Input: 0.07410019 0.0052916235 0.003759085 0.004110211 0.005150494 0.0037222265 0.004402169 0.0036475393 0.0039011843 0.0036184406 0.003606801 0.0039618067 0.0042169066 0.0034976804 0.0033769202 0.0039947857 0.005115091 0.0033827398 0.0041393097 0.003402624 0.0036169856 0.0036426894 0.0038497762 0.003400199 0.003532114 0.00413834 0.0034938005 0.003356066 0.003457912 0.0033725554 0.0034171736 0.0033672205 0.0041635586 0.0033618857 0.0034923456 0.00350641 0.0036848828 0.0033817699 0.0033706154 0.003905549 0.0034918606 0.0033904996 0.0038997293 0.0033657656 0.003430753 0.0034520922 0.0038720854 0.0033536411 0.0036116508 0.0034734313 0.0039710216 0.0037489003 0.003433663 0.003457427 0.0034923456 0.0033764353 0.0035854618 0.0034744013 0.003433178 0.0034671265 0.003456942 0.003457912 0.003357036 0.0034263881 0.0046863677 0.0036203805 0.0039443476 0.003951622 0.0038876047 0.003681488 0.003555878 0.004083537 0.004035039 0.0033924396 0.003358006 0.0034225082 0.003433178 0.003527264 0.0034113538 0.0034375428 0.003831347 0.0037479303 0.0034942855 0.003827467 0.0035893416 0.0034496672 0.0038667505 0.003804673 0.0034729464 0.0034433624 0.0034084439 0.003406019 0.0059720515 0.0034399678 0.0034428774 0.003534539 0.0034850708 0.004099056 0.0037023423 0.0040001203 0.0045782174 0.005177168 0.0041213655 0.0035699424 0.0036145607 0.004709162 0.0036412347 0.0036829428 0.0040287343 0.0041407645 0.004312933 0.004465217 0.0041747135 0.0033744953 0.0044157486 0.004833802 0.004609741 0.004057348 0.003908944 0.003731926 0.0035505432 0.003681973 0.0034215383 0.0033667355 0.0034506372 0.0034530621 0.0033711004 0.003406504 0.004356096 0.0033808 0.0033410315 0.003760055 0.0034962255 0.003581582 0.003607286 0.003429783 0.0034734313 0.003660149 0.0033929246 0.004114091 0.003458397 0.003727561 0.0034700364 0.0034152337 0.0034370578 0.0034229932 0.0036194106 0.0033521862 0.0033478213 0.0033769202 0.0034467573 0.003401169 0.0032770142 0.0033735253 0.0035680025 0.0034200836 0.0035165946 0.0034181436 0.0034782812 0.0033924396 0.003381285 0.0034394828 0.0034108688 0.0036145607 0.0034234782 0.0033963195 0.0033647956 0.003381285 0.0034365728 0.0033677055 0.0033691605 0.003927858 0.0036121358 0.003329392 0.003359461 0.003306598 0.0035733373 0.0033938945 0.003333272 0.0033517012 0.0034744013 0.0033793452 0.0034530621 0.0033958345 0.0045171096 0.003403594 0.003432693 0.0033977744 0.003433178 0.0034234782 0.003705737 0.0033997144 0.0043910146 0.003455972 0.0033904996 0.0034098988 0.0034356029 0.0033686755 0.0035165946 0.0039031242 0.0033958345 0.0034491823 0.0034889507 0.003434633 0.0034215383 0.0033429714 0.003457912 0.0034409375 0.0034821609 0.0033774052 0.0034152337 0.0036732433 0.003402624 0.0039031242 0.0034453024 0.0034171736 0.003456457 0.0034103838 0.0033740103 0.0036984624 0.0034472423 0.003328907 0.003404079 0.0033793452 0.003429783 0.0033696454 0.0033764353 0.0034535471 0.003951622 0.003330847 0.0033618857 0.0034695514 0.003880815 0.003928828 0.0034501522 0.0034942855 0.003556848 0.0033104778 0.0034370578 0.0035165946 0.0035728524 0.0034200836 0.0033885597 0.0034744013 0.0034181436 0.0033914696 0.0034268731 0.0033633406 0.003729016 0.003401654 0.0033948645 0.0033822549 0.0036713034 0.003457427 0.003460337 0.0044210833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00048027266 0.0 4.8536904e-06 2.426845e-07 9.70738e-07 2.1841606e-06 4.611006e-06 3.3975832e-06 2.426845e-07 0.0 0.0 0.0 0.0 2.426845e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017097124 2.742335e-05 2.1598922e-05 2.208429e-05 2.03855e-05 6.7466295e-05 2.3055029e-05 1.7473285e-05 1.6017178e-05 7.765904e-06 8.008589e-06 7.52322e-06 1.1406172e-05 7.52322e-06 8.251273e-06 1.23769105e-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 0.00030990812 0.0 3.980026e-05 5.581744e-06 4.8536904e-06 3.1548986e-06 8.008589e-05 5.3390595e-05 0.0 0.0 2.426845e-07 0.0 0.0 0.0 0.0 0.0 0.0006156906 3.2034357e-05 4.101368e-05 1.3104964e-05 3.1063617e-05 1.9172077e-05 0.00011794468 6.382603e-05 8.251273e-06 5.581744e-06 6.7951664e-06 9.464697e-06 9.464697e-06 8.251273e-06 9.464697e-06 2.9122143e-06 0.029991439 0.0020650025 0.0012850146 0.0005125497 0.0019079857 0.0014551363 0.002520036 0.0017342236 0.0006040418 0.00046789576 0.0006974753 0.0008593459 0.0008197883 0.00061641866 0.00070912414 0.00047420556 0.04067805 0.0023382653 0.0013811176 0.0013017597 0.0025921133 0.00308452 0.0067827897 0.004101368 0.00069650455 0.0005127924 0.0008481824 0.00086444226 0.0009151633 0.00091759017 0.0006419005 0.00043489065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00085085194 3.3975834e-05 4.659543e-05 4.5382007e-05 0.0001441546 9.610307e-05 0.00023904425 0.00015167783 5.9943075e-05 2.3783083e-05 2.208429e-05 4.1499054e-05 3.494657e-05 7.474683e-05 7.790173e-05 4.5382007e-05 0.0006462689 7.7173674e-05 0.00010386897 5.047838e-05 9.464696e-05 7.9115154e-05 0.00058195746 0.00016915111 6.819435e-05 2.9850196e-05 2.0628184e-05 2.1841606e-05 8.1542e-05 0.00011309099 0.00017934386 0.00016793769 0.0036982694 0.00048027266 0.00035334865 0.0003713073 0.00067830324 0.00086347153 0.0005909368 0.00076251477 0.0018674574 0.00022642466 0.00018759513 0.00043586138 0.00070451316 0.00031063618 0.0007508659 0.001137705 0.0012117238 0.0002334625 0.00015531809 0.00018856587 0.00029583243 0.00046110057 0.00026695296 0.0003448547 0.0007066973 5.5089386e-05 9.149206e-05 0.00013129233 0.00032010087 0.0001160032 0.00032204235 0.00056666834 0.053767726 0.05342627 0.05372186 0.053741757 0.053683516 0.05361071 0.05409292 0.05339836 0.05367793 0.053560473 0.05327435 0.053736906 0.053445198 0.053479172 0.053662885 0.05357285 8586.0 5.8574424 50292.0 0.011214507 0.0097431 0.010299849 0.009623797 0.010021474 0.0099220555 0.009444842 0.009822636 0.0097431 0.009047165 0.010220313 0.009444842 0.010518571 0.009762984 0.0112343915 0.010021474 0.0095641455 0.010180546 0.010220313 0.010598107 0.0099220555 0.0093454225 0.009265888 0.009723216 0.010120894 0.010339617 0.01010101 0.0093454225 0.009086932 0.009067048 0.009643681 0.010160661 0.010160661 0.010836714 0.009902171 0.010816829 0.009047165 0.009802752 0.011035552 0.0105782235 0.009703333 0.010180546 0.009206235 0.010498688 0.010439036 0.009782868 0.0099220555 0.010260081 0.009862403 0.010240197 0.011532649 0.01020043 0.010180546 0.009683449 0.009504493 0.010319733 0.009782868 0.009365306 0.010439036 0.0099220555 0.009464726 0.010240197 0.009802752 0.011413346 0.009961823 0.012745566 0.010538455 0.011771256 0.011930327 0.016424084 0.010717411 0.011294043 0.010439036 0.013083592 0.010120894 0.0093454225 0.012467192 0.0112343915 0.014236857 0.012208701 0.011393462 0.008828442 0.013978367 0.0127654495 0.0139982505 0.0105782235 0.010697527 0.01010101 0.009265888 0.011174739 0.010260081 0.009981707 0.0089079775 0.009285771 0.009703333 0.009663565 6.575281 1.0 0.0 0.0 33.0 2061938.0 352256.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1442778200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 166400.0 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 20992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166400.0 0.0 14848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.991176 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9657164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.640562 0.0 7.987367 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20643.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166372.0 0.0 14632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 192624.0 220.0 187380.0 14632.0 335872.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 173056.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 183424.0 0.0 0.0 916.0 172032.0 0.0 0.0 0.0 0.0


Input: 0.21420175 0.0047075497 0.0027135701 0.0033507647 0.0040154243 0.0020489101 0.0037187994 0.0022466602 0.002219195 0.0021477852 0.005586439 0.001845667 0.0017962295 0.0047899457 0.0018566531 0.001642424 0.0018786254 0.0020159518 0.0013897434 0.002521313 0.0014831254 0.0015105907 0.0017632712 0.0017083407 0.0018236948 0.0014611532 0.0015710143 0.0016918615 0.0018182017 0.001939049 0.0017138338 0.0016643963 0.119314685 0.0015325629 0.0061357445 0.001730313 0.0014007295 0.0013952365 0.001735806 0.0013348128 0.001642424 0.0015710143 0.0018621462 0.0018676393 0.0018731323 0.0023125769 0.0110245645 0.0045152926 0.007146467 0.00503164 0.0036583757 0.002307084 0.00212032 0.0020818685 0.0024389173 0.0019939796 0.0019005976 0.0020928546 0.00424064 0.0015270698 0.0033452716 0.0039385217 0.0033178064 0.0022906046 0.0014721393 0.0040978203 0.0031200564 0.0040099313 0.0038451396 0.0038451396 0.002988223 0.002521313 0.0022741256 0.0036144312 0.0015765073 0.0017577781 0.0038176745 0.003174987 0.0032518897 0.0030321674 0.0035155562 0.0014886184 0.0032628758 0.0033287925 0.0029223063 0.0029827298 0.001730313 0.0019500351 0.0020159518 0.0016973546 0.0014172087 0.0016698893 0.005048119 0.0014721393 0.0014831254 0.010321454 0.0014776323 0.012386843 0.0041252854 0.008239585 0.008245078 0.020560512 0.0054600984 0.0054271403 0.0029168131 0.014292934 0.0012688962 0.0034825979 0.0073002726 0.00715196 0.015973808 0.013232774 0.007492529 0.0019775005 0.011941905 0.0115903495 0.011919933 0.0064543416 0.002224688 0.0022686324 0.0048064245 0.0027685007 0.0019994727 0.002510327 0.0016314379 0.00251582 0.0016918615 0.0017577781 0.0020763755 0.0017797503 0.0023565213 0.0016918615 0.0013732642 0.0013183337 0.0024444102 0.0013677712 0.0015490421 0.0016314379 0.0012139656 0.0013787573 0.0014666462 0.0013787573 0.0016314379 0.0014996046 0.0015600282 0.0014941115 0.0013952365 0.0015655212 0.0013403059 0.0015160837 0.0015215768 0.0015655212 0.001543549 0.0015929865 0.0013622781 0.0015929865 0.0013238267 0.0016039726 0.0016698893 0.001543549 0.0015765073 0.001543549 0.0014611532 0.0014391809 0.0013073476 0.0014281948 0.0013073476 0.001351292 0.0013677712 0.0012743892 0.0013348128 0.0013403059 0.0015984796 0.001351292 0.0017028477 0.0017577781 0.0014886184 0.0015160837 0.0014117156 0.0015490421 0.0014227018 0.0014117156 0.001642424 0.0013897434 0.0014281948 0.0014611532 0.001450167 0.0015050976 0.0015105907 0.0014941115 0.0015270698 0.0015545351 0.0015929865 0.0016314379 0.0012908684 0.0015984796 0.0014336879 0.0014062226 0.0015105907 0.001730313 0.0014227018 0.0013348128 0.0015710143 0.0015490421 0.0016204518 0.001345799 0.0017083407 0.001840174 0.0013842504 0.0015215768 0.0015600282 0.0013622781 0.00125791 0.0013567851 0.0014886184 0.0018072156 0.0015655212 0.001450167 0.001450167 0.0015655212 0.001351292 0.0014172087 0.0014666462 0.0016973546 0.0016204518 0.0018017226 0.0014776323 0.0015765073 0.0018017226 0.0016149587 0.0012853753 0.0019115837 0.0016479171 0.0016534101 0.0011974864 0.0016808754 0.0015160837 0.0019280629 0.0015765073 0.0016973546 0.0014336879 0.0015050976 0.0018017226 0.0026970909 0.0015325629 0.0016259449 0.0014281948 0.0021752506 0.0016973546 0.0015874935 0.0017083407 0.0016479171 0.001538056 0.0017193268 0.0018566531 0.003191466 0.00050770154 0.0 0.050628662 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.658381e-05 0.0 0.0053849653 4.9937855e-05 8.322976e-06 2.7743254e-06 0.00011929599 4.9937855e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.600408e-05 1.10973015e-05 0.005312833 2.2194603e-05 3.6066227e-05 2.4968927e-05 3.6066227e-05 2.2194603e-05 1.6645952e-05 2.2194603e-05 1.3871627e-05 1.3871627e-05 1.9420277e-05 2.4968927e-05 1.6645952e-05 2.7743254e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009646329 0.00011929599 0.00014703925 8.045544e-05 6.1035156e-05 0.00033569336 0.00013316762 9.432706e-05 0.00027188388 7.4906784e-05 4.9937855e-05 4.716353e-05 5.271218e-05 3.8840553e-05 0.00014981357 6.1035156e-05 0.0045443447 0.00011374734 0.00013316762 4.716353e-05 6.1035156e-05 6.935813e-05 0.00018033115 0.00010265003 0.00024968927 4.4389206e-05 1.3871627e-05 4.161488e-05 3.8840553e-05 1.10973015e-05 8.322976e-06 2.2194603e-05 0.00688865 2.7743254e-06 0.001842152 0.00022749467 0.00077126245 0.0002857555 0.0008045543 0.0005243475 0.0 2.7743254e-06 5.5486507e-06 0.0 0.0 0.0 8.322976e-06 0.0 0.13696566 0.0002940785 0.04158436 0.0049244273 0.0040893555 0.002943559 0.045801338 0.022194602 0.00015536221 7.768111e-05 8.045544e-05 5.826083e-05 9.1552734e-05 2.7743254e-05 0.00077403674 0.0013011586 0.04250821 0.0002413663 0.008519953 0.0015730425 0.0018976385 0.0017977628 0.014531916 0.006658381 0.00029962714 6.935813e-05 3.8840553e-05 4.161488e-05 5.826083e-05 3.3291904e-05 0.00031072443 0.0009654652 0.0059731225 5.5486507e-06 0.006461404 0.0024025657 0.007945668 0.010828191 0.020893443 0.007973411 2.7743254e-06 0.0 8.322976e-06 0.0 0.0 0.0 0.0 5.5486507e-06 0.002344305 2.7743254e-05 0.006167325 0.0015813654 0.0014010343 0.0024552778 0.0053183814 0.0027604536 3.0517578e-05 7.2132454e-05 7.4906784e-05 0.000108198685 0.00010542436 4.716353e-05 7.4906784e-05 0.00015813654 0.0027410334 0.00031349875 0.00090720435 0.0015841398 0.0015092329 0.0005604137 0.0017422762 0.001048695 0.0001969771 9.710139e-05 0.000108198685 9.987571e-05 0.00014149059 9.987571e-05 0.00011652166 9.710139e-05 0.0041587134 0.0008350719 0.0071078213 0.005057595 0.0040310947 0.0015480735 0.007149436 0.004108776 0.00089333276 0.00068803265 0.0006630637 0.0006797097 0.00076293945 0.00071855023 0.0005992543 0.00077126245 0.000682484 0.00022194603 0.0017034357 0.0017450507 0.0012318004 0.00045221503 0.0025912197 0.0014204546 0.000230269 0.00015536221 0.00013316762 0.00015813654 0.00017755682 0.00017200816 0.00015813654 0.0001303933 0.010953036 0.003692627 0.005307284 0.0055930396 0.003956188 0.004042192 0.008217552 0.0048883613 0.0029213645 0.001944802 0.0020058372 0.0017700195 0.0017173074 0.0016340776 0.0018477007 0.0020086116 0.029585404 0.02182839 0.02115978 0.024247603 0.021420566 0.020940607 0.02434193 0.023925781 0.020718662 0.020979447 0.019989014 0.02078247 0.021478826 0.02091009 0.021980979 0.023664994 797.0 47.503136 37860.0 0.35171685 0.0006603275 0.009086107 0.001294242 0.00076597993 0.0006867406 0.00089804543 0.0006603275 0.0010036979 0.0011621765 0.0017168516 0.0006603275 0.00092445855 0.0026677232 0.027733756 0.009059694 0.015953513 0.013602747 0.01022187 0.0034865292 0.0029846805 0.002879028 0.004701532 0.002350766 0.0024035922 0.0034865292 0.007976756 0.0010036979 0.0027469625 0.004120444 0.002588484 0.0013470681 0.00044902271 0.009138932 0.006101426 0.008716323 0.010036978 0.009297412 0.005969361 0.002377179 0.0025092445 0.0077918647 0.0012678289 0.001558373 0.008135235 0.0063919704 0.006497623 0.00340729 0.0066825147 0.00050184893 0.0061542527 0.0036185947 0.004965663 0.0010829371 0.00063391443 0.0020338087 0.0029318542 0.0013470681 0.0011621765 0.0005546751 0.017960908 0.0008188061 0.0008188061 0.033544637 0.00042260962 0.01627047 0.006576862 0.013681986 0.01627047 0.028922345 0.015636556 0.010274696 0.005309033 0.026360275 0.0003433703 0.0056524035 0.015821448 0.012387744 0.026439514 0.02461701 0.012704701 0.000528262 0.02120972 0.01780243 0.022768093 0.007025885 0.001030111 0.0027469625 0.00715795 0.0019017432 0.001030111 0.005018489 0.0008188061 0.0048864237 0.00092445855 0.00044902271 4.7003107 2.0 52.0 0.0 1.0 182048.0 176128.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1536696700.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 1.0 6.0 1.0 0.0 1024.0 4096.0 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 0.0 512.0 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 164352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.305502 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.1107965 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 188.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 164020.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 55.0 4128.0 0.0 0.0 164020.0 8192.0 0.0 0.0 16160.0 165888.0 0.0 0.0 28.0 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


Input: 0.05664863 0.008295521 0.006169632 0.0056469576 0.0057504573 0.0049617877 0.0041917483 0.0054182224 0.0050456226 0.0056262575 0.0037570484 0.004464988 0.004956613 0.0031795185 0.004332508 0.004638868 0.005041483 0.0037622233 0.0049328078 0.004155523 0.004364593 0.0031877987 0.0041130884 0.0038367433 0.005070463 0.0033471885 0.0031619235 0.0029269787 0.004139998 0.0034486186 0.0037849934 0.0037963784 0.0061737723 0.0038119033 0.0034972634 0.0030242687 0.004887268 0.004163803 0.0038367433 0.0037187533 0.004728913 0.0038895283 0.0033389085 0.0030936135 0.004367698 0.0037166835 0.0037208234 0.0035893784 0.0055155125 0.0039557684 0.0031049987 0.0028938588 0.0036804583 0.0030811937 0.0026889287 0.0028710887 0.004170013 0.0033161386 0.0035283135 0.0033502935 0.0040023434 0.0032188485 0.0035055436 0.0034589684 0.006589842 0.0039640483 0.0036276735 0.0032281636 0.004157593 0.0032167786 0.0035428035 0.0030656687 0.0049938727 0.0037777484 0.0037052983 0.0035842033 0.004128613 0.0031298387 0.0035531535 0.0034703535 0.005163613 0.0036214634 0.0036576884 0.0033347686 0.0039226483 0.0033792735 0.0033554686 0.0035407334 0.004654393 0.0036504434 0.0038087983 0.0035107185 0.0041017034 0.0033916936 0.0036939133 0.0037922384 0.0059057074 0.0036307783 0.0033523636 0.0029528537 0.004009588 0.0030573886 0.0032623187 0.0030356536 0.0049617877 0.0031650285 0.0032043585 0.0030491087 0.0035955885 0.0028441788 0.0030915437 0.0031909037 0.004508458 0.0032850886 0.0032209186 0.0031401885 0.0038853884 0.0033295935 0.0032902635 0.0036214634 0.0046202377 0.0032933685 0.0034775985 0.0031660637 0.004041673 0.0032033236 0.0034755284 0.0033440834 0.008647421 0.004592293 0.0040137284 0.0035231384 0.0043811533 0.0034382686 0.0030221986 0.0033916936 0.004534333 0.0038232883 0.0029580288 0.0031981487 0.0037301383 0.0028038137 0.0028472838 0.0029787286 0.005237098 0.0032053937 0.0034931235 0.0030242687 0.0036618283 0.0031836587 0.0033037185 0.0032561086 0.004548823 0.0028390037 0.0030449687 0.002704454 0.0035179635 0.0032374787 0.0029901136 0.0031484687 0.0049990476 0.0034041135 0.0032685285 0.0027924287 0.0037787834 0.0030273737 0.0030625637 0.0031888336 0.004131718 0.0029890786 0.0031163837 0.0030149536 0.0036442333 0.0028390037 0.0029186988 0.0030366885 0.0046668127 0.0031163837 0.0038512333 0.0028628088 0.0035707485 0.0031505385 0.0029963236 0.0031236287 0.004242463 0.0031432936 0.0033306286 0.0031753785 0.0036473384 0.0031846936 0.0033306286 0.0033554686 0.006708867 0.004058233 0.0037239285 0.0033430485 0.0041161934 0.0032674936 0.0033047535 0.0032364435 0.004332508 0.0033337334 0.0031215586 0.0030739487 0.0036463034 0.0029828686 0.0030739487 0.0027965687 0.004248673 0.0032705986 0.0030884387 0.0029921837 0.0037146134 0.0030170237 0.0029414687 0.0029476788 0.003982678 0.0031163837 0.0027272238 0.0026392487 0.0035334884 0.0029518188 0.0035790284 0.0028866138 0.004948333 0.0032488636 0.0033865185 0.0029776937 0.0038150083 0.0030729137 0.0032002185 0.0029000686 0.004442218 0.0054513426 0.0034775985 0.0031432936 0.0037829233 0.0030635986 0.0032447237 0.0031805537 0.004617133 0.0033264884 0.0034258484 0.0030501436 0.0037446283 0.0030894736 0.0033006135 0.0032405835 0.0043490683 0.0030397936 0.0031805537 0.0028700538 0.004014763 0.0030977537 0.004221763 0.004512598 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 0.004581654 0.0002928651 0.00027109458 0.00027057625 0.00029960356 0.0002405122 0.00033174097 0.00030737874 0.00033122263 0.00035091976 0.00032811257 0.0003514381 0.000520937 0.0001534302 0.00018401258 0.000738642 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 0.062023122 0.06245646 0.055349946 0.060624108 0.059571866 0.05498762 0.054476533 0.06046705 0.053170305 0.05210562 0.05294949 0.056417737 0.05054229 0.05663648 0.053843115 4028.0 5.7040715 22976.0 0.017148329 0.010402159 0.009444638 0.0086612115 0.013405292 0.012491295 0.011794916 0.011577298 0.012578343 0.009792827 0.008443593 0.008704735 0.013884053 0.010489206 0.011751393 0.0099233985 0.016756615 0.011925488 0.0086612115 0.0075295963 0.009792827 0.0085741645 0.0077907383 0.008313023 0.010228064 0.00840007 0.009575209 0.008835306 0.011577298 0.009009401 0.00970578 0.009183496 0.01810585 0.011011491 0.010315112 0.009096448 0.010837396 0.008922353 0.010750348 0.008313023 0.014188719 0.011577298 0.009749304 0.008965878 0.011403203 0.00935759 0.011620821 0.009575209 0.014754526 0.009575209 0.0099233985 0.008965878 0.012099582 0.009444638 0.009531685 0.009792827 0.013840529 0.009270543 0.01053273 0.009575209 0.011142061 0.009792827 0.010358635 0.010663301 0.017888231 0.010967966 0.009749304 0.008138928 0.013057103 0.008225975 0.00935759 0.008313023 0.015407382 0.009270543 0.00887883 0.0086612115 0.0113596795 0.008095404 0.009879875 0.007877786 0.01314415 0.007921309 0.0086612115 0.008748259 0.011490251 0.009444638 0.008269499 0.007921309 0.011098538 0.008965878 0.011969011 0.0085741645 0.0113596795 0.009139972 0.0100104455 0.008748259 6.5546103 0.0 0.0 0.0 14.0 966184.0 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: 0.13943034 0.0084481845 0.004097528 0.003351527 0.006109174 0.003865087 0.00198609 0.0019191569 0.0077167875 0.0014786149 0.0016660277 0.001473747 0.0044772215 0.0013435315 0.0012047973 0.0038078895 0.0060337223 0.001473747 0.0011622035 0.00087743317 0.0024193304 0.0019410623 0.0007520856 0.000809283 0.0022599075 0.0007399159 0.0008141509 0.0006973221 0.001584491 0.0005926629 0.0005829272 0.00055493694 0.0038103235 0.0005756254 0.0006401246 0.00053303153 0.0040792734 0.0012936359 0.0004563626 0.00055128604 0.0011622035 0.0006413416 0.00057319144 0.0009261118 0.0010855346 0.0023000676 0.00066446397 0.0005086922 0.008305799 0.0030691905 0.005857262 0.010352738 0.005966789 0.0023390106 0.005560322 0.0020956171 0.006525377 0.0023353596 0.0007021899 0.0014567095 0.0016380375 0.00095896993 0.00045757956 0.0005196449 0.011572138 0.0038614362 0.004817972 0.008676974 0.0038030217 0.03200623 0.0032127928 0.0026627237 0.0033259706 0.0034878273 0.0021515975 0.0023146712 0.0026639407 0.004312931 0.0011402981 0.0015053881 0.008905764 0.0021077867 0.002021382 0.009590916 0.0031507274 0.013603257 0.003167765 0.0020603251 0.0018936006 0.00640368 0.0026955819 0.003204274 0.0015394632 0.0045587583 0.0023377936 0.0035438077 0.005667415 0.004535636 0.0020761457 0.0033989886 0.009442447 0.0062053143 0.004198536 0.0016988858 0.00814516 0.004312931 0.003980699 0.0015431141 0.0037847671 0.0019301096 0.004641512 0.0041717626 0.00349878 0.0018595255 0.0051027425 0.0039624446 0.01044036 0.005626038 0.0020518063 0.001289985 0.0031069166 0.0012425233 0.00052207883 0.00058049324 0.0016258678 0.0024765278 0.0010453747 0.0008603956 0.005157506 0.0011390811 0.001070931 0.008914283 0.0030704075 0.0031738498 0.0010173843 0.0006084835 0.0026189128 0.014939486 0.0021966253 0.050878953 0.0011768071 0.0108200535 0.0008433581 0.0006693318 0.002612828 0.00043689113 0.0007155766 0.00063525676 0.001105006 0.000921244 0.0014871336 0.00055858784 0.0011549017 0.0005792763 0.0004916547 0.000700973 0.0009407154 0.00046853226 0.00045757956 0.0004125518 0.000882301 0.003274858 0.00045879654 0.0025093858 0.001400729 0.00080441515 0.00055493694 0.0004454099 0.001029554 0.00045027776 0.0005013904 0.00047948497 0.00083362235 0.00044297596 0.0007301802 0.0006474264 0.0013033716 0.0006741997 0.0017025367 0.0005281637 0.0008640465 0.0006595961 0.000700973 0.0015540668 0.0030996148 0.0024935652 0.004575796 0.0008105 0.0009845262 0.00047218316 0.0008397072 0.0007034069 0.0118033625 0.0011305623 0.002250172 0.010182362 0.0042873747 0.0010417238 0.0034999968 0.003313801 0.001840054 0.0017366118 0.00096748874 0.0012814662 0.001655075 0.0008786501 0.0009760075 0.00092732883 0.0028282313 0.0011317793 0.0029268055 0.0013313618 0.0017840735 0.0007557365 0.0015784061 0.0008616126 0.003313801 0.0006437755 0.001068497 0.0017585172 0.0014725301 0.0007070578 0.00055372 0.0008287545 0.0023998588 0.0006474264 0.0008640465 0.00097479054 0.002393774 0.002392557 0.0005415503 0.00068271847 0.027165137 0.005929063 0.0010757988 0.005804932 0.0064280196 0.0010259032 0.0006693318 0.00074234983 0.0071265586 0.0009614039 0.0017877244 0.0009042064 0.008990952 0.002135777 0.0040305946 0.0025519796 0.009906111 0.0030046913 0.003024163 0.0035547605 0.014649848 0.00393202 0.004232611 0.06782766 0.0 0.0 0.0 0.007490637 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011533435 0.0 0.0 6.217814e-05 3.2917837e-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 0.0020299333 0.0 0.0 0.00029382217 0.00017312344 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017470837 0.0 0.0 0.0005090073 0.00024078788 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013582875 0.0 0.0 0.006091019 0.0040464555 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0032143658 0.0 0.0 0.002548694 0.0017275768 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00054192514 3.6575375e-06 1.7678098e-05 6.583567e-05 0.00014630149 7.436993e-05 6.095896e-06 7.315075e-06 1.523974e-05 0.0 0.0 1.8287687e-06 7.924665e-06 3.047948e-06 4.8767165e-06 0.0003523428 0.005992875 0.00020238374 0.00020969882 0.00054131553 0.0018781455 0.000479747 0.0024054404 0.0010466652 0.00019141112 9.875351e-05 9.082885e-05 7.376034e-05 0.0006601855 0.0003736784 0.00039379488 0.0028394682 0.013095813 0.0006303156 0.0009296241 0.0020457825 0.0040586474 0.0035472016 0.00684752 0.003154626 0.00044621958 0.00023164404 0.0003054044 0.00032491123 0.0020470018 0.001085679 0.0011027475 0.008836001 0.020416984 0.0012807477 0.0012124736 0.0020427348 0.007191938 0.002517605 0.0065774717 0.0032009548 0.002351187 0.0009582748 0.0009601036 0.001313056 0.003989154 0.0026047763 0.0026285502 0.009418159 0.019881155 0.0015355562 0.0012301517 0.0022292691 0.0092682 0.0039757434 0.0057862243 0.0033503042 0.005713683 0.0013898643 0.0017489125 0.002266454 0.003797743 0.0017428166 0.0039769625 0.009510207 0.07280267 0.009656508 0.0071614585 0.009916194 0.041374065 0.030102752 0.02095586 0.0137243 0.05063251 0.0052046757 0.0059562996 0.008993275 0.016513173 0.0069578555 0.026992626 0.060072005 0.059273444 0.009964352 0.008969501 0.01148101 0.027660737 0.03010641 0.017382447 0.014371684 0.049006734 0.005789272 0.0063769165 0.0090012 0.020754697 0.010759256 0.024673747 0.04773696 0.00022981527 4.6938396e-05 8.473295e-05 5.1205523e-05 8.900008e-05 9.7534336e-05 4.267127e-05 6.461649e-05 0.00013228094 2.865071e-05 3.2917837e-05 2.865071e-05 8.290418e-05 5.913019e-05 7.193157e-05 0.000105458996 5347.0 19.009352 101643.0 0.0046043503 0.00010822192 0.00047224108 7.870685e-05 0.0028334465 0.00048207943 0.00010822192 0.00014757534 0.0003345041 0.00034434246 0.0006198164 0.0004919178 0.0004230493 0.012051986 0.00095432054 0.00039353422 0.043101836 0.017512273 0.043328118 0.013576931 0.039520673 0.015456057 0.04166544 0.013380164 0.042796846 0.014993655 0.00069852325 0.00043288767 0.0008067452 0.00045256436 9.8383556e-05 0.00011806027 0.0011510876 0.0072115147 0.006257194 0.01226843 0.006030912 0.013635961 0.0039943727 0.002597326 0.0041616247 0.014875594 0.002075893 0.003374556 0.0057652765 0.005637378 0.0037484136 0.007791978 0.010910736 0.0022136301 0.005056915 0.017305668 0.011048473 0.0052930354 0.0049880464 0.0029515068 0.0023513671 0.004525644 0.0012888246 0.0025284574 0.0009838355 0.0023612054 0.002459589 0.018761745 0.00021644383 0.027389983 0.013675314 0.024074458 0.024497505 0.0458369 0.012081501 0.009858033 0.01902738 0.030282458 0.0089135505 0.007083616 0.022765955 0.0116190985 0.034011196 0.03022343 0.01872239 0.0036893834 0.03469004 0.025274737 0.037956376 0.010477849 0.01118621 0.006394931 0.014078687 0.0056472165 0.000885452 0.0002459589 0.00046240274 0.00021644383 0.00025579726 0.0002656356 5.6862164 0.0 2.0 14.0 4.0 821715.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 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 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6053085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.26739994 0.030152444 0.0412647 0.017349299 0.034862623 0.0084048165 0.036200143 0.00934746 0.010915833 0.0064506787 0.016359067 0.007278909 0.0061540143 0.004016613 0.0052569336 0.0019723626 0.0038748623 0.00910952 0.007665687 0.006415241 0.00509392 0.0048337057 0.006226915 0.0057388865 0.0043274527 0.0017587238 0.0014256091 0.001487372 0.0015278723 0.0014185216 0.0020827258 0.0040743263 0.010868245 0.0009821313 0.001243358 0.00080393016 0.0008758181 0.0026203669 0.0017475862 0.0020067878 0.011960739 0.0012818332 0.0098203 0.0034627721 0.0064000534 0.0037310864 0.0031519327 0.0010438942 0.0039751003 0.0017718864 0.0019592 0.0022254894 0.0012312079 0.00083025533 0.0012717082 0.0008646805 0.0020341256 0.0011299573 0.0011896951 0.00081810524 0.00085354294 0.00091733085 0.0010408567 0.0008110177 0.00096086867 0.0024877284 0.0013081584 0.0023176274 0.0020675382 0.0021698014 0.0013709337 0.001103632 0.0008920182 0.0023935654 0.0008413929 0.0011957701 0.0018407368 0.0015815351 0.001795174 0.0010692069 0.0020715883 0.0008525305 0.0015420474 0.0026234044 0.0028360307 0.0010499692 0.0020695631 0.0011016071 0.0040115505 0.0018366867 0.0013982714 0.00072799216 0.0010094689 0.0009031558 0.0009861813 0.0027894555 0.0011218572 0.00976765 0.0025555664 0.00509797 0.004989632 0.01865037 0.0031276324 0.002660867 0.0040733134 0.008907019 0.0007543173 0.0012109578 0.0068718814 0.005418935 0.009284684 0.022958584 0.008499992 0.0008413929 0.012395104 0.009902313 0.015692838 0.004879269 0.0017759363 0.0012757581 0.0017384737 0.0028491933 0.0016584856 0.013852101 0.002219414 0.006121614 0.0028977937 0.0006581292 0.003544785 0.0023196524 0.0011167947 0.0020250129 0.0012180452 0.002031088 0.0018599743 0.0011653949 0.0013577712 0.00067939184 0.00047081552 0.00049612817 0.0007684924 0.0010104815 0.0009203684 0.00069559197 0.0005639661 0.00091733085 0.0004050026 0.0011684325 0.00054979103 0.0007026795 0.00052245334 0.0005244784 0.0006429416 0.00057409116 0.0009183434 0.0005042282 0.0005943413 0.0006935669 0.00047992807 0.00049612817 0.0006814169 0.0004060151 0.0015157223 0.0004384153 0.0006530667 0.00066420424 0.0005639661 0.00043942782 0.00046271546 0.00044651536 0.00044145284 0.0006409166 0.0005963663 0.0005629536 0.0005700411 0.0004849906 0.0008019051 0.00052852836 0.0007087545 0.00081506773 0.0005811787 0.0005548535 0.00053460343 0.0004890406 0.0012646206 0.0005578911 0.0005153658 0.00044854038 0.000937581 0.00046777798 0.00083430536 0.00051131577 0.0007502673 0.0005720662 0.0005578911 0.0011178071 0.0005730787 0.00046372798 0.00236319 0.00045765293 0.0005872538 0.00059231627 0.00048802813 0.00043031527 0.0007786175 0.00062876655 0.0004232277 0.00038272745 0.0009669437 0.00060446636 0.0005092908 0.00075735484 0.00049511564 0.0005335909 0.0005467535 0.00071280455 0.0006631917 0.00052549085 0.00046069044 0.00079076755 0.000931506 0.0014013089 0.0011805826 0.00043132776 0.00067635434 0.0009841563 0.00050220324 0.0005639661 0.00040095256 0.0015066096 0.0006267415 0.0006561042 0.00043436527 0.0010813569 0.0006054789 0.00058016623 0.0006064914 0.0005933288 0.00046170296 0.000621679 0.00069660443 0.00061965396 0.0005042282 0.0006115539 0.0005568786 0.00056497863 0.00038070243 0.0005062532 0.00051941583 0.00047284053 0.00046271546 0.00047081552 0.0014549718 0.00048296558 0.0011826076 0.0015896352 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00084777386 8.112669e-06 3.5492926e-06 6.5915433e-06 0.00011509849 5.2225307e-05 5.070418e-07 1.0140836e-06 1.0140836e-06 5.070418e-07 5.070418e-07 0.0 0.0 0.0 0.0 1.5211253e-06 0.002608223 0.00021498572 1.115492e-05 5.57746e-06 0.00012067595 5.4253473e-05 4.1070387e-05 4.867601e-05 2.0281673e-06 5.070418e-07 1.5211253e-06 0.0 0.0 0.0 1.0140836e-06 5.57746e-06 0.003141631 8.6704145e-05 4.00563e-05 1.7239421e-05 1.4704212e-05 4.259151e-05 7.149289e-05 0.0002824223 0.00023932372 2.0281673e-06 2.0281673e-06 3.2957716e-05 4.512672e-05 1.0140836e-06 5.121122e-05 8.315485e-05 0.037984528 0.00074078806 0.0009968441 0.0009405625 0.00074788666 0.0011504778 0.0019445053 0.0012762242 0.0011803933 0.0005131263 0.0005318868 0.000557746 0.0006708163 0.0006018586 0.0005592671 0.00048574604 0.05785144 0.000485239 0.009278865 0.0009623653 0.009215992 0.007621852 0.06684078 0.03459749 0.00039346443 0.00011053511 8.366189e-05 0.0001237182 6.135206e-05 7.199994e-05 0.0001019154 0.00015363366 0.092285156 0.0099364985 0.01339503 0.0037297995 0.0029094059 0.0031467015 0.012107651 0.014557677 0.0021640544 0.0012772382 0.0009557738 0.0011073793 0.00082799926 0.0009476611 0.0013030975 0.0013426467 0.18012457 0.031377267 0.024817668 0.008939147 0.004692672 0.0063659097 0.014949621 0.02413316 0.005366023 0.0033434336 0.0035650108 0.0034524475 0.0033403914 0.004625235 0.004342813 0.0036674333 0.08914809 0.017091872 0.00961402 0.0049401084 0.0041988133 0.0051850094 0.006236107 0.008732274 0.0073957117 0.0029048424 0.0027020257 0.002802927 0.0038499683 0.0036719968 0.0028379129 0.003143152 0.031632308 0.005904502 0.0030782507 0.0021123362 0.0024464766 0.003419997 0.003688222 0.002850082 0.0039599966 0.0016747591 0.0012310975 0.0016073225 0.0017366181 0.0011869848 0.0013091819 0.0017361111 0.006911487 0.001104337 0.0006236614 0.0011484497 0.00072253455 0.0006540839 0.0014861395 0.00073470356 0.0009111541 0.00039397148 0.0004390982 0.00079757674 0.000582084 0.00036456305 0.0003529011 0.00042642216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00024540824 9.430978e-05 8.822527e-05 6.4394306e-05 0.00011509849 5.2732346e-05 8.2140774e-05 5.121122e-05 2.8394341e-05 2.0281672e-05 3.599997e-05 4.715489e-05 4.208447e-05 2.535209e-05 2.8394341e-05 1.7239421e-05 0.00017391534 0.000100901314 8.873231e-05 7.250698e-05 0.00010597173 8.822527e-05 6.4394306e-05 6.540839e-05 6.79436e-05 2.7380256e-05 3.346476e-05 3.4985886e-05 2.5859132e-05 3.092955e-05 2.9915465e-05 2.78873e-05 5901.0 15.953736 94143.0 0.00042488554 0.000382397 8.497711e-05 0.00015933208 6.3732834e-05 0.00011684353 0.00018057636 8.497711e-05 9.559925e-05 0.00027617562 0.000308042 0.000308042 0.00022306491 7.435497e-05 0.0076373178 0.00012746567 0.0041532563 0.0033141072 0.0025705576 0.0020182063 0.0026236682 0.0017526529 0.0020819393 0.0014446109 0.0016570536 0.0015402101 0.00012746567 8.497711e-05 0.0002443092 0.00031866416 0.00031866416 7.435497e-05 6.3732834e-05 0.012332303 0.0056403554 0.013915001 0.012204837 0.011259467 0.005874043 0.0037177484 0.0018907407 0.013872514 6.3732834e-05 0.00064795045 0.0049074283 0.004811829 0.009103172 0.0034309507 0.008402112 0.0018907407 0.007276165 0.017908925 0.0118649285 0.0027405117 0.0041638785 0.0028467332 0.008975707 0.000382397 0.00022306491 0.00028679773 4.2488555e-05 0.00011684353 8.497711e-05 0.016411204 0.000308042 0.05934589 0.011163868 0.028382355 0.026778411 0.122515745 0.009676768 0.016251871 0.013628204 0.04953103 0.00077541615 0.0037071265 0.039588712 0.034649417 0.054342862 0.040491592 0.022667645 0.0009559925 0.048978683 0.040066708 0.09594978 0.023241239 0.005003027 0.0018057636 0.007871005 0.017898304 0.0015614544 4.2488555e-05 6.3732834e-05 0.00037177486 9.559925e-05 6.3732834e-05 5.0291953 0.0 1.0 0.0 1.0 987648.0 1015808.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 2606473200.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 985600.0 512.0 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 -985600.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8093524 0.0 3.261885 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 -985204.0 0.0 1016.0 0.0 0.0 0.0 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 87.0 993300.0 1016.0 999424.0 0.0 0.0 0.0 0.0 12.0 1007616.0 56.0 993204.0 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


Input: 0.1981659 0.0045928955 0.0033187866 0.0026397705 0.0034484863 0.0033111572 0.004875183 0.0032653809 0.003753662 0.0043640137 0.002746582 0.0031051636 0.002784729 0.0026397705 0.0030136108 0.004722595 0.0029525757 0.0029907227 0.0031433105 0.0036239624 0.0028457642 0.0027694702 0.0032958984 0.002922058 0.0037384033 0.0025634766 0.0027618408 0.0031738281 0.0030975342 0.003768921 0.0033874512 0.0045928955 0.0033340454 0.0023880005 0.0031356812 0.003440857 0.005241394 0.0026779175 0.0025634766 0.002922058 0.002609253 0.0030975342 0.0031433105 0.0027313232 0.002632141 0.002609253 0.0038528442 0.0023345947 0.0027923584 0.00289917 0.0031356812 0.0038070679 0.0028152466 0.0030212402 0.0025253296 0.0036392212 0.0027389526 0.0032196045 0.0037841797 0.0035934448 0.0031356812 0.0038223267 0.002784729 0.002937317 0.00466156 0.0035247803 0.0029907227 0.0028381348 0.004295349 0.005126953 0.003112793 0.002822876 0.003189087 0.0027313232 0.0027389526 0.0026245117 0.0035552979 0.004096985 0.0047836304 0.0026550293 0.003189087 0.0027313232 0.0034561157 0.0034484863 0.0034255981 0.0033798218 0.0038833618 0.0027236938 0.003921509 0.0022277832 0.0029067993 0.0027770996 0.002670288 0.0036239624 0.003074646 0.003540039 0.0025177002 0.0031051636 0.0027389526 0.0028076172 0.003036499 0.0036392212 0.0035705566 0.002166748 0.0025558472 0.0028839111 0.0023498535 0.002609253 0.0028839111 0.002067566 0.0028686523 0.0038223267 0.0029830933 0.0028686523 0.003921509 0.0029144287 0.0038604736 0.0032577515 0.0022506714 0.0037994385 0.002670288 0.0024261475 0.0028305054 0.002494812 0.0028152466 0.002784729 0.0026550293 0.0025482178 0.0027008057 0.0035934448 0.0024490356 0.004020691 0.002670288 0.003326416 0.0048675537 0.0021591187 0.0030441284 0.0071411133 0.003112793 0.0061950684 0.0026397705 0.0032806396 0.0028839111 0.0027770996 0.0033950806 0.0025177002 0.0028533936 0.002632141 0.0038986206 0.0030822754 0.002670288 0.003730774 0.0026855469 0.002380371 0.0026779175 0.0023040771 0.0023498535 0.0037994385 0.003479004 0.002960205 0.0021820068 0.002937317 0.0027694702 0.0031967163 0.002494812 0.0018692017 0.002105713 0.0022964478 0.0036239624 0.0022125244 0.0026626587 0.0032958984 0.0025177002 0.0019378662 0.0024642944 0.0030670166 0.0040359497 0.002281189 0.0046157837 0.0026550293 0.0030136108 0.0037231445 0.003501892 0.0025558472 0.0027313232 0.0026855469 0.002746582 0.002281189 0.0025787354 0.0030593872 0.0026779175 0.003616333 0.0037384033 0.0031585693 0.0038452148 0.002922058 0.002960205 0.0029067993 0.0034255981 0.003982544 0.0052719116 0.003868103 0.002708435 0.00289917 0.0027236938 0.0026550293 0.0027923584 0.0045166016 0.0029830933 0.0027389526 0.0031204224 0.0027694702 0.0037231445 0.0026626587 0.0026397705 0.0031356812 0.00315094 0.0024719238 0.0023117065 0.002632141 0.0022888184 0.0027542114 0.003112793 0.002922058 0.0027313232 0.0027923584 0.0028915405 0.0028305054 0.003036499 0.003036499 0.0050201416 0.0027160645 0.003791809 0.0040664673 0.0029296875 0.0029907227 0.003479004 0.0027236938 0.0030593872 0.0025100708 0.0027160645 0.0028686523 0.0026245117 0.0028076172 0.0028839111 0.0034866333 0.0033416748 0.0034866333 0.002960205 0.0030288696 0.0029296875 0.002937317 0.0029449463 0.0038909912 0.0035171509 0.007331848 0.09448819 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0072550136 6.536048e-05 6.536048e-05 1.9223671e-05 0.00011918676 3.0757874e-05 0.0001345657 7.304995e-05 2.3068405e-05 1.1534203e-05 3.8447342e-06 1.5378937e-05 1.9223671e-05 0.0 1.5378937e-05 2.3068405e-05 0.027709 0.00015378937 0.00018839198 0.0011111283 0.0002691314 0.0002345288 0.0007189653 0.00033449187 8.458416e-05 0.00011149729 0.00010765256 8.842889e-05 0.000103807826 7.6894685e-05 8.842889e-05 0.00011534203 0.0063476562 4.9981547e-05 0.00018454724 2.3068405e-05 9.227362e-05 4.613681e-05 0.00069974165 0.00035371556 3.460261e-05 3.8447342e-06 3.8447342e-06 0.0 1.1534203e-05 1.5378937e-05 3.8447342e-06 3.8447342e-06 0.0063553457 0.0001230315 0.00016532357 0.0001460999 0.00027682088 0.00010765256 9.6118354e-05 9.6118354e-05 7.6894685e-05 8.842889e-05 6.920522e-05 5.7671015e-05 4.9981547e-05 4.9981547e-05 4.229208e-05 7.304995e-05 0.010772945 6.920522e-05 0.0002921998 0.00013841044 0.00065744953 0.00028451034 0.002245325 0.0010957492 5.382628e-05 1.5378937e-05 1.5378937e-05 1.9223671e-05 3.460261e-05 2.3068405e-05 1.5378937e-05 1.5378937e-05 0.0118187135 0.00033064713 0.00019223671 0.00020761565 0.00044598916 0.0001460999 0.00022299458 0.0002921998 0.00016916831 0.00037678395 0.00022299458 0.000246063 0.00035371556 0.0003460261 0.00021530512 0.00016147883 0.004890502 6.151575e-05 0.00018454724 9.227362e-05 0.00046136812 0.00010765256 8.842889e-05 9.9963094e-05 0.00054595224 8.458416e-05 4.613681e-05 4.229208e-05 0.000246063 8.842889e-05 0.00022299458 0.00061131275 0.009565699 0.00037293922 0.00037678395 0.0003690945 0.0005805549 0.00037293922 0.00027682088 0.0002691314 0.00086122047 0.00041138657 0.00019608144 0.00033064713 0.000607468 0.0002921998 0.00046136812 0.0004036971 0.004075418 0.00014225517 0.00019223671 0.00018454724 0.0007074311 0.00028835508 0.0010496124 0.00063438114 9.6118354e-05 9.9963094e-05 7.6894685e-05 6.920522e-05 6.920522e-05 5.7671015e-05 4.9981547e-05 8.073942e-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 0.0033103162 0.00033449187 0.00028835508 0.00030757874 0.00033833663 0.0003575603 0.0003460261 0.00037293922 0.00028451034 0.0002345288 0.00024990772 0.0003152682 0.00028451034 0.00025375246 0.00026144192 0.00033449187 0.0015302042 0.0001460999 0.000246063 0.00018454724 0.00081123895 0.000246063 0.00016532357 0.00021146038 0.0013725702 0.00016532357 8.458416e-05 0.0001345657 0.00048443652 0.00025375246 0.00048828125 0.0013495018 0.0073011504 0.0016763041 0.004236897 0.001853162 0.006274606 0.0038255106 0.0013802596 0.0021761195 0.010307733 0.00079586 0.00067667325 0.0013341227 0.0035102423 0.0015532726 0.0030065821 0.005209615 0.050046906 0.048443653 0.042418953 0.046394408 0.045033373 0.045302503 0.038424276 0.04136934 0.043376293 0.045379397 0.040204387 0.046475146 0.049008828 0.04276498 0.04611759 0.045775406 519.0 6.3949904 3319.0 0.009038867 0.008436276 0.008134981 0.010846641 0.011147936 0.008737572 0.0075323894 0.007833685 0.006327207 0.0072310935 0.0075323894 0.009038867 0.009340162 0.0054233205 0.014160892 0.0051220246 0.010846641 0.006929798 0.011449232 0.018077735 0.009038867 0.012051823 0.007833685 0.013257005 0.006929798 0.008737572 0.014763483 0.012654414 0.011147936 0.008737572 0.004820729 0.009340162 0.012654414 0.013257005 0.011147936 0.010545345 0.013558301 0.010846641 0.0054233205 0.0123531185 0.010244049 0.010545345 0.009340162 0.005724616 0.010244049 0.008134981 0.016269961 0.009340162 0.011750528 0.0075323894 0.012051823 0.012654414 0.008436276 0.006929798 0.009942754 0.0072310935 0.011147936 0.009340162 0.010244049 0.009641458 0.0039168424 0.011147936 0.010846641 0.013257005 0.0066285026 0.017173847 0.008134981 0.015968665 0.016269961 0.03193733 0.014763483 0.0072310935 0.007833685 0.014160892 0.008737572 0.010244049 0.012955709 0.007833685 0.011449232 0.016872551 0.011449232 0.008436276 0.017475143 0.012955709 0.023501055 0.011449232 0.0060259113 0.010846641 0.006929798 0.0066285026 0.008436276 0.008134981 0.0072310935 0.008134981 0.009038867 0.006929798 6.492252 0.0 0.0 0.0 2.0 131072.0 163840.0 1.0 0.0 29.0 1.0 1.0 0.0 0.0 0.0 1374946200.0 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 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 1.0 12.0 0.0 6.0 0.0 5.0 0.0 12288.0 4096.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 -98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 -4096.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9083056 5.604872 0.0 0.0 0.0 0.0 0.0 0.0 -7.974624 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.550974 -1.4489323 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.319477 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1770.0 264.0 0.0 0.0 0.0 0.0 0.0 0.0 -94459.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9118.0 -36858.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4200.0 17272.0 1864.0 155648.0 0.0 0.0 0.0 0.0 264.0 159744.0 56.0 16736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 136.0 16384.0 76.0 17536.0 0.0 0.0