Input: 0.33639598 0.02596592 0.0073528495 0.0029960677 0.030023094 0.0059297173 0.0020847637 0.005218151 0.015404781 0.0020847637 0.013170214 0.004344298 0.0061169714 0.0063416767 0.0021846327 0.002783846 0.008039448 0.0027963298 0.002596592 0.0014980339 0.0062792585 0.0011609762 0.003470445 0.000811435 0.005130766 0.0015105174 0.004219462 0.00087385305 0.0063416767 0.00093627116 0.002371887 0.00078646775 0.0056425943 0.001460583 0.0014730666 0.009974409 0.006166906 0.004344298 0.0011484926 0.0030959365 0.0071156607 0.0005367955 0.0026964608 0.0015604519 0.005967168 0.0007739841 0.0008988203 0.003570314 0.0058922665 0.0026964608 0.0035952812 0.0015729355 0.0017976406 0.005417889 0.0036202485 0.0014106486 0.0022595343 0.0014855502 0.00084888586 0.0002496723 0.0037950191 0.001722739 0.0006741152 0.0002496723 0.015879158 0.0031084202 0.0027713627 0.00092378753 0.0045190686 0.0038948879 0.003957306 0.0026090755 0.0058548157 0.00074901694 0.0009487548 0.0013607141 0.009038137 0.0035578304 0.0014356157 0.0028462643 0.003270707 0.0028961988 0.002596592 0.0007365333 0.004381749 0.0023219525 0.0006616316 0.00056176266 0.0031833218 0.0027463953 0.0017601898 0.00028712314 0.0053929216 0.000649148 0.0011609762 0.000649148 0.0032582236 0.0007240497 0.00043692652 0.0034954122 0.0044941013 0.00083640224 0.0013357468 0.00039947568 0.0031833218 0.0010985582 0.0005742463 0.0011734598 0.011647213 0.00044941014 0.00097372197 0.004631421 0.0041320766 0.0048186756 0.0010236565 0.0013357468 0.008551276 0.00048686098 0.0035203795 0.0024842394 0.0043318146 0.00034954122 0.0004743774 0.00027463955 0.0007739841 0.00028712314 0.00034954122 0.00046189377 0.003994757 0.00034954122 0.00046189377 0.00036202485 0.00093627116 0.0003120904 0.00034954122 0.00029960676 0.00079895137 0.00052431185 0.00034954122 0.0005742463 0.0006865988 0.00034954122 0.001722739 0.0007615005 0.0006366644 0.00022470507 0.00042444293 0.000649148 0.0007365333 0.0002371887 0.00037450847 0.00037450847 0.00042444293 0.00039947568 0.00039947568 0.00027463955 0.00042444293 0.00034954122 0.0022095998 0.0003120904 0.0017477061 0.0008988203 0.0006366644 0.00074901694 0.0006241808 0.00022470507 0.0002371887 0.0003370576 0.00044941014 0.00042444293 0.0007615005 0.00074901694 0.0005742463 0.0004743774 0.00029960676 0.0004119593 0.00061169715 0.00039947568 0.00029960676 0.0003120904 0.0005367955 0.00039947568 0.00021222146 0.0006241808 0.0014106486 0.00037450847 0.00097372197 0.00026215593 0.0005992135 0.00027463955 0.0002371887 0.00046189377 0.0015979027 0.00207228 0.00034954122 0.0010111729 0.000649148 0.00037450847 0.0005367955 0.0013232632 0.0007615005 0.00042444293 0.00038699206 0.0003120904 0.0009487548 0.0003120904 0.00034954122 0.00048686098 0.0010985582 0.00014980338 0.00021222146 0.0004119593 0.0004743774 0.00027463955 0.00029960676 0.00028712314 0.0005867299 0.00026215593 0.000324574 0.00034954122 0.00044941014 0.0002371887 0.00029960676 0.0002371887 0.0013607141 0.00037450847 0.0002496723 0.0003370576 0.0015354847 0.00027463955 0.0003120904 0.000811435 0.002596592 0.0003370576 0.00028712314 0.0022095998 0.0018725423 0.00014980338 0.00038699206 0.0004993446 0.001298296 0.000324574 0.0016603208 0.00036202485 0.009250359 0.017389676 0.00038699206 0.0017726733 0.00097372197 0.0003120904 0.0004119593 0.007240497 0.0034329942 0.005667561 0.013819362 0.08536296 0.025974026 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.023691153 0.0001712155 0.0001712155 3.1706575e-05 0.000114143666 0.000114143666 0.00022828733 9.511972e-05 0.00022194603 0.0 2.536526e-05 4.4389206e-05 5.7071833e-05 3.1706575e-05 5.7071833e-05 0.00091949065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04469359 0.002739448 0.0018453227 0.0012302151 0.010406097 0.00390625 0.0038301542 0.0036399148 0.00069120334 0.0003043831 0.00032974838 0.00052632915 0.0005136465 0.00029170047 0.00072925125 0.0022448255 0.019607347 0.0021814124 0.0027267653 0.0012302151 0.0018580053 0.0016297179 0.0013253348 0.00095119723 0.00021560471 0.0 1.9023944e-05 3.1706575e-05 2.536526e-05 1.268263e-05 0.0001712155 0.0069754464 0.15735339 0.0199688 0.023646763 0.01673473 0.01779373 0.007869571 0.009328074 0.008731991 0.0015155743 0.00061510754 0.0010019278 0.00056437706 0.001008269 0.00043120942 0.003386262 0.06771256 0.108303316 0.011864601 0.013050426 0.0065315543 0.010228541 0.0071530035 0.01036805 0.008433949 0.0031833402 0.0020292208 0.0020038555 0.0009765625 0.002777496 0.00056437706 0.0023082385 0.043989703 0.06651405 0.0076793325 0.009188565 0.0059925425 0.0102412235 0.005491579 0.007083249 0.005732549 0.0026760348 0.0015219155 0.0017692269 0.001490209 0.0028345678 0.00085607753 0.0030882205 0.02368481 0.014014306 0.0011604606 0.0025618912 0.0024984782 0.005776938 0.0022131188 0.0021179991 0.0013316761 0.00053267047 0.00057705963 0.0007672991 0.0010907062 0.001008269 0.0005136465 0.0002980418 0.0024984782 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0077490867 0.0015599634 0.0015789875 0.0015663048 0.0057896203 0.002980418 0.0027457895 0.0030184658 0.0016233766 0.0013824067 0.0015536222 0.0013189935 0.0015726461 0.0013443588 0.0014014306 0.0017755682 0.0017692269 0.0015409396 0.0017819095 0.0014965503 0.0016170354 0.0016867898 0.0014775264 0.0016043527 0.0017184963 0.0015726461 0.0016994724 0.0014775264 0.0016677658 0.001471185 0.0017121551 0.0016804484 140.0 28.607143 4005.0 0.002247191 0.0004993758 0.0002496879 0.0007490637 0.0004993758 0.0002496879 0.0004993758 0.0002496879 0.0004993758 0.0002496879 0.0007490637 0.0004993758 0.0 0.0 0.0032459425 0.0017478153 0.0019975032 0.004494382 0.0057428214 0.0049937577 0.0037453184 0.004494382 0.0059925094 0.002247191 0.0014981274 0.002247191 0.0002496879 0.0002496879 0.0002496879 0.0002496879 0.0 0.0004993758 0.0014981274 0.0014981274 0.041947566 0.0019975032 0.0017478153 0.062421974 0.059925094 0.04144819 0.018476903 0.0017478153 0.0017478153 0.0034956306 0.059925094 0.041947566 0.0034956306 0.043196004 0.0057428214 0.045443196 0.0017478153 0.0029962547 0.043196004 0.037203494 0.002746567 0.0017478153 0.0009987516 0.040449437 0.0014981274 0.0004993758 0.0014981274 0.0007490637 0.0012484394 0.0034956306 0.0004993758 0.0057428214 0.0024968788 0.06142322 0.004494382 0.007990013 0.0009987516 0.0029962547 0.002247191 0.0024968788 0.0007490637 0.002247191 0.0062421975 0.0029962547 0.0049937577 0.08564295 0.0019975032 0.06142322 0.0059925094 0.010736579 0.045692883 0.002247191 0.0009987516 0.04169788 0.0012484394 0.0012484394 0.0012484394 0.0004993758 0.0007490637 0.0 0.0004993758 0.0004993758 4.9619746 0.0 1.0 0.0 1.0 80105.0 90112.0 0.0 0.0 7.0 0.0 1.0 0.0 0.0 0.0 1260452400.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 69632.0 4096.0 4096.0 3.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3585353 0.0 2.2639349 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -68297.0 0.0 1532.0 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 -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 -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 -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 -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 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 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 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 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 -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 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 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 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 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 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 -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 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 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 -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 40.0 71428.0 1532.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 216.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.13345498 0.0067331414 0.0049085114 0.0033408718 0.005182634 0.0026469983 0.0024813826 0.0034036916 0.009534334 0.0049913195 0.0056766267 0.0046972083 0.008957534 0.0069587217 0.006293403 0.010933503 0.010462354 0.0033580044 0.0034094024 0.0034779331 0.0041403966 0.0035007766 0.003880551 0.0042603253 0.006319102 0.0014962537 0.0013334933 0.0020016676 0.002344321 0.0013649032 0.00150482 0.0017732319 0.004291735 0.002247236 0.0017532437 0.0034922103 0.011093407 0.0020730537 0.0016704359 0.0022301034 0.002395719 0.0013734695 0.0010736476 0.0026812637 0.0017989309 0.0033380163 0.0014362893 0.0011878655 0.0025641904 0.0010593705 0.0015019645 0.0033779924 0.0014448556 0.001133612 0.0009794179 0.0011878655 0.0017275448 0.0016675805 0.0011421783 0.002895422 0.009325886 0.001530519 0.0014905428 0.0025470578 0.0027041072 0.0024928043 0.008103755 0.0010964912 0.0023214775 0.0055938186 0.006393343 0.0013249269 0.002766927 0.0015533626 0.0014362893 0.0010679368 0.0016190378 0.0027041072 0.0012392636 0.0010022615 0.00332945 0.0018303408 0.0011193348 0.0020330774 0.0011564556 0.0024728163 0.002535636 0.0024157073 0.0013677586 0.0031524124 0.0012592516 0.0014905428 0.0013106497 0.0029439647 0.0022815012 0.0023072003 0.0018646062 0.0023728756 0.0013563368 0.0017589547 0.0017989309 0.00332945 0.0035635964 0.0011964318 0.0021787053 0.0019102934 0.0033608598 0.0016932794 0.0019816794 0.0016247487 0.0022072596 0.0025070815 0.001973113 0.0013420596 0.002715529 0.0026669865 0.006664611 0.0070158304 0.0017332557 0.0015733507 0.0020016676 0.001556218 0.0015876279 0.0012706735 0.0034493788 0.009757059 0.0026298657 0.0034236796 0.003772044 0.0028725786 0.0021815607 0.008292215 0.0032609191 0.0057223137 0.001293517 0.0020159448 0.002412852 0.0061135096 0.0017332557 0.019965278 0.0016932794 0.004508749 0.0015733507 0.0012364081 0.0069044684 0.0019445587 0.0013677586 0.001613327 0.0016247487 0.0016818576 0.0011735882 0.0011536002 0.0025527687 0.0011478893 0.0011164794 0.0012706735 0.0014505666 0.0015961942 0.0011678773 0.0016418814 0.0022529468 0.0017304003 0.0013677586 0.001453422 0.0014505666 0.0014762655 0.0010679368 0.00087662187 0.0019931013 0.001267818 0.0010850695 0.0011650219 0.0016475923 0.0010879249 0.0012792398 0.0010622259 0.002195838 0.0009651407 0.0011136238 0.0013877467 0.0011393229 0.0010536596 0.0013934576 0.0016704359 0.0015276636 0.0015476517 0.001262107 0.001370614 0.0011564556 0.001659014 0.0013277824 0.0013563368 0.005328262 0.0028126142 0.0021615725 0.003974781 0.0021501507 0.0015419408 0.0024242736 0.0026212994 0.002555624 0.002272935 0.0016276041 0.0013477704 0.0067160088 0.0013877467 0.0015933388 0.0016704359 0.0017389666 0.0016904239 0.0019217151 0.0016190378 0.0013620477 0.0008823328 0.001293517 0.0011764438 0.0017475329 0.0017560993 0.001530519 0.0021101746 0.0018103527 0.002895422 0.0032809074 0.0013734695 0.0022215368 0.0016276041 0.001242119 0.0014876873 0.0019816794 0.0016218933 0.0015333744 0.0014105903 0.011653075 0.0021815607 0.0012992279 0.003689236 0.0032437865 0.0013991685 0.0018474736 0.0014591329 0.0034950657 0.0028354577 0.0021215964 0.002484238 0.0031923885 0.0030753152 0.003689236 0.0029439647 0.0044088084 0.0021273072 0.002170139 0.002587034 0.0038519965 0.002849735 0.03476791 0.15365155 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026791033 5.7276393e-06 7.159549e-06 8.591459e-06 0.0 2.1478647e-05 1.4319098e-06 1.1455279e-05 9.736987e-05 1.4319098e-06 0.0 0.0 4.2957295e-06 0.0 5.7276393e-06 8.877841e-05 0.0025258888 1.4319098e-05 7.159549e-06 8.7346496e-05 0.0 0.0 8.877841e-05 5.7276393e-06 0.00012600806 1.4319098e-06 0.0 0.0 5.7276393e-06 0.0 4.2957295e-06 6.5867855e-05 0.00032074781 0.0 0.0 2.8638196e-05 0.0 2.8638196e-06 0.00011025705 0.00028638195 0.00045391542 0.0004782579 0.00052837475 0.00057705963 0.00034652217 0.00035511365 0.0012171234 0.021687707 0.0048641977 5.7276393e-05 5.1548755e-05 0.00019903546 7.159549e-06 0.00023912895 0.00052837475 0.0005212152 0.00085341826 0.00085485016 0.0008390992 0.00092930946 0.0009636753 0.001159847 0.0016595835 0.0331931 0.014573978 0.00044675588 0.00064292754 0.0002462885 0.00026490333 0.00019187592 0.0018428679 0.0010553176 0.00052980665 0.00064722326 0.00029926916 0.00024056085 0.00013459953 0.000115984694 0.00050689606 0.0075862585 0.013232279 0.0006114255 0.00085055444 0.0003794561 0.00073456974 0.000730274 0.0015435988 0.0014362056 0.0004940089 0.0005369662 0.00032790736 0.00023626511 0.0002491523 0.00031502015 0.0005126237 0.010067758 0.010985612 0.0014963457 0.0009307414 0.00060283404 0.001523552 0.00050546415 0.0017898873 0.0016438324 0.00067586143 0.0013860887 0.0004653707 0.0004496197 0.00038375185 0.0008820564 0.001381793 0.013020356 0.034258444 0.008641575 0.009172814 0.0015063691 0.0026862628 0.0017999107 0.004894268 0.010785145 0.0024371105 0.0032490033 0.0031072444 0.0015464626 0.0023082385 0.0029110727 0.0019774674 0.03188577 0.035540003 0.014037012 0.0071996427 0.0018285488 0.002318262 0.0020232885 0.0042656595 0.0067414315 0.00460359 0.0025502313 0.0028380454 0.0038189036 0.0034480388 0.0055815843 0.00244427 0.03565885 0.015471785 0.008197684 0.0055644014 0.003206046 0.0030041467 0.0010739324 0.0021994135 0.0035540003 0.005570129 0.0024142 0.0014247503 0.0018629147 0.0020075375 0.0026619204 0.0016910855 0.025140041 0.006555283 0.0015464626 0.0016896536 0.0013388357 0.0015908518 0.0006729976 0.0013273804 0.0012242829 0.0035139066 0.0010080645 0.0007116592 0.00090783084 0.0012844232 0.0005212152 0.0009894497 0.0073757675 0.019960823 0.0033177352 0.0028938898 0.0035038833 0.004605022 0.004524835 0.0032117737 0.0051133498 0.01063193 0.00149205 0.0013202209 0.0016753345 0.0052508134 0.0016910855 0.004350142 0.0115011 0.035436906 0.0073113316 0.006178691 0.0069161244 0.012364541 0.013445633 0.005830737 0.010656273 0.023794046 0.003619868 0.0035296576 0.0028623878 0.012809865 0.0050059566 0.011241924 0.020814242 0.022430867 0.009048238 0.00899669 0.015796829 0.014409308 0.007854026 0.0070936815 0.008411039 0.015013575 0.011243356 0.006923284 0.007002039 0.013040403 0.007016358 0.011993676 0.012612262 718.0 9.760446 7008.0 0.036672376 0.004423516 0.006992009 0.0035673515 0.0105593605 0.004423516 0.0048515983 0.007990868 0.0057077627 0.0032819635 0.0035673515 0.00456621 0.0047089043 0.0031392693 0.01369863 0.0037100457 0.0061358446 0.0037100457 0.003995434 0.004138128 0.0032819635 0.001997717 0.002283105 0.002140411 0.0034246575 0.004280822 0.004138128 0.0052796802 0.018122146 0.004138128 0.004280822 0.008847032 0.0077054794 0.0102739725 0.0061358446 0.011130137 0.0058504567 0.0077054794 0.017979452 0.008276256 0.006421233 0.007848173 0.0024257991 0.0017123288 0.0057077627 0.0055650687 0.0051369863 0.0025684931 0.020833334 0.006849315 0.0075627854 0.013270548 0.009275114 0.003995434 0.012414384 0.011558219 0.00913242 0.0038527397 0.00456621 0.0037100457 0.0049942923 0.003995434 0.003995434 0.00984589 0.007990868 0.037385844 0.007990868 0.025399543 0.021546803 0.060502283 0.0108447485 0.009560502 0.009560502 0.028966894 0.010987443 0.004423516 0.026113013 0.011272831 0.029965753 0.037385844 0.012271689 0.004280822 0.045091324 0.026541095 0.052939497 0.017265981 0.0105593605 0.0049942923 0.008847032 0.009275114 0.0049942923 0.001997717 0.0037100457 0.0037100457 0.0038527397 0.0054223742 6.0190215 1.0 0.0 0.0 5.0 350208.0 507904.0 1.0 0.0 84.0 0.0 1.0 0.0 0.0 0.0 1475493500.0 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 14.0 0.0 6.0 0.0 6.0 0.0 134656.0 1024.0 4096.0 5.0 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 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -135168.0 0.0 181760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2412415 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0327466 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.428793 0.0 5.9489365 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28558.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -148936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -134810.0 0.0 181440.0 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 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 -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 0.0 0.0 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 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 -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 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 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 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 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -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 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 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 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 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 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 -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 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 -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 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 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 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 1.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 165860.0 181440.0 323584.0 0.0 0.0 0.0 0.0 0.0 0.0 84.0 162032.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 162120.0 0.0 0.0 352.0 139264.0 0.0 0.0 0.0 0.0


Input: 0.14288506 0.0036427896 0.0031782144 0.0031608471 0.003165189 0.002943756 0.002948098 0.0029784907 0.00319124 0.0030045416 0.002922047 0.0031738726 0.0032824182 0.002700614 0.010033953 0.0032172909 0.0033258365 0.0026919304 0.002700614 0.002722323 0.0029307306 0.009881989 0.0025877266 0.00230985 0.0028135013 0.0028395522 0.0027266648 0.0027353484 0.0031999236 0.003021909 0.0028048176 0.0028525777 0.0038077787 0.0027396902 0.0035776622 0.002969807 0.0031478216 0.0027527157 0.0028004758 0.0024618136 0.002678905 0.0025225992 0.0025443083 0.002748374 0.003113087 0.0027570575 0.010025269 0.0026094357 0.004046579 0.011067307 0.004194201 0.004189859 0.003907641 0.0034517492 0.003113087 0.0033301783 0.0034300403 0.0033258365 0.0033996475 0.0031565053 0.004163808 0.0034170148 0.0034430656 0.0031261125 0.0042593284 0.003707917 0.003529902 0.0031261125 0.0041594664 0.003456091 0.010802456 0.0033258365 0.010398666 0.003260709 0.0031000616 0.0029784907 0.0034430656 0.0034951675 0.010468136 0.0032520255 0.0033345202 0.0036948915 0.0029003378 0.002822185 0.0028352104 0.0031261125 0.0027831085 0.0028742868 0.002969807 0.0027527157 0.0027092977 0.0026354867 0.0034430656 0.010459452 0.002796134 0.0026094357 0.0029046796 0.003069669 0.0027049559 0.0029567815 0.0102467025 0.0036037131 0.0026224612 0.002770083 0.002817843 0.0031738726 0.0028004758 0.0025703593 0.0033258365 0.0024574718 0.0029567815 0.002943756 0.002700614 0.0026875886 0.00328676 0.0030740106 0.003390964 0.0030740106 0.0027613994 0.002552992 0.0026658794 0.002574701 0.0025182574 0.0025312828 0.0032172909 0.0032693928 0.002948098 0.002848236 0.0033171528 0.003139138 0.0022056461 0.009855938 0.00250089 0.0027092977 0.0026354867 0.0023576098 0.0024922064 0.0025877266 0.0026137775 0.0031565053 0.009803836 0.003212949 0.0024661554 0.0023576098 0.0025703593 0.0025486501 0.0025616756 0.0024618136 0.0022794572 0.0025573338 0.0021665697 0.0019321112 0.002353268 0.0022881408 0.0024878646 0.0026571958 0.0024401045 0.002283799 0.0025139155 0.002600752 0.0024922064 0.002579043 0.0031261125 0.002995858 0.0025052319 0.00240537 0.0024574718 0.0023880026 0.009365313 0.002283799 0.002031973 0.0020884168 0.002283799 0.0024878646 0.003069669 0.0025095737 0.0025964102 0.002579043 0.0023880026 0.0021795952 0.0024704973 0.002526941 0.002379319 0.0025356247 0.0026050939 0.009578061 0.0023706353 0.0028352104 0.0026658794 0.002626803 0.0022881408 0.009486883 0.00319124 0.0028135013 0.0026702213 0.0031087452 0.00230985 0.0021795952 0.0026094357 0.0025877266 0.002943756 0.0026571958 0.0024183954 0.0024661554 0.0024922064 0.0025964102 0.0027136393 0.0026224612 0.0027874503 0.0026615376 0.002374977 0.009486883 0.0025616756 0.0023489262 0.0025573338 0.0023662935 0.002917705 0.0026311448 0.0025095737 0.009469516 0.009673581 0.0029654652 0.0024835228 0.002335901 0.0030305926 0.002717981 0.002335901 0.009491225 0.0026485121 0.002331559 0.002331559 0.0026398285 0.002770083 0.003186898 0.0027787667 0.0028135013 0.0026919304 0.00240537 0.0025486501 0.002922047 0.0024444463 0.0024704973 0.0022707735 0.002136177 0.009417414 0.002209988 0.0023966862 0.0025182574 0.0027310066 0.00240537 0.00245313 0.002374977 0.0025312828 0.0024661554 0.0028135013 0.006777586 0.09417041 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010704964 0.00014670333 0.00020144338 9.4152885e-05 0.00029997548 5.0360846e-05 0.00017735777 0.0003196819 0.00045543723 4.1602438e-05 0.00018830577 5.6929654e-05 0.00026275223 6.349846e-05 0.00029121706 9.853209e-05 0.007692072 0.0 2.1896021e-06 0.0074249404 0.0072475825 2.1896021e-06 4.1602438e-05 1.094801e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014626541 2.4085622e-05 3.0654428e-05 0.0019925379 0.0006196574 1.094801e-05 7.882567e-05 8.101528e-05 6.568806e-06 1.094801e-05 2.8464827e-05 1.9706418e-05 1.3137612e-05 0.0 8.539448e-05 1.9706418e-05 0.0037398404 6.787766e-05 8.758408e-05 0.0011145074 0.001469223 0.00019268498 0.0010860426 0.0005517797 6.1308856e-05 9.853209e-05 8.539448e-05 6.787766e-05 0.000105100895 8.539448e-05 5.2550447e-05 0.0001029113 0.0036194122 0.00052988366 0.00017954737 0.0002233394 0.0007794983 0.0003350091 0.0016991312 0.00084299676 0.000120428114 9.196329e-05 9.634249e-05 6.1308856e-05 0.0001072905 7.444647e-05 8.101528e-05 0.00012699692 0.0053732833 9.4152885e-05 0.0004357308 0.0003174923 0.00091744325 0.0005057981 0.00083861756 0.000225529 0.00048390205 0.00024304583 0.0004488684 1.7516817e-05 0.0004379204 0.00030216508 0.0005846237 0.0022268253 0.006689234 0.0014998774 0.00080358394 0.002564024 0.0013247093 0.0005474005 0.0014998774 0.0018786786 0.0011145074 0.00028026907 0.00041821398 0.0004116452 0.0006612598 0.00059776136 0.0013268988 0.00080358394 0.0022355837 0.00029559628 0.0006962934 0.00052331487 0.0007751191 0.0012371251 0.00040288677 0.0003371987 0.00068534544 0.00012480731 0.00012699692 0.00035909473 0.00025837304 0.00016640975 0.00017516816 0.00056929654 0.011136316 0.0061484026 0.006295106 0.0061243167 0.017035104 0.006487791 0.0063454667 0.0010181649 0.013450725 0.00048171246 0.006073956 0.011791007 0.0017429232 0.01727158 0.006562237 0.0075957295 0.047763977 0.04347017 0.04463504 0.044650365 0.04655094 0.04549117 0.04186081 0.040840458 0.041230205 0.03736118 0.039690915 0.041455735 0.03883697 0.0437373 0.04061493 0.038939882 1597.0 7.0244207 11218.0 0.0052594044 0.0046354076 0.021929042 0.004813692 0.005705117 0.0062399716 0.010875379 0.004813692 0.0054376894 0.0049028345 0.005348547 0.0049028345 0.00472455 0.004991977 0.0076662507 0.004813692 0.020235335 0.021215903 0.022820467 0.020948475 0.019789623 0.013727937 0.011855946 0.012390801 0.012658228 0.011766803 0.010340524 0.012123373 0.027812444 0.012658228 0.011677661 0.0094491 0.011142806 0.018006776 0.013193083 0.0131039405 0.023355322 0.014441077 0.013282225 0.015421644 0.013014798 0.014708504 0.008825103 0.0100730965 0.014797647 0.012034231 0.014708504 0.009716527 0.010697094 0.022374755 0.0076662507 0.007933678 0.0057942593 0.005705117 0.007309681 0.006507399 0.0082011055 0.005526832 0.0064182566 0.005526832 0.012390801 0.0134605095 0.005348547 0.005526832 0.0052594044 0.013906222 0.0060616867 0.010340524 0.012569086 0.027366731 0.005170262 0.007577108 0.0062399716 0.015065074 0.005972544 0.0049028345 0.015065074 0.0072205383 0.012034231 0.0134605095 0.0064182566 0.0050811195 0.015243359 0.010964521 0.015599929 0.009003388 0.0050811195 0.00472455 0.0052594044 0.007844536 0.00436798 0.0041005528 0.0052594044 0.0050811195 0.008111963 0.0049028345 6.393752 0.0 0.0 0.0 6.0 230318.0 323584.0 0.0 0.0 96.0 0.0 1.0 0.0 0.0 0.0 933252860.0 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 5.0 0.0 6.0 4.0 5.0 0.0 4.0 0.0 10240.0 1024.0 4096.0 5.0 0.0 0.0 3.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -94720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -126464.0 0.0 3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7264667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.2894754 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.884458 0.0 3.7398207 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -159744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24113.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -129024.0 0.0 3384.0 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 -2.0 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 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 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 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 -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 -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 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 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 0.0 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 -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 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 -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 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 -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 -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 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 -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 0.0 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 -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 -1.0 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 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 1.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 -2.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 -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 0.0 0.0 0.0 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 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 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 5964.0 3384.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 408.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.19980255 0.0076630153 0.005234043 0.004293796 0.006064595 0.0035886106 0.0029931206 0.0026326925 0.008618933 0.0022409228 0.0022095812 0.0022722643 0.005202702 0.0024446428 0.002005861 0.0073339287 0.004513187 0.0018961653 0.0013006754 0.0017551283 0.003400561 0.0072555747 0.002005861 0.0015670788 0.0028364128 0.001629762 0.0017551283 0.0013006754 0.0020998856 0.0019745193 0.0020842147 0.0013006754 0.007474966 0.0013790294 0.003996051 0.0017864698 0.0043564793 0.0034475734 0.0012379923 0.0015827497 0.0023349475 0.0016454328 0.0014260417 0.0018961653 0.0020372025 0.0029931206 0.003698306 0.0014887248 0.004685566 0.0039647096 0.0033692194 0.00576685 0.0033848903 0.003478915 0.0022565934 0.0023819597 0.0034475734 0.00517136 0.0034319025 0.005202702 0.0029931206 0.003760989 0.0025073262 0.0024603137 0.01551408 0.0025229969 0.0018961653 0.0034319025 0.003996051 0.01253663 0.004434833 0.0051400186 0.0024446428 0.0023192766 0.0013790294 0.0015200664 0.0028990959 0.0050459937 0.001849153 0.0014103709 0.008101798 0.0025229969 0.0021312272 0.0066757556 0.0024603137 0.003917697 0.0061272783 0.0074436245 0.0019118361 0.0026483631 0.0015200664 0.0017081159 0.002068544 0.0033535487 0.0024916553 0.0021939103 0.0018648237 0.0050616646 0.002005861 0.003478915 0.0043408084 0.012473947 0.006001912 0.002883425 0.0076630153 0.0066600847 0.007004842 0.0015357372 0.006346669 0.0027423878 0.005265385 0.005813862 0.0040273927 0.0014260417 0.007992102 0.006863805 0.013257487 0.012803034 0.0022722643 0.0027580587 0.0027894003 0.0027894003 0.0014260417 0.0012693339 0.002287935 0.0039490387 0.0016611036 0.0017864698 0.0049206275 0.0049519693 0.0033535487 0.007600332 0.0033378778 0.0054534343 0.0014260417 0.0019275069 0.0027110463 0.007898077 0.0016767744 0.012144861 0.0015984204 0.0049833106 0.0013633586 0.0015043956 0.0013790294 0.0010499428 0.0011439675 0.0013006754 0.0020528731 0.001551408 0.0012379923 0.0015984204 0.001770799 0.0012850047 0.001551408 0.0012223214 0.001332017 0.0011596383 0.001551408 0.0015357372 0.002005861 0.0026797047 0.0017081159 0.0022252519 0.0020215316 0.0015200664 0.0013947001 0.0015827497 0.0019745193 0.0014887248 0.001551408 0.0013476878 0.0013476878 0.0018334822 0.0011596383 0.0015827497 0.0024133013 0.0012693339 0.0008932349 0.0012536631 0.001473054 0.0010812844 0.0019431778 0.0021625687 0.0019588484 0.0011126259 0.0014103709 0.0013947001 0.0020998856 0.001473054 0.0019275069 0.0016454328 0.0069108177 0.0037296475 0.0023506181 0.0023192766 0.002303606 0.0012693339 0.001849153 0.0032125115 0.0025229969 0.0024133013 0.0015200664 0.0014417125 0.0017237867 0.0012850047 0.0013163462 0.0013947001 0.002303606 0.0014103709 0.001332017 0.0016454328 0.001551408 0.0009872597 0.002805071 0.001332017 0.0024603137 0.0009872597 0.00087756413 0.001551408 0.0021312272 0.0014103709 0.0011753091 0.0015827497 0.0024446428 0.0016140912 0.0015984204 0.0013163462 0.0021625687 0.0011126259 0.0013947001 0.0011909798 0.011157601 0.0041057463 0.0013947001 0.004231113 0.0033692194 0.0011909798 0.0013476878 0.0014417125 0.0043094666 0.001629762 0.0014887248 0.0015670788 0.002664034 0.001629762 0.0023819597 0.002146898 0.005249714 0.0019431778 0.001629762 0.0020998856 0.0041684294 0.0019431778 0.002366289 0.035651043 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013807953 8.8050714e-05 0.000144083 0.0014088114 0.00012807376 0.00010405994 8.0046106e-05 6.403688e-05 8.0046106e-05 7.20415e-05 7.20415e-05 7.20415e-05 6.403688e-05 5.6032273e-05 8.0046106e-05 7.20415e-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 0.012102971 9.605533e-05 5.6032273e-05 5.6032273e-05 0.0003762167 0.000144083 0.00042424435 0.00085649337 0.00085649337 0.0002241291 1.600922e-05 0.00013607838 0.00010405994 8.8050714e-05 3.201844e-05 0.0008244749 0.017434042 0.0 0.0034019595 0.0006883965 0.00077644724 0.00024814293 0.0065717855 0.0036661117 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0326348 6.403688e-05 0.0038422132 0.0011126408 0.0040743467 0.00288166 0.0128474 0.0070440574 6.403688e-05 0.00019211066 0.0004482582 4.0023053e-05 6.403688e-05 8.0046106e-05 5.6032273e-05 0.00012807376 0.027936092 0.00038422132 0.0022172772 0.0023213371 0.0035700563 0.0026014985 0.013127562 0.007564357 0.0013447746 0.00042424435 0.0011446594 0.00023213371 0.00050429045 0.00024814293 0.00019211066 0.0017610143 0.009181288 0.00040823515 0.0005202997 0.005795338 0.001953125 0.0015849129 0.0063636657 0.0034259735 0.00040823515 0.00042424435 0.0007284196 0.00040823515 0.00038422132 0.00038422132 0.00040823515 0.00040823515 0.03267482 0.001977139 0.0030337474 0.010037782 0.0038662269 0.0028256276 0.005963435 0.0046346695 0.0023933786 0.0016569544 0.0038982453 0.0015128714 0.0019371158 0.0014488345 0.0017850281 0.0023213371 0.0028416368 0.00033619365 0.0008965164 0.005259029 0.00044025359 0.0003041752 0.002753586 0.0017129867 0.00024013832 0.00020811988 0.00024814293 0.00023213371 0.00020811988 0.00018410604 0.00028016136 0.00024814293 0.026535284 0.004298476 0.0028256276 0.0036340933 0.009869685 0.0051309555 0.004362513 0.0064437115 0.011286501 0.00063236424 0.0017610143 0.0014728484 0.0053150617 0.0018650743 0.00411437 0.008813077 0.07312212 0.016529521 0.010862256 0.014528369 0.030193392 0.026935514 0.014944608 0.019507237 0.0362849 0.003578061 0.004810771 0.0066758455 0.015024655 0.0069800206 0.01991547 0.044369556 0.014872567 0.014072105 0.014632428 0.013671875 0.013583824 0.014904585 0.014352267 0.014680456 0.014464332 0.014928599 0.0140080685 0.014384286 0.013960041 0.014112129 0.014328253 0.014552382 436.0 12.690367 5533.0 0.009036689 0.0021688053 0.009036689 0.0021688053 0.0061449483 0.0014458703 0.0012651364 0.0023495392 0.0018073377 0.0028917405 0.0019880715 0.0027110067 0.0028917405 0.0061449483 0.007952286 0.004156877 0.012289897 0.014639436 0.013555033 0.011205494 0.011566962 0.008855955 0.007410085 0.007952286 0.010121091 0.01102476 0.007410085 0.00813302 0.010121091 0.011205494 0.0097596245 0.0075908187 0.0025302728 0.006325682 0.003976143 0.010844027 0.010844027 0.011386228 0.00957889 0.010482559 0.0037954093 0.010301826 0.0027110067 0.003253208 0.008494488 0.009940358 0.0045183445 0.0046990784 0.013193565 0.0025302728 0.005602747 0.013555033 0.00668715 0.0046990784 0.00813302 0.025121996 0.0025302728 0.0027110067 0.0019880715 0.0028917405 0.001626604 0.0014458703 0.0012651364 0.0018073377 0.0019880715 0.030724743 0.00813302 0.018434845 0.02295319 0.08367974 0.009036689 0.009940358 0.010301826 0.035243087 0.0034339419 0.004156877 0.03723116 0.015543105 0.029821074 0.036688957 0.014097235 0.0023495392 0.037050426 0.036688957 0.049882524 0.016446775 0.0061449483 0.0097596245 0.00957889 0.012289897 0.0025302728 0.0019880715 0.0019880715 0.0019880715 0.0021688053 0.0012651364 5.9198093 0.0 0.0 0.0 1.0 63813.0 1499136.0 0.0 0.0 172.0 1.0 1.0 0.0 0.0 0.0 1330111200.0 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 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 10.0 0.0 5.0 0.0 5.0 0.0 28160.0 1024.0 4096.0 6.0 1.0 0.0 1.0 2.0 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 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -28160.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.218892 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.5099373 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4308603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.518795 0.0 4.7562914 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1019904.0 -3890.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10850.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28078.0 0.0 2776.0 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 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 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 1.0 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 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 1.0 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 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 -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 -2.0 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 1.0 -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 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 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 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 -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 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 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 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 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 -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 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 -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 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 -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 -2.0 -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 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 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 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 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 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 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 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 -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 1.0 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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -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 -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 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 1.0 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 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 -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 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 -1.0 0.0 0.0 0.0 1.0 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 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 0.0 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 2.0 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 -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 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 -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 -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 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 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 39732.0 2776.0 1490944.0 0.0 0.0 0.0 0.0 2404.0 499712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 720.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.056652736 0.008298192 0.006165939 0.0056556473 0.0057539796 0.004961112 0.004195157 0.0054175803 0.005050129 0.0056308056 0.0037500751 0.004471522 0.004959042 0.0031693983 0.0043266118 0.004642309 0.0050470233 0.0037738818 0.00493006 0.0041620345 0.004350418 0.0031704332 0.004107176 0.0038421967 0.0050635845 0.0033412206 0.0031549071 0.0029323662 0.004152719 0.0034343773 0.0037945833 0.0037956184 0.0061731846 0.0038256354 0.0034882012 0.0030317332 0.004900043 0.0041589295 0.0038432318 0.0037190227 0.004723045 0.00388774 0.0033350103 0.0030990131 0.0043711197 0.0037397244 0.0037293734 0.0035875684 0.005515912 0.0039394936 0.0031093638 0.002904419 0.0036745146 0.003070031 0.0026849834 0.0028661215 0.004168245 0.0033101684 0.0035233938 0.0033557117 0.003998493 0.0032149416 0.0035057974 0.0034457631 0.00659653 0.0039436338 0.0036175854 0.0032283976 0.0041558244 0.003220117 0.0035523758 0.0030648557 0.0049952697 0.0037687065 0.0036983213 0.0035917086 0.004123737 0.003123855 0.0035627265 0.003472675 0.005161917 0.0036310414 0.003651743 0.0033370804 0.003931213 0.0033712378 0.0033650273 0.00354306 0.0046474845 0.0036496727 0.003804934 0.0035151131 0.0041195964 0.0033826237 0.0036838304 0.0037821624 0.0059030303 0.0036196557 0.0033391505 0.002958243 0.004003668 0.0030534698 0.003264625 0.0030317332 0.0049776733 0.0031590476 0.003195275 0.0030482945 0.0035710072 0.0028371394 0.0030824519 0.003195275 0.0045067146 0.003290502 0.0032252923 0.003150767 0.00388981 0.0033256945 0.003289467 0.0036217258 0.0046278182 0.0032863617 0.0034819907 0.0031787138 0.0040440364 0.00319424 0.003470605 0.0033432906 0.008645978 0.004598836 0.0040098787 0.0035244287 0.004361804 0.0034354124 0.0030213825 0.0033857287 0.004539837 0.0038411615 0.002960313 0.0031963103 0.0037283385 0.0027853856 0.0028402444 0.0029799796 0.005224021 0.003207696 0.003499587 0.0030327684 0.0036641639 0.0031787138 0.0033018878 0.00326359 0.004542942 0.0028361042 0.0030451892 0.0027067198 0.0035202885 0.0032304677 0.0029861901 0.0031600825 0.0050211465 0.0034105706 0.0032749758 0.002806087 0.0037718117 0.0030037863 0.0030576102 0.0031828543 0.004138228 0.0030017162 0.003125925 0.0030234528 0.003652778 0.0028392095 0.002917875 0.0030265579 0.0046578352 0.0031093638 0.0038390914 0.0028578409 0.0035710072 0.0031518019 0.0029944705 0.0031186796 0.0042541563 0.003150767 0.00333294 0.003180784 0.0036496727 0.0031859595 0.0033267296 0.003346396 0.0067165988 0.0040637027 0.0037262684 0.0033422557 0.0041133864 0.0032563445 0.0033018878 0.0032232222 0.0043286816 0.0033381153 0.0031186796 0.003094873 0.0036496727 0.0029913655 0.0030762416 0.0028019468 0.0042427704 0.003278081 0.0030928028 0.0029955057 0.0037148825 0.0030327684 0.0029406468 0.002956173 0.003984002 0.0031135043 0.0027263863 0.0026352997 0.0035316744 0.0029437519 0.0035751474 0.0028826825 0.0049683577 0.003233573 0.003401255 0.0029789445 0.0038101093 0.0030762416 0.003195275 0.0029085595 0.0044404697 0.0054475972 0.0034602543 0.0031311004 0.0037987235 0.003083487 0.0032553093 0.0031921698 0.0046164324 0.003316379 0.003416781 0.0030420842 0.0037345488 0.0030938378 0.0033143086 0.0032553093 0.0043535237 0.0030327684 0.0031973452 0.0028681916 0.0040129838 0.0030928028 0.0042179287 0.004512925 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 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 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 0.099176556 0.062009126 0.062476154 0.055303812 0.060582124 0.059563056 0.05491661 0.05449312 0.060452018 0.05317497 0.05215642 0.05294275 0.05646076 0.050560955 0.05668209 0.053847782 4029.0 5.7021594 22974.0 0.01719335 0.010446592 0.009488988 0.008618439 0.013493515 0.0124053275 0.011839471 0.011534778 0.0126229655 0.009706625 0.008444329 0.008618439 0.0138852615 0.010620702 0.011839471 0.010054844 0.016758075 0.011839471 0.008705493 0.0075302515 0.00979368 0.008531383 0.0077914163 0.008400801 0.010228954 0.00857491 0.00961957 0.008879603 0.011534778 0.0090101855 0.00961957 0.009184295 0.017976843 0.010881866 0.010359537 0.009140768 0.010881866 0.008836076 0.010664229 0.008270219 0.014233481 0.011621834 0.009706625 0.008966658 0.011404196 0.009314878 0.011665361 0.009576042 0.014799339 0.00961957 0.00996779 0.008966658 0.012100635 0.009314878 0.009532515 0.00979368 0.013711152 0.00927135 0.010533647 0.00961957 0.0111430315 0.009837207 0.010359537 0.010664229 0.017889788 0.010968922 0.009663098 0.008183164 0.013101767 0.008226691 0.0094454605 0.008357273 0.015408723 0.00927135 0.008879603 0.008661966 0.011317141 0.008096108 0.009924262 0.007921998 0.013145295 0.008052581 0.008705493 0.008836076 0.011404196 0.009488988 0.008183164 0.007834944 0.010925394 0.008836076 0.012013581 0.008618439 0.011447724 0.008966658 0.00996779 0.008705493 6.5546923 0.0 0.0 0.0 14.0 966114.0 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: 0.20087716 0.008086065 0.007370631 0.00564028 0.0068215774 0.0034873234 0.0033475643 0.0030979945 0.008598515 0.0021196804 0.0023126812 0.0018401621 0.0063490584 0.0016804374 0.0014208846 0.009773158 0.0061494024 0.0013343671 0.0013210567 0.0014375227 0.00336753 0.0036470483 0.0013010912 0.00070877856 0.0025722338 0.001061504 0.00067217497 0.0014042467 0.0017403342 0.0012411943 0.0010648316 0.0013643155 0.0068714917 0.00070212333 0.000994952 0.0009051069 0.003217788 0.0019466453 0.00069546816 0.0007353993 0.0018268517 0.0005590366 0.0007720029 0.0034041335 0.0013044187 0.0020364905 0.0024424575 0.00094171043 0.0042327056 0.0021862325 0.0017702825 0.008232479 0.002246129 0.0025123372 0.002222836 0.0018301794 0.0030979945 0.0044656377 0.0025223198 0.0066019557 0.00202318 0.0022794052 0.0016039026 0.0014541607 0.0030148046 0.0023659228 0.0037601867 0.009693295 0.0031379256 0.012455203 0.002711993 0.0015107299 0.0021030423 0.0011580044 0.0010481937 0.0005823298 0.0017203685 0.0045987414 0.0014774539 0.0011380388 0.009706605 0.0025256474 0.0013144015 0.005084571 0.0020364905 0.0038001179 0.0058931774 0.0042160675 0.0016737821 0.0068481984 0.0008185893 0.0014341951 0.0018102138 0.003084684 0.0027086653 0.0026021823 0.0011347112 0.0057600737 0.0011812976 0.0029815284 0.003111305 0.008478722 0.007653477 0.0015606438 0.0054739 0.004745156 0.006502128 0.00096833124 0.0041495156 0.0024025263 0.004938157 0.0049315016 0.004146188 0.0005590366 0.0057334527 0.005503848 0.015450041 0.015786128 0.002495699 0.0023093536 0.002405854 0.0017769377 0.0012245564 0.0005157778 0.0015140574 0.003407461 0.001351005 0.002505682 0.0035971343 0.0019366625 0.000994952 0.015054056 0.003251064 0.013912691 0.0017669549 0.0008219169 0.0028218038 0.010718196 0.0013110739 0.022677585 0.0013576603 0.010079296 0.0007919685 0.000994952 0.0012744704 0.00042926025 0.00066551974 0.0005457262 0.0011946079 0.0007986237 0.0006755025 0.00047251902 0.0013044187 0.00071876135 0.0005091226 0.00040929465 0.00075536495 0.0007453821 0.0005423986 0.00093172764 0.0011214007 0.0014608159 0.0007919685 0.00087515847 0.0008452101 0.0007686753 0.000505795 0.00037269105 0.0011646596 0.00041594985 0.00045588103 0.00063224375 0.001028228 0.00042260505 0.0005790022 0.00040263945 0.0010315556 0.00037934625 0.00049913983 0.00034607027 0.0008917965 0.0014741262 0.002246129 0.0019499728 0.0019666108 0.00073207176 0.00069214054 0.0005923126 0.0010348832 0.0012811255 0.0011812976 0.00068215776 0.010059332 0.003111305 0.00235594 0.0052442956 0.0035871514 0.0009882968 0.002678717 0.0041961023 0.0027685622 0.00320115 0.0012811255 0.00064555416 0.0026188202 0.0008884689 0.0013709707 0.00071543374 0.0017403342 0.0013643155 0.0018900761 0.0010016073 0.0014042467 0.00039931186 0.0013909363 0.00094836566 0.0028484245 0.00092507247 0.0010648316 0.0013709707 0.0017503169 0.0013576603 0.0010748144 0.0006156058 0.003956515 0.0014175571 0.0011480215 0.00070877856 0.0039698253 0.001351005 0.0021596116 0.0019832489 0.017602997 0.0040164115 0.0013543327 0.006079523 0.0042693093 0.0013543327 0.0014741262 0.0015040747 0.004439017 0.0019366625 0.0018201965 0.0019133693 0.0030547357 0.0017436617 0.004455655 0.0033475643 0.0068215774 0.0022261636 0.0017070582 0.0035738412 0.005803332 0.0047784317 0.0059763673 0.06976976 0.0034246575 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00312199 3.344392e-06 0.0 0.00016220302 1.0033176e-05 1.0033176e-05 8.36098e-06 3.344392e-06 1.0033176e-05 1.672196e-05 1.672196e-05 1.3377568e-05 1.5049764e-05 1.5049764e-05 8.36098e-06 1.0033176e-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 0.0056904834 0.00019564694 0.00015885863 0.00014380887 0.00011705372 9.364298e-05 0.00019063035 0.0001254147 9.865957e-05 6.5215645e-05 5.3510274e-05 7.692102e-05 4.682149e-05 2.6755137e-05 0.0002106967 0.0029798534 0.00014046447 3.0099529e-05 1.8394157e-05 1.8394157e-05 1.3377568e-05 1.0033176e-05 2.5082942e-05 5.852686e-05 5.6854667e-05 9.364298e-05 0.00014548106 0.00015718643 0.00015216984 4.682149e-05 0.0003478168 0.005534969 0.004912912 4.1804902e-05 0.00024079623 5.0165883e-05 0.00019899133 9.364298e-05 0.0006705506 0.00043978757 1.8394157e-05 1.3377568e-05 8.36098e-06 1.8394157e-05 5.6854667e-05 2.0066353e-05 6.688784e-06 5.852686e-05 0.042333316 0.0005618579 0.0035935494 0.0011036494 0.0023895681 0.0014113334 0.012977914 0.0073743844 0.0012123422 0.000247485 0.00022407428 0.0002073523 0.00038962168 0.000503331 0.0014564828 0.009630177 0.033835214 0.00031771726 0.0030417247 0.0014196945 0.004162096 0.0028644719 0.011889314 0.0064412993 0.0002508294 0.00011036494 0.00013544789 0.00018394156 5.1838077e-05 0.00010367615 7.0232236e-05 0.00019063035 0.017969418 0.0010635167 0.0019313864 0.0015283872 0.0026805303 0.0014079891 0.005807537 0.0033878693 0.0010083342 0.00040132707 0.00039129387 0.0005167086 0.0004698871 0.00047824808 0.0019899134 0.003488201 0.012559865 0.0004197212 0.0012207031 0.0020685066 0.0020885728 0.0020969338 0.005657039 0.0033912137 0.0011839148 0.00092639663 0.0008461312 0.00095649617 0.0011203714 0.001535076 0.0071386048 0.011584974 0.013436096 0.0015869141 0.0021955934 0.0140832355 0.002429701 0.0017942664 0.0028193225 0.0022390706 0.0016554741 0.0012859188 0.0012926075 0.0012190309 0.0014431052 0.001125388 0.0012859188 0.0014782213 0.0148691675 0.0016237024 0.001509993 0.002038407 0.0012992964 0.0017892498 0.0016471131 0.0025016053 0.007600131 0.0010952884 0.0009916122 0.0021638216 0.0024380619 0.0016604906 0.004307577 0.014108318 0.033281717 0.0065984856 0.0037858519 0.0060851215 0.008205466 0.0101017365 0.0054597203 0.010573296 0.022328833 0.001969847 0.0016638351 0.003667126 0.0091335345 0.0032724878 0.0095867 0.025245143 0.08685386 0.01788748 0.011434477 0.020486074 0.028939025 0.033950597 0.01868512 0.030132974 0.056944966 0.0057189106 0.005988134 0.007745612 0.030452363 0.012345823 0.028084533 0.04955553 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1366.0 12.798682 17483.0 0.03586341 0.00217354 0.0035463022 0.0014299605 0.0037750958 0.0019447464 0.0014871589 0.0044042785 0.013155637 0.0013727621 0.0013155637 0.0041754846 0.008064978 0.010009724 0.009609335 0.0062918263 0.017674312 0.012526454 0.0112108905 0.012412057 0.010181319 0.011554081 0.013155637 0.009266145 0.011840073 0.013498828 0.011554081 0.008522565 0.009609335 0.0075501916 0.008636962 0.0053766514 0.0055482467 0.0057770405 0.0018303494 0.010352914 0.0050906595 0.0046330723 0.007321398 0.005662644 0.0061774296 0.004919064 0.0013155637 0.0024023338 0.007035406 0.002859921 0.005205056 0.0029743179 0.016530344 0.002573929 0.0038894927 0.017502718 0.013727621 0.0034891036 0.0108677 0.0125836525 0.0039466913 0.0048046676 0.0020591433 0.0021163416 0.004289882 0.003374707 0.0020019447 0.0039466913 0.0044042785 0.03220271 0.0064634215 0.023680147 0.01664474 0.05365212 0.0076645883 0.010238517 0.015329177 0.040096093 0.012068867 0.0041754846 0.022879368 0.014528399 0.030257965 0.03357547 0.014585597 0.0013727621 0.033975862 0.031001544 0.04375679 0.015100383 0.0064634215 0.011668478 0.005891437 0.009952526 0.009380541 0.0010295716 0.002459532 0.0014299605 0.0009151747 0.013155637 6.0387516 1.0 19.0 0.0 3.0 300517.0 397312.0 1.0 0.0 146.0 1.0 1.0 1.0 0.0 0.0 1530960000.0 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 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 183296.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 31232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -183296.0 0.0 33280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5651965 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.766108 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8325815 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.637594 0.0 5.962496 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 30740.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -125720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -183100.0 0.0 32904.0 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 -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 -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 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 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 -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 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 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 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 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 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 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 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 0.0 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 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 -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 1.0 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 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 -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 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 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 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 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 -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 -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 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 2.0 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 -1.0 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 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 -1.0 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 -1.0 0.0 1.0 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 0.0 0.0 0.0 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 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 1.0 1.0 -1.0 0.0 0.0 2.0 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 -1.0 -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 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 -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 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 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 -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 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 1.0 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 -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 0.0 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 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 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 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 -1.0 0.0 -1.0 -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 -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 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 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 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 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 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 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 0.0 120.0 215664.0 32904.0 348160.0 0.0 0.0 7032.0 293376.0 8888.0 385024.0 28.0 189168.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 210352.0 0.0 0.0 664.0 188416.0 160.0 214780.0 0.0 0.0