0.0018334349 0.00651087 0.026663693 0.010920363 0.025542958 0.03306303 0.0005454061 0.0010132856 0.00060389104 0.0017436673 0.00058212917 0.0026930275 0.0014444421 0.00033866861 0.00037131135 0.00078342616 0.0014607634 0.003184029 0.011540575 0.010017246 0.022537105 0.018781826 0.00043523678 0.0004842009 0.0004637992 0.0019776071 0.0007208609 0.0027528726 0.0015070073 0.00035771023 0.00026930275 0.00038627264 0.000627013 0.0019925684 0.0063408557 0.0047005573 0.008341584 0.0071909274 0.00043115643 0.0008949556 0.00037811193 0.0017042239 0.0004474778 0.0035594206 0.0019585656 0.00014417218 7.888667e-05 0.000115609764 0.00014145195 0.00021217793 0.0008215094 0.00030738596 0.001112574 0.022533024 0.0014403617 0.0017844707 0.0013451537 0.0022523503 0.0014852454 0.0029337679 0.0022768322 0.0017055841 0.0011465768 0.0011316156 0.001018726 0.0012567461 0.0011098537 0.0012825883 0.002650864 0.021983538 0.0018973603 0.0020782556 0.0017368668 0.0024998912 0.0018891996 0.0019436042 0.0018089528 0.0029174464 0.0015614119 0.0013927576 0.0015464507 0.0020646544 0.0013410733 0.0017001437 0.0045631854 0.031651232 0.0050936304 0.0035907032 0.0050936304 0.010433441 0.009209338 0.0043006833 0.008066841 0.019113695 0.0019164019 0.001585894 0.0026835068 0.008827146 0.0023121953 0.00840143 0.016995996 0.031890616 0.006417022 0.0048678513 0.0062225256 0.01349778 0.011687468 0.005934181 0.009896196 0.022201156 0.0025529356 0.0021993057 0.003016735 0.011751393 0.0044203736 0.009099169 0.015905183 0.025182527 0.010425281 0.010867318 0.012504896 0.017276179 0.012397448 0.00959017 0.009962842 0.017006876 0.011026451 0.0085741645 0.008852988 0.014162877 0.009280064 0.012175749 0.014056788 976.0 11.202868 10934.0 0.037955 0.0012804097 0.004115603 0.002835193 0.0075910008 0.0015547832 0.0010060362 0.0050301813 0.0038412292 0.0023779038 0.0018291568 0.0030181087 0.0032010244 0.0024693615 0.006584964 0.0023779038 0.004389976 0.0031095664 0.0034753978 0.0034753978 0.003292482 0.008505579 0.0018291568 0.002194988 0.0026522772 0.0042070607 0.003292482 0.0042985184 0.0034753978 0.0018291568 0.002926651 0.0057618436 0.015456375 0.009603073 0.0031095664 0.008688495 0.0072251693 0.011798061 0.0059447596 0.0090543255 0.009877446 0.0072251693 0.0025608195 0.002286446 0.0064020487 0.0057618436 0.004572892 0.0038412292 0.017925736 0.0042985184 0.003932687 0.014541796 0.006219133 0.0040241447 0.010334736 0.013261386 0.0038412292 0.00338394 0.0024693615 0.0026522772 0.007133711 0.0025608195 0.0024693615 0.014450339 0.0072251693 0.040790197 0.011980977 0.029083593 0.026339857 0.0746296 0.011157856 0.0090543255 0.009511615 0.03301628 0.0104261935 0.005578928 0.030089628 0.012895555 0.036583137 0.050210353 0.015090543 0.0023779038 0.049661607 0.036125846 0.058533017 0.020029267 0.008779952 0.0048472653 0.006676422 0.010334736 0.0035668556 0.0012804097 0.0020120724 0.0021035303 0.002926651 0.004389976 5.785096 1.0 0.0 0.0 5.0 369152.0 425984.0 1.0 0.0 108.0 0.0 1.0 0.0 0.0 0.0 1415181300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 6.0 0.0 6.0 0.0 156160.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 54272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -156160.0 0.0 135168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8069696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.801146 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.9784064 0.0 5.7837687 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53782.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -156010.0 0.0 134744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 214996.0 134744.0 290816.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 164416.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 209176.0 0.0 0.0 452.0 163840.0 0.0 0.0 0.0 0.0


Input: 0.056671504 0.008304048 0.006172124 0.005652344 0.005755886 0.004966898 0.004203795 0.005416269 0.0050455895 0.0056192107 0.0037440697 0.004471968 0.004950331 0.0031714838 0.0043218327 0.0046314225 0.0050486955 0.003759601 0.0049316934 0.004170662 0.0043508243 0.003181838 0.0041064657 0.0038372572 0.0050776876 0.0033454339 0.0031683776 0.002929196 0.004139599 0.0034355153 0.003784451 0.0037885925 0.006170053 0.003821726 0.0034903924 0.003023419 0.004884064 0.004170662 0.003841399 0.003720255 0.0047308225 0.003896276 0.0033392215 0.003097969 0.0043684263 0.003720255 0.0037264675 0.003576332 0.005510492 0.003953224 0.0030927921 0.0028898502 0.0036736613 0.0030865795 0.0026827666 0.0028639648 0.004176874 0.0033123007 0.003514207 0.0033537173 0.0040112073 0.0032336088 0.0034976404 0.003457259 0.0065987157 0.0039490825 0.003620855 0.0032294672 0.0041572014 0.0032160068 0.0035380216 0.0030638003 0.0050031375 0.0037699551 0.0037109363 0.0035804736 0.004137528 0.0031259253 0.0035608008 0.0034634715 0.005159485 0.0036249966 0.003645705 0.0033340442 0.0039263032 0.0033816735 0.0033640715 0.0035369862 0.0046490245 0.003645705 0.0038010175 0.003506959 0.0041075014 0.0033796027 0.0036943697 0.003789628 0.005908092 0.0036353508 0.0033392215 0.0029519752 0.0040060305 0.0030513753 0.0032667422 0.0030337733 0.0049720746 0.0031590587 0.0031984046 0.003053446 0.003576332 0.0028536106 0.0030865795 0.0031932276 0.004519597 0.0032822734 0.00322429 0.0031342087 0.0038848864 0.0033330088 0.0032895214 0.0036312093 0.0046241744 0.0032915922 0.003476932 0.0031704484 0.004035022 0.0031932276 0.003471755 0.0033443985 0.008638488 0.0045972536 0.004015349 0.0035224904 0.004370497 0.0034344797 0.0030172067 0.0033920277 0.004541341 0.0038362218 0.002968542 0.0031901214 0.003729574 0.0027976981 0.0028411855 0.0029830378 0.005223681 0.0032108296 0.003496605 0.0030275607 0.0036695197 0.0031828734 0.0033040172 0.0032657068 0.004545483 0.0028349732 0.0030513753 0.002703475 0.0035131716 0.0032294672 0.0029840732 0.0031559526 0.0050217747 0.0034210193 0.0032677776 0.0028039105 0.003777203 0.0030192775 0.003048269 0.0031797672 0.0041333865 0.0029996044 0.003137315 0.003016171 0.0036529528 0.0028329024 0.002918842 0.0030389503 0.004667662 0.0031135003 0.0038434698 0.0028556813 0.0035670132 0.0031673422 0.0029882148 0.0031259253 0.0042576366 0.0031487045 0.0033340442 0.0031735545 0.0036570947 0.0032004754 0.0033371507 0.0033464693 0.0067095053 0.0040557305 0.0037212905 0.0033392215 0.004129245 0.003256388 0.003293663 0.0032294672 0.0043311515 0.0033288673 0.0031176421 0.0030845087 0.0036467405 0.0029851086 0.0030772607 0.0027987335 0.004246247 0.0032770964 0.0030990045 0.0029964983 0.0037150779 0.003016171 0.002941621 0.0029509398 0.0039760033 0.0031041817 0.0027221127 0.0026372084 0.0035359508 0.0029519752 0.0035877216 0.0028888148 0.0049617207 0.003251211 0.003387886 0.0029695774 0.003809301 0.0030720837 0.0032035818 0.0029074524 0.004441941 0.005450438 0.0034676131 0.0031362795 0.0037948051 0.003082438 0.0032481046 0.0031808026 0.0046065724 0.0033174776 0.003412736 0.0030368795 0.003741999 0.0030969337 0.0033154069 0.0032470692 0.0043497887 0.003043092 0.0031828734 0.0028650002 0.0040018884 0.0030907213 0.004226574 0.0045144204 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045800987 0.00029234673 0.0002736863 0.00026642947 0.00030582372 0.00023843882 0.0003296676 0.00030426867 0.00032603918 0.00035195643 0.00032500247 0.00035351148 0.00051938195 0.00015757697 0.00018815933 0.0007417521 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.099164635 0.062022604 0.062461123 0.0553204 0.06060856 0.05954543 0.05495652 0.05447498 0.060467567 0.053170823 0.052160047 0.05298318 0.05641618 0.05056406 0.056658767 0.05382342 4040.0 5.702475 23038.0 0.017275805 0.010547791 0.009462627 0.008724716 0.013456029 0.012457679 0.011849987 0.011459328 0.012631305 0.009723066 0.008594496 0.008681309 0.013846688 0.0105043845 0.011763174 0.009853286 0.016668113 0.0119368 0.008637902 0.007465926 0.00980988 0.008681309 0.007856585 0.00842087 0.010287351 0.008551089 0.009592847 0.008898342 0.011459328 0.0090719685 0.00954944 0.009202188 0.01810053 0.010808229 0.010330758 0.009028561 0.010808229 0.008854935 0.010721417 0.00829065 0.014237347 0.011676361 0.0097664725 0.008985155 0.011502734 0.009332407 0.011632955 0.009636253 0.014714819 0.009679659 0.009896693 0.0090719685 0.01206702 0.009375813 0.00954944 0.009723066 0.013629655 0.009289001 0.0105043845 0.009592847 0.011155482 0.009853286 0.010330758 0.01067801 0.017883496 0.010981856 0.009636253 0.008160431 0.013021964 0.008203837 0.009332407 0.00829065 0.015365917 0.009245594 0.008854935 0.008637902 0.011329109 0.008160431 0.009983505 0.007813178 0.013238996 0.0079868045 0.008681309 0.008724716 0.011415921 0.009506034 0.0083340565 0.008030211 0.011068669 0.008854935 0.0119368 0.008507683 0.011242296 0.008985155 0.010070318 0.008768123 6.554864 0.0 0.0 0.0 14.0 965794.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.14567721 0.0038547013 0.0021165488 0.012462366 0.004016773 0.0021653078 0.0014380446 0.0011921898 0.0046554464 0.013467074 0.0026007043 0.0008467569 0.0028293906 0.0024894516 0.00073069695 0.0023095242 0.0022181873 0.0008783472 0.0006283719 0.0003461196 0.0014325506 0.0014085146 0.00045119165 0.00038251712 0.0015630323 0.0010644551 0.00079456426 0.00085774483 0.0009545759 0.00092985306 0.00069704646 0.00080280524 0.04859272 0.0006187575 0.004488567 0.00069910666 0.0011111539 0.0008920821 0.007705969 0.0008701063 0.0019867541 0.0016653573 0.0010102023 0.0018308628 0.0042063147 0.0012903943 0.0036898823 0.002383693 0.002628861 0.0011818886 0.0012031777 0.0025807887 0.0012897076 0.001126949 0.0007348174 0.0006338659 0.0010383589 0.0014819963 0.00081035943 0.007304909 0.003884918 0.0016619236 0.0037022438 0.00086598576 0.003711858 0.0056065884 0.0042262306 0.002229862 0.0055681304 0.011729609 0.0035648947 0.0016838994 0.0019235734 0.003806629 0.001240262 0.0015225143 0.0025883429 0.0049349517 0.005092903 0.0046849763 0.0056065884 0.002133031 0.004006472 0.0054039983 0.0041101705 0.0044150855 0.0027586557 0.0018624532 0.0009710578 0.0022799943 0.0015183938 0.0009950938 0.0010665155 0.0027263786 0.0016701645 0.0014861168 0.0010438528 0.022589112 0.0027806317 0.0073632826 0.0073165842 0.021705272 0.0029832216 0.0049507464 0.0045359526 0.016625416 0.0044741454 0.0051478427 0.010222203 0.007041886 0.0140927 0.012489836 0.0047433497 0.0018082003 0.012578426 0.0101329265 0.017886966 0.01502736 0.0045139766 0.0020286455 0.0011406839 0.003113703 0.00267968 0.00054252875 0.00091680494 0.0018624532 0.0009923469 0.0006963597 0.00430864 0.0035387983 0.004575784 0.006187575 0.002380259 0.004451483 0.002140585 0.0022422234 0.0028053543 0.004980963 0.0018020195 0.015308926 0.0017244173 0.004459724 0.0009964674 0.0016317067 0.0021680547 0.0012018043 0.0011818886 0.0012780329 0.002049248 0.0025993309 0.0017814172 0.0013329725 0.0013906591 0.00230197 0.0010795635 0.0014421651 0.0016131647 0.0015170203 0.0013631893 0.0016028634 0.0014730686 0.0014627674 0.0011647199 0.0015438034 0.0054122396 0.0024139096 0.00068811874 0.00250456 0.001636514 0.0014874903 0.0017649353 0.00094564824 0.0011413706 0.0012622378 0.0010273709 0.0017477667 0.005715781 0.0032393774 0.0021852234 0.0018823688 0.0022944158 0.004092315 0.001377611 0.002030019 0.008392028 0.0028046677 0.0020210913 0.002644656 0.002312958 0.0038059424 0.003733834 0.002251151 0.0029461372 0.0012107319 0.0017608149 0.002315705 0.0038457734 0.0017752366 0.0011441176 0.0015644057 0.0008907086 0.0016138514 0.00030972212 0.0002733246 0.003955653 0.0004216616 0.0007842631 0.00046836026 0.03131421 0.011662308 0.001240262 0.0005226132 0.0004869024 0.0002458548 0.00032826423 0.0039893035 0.005990479 0.004294218 0.00034955333 0.00049789035 0.0006476008 0.0002973607 0.00029255348 0.0002444813 0.011925331 0.0012423221 0.00039487853 0.00037564966 0.001374864 0.0014895505 0.0011887561 0.0008673593 0.0063228635 0.0017532606 0.00061189005 0.0022793075 0.0036685932 0.00074717886 0.00035710755 0.00048758913 0.0017999593 0.0010459131 0.0004779747 0.00040861344 0.0012244668 0.00050475774 0.0009999011 0.0005487095 0.0017518871 0.00044363743 0.00033444495 0.0011427441 0.003213968 0.0007842631 0.0017175499 0.026344921 0.049261082 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013253348 1.0308542e-06 6.185125e-06 2.4053263e-06 1.7180903e-06 6.872361e-07 2.267879e-05 8.590451e-06 3.4361804e-07 0.0 0.0 0.0 0.0 0.0 1.8211756e-05 2.0273465e-05 0.021853764 3.4361806e-06 0.00041543422 0.00046044818 0.0006401604 0.00027317635 8.590451e-05 0.00010549074 2.0617083e-06 2.7489443e-06 1.7180903e-06 4.8106526e-06 1.7180903e-06 1.0308542e-06 4.1234165e-05 3.367457e-05 0.003711075 0.0001123631 0.000101710946 1.752452e-05 8.006301e-05 3.504904e-05 7.8688536e-05 2.6802209e-05 1.2713868e-05 5.4978887e-06 5.1542706e-06 4.8106526e-06 4.4670346e-06 5.8415067e-06 1.1339395e-05 9.277687e-06 0.0023644357 0.00012542059 2.47405e-05 5.0855473e-05 4.982462e-05 2.7145827e-05 3.4361805e-05 2.989477e-05 2.817668e-05 1.6493666e-05 1.4431958e-05 1.6837284e-05 6.185125e-06 8.934069e-06 8.246833e-06 8.934069e-06 0.004214819 8.8997076e-05 0.0004508269 5.0511855e-05 0.00018143033 6.563105e-05 0.0002494667 0.00011820461 5.8758687e-05 1.2026631e-05 1.6150048e-05 1.1683013e-05 1.4431958e-05 2.7833063e-05 2.7833063e-05 4.1234165e-05 0.0027939584 1.7868138e-05 0.0024331594 0.0002855466 0.00043158428 0.00026355503 0.006983006 0.002696371 1.2026631e-05 2.4053263e-06 3.0925626e-06 2.7489443e-06 1.2713868e-05 2.7489443e-06 8.590451e-06 0.00023640922 0.028691076 0.0003563319 0.013992127 0.0031128358 0.0041990126 0.0019376621 0.035544883 0.016140427 0.0014191426 0.00039825332 0.0004776291 0.0040217056 0.0012710432 0.0039516077 0.00020239103 0.0025104734 0.016620118 8.349919e-05 0.018395936 0.0038602052 0.00564427 0.0033451216 0.03166303 0.0146078905 0.0078066583 0.0044395453 0.004016208 0.017671246 0.0021403967 0.025503675 0.00236959 0.0008755388 0.009680408 0.00020891978 0.017622108 0.0037392515 0.012220432 0.0065795984 0.026832102 0.013031715 0.008364694 0.0065074386 0.011088898 0.013286335 0.0014328873 0.019955961 0.0083066225 0.003000473 0.008988361 0.0003144105 0.009487638 0.0036220779 0.009600001 0.004895183 0.019170795 0.009886922 0.0040354505 0.0032392873 0.0028499682 0.0044835284 0.0022043097 0.003399757 0.0049639065 0.0017507339 0.0063902647 0.0003236882 0.0048467326 0.0019624026 0.004167056 0.0020472764 0.0075352 0.0035636628 0.0027595966 0.0022053407 0.0017840649 0.003380858 0.0013442339 0.0029197226 0.0031186775 0.0016160357 0.0049848673 0.0005161143 0.0025417428 0.0011167587 0.0034866924 0.0023201092 0.0032100799 0.0017899064 0.004241621 0.0011322214 0.0012126281 0.0021184052 0.002499134 0.0017235881 0.0022170236 0.0028905151 0.019177323 0.005269039 0.005174544 0.0049639065 0.010515056 0.009056398 0.005955588 0.007362017 0.016882299 0.0028241968 0.0024493095 0.0022902144 0.006670657 0.0022682229 0.0068696123 0.014016868 0.02216474 0.0078004734 0.007372669 0.008672576 0.012738952 0.012028693 0.007824526 0.011109859 0.017788762 0.004989334 0.003623796 0.0033942591 0.007574716 0.0025489586 0.006824942 0.015548374 0.0004415492 0.00016459305 0.00019551867 0.00020032932 0.00017868138 0.00014328872 0.0002322858 0.0002188847 0.00014500682 0.00012920039 0.0001391653 0.0001161429 0.00010445989 0.00010927054 0.000105147126 0.00019139526 9545.0 45.255947 431968.0 0.10780891 0.0003680828 0.0040790057 0.000502352 0.0003171531 0.0008264501 0.016804485 0.0007361656 0.0021228425 0.0019746833 0.00026159346 0.00031020815 0.007989017 0.0017547596 0.007308412 0.0042873546 0.0020140382 0.001525576 0.002185347 0.0013195422 0.0018797689 0.0011389733 0.000851915 0.0011343433 0.0011181384 0.0013565819 0.0007431106 0.017216554 0.0087043485 0.0027432588 0.008854822 0.001173698 0.002201552 0.013028743 0.0073755463 0.005238814 0.008097822 0.015399288 0.006431032 0.0038544522 0.0033243203 0.010521613 0.0028497481 0.0037479629 0.0058314507 0.0037479629 0.013950108 0.013885288 0.0084080305 0.0014237165 0.008125602 0.013737129 0.010151215 0.0049448106 0.0036322135 0.002044133 0.00078709534 0.0022964664 0.00340766 0.0009630343 0.0009375694 0.0014306615 0.0013010222 0.0015765057 0.0013843618 0.06966488 0.007444996 0.021689106 0.020429755 0.06588914 0.005745796 0.013137547 0.009218276 0.04971896 0.0068199495 0.013994092 0.028386362 0.019818598 0.040035374 0.037632417 0.01192218 0.0039840913 0.036650863 0.02891418 0.0452765 0.033664532 0.010806356 0.004116046 0.0013149122 0.0077204793 0.00678291 0.00033104303 0.0003912327 0.00039817765 0.0003217831 0.00033104303 5.42751 0.0 19.0 0.0 3.0 1456144.0 1474560.0 0.0 0.0 401.0 0.0 1.0 1.0 0.0 0.0 1418865400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 294912.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 78336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -294912.0 0.0 1058304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8668804 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9764576 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.516626 0.0 6.4620357 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 78220.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -294446.0 0.0 1060864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 1.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 -1.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 2.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 2.0 -2.0 0.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 368560.0 984448.0 413696.0 0.0 0.0 7696.0 1374720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 340056.0 0.0 0.0 1648.0 299008.0 64.0 368384.0 0.0 0.0


Input: 0.34403935 0.023943866 0.021195022 0.008174189 0.01953125 0.006655093 0.014322917 0.0069444445 0.0065104165 0.0061487267 0.024305556 0.0033998843 0.0018807871 0.0028935184 0.0052083335 0.0007233796 0.0028211805 0.0067997687 0.0046296297 0.0033275464 0.002170139 0.002242477 0.0016637732 0.0023871528 0.0017361111 0.00094039354 0.00086805556 0.0017361111 0.0023871528 0.0013744213 0.0013744213 0.0012297453 0.013744213 0.0015914352 0.0026041667 0.00094039354 0.0007233796 0.0018807871 0.0013020834 0.0003616898 0.008101852 0.0011574074 0.0028935184 0.0015190972 0.002025463 0.0023871528 0.005859375 0.0010127315 0.003689236 0.0011574074 0.0007957176 0.0013020834 0.0013020834 0.0003616898 0.0010127315 0.00028935185 0.0007233796 0.001808449 0.0024594907 0.00021701389 0.0010127315 0.0015190972 0.0010127315 0.0007233796 0.0013744213 0.0028211805 0.00086805556 0.0029658566 0.0027488426 0.0053530093 0.004123264 0.0013020834 0.0015914352 0.0049913195 0.00043402778 0.0010127315 0.002170139 0.0017361111 0.0029658566 0.0031105324 0.0033275464 0.0005787037 0.0023871528 0.0067274305 0.0048466437 0.0016637732 0.0015914352 0.0018807871 0.0006510417 0.0014467592 0.0006510417 0.0003616898 0.0005787037 0.00028935185 0.00028935185 0.0037615742 0.00086805556 0.014756944 0.0026041667 0.009186922 0.010633681 0.034939237 0.002025463 0.005063657 0.0031105324 0.019458912 0.00021701389 0.002242477 0.011067708 0.010127314 0.01808449 0.026258681 0.011429398 0.0010850695 0.024233218 0.020543981 0.027922453 0.010489005 0.0023871528 0.0024594907 0.0049913195 0.004701968 0.0011574074 0.0049189813 0.0003616898 0.003616898 0.0015190972 0.00014467593 0.0026765047 0.0007233796 7.233796e-05 7.233796e-05 7.233796e-05 0.00028935185 0.0007233796 7.233796e-05 0.00043402778 0.0006510417 7.233796e-05 0.0015190972 0.00086805556 0.00028935185 0.00021701389 7.233796e-05 0.0003616898 0.0007233796 0.00021701389 0.00014467593 0.00028935185 0.00028935185 0.00028935185 7.233796e-05 0.0003616898 0.00021701389 0.0007233796 0.00043402778 0.00028935185 0.00014467593 0.00050636573 0.0 0.00043402778 0.00028935185 0.00043402778 0.0 7.233796e-05 0.00014467593 7.233796e-05 0.00050636573 0.00021701389 0.00021701389 0.00014467593 0.00014467593 0.00021701389 7.233796e-05 0.0 0.00014467593 0.00043402778 0.00021701389 0.00014467593 7.233796e-05 0.00028935185 0.00014467593 7.233796e-05 0.00021701389 0.00050636573 0.00021701389 0.00014467593 0.00050636573 0.00021701389 0.00021701389 0.0 0.00021701389 0.00021701389 0.00014467593 7.233796e-05 0.00043402778 0.00043402778 0.00050636573 7.233796e-05 0.0 7.233796e-05 0.0007957176 0.00014467593 0.00021701389 0.00014467593 0.00028935185 0.00014467593 0.00014467593 7.233796e-05 0.00021701389 0.00028935185 7.233796e-05 0.00014467593 0.00014467593 0.0 0.0 0.00021701389 0.00028935185 0.00021701389 7.233796e-05 0.00043402778 0.00021701389 0.002025463 7.233796e-05 0.00021701389 0.00021701389 0.0 7.233796e-05 0.00021701389 0.00014467593 0.00021701389 7.233796e-05 0.00021701389 0.0005787037 0.00014467593 7.233796e-05 0.00014467593 7.233796e-05 7.233796e-05 0.0003616898 0.0003616898 0.00014467593 0.00021701389 0.0 0.00014467593 0.0 0.0003616898 0.00014467593 7.233796e-05 0.0007957176 0.00021701389 0.00014467593 0.00021701389 0.00021701389 0.0003616898 0.0005787037 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.17114258 0.01949056 0.017781576 0.004231771 0.010457356 0.00793457 0.05147298 0.042236328 0.0015055338 0.0009358724 0.00032552084 0.0007324219 0.0007324219 0.0026855469 0.00036621094 0.0013020834 0.18774414 0.0160319 0.019327799 0.007975261 0.0081380205 0.00785319 0.044108074 0.032470703 0.003458659 0.0012207031 0.00081380206 0.0008951823 0.00069173175 0.0012207031 0.000773112 0.00061035156 0.0888265 0.003458659 0.006388346 0.0033772786 0.016235352 0.013224284 0.06453451 0.041503906 0.0030110676 0.0018717448 0.0013834635 0.0013020834 0.0016276041 0.0007324219 0.0011393229 0.0013834635 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03491211 0.0009358724 0.0021972656 0.001546224 0.0073242188 0.004679362 0.014282227 0.010050456 0.0014241537 0.0012613932 0.0008951823 0.000773112 0.0011393229 0.00028483072 0.0007324219 0.0008951823 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 230.0 14.773913 3398.0 0.016480282 0.00029429074 0.0064743967 0.00088287226 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001177163 0.0020600352 0.012360211 0.0017657445 0.0032371983 0.0017657445 0.0020600352 0.0029429076 0.0017657445 0.0005885815 0.001177163 0.0005885815 0.00088287226 0.00088287226 0.0017657445 0.0 0.003531489 0.0041200705 0.003531489 0.0005885815 0.00029429074 0.0064743967 0.001177163 0.0079458505 0.007357269 0.015891701 0.0038257798 0.002648617 0.002648617 0.013831666 0.0 0.0014714538 0.007062978 0.002354326 0.0079458505 0.0058858152 0.0064743967 0.0 0.0064743967 0.021777516 0.015008829 0.0041200705 0.0020600352 0.0055915243 0.0020600352 0.00088287226 0.00029429074 0.0 0.0 0.0 0.0 0.013243084 0.00029429074 0.04178929 0.0067686876 0.025603296 0.028546203 0.110653326 0.004708652 0.014714538 0.008240141 0.055326663 0.00029429074 0.0058858152 0.031194821 0.03413773 0.055915244 0.052089464 0.022071807 0.00088287226 0.061212476 0.053266626 0.08505003 0.026191877 0.0076515595 0.0044143614 0.009711595 0.014714538 0.002648617 0.0 0.0 0.0 0.0 0.00029429074 5.0862556 0.0 0.0 0.0 1.0 13824.0 32768.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1541534500.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 11776.0 512.0 8192.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11776.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.372351 0.0 4.284988 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11536.0 0.0 1280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1280.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 8192.0


Input: 0.22869226 0.026756668 0.009108653 0.013581652 0.0138256345 0.007400781 0.017648015 0.0045543266 0.0044729994 0.00593689 0.004310345 0.004066363 0.0025211452 0.0063435263 0.004066363 0.002846454 0.0034970723 0.0024398179 0.0012199089 0.0073194536 0.002846454 0.0015452179 0.0034970723 0.0027651268 0.0026837997 0.0013012362 0.0020331815 0.0024398179 0.0022771633 0.004960963 0.0015452179 0.0024398179 0.013093689 0.0014638907 0.002195836 0.0020331815 0.0020331815 0.0019518542 0.0015452179 0.0017891998 0.0027651268 0.0010572544 0.0039037084 0.004391672 0.0027651268 0.004066363 0.013500325 0.006506181 0.02732596 0.010572544 0.005204945 0.003741054 0.0042290175 0.0030091086 0.0017078725 0.0029277813 0.0026024724 0.0029277813 0.0029277813 0.0015452179 0.0013012362 0.0013012362 0.0009759271 0.0013825634 0.001870527 0.004960963 0.0009759271 0.0054489267 0.0039850357 0.001870527 0.0020331815 0.0030091086 0.0032530904 0.0031717632 0.0008132726 0.0013012362 0.0019518542 0.0019518542 0.0031717632 0.0022771633 0.0017078725 0.0013825634 0.0022771633 0.0075634355 0.0026837997 0.009027326 0.001870527 0.0027651268 0.0012199089 0.0013012362 0.0020331815 0.0015452179 0.0016265452 0.001870527 0.0012199089 0.0015452179 0.0015452179 0.011629798 0.0067501627 0.011467144 0.008702017 0.018867925 0.0032530904 0.004635654 0.004391672 0.013906961 0.0012199089 0.002195836 0.0082953805 0.00918998 0.009271308 0.016346779 0.00593689 0.0014638907 0.01276838 0.011711125 0.023259597 0.0039037084 0.0017891998 0.002195836 0.0013012362 0.008132726 0.0012199089 0.0008132726 0.0012199089 0.0010572544 0.0009759271 0.0010572544 0.0026837997 0.0017078725 0.005611581 0.0013825634 0.0011385817 0.0011385817 0.0061808717 0.0008132726 0.0013012362 0.0008132726 0.0008945999 0.0011385817 0.0008132726 0.0007319453 0.0008132726 0.0010572544 0.0008945999 0.0011385817 0.0012199089 0.0014638907 0.0012199089 0.00056929083 0.0013012362 0.00056929083 0.0008945999 0.0008132726 0.0013825634 0.0010572544 0.0010572544 0.0010572544 0.0011385817 0.0012199089 0.0025211452 0.0014638907 0.0015452179 0.0015452179 0.0016265452 0.0008132726 0.0014638907 0.0011385817 0.0012199089 0.0011385817 0.0014638907 0.0014638907 0.0010572544 0.0010572544 0.0015452179 0.0009759271 0.0013825634 0.0013825634 0.0013825634 0.0008945999 0.0032530904 0.0008945999 0.0013012362 0.0008132726 0.0013825634 0.0008945999 0.0008132726 0.0013012362 0.0015452179 0.0017891998 0.0011385817 0.0010572544 0.00048796355 0.0013012362 0.0015452179 0.0020331815 0.0015452179 0.0013825634 0.0008945999 0.0013012362 0.0017078725 0.0008945999 0.0012199089 0.0008132726 0.0014638907 0.0017078725 0.0017891998 0.0012199089 0.0008945999 0.00056929083 0.0012199089 0.0009759271 0.0012199089 0.0009759271 0.0009759271 0.0015452179 0.0010572544 0.0013825634 0.0008945999 0.0015452179 0.0017078725 0.0017078725 0.0013012362 0.0008132726 0.0009759271 0.0012199089 0.0010572544 0.0009759271 0.0013825634 0.00048796355 0.0013012362 0.0012199089 0.0013012362 0.0011385817 0.001870527 0.0009759271 0.0008945999 0.0008945999 0.0008945999 0.0016265452 0.0009759271 0.0010572544 0.00056929083 0.0008945999 0.0012199089 0.0008132726 0.0008945999 0.003415745 0.0010572544 0.0006506181 0.0009759271 0.0011385817 0.0014638907 0.0008132726 0.0011385817 0.0022771633 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.066139914 0.00026633524 0.0022194602 0.0030628552 0.002574574 0.0015092329 0.010253906 0.004305753 0.00013316762 0.0 8.877841e-05 8.877841e-05 0.0 4.4389206e-05 0.00017755682 4.4389206e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.053222656 0.0008877841 0.003950639 0.0039950283 0.0033735796 0.002574574 0.013139204 0.0059481533 0.00039950284 0.00044389206 0.00044389206 0.0007102273 0.00075461646 0.00031072443 0.00039950284 0.00035511365 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.09082031 0.005637429 0.008212003 0.008300781 0.0072354404 0.005637429 0.024280895 0.015625 0.0027077415 0.0016867898 0.0020862927 0.0018643466 0.0020862927 0.0015536222 0.0017755682 0.0023082385 0.034135297 0.0014648438 0.004572088 0.0036399148 0.0044389204 0.0033291904 0.019975143 0.012384588 0.0006658381 0.0010209517 0.0007990057 0.00075461646 0.0012428977 0.0008433949 0.0008433949 0.0007990057 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.085715555 0.030229049 0.038174715 0.048783734 0.020907314 0.02459162 0.05925959 0.037064984 0.020019531 0.011274858 0.015092329 0.014160156 0.013183594 0.012073863 0.011408025 0.012606534 0.017089844 0.0059481533 0.007768111 0.007990057 0.003462358 0.004572088 0.01060902 0.0066139917 0.0042613638 0.0026633523 0.0035955256 0.0029740767 0.003684304 0.0035511365 0.0032404119 0.0028852983 146.0 20.109589 2936.0 0.035081744 0.0013623978 0.0010217984 0.0013623978 0.0030653952 0.0010217984 0.0010217984 0.0017029973 0.0023841963 0.00034059945 0.0027247956 0.0030653952 0.0034059945 0.0091961855 0.03746594 0.021798365 0.048024524 0.026566757 0.01260218 0.008174387 0.008174387 0.0061307903 0.0023841963 0.003746594 0.0040871934 0.004427793 0.007493188 0.0010217984 0.0010217984 0.0010217984 0.0010217984 0.0013623978 0.0006811989 0.014305177 0.00034059945 0.013623978 0.007833787 0.0017029973 0.0020435967 0.008855586 0.0006811989 0.0047683925 0.0 0.00034059945 0.0006811989 0.0034059945 0.0047683925 0.0034059945 0.0010217984 0.0 0.0027247956 0.018051771 0.0064713894 0.0010217984 0.0013623978 0.004427793 0.0 0.0010217984 0.003746594 0.0 0.0040871934 0.0017029973 0.0010217984 0.0010217984 0.00034059945 0.03712534 0.016008174 0.03814714 0.029972753 0.059945505 0.0061307903 0.013964578 0.013283378 0.04325613 0.0010217984 0.003746594 0.020776566 0.028610354 0.025885558 0.05551771 0.020095367 0.0 0.041212533 0.036444142 0.08072207 0.011920981 0.0030653952 0.0040871934 0.0013623978 0.02554496 0.0020435967 0.00034059945 0.0 0.00034059945 0.0006811989 0.0 5.3894005 0.0 18.0 0.0 3.0 12296.0 32768.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1505344900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 2560.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.510089 0.0 3.4090989 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2260.0 0.0 1344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 10364.0 1344.0 16384.0 0.0 0.0 7176.0 5120.0 12.0 24576.0 28.0 10052.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0