Input: 0.09454664 0.007871572 0.0043433146 0.0047336016 0.0069389585 0.0027523856 0.003413836 0.00285897 0.0075863022 0.0021395253 0.0018903058 0.0019874857 0.005315114 0.0019106823 0.0015329346 0.0060094795 0.00552985 0.0016630302 0.0015924964 0.0014843446 0.0034859371 0.0018840361 0.0015846593 0.001459266 0.0028229195 0.0015658503 0.0012727432 0.0014373221 0.0021959522 0.0013307377 0.0013370074 0.0016332493 0.0037884489 0.0012633387 0.00162071 0.0014733727 0.0041317134 0.0013495467 0.0011112991 0.0013417096 0.0017178899 0.0013526815 0.0013605186 0.0024859246 0.047779597 0.001658328 0.0018276091 0.0015924964 0.0035987913 0.0022273005 0.0021316882 0.004675607 0.0024733853 0.0020204014 0.001838581 0.0018809013 0.003079976 0.0030674366 0.0022680536 0.050082132 0.0028056777 0.0021787107 0.0021928174 0.0027900035 0.0043307752 0.002799408 0.0022131938 0.004517298 0.007448369 0.010594177 0.0031128917 0.0022727558 0.0025266774 0.0018448507 0.0017727495 0.0014153783 0.0016865415 0.006272806 0.0018714968 0.0016896763 0.006805728 0.0027523856 0.0017539405 0.0033260605 0.0017962608 0.0034906394 0.0040361006 0.003034521 0.0017570753 0.0039122747 0.0015956312 0.0018542552 0.0015000188 0.003335465 0.0027743294 0.0024153907 0.0015094234 0.0025721325 0.0013887321 0.0020204014 0.0026019134 0.004352719 0.0027335766 0.0018903058 0.0027194698 0.0025658628 0.005106647 0.0017743169 0.0025454864 0.0019294913 0.002326048 0.0027132002 0.002468683 0.0012555016 0.0030188467 0.003233583 0.008818292 0.009866895 0.0019467329 0.0017758843 0.002123851 0.0017492382 0.0012429623 0.0014169457 0.0022257331 0.0036395441 0.002420093 0.0021896826 0.003335465 0.0017147551 0.001485912 0.009761878 0.0030486276 0.006569048 0.0014279176 0.0013479793 0.002318211 0.007990696 0.0017931259 0.019874858 0.001876199 0.009476608 0.0012413949 0.0014576985 0.0013793276 0.0010517373 0.0012993893 0.0016269797 0.0017758843 0.0015235301 0.0011269734 0.0011520521 0.0013385748 0.0011865352 0.0010862205 0.0012398275 0.0018950081 0.0016191426 0.0013777602 0.0015940638 0.0017084854 0.0013981366 0.0009890406 0.0015141256 0.0015172604 0.0016348168 0.00097650127 0.0013746254 0.0016066033 0.0011520521 0.0012288556 0.0013573838 0.001935761 0.0015862267 0.0010846531 0.0013213332 0.0017727495 0.0010642767 0.0012429623 0.0015047211 0.0018667945 0.002183413 0.002145795 0.0022633513 0.002742981 0.0012821477 0.0012382601 0.0013934344 0.0018652271 0.0019122497 0.0016473561 0.0015297998 0.005136428 0.0026128853 0.0025000314 0.0036536509 0.0032163414 0.001399704 0.0035219877 0.0034875046 0.0023119412 0.0024216603 0.0014576985 0.0015564458 0.0033558414 0.0013950018 0.0029436105 0.0017884236 0.0027132002 0.001973379 0.0017664798 0.0017225922 0.0023730705 0.0014059737 0.0018448507 0.0014639682 0.002261784 0.0019671093 0.0016301145 0.002059587 0.002018834 0.001916952 0.0015862267 0.0016379516 0.0029686892 0.001876199 0.0016802718 0.0016724347 0.0020564522 0.0016473561 0.0015203953 0.0018699294 0.059229583 0.0036270048 0.0013793276 0.004471843 0.0037602352 0.0017790191 0.0014968839 0.0016097381 0.0038809264 0.0022131938 0.0017461034 0.0019608396 0.0022210309 0.001440457 0.00329001 0.0023918794 0.004127011 0.0018636597 0.0015736874 0.0026943912 0.005155237 0.0032727683 0.005782204 0.09767678 0.009646302 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0015268602 7.850181e-07 1.8840434e-05 1.8840434e-05 0.0 0.0 7.850181e-07 7.850181e-07 1.5700361e-06 7.850181e-07 0.0 0.0 2.3550542e-06 7.850181e-07 1.8055416e-05 1.7270399e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012897847 6.986661e-05 1.0205235e-05 7.0651627e-06 8.321192e-05 6.2801446e-06 3.9250904e-06 1.4130325e-05 1.9625451e-05 8.635199e-06 1.8055416e-05 1.1775272e-05 4.7101084e-06 1.0205235e-05 4.7101084e-06 4.5531047e-05 0.0011900874 5.1026174e-05 4.945614e-05 7.850181e-06 0.00011382762 2.826065e-05 3.6110832e-05 3.1400723e-05 1.4130325e-05 7.0651627e-06 1.7270399e-05 1.0205235e-05 7.850181e-06 1.4915344e-05 1.0990253e-05 1.7270399e-05 0.021710461 0.00042783486 0.001387912 0.0014083225 0.002774254 0.0002480657 0.0006123141 0.00037445364 0.00017505903 0.00039250904 0.00027946645 0.00016877889 0.0005118318 0.00052439206 0.0010534943 0.0033206264 0.008873059 0.0002127399 0.026987351 0.027172616 0.0011673219 0.0004678708 0.0017238997 0.0011021654 0.000390939 0.0002778964 0.0002260852 0.0002480657 0.00053145725 0.00071436644 0.027222073 0.032907173 0.005992043 0.00018133917 0.016079526 0.016470464 0.0012992049 0.00077638286 0.0027507034 0.0014091075 0.00042704985 0.00035011806 0.00035718322 0.00031165217 0.00045688052 0.00090826594 0.017218586 0.02343593 0.004081309 8.949206e-05 0.0028456906 0.002822925 0.0015480557 0.00066569535 0.0029249773 0.0015119448 0.0003249975 0.00026455108 0.00013109802 0.00011932275 0.00015386354 0.00027004624 0.0028951466 0.00346664 0.007876086 0.00072614173 0.002306383 0.010595389 0.0026824067 0.0013706416 0.003040375 0.0022938228 0.0013345308 0.0007551874 0.00078109297 0.0014357981 0.0008297641 0.0018353723 0.0017662907 0.00217136 0.007898067 0.0008540997 0.0014043973 0.0016556032 0.0020559623 0.0013926221 0.002299318 0.00217764 0.0045640953 0.0005393074 0.00045531048 0.001347876 0.0012254133 0.00077873794 0.0014499284 0.008486831 0.029227009 0.005641925 0.0034603598 0.0050256858 0.012083784 0.01021858 0.004603346 0.008695645 0.022705862 0.0016548181 0.0015409905 0.0031557728 0.009508139 0.0027169476 0.010918031 0.02318394 0.04049437 0.009786036 0.006722895 0.009142321 0.01779479 0.015477417 0.0076986724 0.015581039 0.030549765 0.0029210523 0.003600878 0.004946399 0.014704173 0.006516435 0.014164866 0.026586993 0.015512742 0.014226883 0.014612326 0.015056647 0.014791311 0.015499397 0.0150221065 0.016183147 0.014269274 0.015107673 0.014990705 0.015910747 0.014856467 0.016057545 0.016041059 0.017842676 2241.0 12.293619 27550.0 0.023484573 0.002540835 0.0031578948 0.0019963703 0.011760436 0.0034845734 0.002431942 0.0038112523 0.0036660617 0.0031941924 0.002323049 0.003629764 0.005154265 0.007586207 0.010054447 0.006424682 0.019019963 0.011905626 0.01168784 0.0101270415 0.012595281 0.009437387 0.008493648 0.009836661 0.011978221 0.011107078 0.011361161 0.009001815 0.011651543 0.0082395645 0.009655172 0.01724138 0.030090744 0.01277677 0.0035934665 0.0077313976 0.013430127 0.005662432 0.0076225046 0.01092559 0.006497278 0.008457351 0.003520871 0.002940109 0.006279492 0.004754991 0.0063157897 0.0052268603 0.014010889 0.0037749547 0.00508167 0.013248639 0.00646098 0.006424682 0.011615245 0.006969147 0.0074410164 0.00446461 0.0035571689 0.0025771325 0.0041016336 0.0029038112 0.0027949184 0.010453721 0.004646098 0.031796735 0.010998185 0.02029038 0.021451905 0.04479129 0.007368421 0.012232305 0.011651543 0.026860254 0.0068239565 0.0053720507 0.02384755 0.0142286755 0.02261343 0.028892921 0.015317604 0.0023593467 0.031433757 0.029727768 0.04787659 0.014591652 0.0069328495 0.005154265 0.007368421 0.007803993 0.002722323 0.0026134301 0.0046098004 0.0030852994 0.0019963703 0.0027949184 6.1586876 0.0 28.0 0.0 9.0 637992.0 643072.0 0.0 0.0 200.0 1.0 1.0 1.0 0.0 0.0 1545991400.0 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 249344.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -19456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 46592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -249344.0 0.0 299008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.979704 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9448757 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.680056 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6346464 0.0 6.3277497 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19100.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 46450.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -249095.0 0.0 298544.0 0.0 0.0 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 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 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 -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 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 -1.0 0.0 -2.0 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 0.0 0.0 0.0 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 -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 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 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 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 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 -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 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 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 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 -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 1.0 -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 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 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 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 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 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 -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 -1.0 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 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 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 1.0 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 0.0 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 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 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 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 -1.0 0.0 0.0 0.0 0.0 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 -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 -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 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 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 -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 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 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 -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 1.0 0.0 -1.0 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 -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 -2.0 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 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 -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 -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 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 -1.0 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 1.0 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 0.0 240.0 295572.0 298544.0 323584.0 0.0 0.0 11304.0 626688.0 12096.0 622592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 274904.0 0.0 0.0 844.0 253952.0 0.0 0.0 0.0 0.0


Input: 0.1597608 0.015428727 0.006776032 0.0057652197 0.0062190616 0.0065409592 0.0040729493 0.0028980917 0.00820454 0.0025768257 0.0037204667 0.0025461146 0.002803178 0.004251655 0.0016537233 0.014343727 0.006061209 0.0018405176 0.0014529006 0.0016153029 0.0023224165 0.0044896347 0.0014229477 0.0011744784 0.004046535 0.0013611463 0.0010728665 0.0011104023 0.0015809267 0.0013243689 0.0013236105 0.0021414359 0.013241666 0.0032004002 0.0010976376 0.0011450312 0.019293271 0.001687594 0.00089314964 0.0012556164 0.00458834 0.0013044004 0.0009843983 0.0026460837 0.0014301516 0.0017469941 0.0021660805 0.001019912 0.0062016207 0.0020836787 0.0021416887 0.007275751 0.0025026388 0.0012750794 0.0011196282 0.0012012717 0.0047106785 0.002475972 0.0016016535 0.002954585 0.0021783398 0.0018935986 0.0011064843 0.0010880324 0.0080957245 0.013109723 0.0025994484 0.0037391714 0.011796602 0.008298948 0.001976253 0.0020680074 0.056541666 0.007976293 0.0011005444 0.001890439 0.012139101 0.0041712755 0.001920771 0.001901308 0.004142207 0.0014084136 0.0017826342 0.0033085842 0.0036553794 0.0021170438 0.0015278457 0.0019286067 0.0022870293 0.0008591526 0.00081112696 0.001977517 0.005624429 0.001630848 0.001438872 0.004081038 0.0028638418 0.0039034695 0.0016877204 0.004986194 0.00480079 0.0072001736 0.006160546 0.0023567928 0.003275851 0.004661768 0.0012585233 0.0015552709 0.0049447403 0.0024605533 0.004173424 0.004227516 0.004879021 0.00068979914 0.0047637597 0.0049734293 0.015269737 0.007409843 0.0013407987 0.0011130563 0.002681092 0.002101625 0.0007268294 0.0010881588 0.0027393545 0.0010896754 0.0014321737 0.0011618402 0.0034017286 0.001998623 0.00072594476 0.011263771 0.0048293523 0.011398495 0.000803544 0.0008798794 0.0022412785 0.015360607 0.0005237317 0.037726123 0.0012897399 0.01203218 0.0008222487 0.00074250094 0.0026071577 0.0005229734 0.0005267649 0.0006120735 0.00096721016 0.000590462 0.0005492611 0.0005560858 0.0012310981 0.00055646495 0.00044992397 0.0004879653 0.0009900855 0.00048025593 0.0004789921 0.00054610154 0.0016858247 0.0006157386 0.0006286297 0.0006465761 0.00087811006 0.0006368446 0.000667303 0.0006340642 0.0012319828 0.00061712886 0.0007014264 0.0006669238 0.0010905601 0.00060891395 0.000755392 0.0007264503 0.0015494573 0.00058275263 0.00047254656 0.0005313147 0.00087330746 0.00048467933 0.0030175238 0.0010507494 0.0031420111 0.0017274048 0.0018149882 0.0007427537 0.00096506166 0.000605628 0.0006713472 0.0007727065 0.010474003 0.0044641052 0.0019728409 0.0054937485 0.0052905246 0.0020019088 0.0017887006 0.003889441 0.0036144312 0.005021581 0.0011666428 0.0025894642 0.019310964 0.0015126797 0.0018285112 0.0021528103 0.002624725 0.0013208302 0.0025336028 0.0011998815 0.0011471797 0.0009832608 0.0010809549 0.0011709398 0.0020030465 0.0012260429 0.000751095 0.0017935031 0.0008477781 0.00064114167 0.000707872 0.00076651375 0.0027073796 0.0009766889 0.00089289685 0.0007561503 0.0010790592 0.00061864546 0.00064063614 0.00062761863 0.012494743 0.0030589774 0.0007968457 0.0035144624 0.00187363 0.0012053159 0.0007042068 0.00148437 0.0024156873 0.0010654099 0.0012888552 0.0012566275 0.0009827553 0.000877099 0.0020107557 0.0014852546 0.003550355 0.0020726835 0.0016439918 0.0014978929 0.0013846536 0.0015165977 0.002512623 0.024350112 0.0035021508 8.215967e-07 0.0 0.00037616488 7.58397e-07 6.319975e-08 4.4239823e-07 7.58397e-07 2.52799e-07 2.52799e-07 6.319975e-08 2.52799e-07 5.05598e-07 0.0 0.0 5.05598e-07 0.00073836267 1.011196e-06 1.4535942e-06 3.855185e-06 1.0491158e-05 4.7399813e-06 1.959192e-06 1.7695929e-06 8.215967e-07 1.1375954e-06 2.3383907e-06 2.780789e-06 2.780789e-06 1.3903945e-06 8.8479646e-07 8.215967e-07 0.0065606395 2.6923093e-05 1.7000732e-05 1.3903945e-05 0.00014618102 0.0001006772 2.6227895e-05 1.9655121e-05 2.028712e-05 1.8011928e-05 3.2800668e-05 4.1648633e-05 3.4507062e-05 1.5610338e-05 2.2878308e-05 2.1867112e-05 0.0051713823 3.722465e-05 1.6621534e-05 0.00012892748 0.00017986649 0.0001263995 2.761829e-05 2.4774301e-05 1.8201526e-05 2.8882285e-05 4.518782e-05 3.987904e-05 3.9752642e-05 2.009752e-05 1.750633e-05 3.1599873e-05 0.0021741977 4.6894213e-05 1.516794e-05 2.4458303e-05 0.0001231131 4.057424e-05 3.6023856e-05 9.227163e-06 3.1789474e-05 1.5673537e-05 1.4030344e-05 1.0996756e-05 2.0666317e-05 6.1303754e-06 8.152768e-06 1.1565554e-05 0.0029731689 7.887329e-05 7.065732e-05 3.558146e-05 0.0001739257 5.3214186e-05 8.822685e-05 2.9261482e-05 3.5202258e-05 3.4443863e-05 1.9591922e-05 2.3952703e-05 2.5343099e-05 4.013184e-05 3.292707e-05 3.9057442e-05 0.006597611 0.00016893292 0.00019345443 0.0003194115 0.00068426365 0.00032920748 0.0004250183 0.00018542806 8.753165e-05 0.0001000452 9.739081e-05 7.0404516e-05 6.635974e-05 6.711813e-05 7.299571e-05 0.000112874746 0.0070201647 0.00025880296 0.0006968404 0.00017209291 0.00071883394 0.0004284943 0.0032194583 0.0016237911 0.00014182023 0.0001238715 8.746845e-05 7.4702104e-05 7.002532e-05 8.146447e-05 8.342366e-05 0.00021298316 0.008767575 0.0003273747 0.0027040644 0.0006463438 0.0013660626 0.0009964705 0.009097541 0.004727278 0.00016438254 0.00011704593 9.062844e-05 9.92236e-05 0.00011963712 0.000102889186 0.000105733176 0.00033736025 0.016532864 0.0008213439 0.0047369474 0.0021874064 0.004125932 0.0039939713 0.015207313 0.008540687 0.00023238547 0.00018618646 0.00016166495 0.00016905932 0.00021051835 0.0001776545 0.00017291452 0.0005291715 0.025748335 0.0030525478 0.0043398 0.0035298322 0.0030995684 0.003537922 0.0077493633 0.004629571 0.0006010296 0.0005175427 0.00053656584 0.00053587067 0.0009740977 0.0008021312 0.0007158003 0.0011107356 0.011480739 0.0017285763 0.001602872 0.001373141 0.0016287207 0.0011046052 0.0023852217 0.0012297407 0.000808072 0.00059224485 0.0028756517 0.00055413536 0.0012463622 0.0008526278 0.0008934548 0.0012255063 0.015658306 0.0021970128 0.0025205954 0.0023703696 0.0071108565 0.0016835149 0.002858967 0.0017730057 0.005190848 0.00091355236 0.00086634216 0.001369981 0.0049328036 0.0014736917 0.0020845805 0.0027812312 0.112104915 0.019267011 0.03228793 0.02368815 0.09788213 0.019663211 0.014248447 0.0235323 0.08072422 0.0062322537 0.0052046254 0.011893118 0.051361296 0.0123491045 0.021833932 0.03296164 0.02074993 0.0048350333 0.0070019634 0.0054208953 0.020530691 0.0050414437 0.0036030808 0.0056453175 0.016448682 0.0017810321 0.0012791629 0.002624243 0.011938053 0.003325002 0.005899823 0.009037438 0.0017067092 0.0014958116 0.0015004884 0.0015253259 0.0015595802 0.0014767253 0.0015470034 0.001492146 0.001547509 0.0014917669 0.0014773573 0.001495938 0.0015378394 0.0014854468 0.0014908188 0.0015029532 43707.0 16.593636 725258.0 0.06273354 0.0011457992 0.00083556474 0.0007831696 0.009607616 0.006851355 0.0003915848 0.0036262958 0.0044604815 0.0029851445 0.0007831696 0.0013898503 0.0032374687 0.007868924 0.014740962 0.0023122807 0.008215007 0.005553886 0.005021661 0.0061909 0.002585287 0.0031257842 0.0021592316 0.0018338301 0.0040840637 0.006399102 0.004794156 0.0021164883 0.0021826716 0.0035394302 0.0015732333 0.0006742428 0.0041943695 0.030871773 0.0026955924 0.008588668 0.009342882 0.012971936 0.0036814485 0.0026804255 0.013710983 0.008143309 0.0004701775 0.0024349955 0.008456301 0.0033574258 0.007059557 0.005468399 0.0066900332 0.0007928213 0.0068086116 0.014258374 0.012245297 0.008110218 0.005949607 0.0058144825 0.0028196862 0.0014022596 0.0003502202 0.0025356493 0.020445138 0.0068706586 0.005850332 0.024247922 0.0013719256 0.03535845 0.0083349645 0.034651116 0.022152117 0.06427368 0.015748879 0.011529691 0.0094311265 0.035028912 0.00072525913 0.0046438645 0.028003827 0.016755417 0.036620073 0.033694215 0.021357916 0.0013705468 0.036138862 0.042753063 0.053670555 0.01733452 0.0062570837 0.0042991596 0.008339101 0.01086372 0.0012368013 0.00038744832 0.0023908734 0.00058048306 0.0007928213 0.00078179076 5.7045197 55.0 119.0 1.0 15.0 7912448.0 7962624.0 1.0 246.0 492.0 1.0 1.0 0.0 0.0 0.0 1544861800.0 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 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 10.0 0.0 5.0 2.0 5.0 2.0 5601792.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1452544.0 0.0 0.0 0.0 0.0 331264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -466944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5601792.0 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 -4.5355926 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.1649365 0.0 0.0 0.0 0.0 6.531628 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5331297 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5132256 0.0 4.2519956 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57308.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1452173.0 0.0 0.0 0.0 0.0 331128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -506049.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5601596.0 0.0 1400.0 0.0 0.0 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 -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 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 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 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 -2.0 -2.0 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 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 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 1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 3.0 0.0 1.0 0.0 -2.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 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 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 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 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 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 1.0 2.0 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 -1.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 -2.0 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 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 -1.0 1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 2.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 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 1.0 -1.0 2.0 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 -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 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 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 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 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 1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 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 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 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 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 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 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -2.0 1.0 0.0 -3.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 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 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 3.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 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 -2.0 2.0 -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 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 1.0 0.0 -1.0 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 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 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 -2.0 -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 1.0 0.0 0.0 0.0 -1.0 -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 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 2.0 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 -1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 2.0 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 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 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 1.0 -1.0 0.0 -1.0 0.0 0.0 4.0 -1.0 -1.0 3.0 1.0 -1.0 -1.0 -4.0 4.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 -3.0 0.0 -1.0 1.0 0.0 0.0 4.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 -2.0 1.0 2.0 -1.0 -1.0 4.0 0.0 -4.0 0.0 3.0 -1.0 1.0 -1.0 2.0 1.0 -3.0 1.0 -1.0 -1.0 1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 2.0 -1.0 -1.0 -2.0 -2.0 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 1.0 1.0 -1.0 1.0 3.0 -1.0 0.0 0.0 1.0 -2.0 0.0 2.0 0.0 -1.0 0.0 -3.0 2.0 1.0 1.0 0.0 1.0 -2.0 1.0 1.0 7613.0 7051984.0 360.0 7039868.0 1400.0 7901184.0 331128.0 7569408.0 0.0 0.0 39556.0 7905280.0 28.0 5615616.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4072.0 5607424.0 0.0 0.0 0.0 0.0


Input: 0.0565503 0.008295587 0.0061692554 0.0056423214 0.0057528745 0.0049645402 0.0041958373 0.005420183 0.0050399643 0.005617525 0.0037484604 0.004468603 0.0049500754 0.0031729664 0.0043229214 0.0046359817 0.0050399643 0.003760859 0.004932511 0.004163808 0.0043601166 0.0031729664 0.004102849 0.0038290503 0.0050750934 0.0033455114 0.0031770992 0.0029342966 0.0041421107 0.0034343668 0.0037897886 0.003797021 0.0061620227 0.0038156188 0.003486027 0.003023152 0.0048829173 0.004162775 0.0038445485 0.0037236637 0.004723804 0.0038951754 0.0033289802 0.003104775 0.004371482 0.0037174644 0.0037215971 0.0035841812 0.005511105 0.0039520017 0.0030934098 0.0028991676 0.0036761363 0.003085144 0.002687361 0.0028599058 0.0041720737 0.0033093493 0.0035128903 0.0033517105 0.004001595 0.0032390915 0.0035046246 0.003455031 0.006595968 0.003949935 0.0036265426 0.0032359918 0.004153476 0.003221527 0.00354182 0.003073779 0.0049934704 0.003766025 0.0037081656 0.0035810817 0.004135912 0.0031254392 0.0035552515 0.0034622634 0.0051629157 0.0036265426 0.00364824 0.0033279469 0.0039313375 0.0033837399 0.0033599762 0.0035449194 0.004640115 0.00364824 0.0038104528 0.0035046246 0.004113181 0.0033868395 0.003689568 0.0037928883 0.005907855 0.0036275757 0.0033403453 0.0029508278 0.004010894 0.0030469156 0.003272154 0.0030262517 0.004972806 0.0031616013 0.003195697 0.0030572477 0.0035759157 0.002849574 0.0030965095 0.0031884646 0.004513031 0.0032855857 0.0032256597 0.0031388707 0.0038858766 0.0033320796 0.0032897184 0.0036265426 0.0046256497 0.003297984 0.0034798277 0.003165734 0.0040325914 0.0031946637 0.0034663961 0.0033475778 0.008633444 0.004601886 0.004015027 0.0035211558 0.004366316 0.0034374665 0.0030138532 0.003394072 0.0045440267 0.0038414488 0.002972525 0.0031832985 0.0037329625 0.00279998 0.0028423415 0.0029838902 0.005220775 0.0032184273 0.0034973922 0.0030252184 0.0036658044 0.0031863982 0.00330315 0.0032742203 0.0045481594 0.002850607 0.0030448493 0.002712158 0.0035159898 0.0032308258 0.0029776911 0.0031523025 0.0050110347 0.003419902 0.0032762866 0.0028030798 0.0037680913 0.0030138532 0.0030613805 0.0031843316 0.0041369447 0.003002488 0.0031264722 0.00301282 0.0036523726 0.0028413082 0.002916732 0.0030448493 0.0046659447 0.0031192398 0.0038414488 0.0028609391 0.003566617 0.0031616013 0.0029880232 0.0031192398 0.0042536967 0.0031543688 0.003338279 0.0031719333 0.00364824 0.003200863 0.003333113 0.0033413786 0.0067106537 0.004065654 0.0037236637 0.0033362126 0.004121447 0.003262855 0.003307283 0.0032359918 0.00433222 0.003333113 0.0031233728 0.0030758453 0.003638941 0.00298699 0.003085144 0.002794814 0.00425473 0.0032762866 0.0031016755 0.0030045544 0.003710232 0.003028318 0.002941529 0.0029528942 0.0039736987 0.0031140738 0.002732822 0.0026346678 0.0035387203 0.0029559939 0.003598646 0.0028888357 0.0049542086 0.0032587224 0.0033982047 0.0029683923 0.0038094195 0.0030706793 0.0031987964 0.0029022673 0.0044407067 0.0054491125 0.0034643298 0.0031306052 0.003795988 0.0030872107 0.003246324 0.0031863982 0.004610152 0.0033238141 0.0034126695 0.003042783 0.003740195 0.0030985759 0.0033289802 0.0032504566 0.00436115 0.003042783 0.0031874313 0.0028609391 0.0040129605 0.003099609 0.004224767 0.004504765 0.011643232 0.0 0.0 0.0 0.0 0.0 1.0344942e-06 3.1034824e-06 0.0 1.0344942e-06 2.0689884e-06 0.0 0.0 1.0344942e-06 0.0 1.0344942e-06 0.002047264 4.1379767e-06 2.0689884e-06 6.206965e-06 5.172471e-06 1.0344942e-06 3.1034826e-05 1.1379436e-05 0.0 0.0 1.0344942e-05 0.0 0.0 0.0 0.0 0.0 0.0009481139 2.5862355e-06 6.206965e-06 1.29311775e-05 9.310447e-06 5.689718e-06 5.172471e-05 2.2758872e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028557212 3.569005e-05 2.7931343e-05 1.0862189e-05 2.2241626e-05 3.4655553e-05 4.241426e-05 1.8103648e-05 3.569005e-05 5.172471e-06 9.827695e-06 1.6034659e-05 2.6379601e-05 7.241459e-06 1.7069155e-05 1.29311775e-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 0.0008777683 1.1896683e-05 1.241393e-05 8.275953e-06 1.3448424e-05 1.6034659e-05 1.3448424e-05 1.1379436e-05 1.0862189e-05 1.3448424e-05 6.724212e-06 1.3448424e-05 1.1896683e-05 1.0344942e-05 1.8103648e-05 9.827695e-06 0.0016210524 6.517313e-05 5.689718e-05 4.8621227e-05 4.758673e-05 3.0517578e-05 2.2758872e-05 0.0005534544 3.000033e-05 1.7069155e-05 1.965539e-05 0.0002767272 2.0689884e-05 0.0002736237 1.6551907e-05 7.7587065e-05 0.0007412151 3.724179e-05 3.413831e-05 2.0689884e-05 2.2241626e-05 1.7069155e-05 1.3965671e-05 1.1896683e-05 1.6551907e-05 2.2758872e-05 1.9138142e-05 1.75864e-05 6.724212e-06 4.6552236e-06 2.2758872e-05 5.0690214e-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 0.0013153594 3.724179e-05 4.2931508e-05 6.000066e-05 4.241426e-05 3.1552074e-05 9.1552734e-05 5.844892e-05 3.931078e-05 5.7414425e-05 4.3966003e-05 4.2931508e-05 7.810431e-05 7.7587065e-06 8.7932e-06 0.00016086384 0.0011663922 6.931111e-05 4.603499e-05 4.603499e-05 3.8276285e-05 3.7759037e-05 4.758673e-05 6.000066e-05 5.2241954e-05 5.0690214e-05 6.827662e-05 5.172471e-05 7.5000826e-05 1.4482918e-05 4.3966003e-05 0.00025086483 0.004570395 0.00029172737 0.00027310647 0.000265865 0.00030517578 0.00023793367 0.00032896915 0.00030362405 0.00032534843 0.00035121077 0.00032431394 0.00035276252 0.0005182816 0.00015724312 0.0001877607 0.0007401806 0.0031898627 0.00027310647 0.0003000033 0.0002482786 0.00028810662 0.00028189967 0.00034241757 0.000931562 0.0004065562 0.00035069353 0.00032379667 0.00066776597 0.00046190165 0.00043448756 0.00017431227 0.0008591474 0.002246404 0.00018155373 0.00028965838 0.00024465786 0.0002979343 0.0002943136 0.00028500313 0.000401901 0.00044224627 0.00032224494 0.00024569235 0.0003165552 0.00045983266 0.00016138109 0.00018931243 0.0010365632 0.00034396932 5.4310945e-05 4.2931508e-05 4.5000495e-05 5.4310945e-05 4.810398e-05 5.327645e-05 5.172471e-05 7.03456e-05 4.810398e-05 3.8276285e-05 4.9138474e-05 4.448325e-05 2.6379601e-05 4.1897016e-05 4.7069483e-05 0.09907971 0.06202103 0.062438965 0.05532423 0.060611013 0.059556864 0.054962676 0.054478016 0.060486875 0.0531999 0.052169025 0.05298007 0.056447174 0.050616767 0.056661315 0.05388163 4039.0 5.702649 23033.0 0.017149307 0.010593496 0.009421265 0.0086831935 0.01345895 0.012503799 0.011895975 0.011461816 0.0125472145 0.009812009 0.00850953 0.008856857 0.013806278 0.010506664 0.011722311 0.009855425 0.016628316 0.0119393915 0.0086831935 0.0074675465 0.009855425 0.008552946 0.007901706 0.0083792815 0.010246169 0.008466114 0.009551513 0.008900274 0.011418399 0.009030522 0.009638345 0.009247601 0.018234707 0.010810576 0.010376416 0.009030522 0.010810576 0.008813442 0.01076716 0.00829245 0.014197022 0.0116354795 0.009725177 0.008943689 0.011505231 0.009291017 0.0116354795 0.009551513 0.014718013 0.009551513 0.00989884 0.009073937 0.012156472 0.009377849 0.009551513 0.009812009 0.01367603 0.009247601 0.010506664 0.009551513 0.011114488 0.009855425 0.010419833 0.010680328 0.017887378 0.01098424 0.009638345 0.008162202 0.01302479 0.008205618 0.009334433 0.00829245 0.015412669 0.009291017 0.008900274 0.0086831935 0.011331568 0.008162202 0.010029089 0.00785829 0.0131550385 0.007988539 0.008639778 0.008770025 0.011374984 0.009421265 0.0083792815 0.008031954 0.011114488 0.008943689 0.011895975 0.00850953 0.011244736 0.008987105 0.010072505 0.008770025 6.554899 0.0 0.0 0.0 14.0 967864.0 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: 0.18574138 0.0040602307 0.0033551608 0.0031606588 0.003557767 0.003298431 0.0031444503 0.0030390949 0.0030877204 0.0030877204 0.0030958247 0.0032903268 0.0032579098 0.0032579098 0.003330848 0.0029418438 0.003557767 0.003395682 0.0030958247 0.003136346 0.0031930758 0.0035010374 0.0030471992 0.0033065353 0.0029256353 0.0030228863 0.0031930758 0.0032579098 0.0028283843 0.0032254928 0.0030228863 0.0033875778 0.0031444503 0.0029337397 0.0032092843 0.0030471992 0.0029985737 0.0031039289 0.003395682 0.0031444503 0.0030715119 0.0032498054 0.00320118 0.00320118 0.0032741183 0.0030796162 0.0032417013 0.0029580523 0.0033794735 0.0032254928 0.0030309907 0.003298431 0.0032822224 0.0031039289 0.0029175312 0.003646914 0.003363265 0.0029337397 0.0031201374 0.003136346 0.0031849714 0.0029337397 0.0030147822 0.0029904693 0.0030877204 0.0033794735 0.0030228863 0.0028364887 0.0030228863 0.0033551608 0.003395682 0.0033065353 0.0030715119 0.003168763 0.0034848289 0.0031120332 0.0032173884 0.003428099 0.0031525544 0.0031201374 0.0031930758 0.003298431 0.0034848289 0.0032092843 0.003233597 0.0035658714 0.0031444503 0.0031201374 0.0031039289 0.0032092843 0.0033227438 0.0029823652 0.0033551608 0.0030877204 0.0029013227 0.0032417013 0.00320118 0.0031444503 0.0030390949 0.0033470565 0.0033065353 0.0031849714 0.003233597 0.003168763 0.003136346 0.0029094268 0.00352535 0.0031201374 0.0031120332 0.0033470565 0.003395682 0.0032822224 0.0033794735 0.0033551608 0.0031930758 0.003233597 0.0032417013 0.0031444503 0.0032417013 0.0032903268 0.0031120332 0.0030147822 0.0031039289 0.0030147822 0.0030796162 0.0031444503 0.0031201374 0.003492933 0.0029337397 0.0032822224 0.0030553034 0.00320118 0.003168763 0.003363265 0.0031768673 0.0032498054 0.0032092843 0.0031444503 0.0029823652 0.003808999 0.0030634077 0.0033713693 0.0030390949 0.0030553034 0.0031768673 0.0031849714 0.003460516 0.003266014 0.0030958247 0.0034199948 0.0028851142 0.003330848 0.0033794735 0.003428099 0.0028770098 0.003363265 0.0029094268 0.0029661567 0.0032092843 0.0027959673 0.003136346 0.0031282417 0.0031282417 0.0031525544 0.0031849714 0.0034037863 0.0031444503 0.0033227438 0.0030958247 0.0030877204 0.0031444503 0.0035172459 0.0035010374 0.003168763 0.0030796162 0.0031930758 0.0031768673 0.0031849714 0.0032173884 0.0029742608 0.0034199948 0.003136346 0.0030715119 0.0028851142 0.0030634077 0.0031039289 0.0035172459 0.0029904693 0.0032498054 0.003395682 0.0029661567 0.0031282417 0.0032254928 0.0031201374 0.0033875778 0.0030634077 0.0033146394 0.0032579098 0.0032417013 0.0032498054 0.0028770098 0.0029418438 0.0033794735 0.0031930758 0.003549663 0.0032498054 0.0029013227 0.0030553034 0.0032173884 0.0031120332 0.0031849714 0.0032173884 0.0032498054 0.003233597 0.003168763 0.0031930758 0.0029742608 0.003233597 0.0029175312 0.0034199948 0.003298431 0.0034686204 0.0032254928 0.003557767 0.0029256353 0.003136346 0.0031606588 0.0029499482 0.0031768673 0.0030471992 0.003298431 0.0032903268 0.0031606588 0.0033065353 0.0028770098 0.0034199948 0.003298431 0.0030553034 0.003168763 0.0031768673 0.0029742608 0.0029985737 0.00320118 0.0033551608 0.003233597 0.0030309907 0.0032254928 0.00320118 0.0033227438 0.0031282417 0.0029499482 0.0031201374 0.0031282417 0.0029337397 0.0032498054 0.0042385245 0.15126051 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008198201 0.0 1.23096115e-05 8.206408e-06 1.23096115e-05 2.051602e-05 1.23096115e-05 1.23096115e-05 1.23096115e-05 8.206408e-06 2.051602e-05 4.103204e-06 2.051602e-05 3.2825632e-05 1.23096115e-05 1.6412816e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0059660585 0.00016002495 4.103204e-05 5.334165e-05 0.000221573 0.00018054097 6.154806e-05 5.334165e-05 0.00059496454 3.6928835e-05 5.7444853e-05 5.7444853e-05 0.000114889706 8.206408e-06 0.00015592175 0.0006400998 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007984835 0.00071806065 0.00035287553 0.0004144236 0.00061137736 0.000623687 0.00068933825 0.0005539325 0.0010504202 0.00034056592 0.00034877233 0.00034056592 0.00046366203 0.00029543068 0.0005785517 0.0014402245 0.0039965203 0.0003077403 0.00029543068 0.00029132748 0.0003159467 0.00025439865 0.00039390757 0.00035287553 0.00029543068 0.0003036371 0.0002174698 0.00025439865 0.0002174698 0.0003159467 0.00036518514 0.00022567621 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.050928965 0.05023142 0.050083704 0.050104223 0.050452992 0.0508428 0.05042427 0.050580192 0.0495667 0.050604813 0.051359802 0.050354518 0.0507197 0.051593684 0.04980879 0.04906611 483.0 5.7971015 2800.0 0.007857143 0.008928572 0.012142858 0.011071429 0.011785714 0.011428571 0.012142858 0.010357142 0.010357142 0.011071429 0.008928572 0.012857143 0.0064285714 0.011428571 0.012857143 0.009642857 0.011785714 0.012142858 0.007857143 0.008928572 0.008571428 0.0075 0.008571428 0.0092857145 0.012857143 0.009642857 0.010714286 0.0092857145 0.011071429 0.009642857 0.008928572 0.008214286 0.0092857145 0.01 0.008571428 0.008214286 0.01 0.010357142 0.008928572 0.0075 0.008214286 0.0092857145 0.011428571 0.009642857 0.008928572 0.011071429 0.008928572 0.010714286 0.009642857 0.007857143 0.014642857 0.011071429 0.011428571 0.008928572 0.010714286 0.012142858 0.007857143 0.007857143 0.011071429 0.013928572 0.0125 0.0075 0.006785714 0.008214286 0.0092857145 0.010357142 0.010357142 0.015714286 0.011785714 0.018214285 0.011785714 0.01 0.010357142 0.0125 0.007142857 0.008214286 0.011071429 0.008928572 0.012142858 0.0132142855 0.01 0.0132142855 0.013928572 0.0125 0.014285714 0.009642857 0.009642857 0.012857143 0.011785714 0.008571428 0.0132142855 0.008928572 0.010357142 0.011428571 0.009642857 0.011428571 6.557292 0.0 0.0 0.0 2.0 123392.0 131072.0 0.0 0.0 11.0 1.0 0.0 0.0 0.0 0.0 1288989000.0 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 -1.0 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 121856.0 1024.0 4096.0 2.0 0.0 0.0 1.0 1.0 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 -121856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2537402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.2482843 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -121848.0 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 -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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 125652.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 126976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.20239964 0.0040613366 0.0030775047 0.0036090002 0.0032051282 0.0031195073 0.00263163 0.0026025511 0.0030742737 0.0015928712 0.0018077311 0.0012520032 0.0019078914 0.0012972369 0.0011776908 0.001823886 0.0018287324 0.0018739661 0.0013731648 0.0013553945 0.0016009486 0.0018368099 0.0011922301 0.001135688 0.0016461823 0.0026073977 0.0013586254 0.0015088659 0.0019967433 0.001208385 0.001344086 0.0011534585 0.0016332584 0.0011373035 0.0012875439 0.0025977048 0.012332635 0.0013634718 0.0012100005 0.0014313224 0.0013327776 0.0026461694 0.0012730046 0.0012245399 0.0012826974 0.0011082247 0.0013263157 0.0012988524 0.0014248604 0.0013069297 0.0017883452 0.001684954 0.001549253 0.0012907749 0.001615488 0.0021146738 0.0015961021 0.001347317 0.0011663823 0.0012972369 0.0012972369 0.001337624 0.001410321 0.0012423103 0.0019644334 0.0017204947 0.0011599204 0.0029272642 0.0015702543 0.0026574777 0.0015702543 0.0012520032 0.0015072504 0.001138919 0.0011146867 0.0010387588 0.0013925507 0.0014749406 0.0012520032 0.0012859284 0.001817424 0.0014555547 0.0014975574 0.0015169432 0.0017657283 0.0019014294 0.0018045001 0.0020549006 0.0012697736 0.002836797 0.0011631513 0.0011712288 0.0011114557 0.0010920699 0.0011631513 0.0013925507 0.0012132315 0.0016526442 0.0011776908 0.0018852745 0.002701096 0.0025702415 0.0014393998 0.0015993331 0.0014910954 0.0033117505 0.0016574907 0.001612257 0.0021227512 0.0015137122 0.0018190395 0.0018368099 0.0015799473 0.0013618564 0.0025104685 0.0016332584 0.0023844603 0.0018885055 0.001135688 0.0015831783 0.0012100005 0.0012923904 0.0011292261 0.0012164625 0.0014361688 0.001277851 0.0013279312 0.001022604 0.0013586254 0.0014006281 0.0012100005 0.0018885055 0.0011776908 0.0014410153 0.0010565291 0.0010274503 0.0012277709 0.0017366497 0.0013230847 0.0023117634 0.002492698 0.001416783 0.00135701 0.16455038 0.22732177 0.001221309 0.0011906147 0.0010532981 0.0011227642 0.0011227642 0.0009886787 0.00096606184 0.0010791459 0.0025912428 0.0012907749 0.00095152244 0.0011599204 0.0010888389 0.0016558752 0.0011227642 0.0012164625 0.0012633116 0.0011114557 0.0011049937 0.0012164625 0.0012633116 0.0011405345 0.001410321 0.0012003076 0.002780255 0.0011049937 0.0011712288 0.001135688 0.0013893197 0.0014280914 0.0012520032 0.0010775306 0.001003218 0.0010306813 0.00097413926 0.0009999871 0.0009159817 0.001012911 0.0010581446 0.0011163022 0.0009870632 0.0010242194 0.0010016026 0.0010080645 0.0010646066 0.001205154 0.0010355278 0.0015476375 0.0014426308 0.0012730046 0.0015944866 0.0013166227 0.0011502275 0.0013004679 0.0016429513 0.0012552342 0.0011793063 0.0016574907 0.0012633116 0.0015751008 0.0010597601 0.0012794666 0.0013036989 0.0012423103 0.0017721903 0.0014862489 0.0015411755 0.0011712288 0.0013247002 0.0017301877 0.0013586254 0.0013263157 0.0037931658 0.0022229115 0.0023909223 0.0015912557 0.0011566894 0.0017996536 0.0011938456 0.001337624 0.0012019231 0.0016171035 0.0011776908 0.0014620166 0.0013069297 0.0011308416 0.0012794666 0.001943432 0.002688172 0.0012826974 0.0012762356 0.0015476375 0.001208385 0.0013263157 0.0012568496 0.0016316429 0.0015040194 0.0016752611 0.0018626577 0.0025492401 0.0013263157 0.0021647539 0.0023941533 0.0016025641 0.0016574907 0.0012326173 0.0025136992 0.002344073 0.0013925507 0.0012487723 0.005054862 0.14425999 1.6195066e-06 8.097533e-07 1.21463e-05 7.2877797e-06 8.097533e-06 4.0487666e-06 2.42926e-06 4.0487666e-06 0.22052984 5.6682734e-06 8.097533e-07 1.6195066e-06 1.6195066e-06 1.6195066e-06 8.097533e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014664632 3.2390133e-06 0.0 2.42926e-06 0.0 0.0 0.0 8.097533e-07 0.000116604475 0.0 0.0 0.0 5.6682734e-06 0.0 4.0487666e-06 5.9111993e-05 0.000113365466 6.4780265e-06 3.2390133e-06 6.4780265e-06 7.2877797e-06 5.6682734e-06 8.097533e-06 5.6682734e-06 8.907286e-06 0.0014518877 4.0487666e-06 4.85852e-06 5.6682734e-06 8.097533e-06 7.2877797e-06 1.1336547e-05 0.0010259574 9.71704e-06 1.1336547e-05 1.3765806e-05 1.1336547e-05 1.2956053e-05 1.21463e-05 7.2877797e-06 1.0526793e-05 0.0021417974 9.71704e-06 8.097533e-06 1.21463e-05 8.097533e-06 1.0526793e-05 1.1336547e-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 0.0015142387 4.372668e-05 4.453643e-05 3.2390133e-05 4.7775447e-05 0.00020405784 3.8058406e-05 7.935583e-05 3.4009638e-05 0.0013433808 8.907286e-05 2.5102352e-05 3.4009638e-05 0.00017733598 3.886816e-05 0.0012292055 0.0040495764 0.0007652169 0.00013279954 0.00012065325 0.00022511142 0.00020081882 0.00034576465 0.00021377488 0.00031985255 5.4253473e-05 4.453643e-05 3.886816e-05 0.0003247111 0.00035629145 4.696569e-05 0.0010526793 0.0047184327 0.0006348466 0.0002307797 0.0008405239 0.000116604475 9.231188e-05 0.00069962686 0.00039758888 0.0004097352 7.449731e-05 0.000119033735 8.745336e-05 7.0448536e-05 0.00020243833 0.00016195067 0.0010939768 0.02051267 0.0015773994 0.009481401 0.00089801644 0.0016980527 0.0026592298 0.003903011 0.0016761894 0.017153004 0.0027426344 0.0012680737 0.00015142387 0.00037005727 0.0017247746 0.0015004729 0.0023353286 0.006325793 0.0007886997 0.00089558715 0.0007158219 0.00105025 0.0010567281 0.0022138655 0.0011992446 0.0011692838 0.0003797743 0.0004388863 0.00023644797 0.000607315 0.0016429895 0.00068424153 0.0021539438 0.02186334 0.0020891635 0.0024414062 0.0039799376 0.0027742148 0.0018203255 0.0025069963 0.0018259938 0.005737912 0.0016008823 0.0015417703 0.0013530978 0.0015158582 0.0020583929 0.0014178781 0.0018575741 0.009615011 0.0021328903 0.002566918 0.0013976343 0.002157183 0.0017846964 0.0024276404 0.0014899462 0.011027221 0.00114904 0.0013109907 0.0007838412 0.0019417885 0.0024940402 0.0020478661 0.0037661628 0.021924881 0.016359447 0.018294757 0.015194211 0.016728694 0.016940039 0.01660642 0.016654197 0.15120442 0.014896222 0.016319769 0.013777143 0.016662294 0.017940894 0.01687526 0.018264797 0.0009004457 0.0006502319 0.00019919932 0.0001093167 0.00022106266 0.0002623601 0.00032875984 0.00014980436 0.00024373575 0.0001732872 8.259484e-05 7.368755e-05 0.00033766712 0.0005498225 0.000298799 0.00039434986 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1694.0 12.652302 21433.0 0.011944198 0.0031260205 0.0050389585 0.0065786405 0.010311202 0.0031260205 0.0045257313 0.009844632 0.0035925908 0.0044324175 0.0034059628 0.0032193346 0.005412215 0.0046657026 0.005785471 0.005132273 0.005365558 0.003965847 0.015723417 0.00923809 0.0062986985 0.0046657026 0.01301731 0.02682779 0.012597397 0.0064386693 0.0037325618 0.0039191903 0.006018756 0.00877152 0.008211636 0.003965847 0.012784025 0.009378062 0.003685905 0.04684365 0.01175757 0.0068119257 0.016703214 0.0070918677 0.008911491 0.005692157 0.0048056734 0.003639248 0.008025008 0.005738814 0.004105818 0.00438576 0.0069985534 0.004012504 0.011850884 0.012130827 0.020669062 0.017962955 0.015583446 0.024868194 0.005132273 0.008584892 0.0032659918 0.0061120703 0.0048989877 0.0034992767 0.004152475 0.00737181 0.0030327067 0.015023562 0.0049923016 0.011897542 0.04357766 0.03727896 0.008118322 0.013390566 0.007791723 0.022535343 0.0055055288 0.019455979 0.031586807 0.01646993 0.022768628 0.023888396 0.01348388 0.0055055288 0.03825876 0.015816731 0.024261653 0.009004805 0.0055521857 0.01600336 0.0055055288 0.0068585826 0.0030327067 0.0048056734 0.00863155 0.0030327067 0.0032659918 0.0033126487 6.1669908 0.0 1.0 0.0 4.0 619008.0 630784.0 0.0 0.0 317.0 0.0 1.0 0.0 0.0 0.0 1495658900.0 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 -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 9.0 0.0 5.0 0.0 5.0 0.0 323072.0 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 240128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -323072.0 0.0 50176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.345328 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0322146 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.094198 0.0 6.5609856 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 239738.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -322926.0 0.0 50088.0 0.0 0.0 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 -1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 2.0 2.0 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 -1.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 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 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 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 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 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 -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 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 -1.0 0.0 -1.0 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 -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 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 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 -2.0 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 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 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 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 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 -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 -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 -1.0 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 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 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 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 -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 -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 -1.0 1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 1.0 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 -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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 2.0 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 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 -1.0 -1.0 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 -1.0 2.0 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 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 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 -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 -1.0 -1.0 2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 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 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 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 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 -1.0 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 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 -1.0 0.0 2.0 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 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 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 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 0.0 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 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 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 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 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 560480.0 50088.0 577536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1300.0 327680.0 0.0 0.0 0.0 0.0


Input: 0.23791486 0.026905965 0.020292208 0.011333574 0.017316017 0.007545695 0.021254208 0.0062830686 0.008778259 0.0061327564 0.015782828 0.0068843192 0.003848004 0.004238817 0.007816258 0.005501443 0.006523569 0.009018759 0.009770323 0.005291005 0.0028860029 0.0056517557 0.003457191 0.0028559403 0.0021344395 0.0015933141 0.0012926888 0.0021645022 0.0024651275 0.0020141895 0.0021945648 0.0011724387 0.011874699 0.003397066 0.0029160655 0.0013227513 0.0015933141 0.0027056278 0.0017436268 0.0021344395 0.008327321 0.0012025012 0.0050805677 0.0029160655 0.003336941 0.0033068783 0.00748557 0.0030363156 0.013678451 0.005441318 0.0028860029 0.0028559403 0.0024350649 0.0028860029 0.001924002 0.0018037518 0.0028258779 0.0018939395 0.0017135643 0.0010521886 0.001984127 0.0009319384 0.0020442521 0.0008718134 0.0012325638 0.004028379 0.0013828764 0.005050505 0.003787879 0.0026154402 0.003787879 0.0019540645 0.0028258779 0.003787879 0.00075156323 0.0007215007 0.0018037518 0.0018338143 0.004028379 0.0018037518 0.0018037518 0.001473064 0.0021344395 0.0057720058 0.0027356902 0.0030363156 0.0013227513 0.0012325638 0.0012626263 0.0015933141 0.0012025012 0.00063131313 0.0015933141 0.0010221261 0.0006012506 0.005260943 0.0017436268 0.01247595 0.0039381916 0.008988696 0.006974507 0.030212842 0.0042087543 0.007876383 0.0038780663 0.021073833 0.0009319384 0.0027657528 0.01223545 0.0076358826 0.013888889 0.016233766 0.006854257 0.0017436268 0.01818783 0.014039202 0.021765271 0.007665945 0.0024350649 0.0026755652 0.0019540645 0.0041786917 0.0024050025 0.005050505 0.0010221261 0.0031265032 0.0012926888 0.00057118805 0.005621693 0.0025252525 0.0027356902 0.0008718134 0.00057118805 0.0009018759 0.0039381916 0.00063131313 0.0009018759 0.0012025012 0.0008116883 0.0008116883 0.0006012506 0.00057118805 0.0004810005 0.0007215007 0.0006012506 0.0021043771 0.0004810005 0.0010822511 0.0006012506 0.00063131313 0.0009319384 0.00063131313 0.0007215007 0.0012025012 0.0004208754 0.0006012506 0.00036075036 0.00075156323 0.0007215007 0.00054112554 0.0015031265 0.0010521886 0.000962001 0.00066137564 0.00051106303 0.0009319384 0.0003908129 0.00063131313 0.0006012506 0.0007816258 0.00045093795 0.0003006253 0.000962001 0.00045093795 0.00063131313 0.00075156323 0.0003006253 0.0004810005 0.00051106303 0.0007215007 0.0004810005 0.00075156323 0.00075156323 0.00054112554 0.0003006253 0.0004208754 0.0004810005 0.00054112554 0.0004810005 0.00051106303 0.00036075036 0.00045093795 0.00063131313 0.0010822511 0.00063131313 0.00066137564 0.00063131313 0.0004208754 0.0009319384 0.0004208754 0.0006012506 0.00054112554 0.00045093795 0.0006012506 0.0004810005 0.0006914382 0.0004208754 0.00057118805 0.0006914382 0.00063131313 0.00057118805 0.00051106303 0.0004208754 0.00051106303 0.00066137564 0.0013828764 0.00054112554 0.00045093795 0.00066137564 0.00066137564 0.0009920635 0.00051106303 0.0012325638 0.0004208754 0.00063131313 0.0008417508 0.00057118805 0.0003908129 0.00066137564 0.0006012506 0.0009018759 0.00036075036 0.0003006253 0.0006012506 0.00051106303 0.0007816258 0.00036075036 0.00036075036 0.0004208754 0.0011423761 0.00045093795 0.0009018759 0.00054112554 0.00063131313 0.00066137564 0.0006012506 0.00066137564 0.0011724387 0.0004810005 0.0007816258 0.0003006253 0.00054112554 0.00045093795 0.0010221261 0.0016835016 0.0010822511 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0711473 0.0034337197 0.005638861 0.0031974546 0.010978453 0.0074502267 0.058357485 0.029627645 0.00085055444 0.0003937752 0.00042527722 0.00025201612 0.00034652217 0.00045677923 0.00037802418 0.0006142893 0.12641759 0.015372984 0.02376827 0.0066154236 0.00765499 0.0054498487 0.0351405 0.03093498 0.001968876 0.0007717994 0.0005355343 0.00023626511 0.00029926916 0.0014333418 0.00015751008 0.0013073337 0.07766822 0.010364164 0.0068516885 0.004095262 0.0043787803 0.0026619204 0.0028981855 0.0029139365 0.0043945312 0.0026146674 0.001811366 0.0014333418 0.0015278478 0.002000378 0.001795615 0.0016223538 0.054592993 0.015609249 0.0054813507 0.004032258 0.004048009 0.004583543 0.0179719 0.008269279 0.0053710938 0.002268145 0.00083480345 0.00092930946 0.0016381048 0.0010238155 0.0013860887 0.0009923135 0.033864666 0.0055128527 0.005985383 0.011057207 0.0030714467 0.004142515 0.018964214 0.007576235 0.0015593498 0.0013388357 0.0007087954 0.00042527722 0.00067729334 0.0007245464 0.0006142893 0.0005512853 0.013089088 0.0014805947 0.0017326109 0.0025674144 0.0013388357 0.0011025706 0.0030871977 0.001937374 0.0013073337 0.0005985383 0.00094506046 0.00033077117 0.0006300403 0.0007087954 0.00069304433 0.0007087954 0.00765499 0.0014333418 0.0025044102 0.0029296875 0.0017326109 0.0016381048 0.005213584 0.0030714467 0.0014018397 0.0006300403 0.0008033014 0.00064579136 0.0005512853 0.0008033014 0.0005197833 0.0007245464 0.025800152 0.007103705 0.010206653 0.011986517 0.0074502267 0.0055916077 0.01718435 0.011813256 0.0066154236 0.0031974546 0.004615045 0.0030556957 0.0033707158 0.0032604586 0.0034337197 0.0043472783 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 437.0 18.2746 7986.0 0.014650638 0.0003756574 0.0005008765 0.0005008765 0.001001753 0.0003756574 0.00012521913 0.00012521913 0.0013774105 0.0007513148 0.00012521913 0.00012521913 0.0006260957 0.002003506 0.022539444 0.008264462 0.02604558 0.013523666 0.006887052 0.0051339846 0.0050087655 0.003756574 0.0038817932 0.0032556974 0.0030052592 0.00288004 0.0032556974 0.0003756574 0.0045078886 0.0003756574 0.0047583273 0.0 0.00012521913 0.011269722 0.002003506 0.01590283 0.011895818 0.006636614 0.011144503 0.003756574 0.0022539443 0.009516655 0.00012521913 0.0003756574 0.004633108 0.0032556974 0.004132231 0.0038817932 0.003756574 0.00012521913 0.0052592037 0.017781116 0.0072627096 0.0003756574 0.0012521914 0.0017530678 0.0 0.00025043826 0.0013774105 0.0 0.001001753 0.0003756574 0.00012521913 0.018908089 0.001878287 0.03218132 0.012396694 0.031680442 0.020661157 0.09842224 0.010643627 0.026796894 0.011394941 0.06761833 0.0006260957 0.006761833 0.038442273 0.023666415 0.042324066 0.04620586 0.01590283 0.0015026296 0.056223392 0.035687454 0.07575758 0.02454295 0.004633108 0.0073879287 0.0048835464 0.010017531 0.0008765339 0.0 0.00012521913 0.0 0.00012521913 0.0 5.271456 1.0 20.0 0.0 1.0 33264.0 49152.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 2858303000.0 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 -2.0 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 6.0 0.0 23552.0 512.0 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 -23552.0 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 -5.869897 0.0 3.1822329 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 -23464.0 0.0 1076.0 0.0 0.0 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 31567.0 1076.0 32768.0 0.0 0.0 7152.0 26112.0 12.0 40960.0 56.0 31392.0 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