Input: 0.19006386 0.024285128 0.014729252 0.007024094 0.011955642 0.0064170584 0.0050808396 0.0041135303 0.011745894 0.0033621388 0.0029179663 0.0026946461 0.0077150287 0.006470112 0.0020234522 0.013520116 0.006794605 0.010137003 0.001420118 0.0013905065 0.0051672063 0.005367084 0.0019037725 0.0017914956 0.004157948 0.0009919852 0.0009784133 0.0011943304 0.0035829912 0.0012276433 0.0008883449 0.000861201 0.0064392667 0.000637881 0.0011992656 0.0011067297 0.023863165 0.0011647189 0.00065021915 0.00068353204 0.0029648512 0.0007476903 0.00062060764 0.0023504125 0.0025613946 0.0011141326 0.0010166614 0.0005453451 0.0022196285 0.00073288457 0.00092289166 0.0051190876 0.001808769 0.000993219 0.0006872335 0.0005021616 0.0021209235 0.0020950134 0.0009747118 0.004539196 0.0022146932 0.0021850818 0.0009562046 0.00092165783 0.0034275309 0.0024861319 0.0017014273 0.00212956 0.0088254595 0.0053905263 0.0038852752 0.0023997652 0.003098103 0.005147465 0.005305393 0.0020357904 0.011844599 0.0028501067 0.0013510246 0.0010154276 0.007811266 0.0043220446 0.00393216 0.003912419 0.0036594875 0.003274538 0.005259742 0.003742153 0.0015842151 0.0014324562 0.00043923722 0.008446679 0.0023516463 0.0046021203 0.004024696 0.0035891603 0.0012769959 0.0027970527 0.00081801764 0.0015743446 0.00410366 0.005104282 0.00817154 0.000855032 0.00598399 0.0028809519 0.008079004 0.0006058019 0.003590394 0.0013608951 0.0029981642 0.003019139 0.0021344954 0.0012153052 0.005120321 0.0027982865 0.014957507 0.012365268 0.0013621289 0.0014299885 0.0019703985 0.0014164166 0.0005144998 0.0007304169 0.0035237682 0.002109819 0.0017137654 0.0014583663 0.0054152026 0.00306479 0.00060826953 0.020116078 0.006603364 0.012813142 0.0011671865 0.00078347087 0.0019753336 0.01199389 0.0017211683 0.03409517 0.0020530638 0.008792147 0.0005527479 0.0006058019 0.0012313448 0.0005293055 0.00046391346 0.0004922911 0.0022936573 0.00089451397 0.0012893339 0.00024059342 0.00082418666 0.0007020392 0.0004700825 0.0006897011 0.0010610786 0.00042319763 0.00052313646 0.0012473844 0.0012584886 0.0014719382 0.00037507896 0.0008032119 0.00087847444 0.00047378396 0.0004688487 0.00022578766 0.00087107153 0.00035780558 0.00029241355 0.00032572646 0.0009858161 0.0002813092 0.00039481997 0.00034053222 0.0019740998 0.00026280203 0.00029611497 0.0003874171 0.0014484958 0.00042443146 0.0016088913 0.0032313545 0.0038840414 0.001256021 0.00075385935 0.0005490465 0.0010931578 0.0004577444 0.0010475067 0.0007908737 0.010830405 0.0029845922 0.0035546136 0.0049401848 0.0069414284 0.0009808808 0.0037174767 0.0046477714 0.0017211683 0.0027193225 0.0007082083 0.00084022625 0.011675566 0.00062184146 0.0007748342 0.00078223704 0.0018519524 0.0015138878 0.0017569489 0.00070080545 0.00088094204 0.0005243703 0.0010104923 0.00080444565 0.0019407868 0.0010487406 0.00060456805 0.0016483733 0.0013534921 0.0009265931 0.00053547457 0.0010561434 0.0019950746 0.00094139884 0.0013892727 0.0006699601 0.001650841 0.0022788516 0.00095126935 0.0004947588 0.0129574975 0.0037779335 0.0005206688 0.005839634 0.0029056282 0.0005959314 0.00076002843 0.0004577444 0.0023849593 0.0007587946 0.0005182012 0.0007464565 0.0012893339 0.0009179564 0.0030475166 0.0016249309 0.0048933 0.0017285711 0.001202967 0.0017051287 0.0023245024 0.0020555314 0.0034349337 0.029623834 0.0 0.005061437 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.8542326e-06 0.0 0.0 0.0 0.0 0.0 0.0011384988 0.0 0.0 0.0 0.00012485166 0.0 0.0 0.0 0.0 0.0 2.4723101e-06 0.0 0.0 0.0 0.0 0.0032634493 8.838509e-05 0.0 0.0 0.0 0.0002830795 0.0 0.0001625544 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0040867287 0.0009135186 0.0 0.0 0.0 0.00045614122 0.0 0.0005779025 0.0 5.1918512e-05 0.0 2.4723101e-06 0.0 0.0 0.0 0.00024043216 0.0018443434 0.00010754549 8.9621244e-05 0.0 0.0 0.000106927415 0.0 0.00038320807 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011297839 0.000836877 0.00023548753 7.41693e-05 0.00024352255 0.001187945 0.00015513746 0.0008257516 5.253659e-05 0.0005482348 1.9160403e-05 1.7924249e-05 1.6688093e-05 2.5959256e-05 0.00013597705 0.00078248617 0.013157017 0.0017497775 0.00010260087 4.9446204e-05 0.0005507071 0.0020779767 0.001777591 0.0016688093 0.00013103243 0.0014932753 0.00045799545 2.1014635e-05 1.3597706e-05 0.0001100178 0.00019963905 0.00049013546 0.03472483 0.00079979235 0.0032628314 0.0009332971 0.0023771261 0.0028116347 0.008662974 0.004807407 0.0002725722 0.0007157338 0.0005834652 3.3376185e-05 0.00014957476 0.00054019975 0.00070522644 0.00064527296 0.018039828 0.00051238626 0.0006020075 0.0004128758 0.0016892059 0.001754104 0.0028499556 0.0015983485 0.00046726663 0.0005828471 0.0005346371 0.00072809536 0.0005587421 0.00096234673 0.00037270074 0.0012460443 0.009245204 0.00053401897 0.00085109274 0.0003609573 0.0018950257 0.0012961086 0.005667153 0.00294823 0.0002997676 0.00012979629 0.00011681666 0.00010260087 0.000121143195 0.00012979629 0.000113726266 0.000239196 0.0065429686 0.00030656645 0.0013894383 0.0007293315 0.0012602601 0.0009598744 0.002987787 0.0018431072 0.00025835642 0.0002255983 0.00013844937 0.00017367979 0.00014463015 0.00025093948 0.00013597705 0.00037455498 0.007246341 0.0005309286 0.000629821 0.0004870451 0.0007008999 0.00069286494 0.00076518 0.0007534365 0.0013844937 0.0001539013 0.00016811708 0.00038753462 0.0008504747 0.000294823 0.00043883504 0.0009709998 0.020767406 0.0016113281 0.002566876 0.001801696 0.0030570114 0.0028511917 0.0019327285 0.0020977552 0.0076004993 0.00075158227 0.0005371094 0.0017609029 0.0037257713 0.0008616001 0.0019840288 0.004320362 0.11575418 0.018430455 0.022413345 0.013389413 0.029029865 0.025715116 0.016031696 0.0207365 0.060365777 0.0052660205 0.0040935273 0.010091352 0.030411886 0.007834133 0.018677685 0.027075505 0.068143666 0.015307308 0.015487169 0.010593849 0.022098744 0.022137064 0.012032733 0.016252348 0.041738775 0.0034791585 0.003172592 0.0061585247 0.022548087 0.0071777343 0.015491495 0.021978218 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2447.0 11.46465 28054.0 0.03518215 0.0006772653 0.013081914 0.0011406573 0.039780423 0.0011763028 0.001782277 0.0023882512 0.0074142725 0.0031011621 0.0009980751 0.0027803523 0.008269765 0.002245669 0.006451843 0.0020674414 0.0057032867 0.0023169601 0.0023169601 0.0040992373 0.0048477934 0.0015684038 0.0013901761 0.0011050118 0.0052398946 0.0067370073 0.0029229342 0.0062379697 0.0043131104 0.005026021 0.0021030868 0.0027090611 0.007057817 0.006131033 0.0032080987 0.010515435 0.019462464 0.0062023243 0.0067370073 0.0076281456 0.0059884507 0.0077350824 0.0060953875 0.0021030868 0.014186925 0.004277465 0.0026021246 0.0033150353 0.025985599 0.014543381 0.018428745 0.015862266 0.013474015 0.008447994 0.011442219 0.017145505 0.0019248592 0.0038497185 0.002245669 0.0039210096 0.004027946 0.025843017 0.0051686033 0.007877665 0.00295858 0.030120483 0.007342981 0.017608898 0.015933556 0.0591716 0.008590575 0.008162829 0.01775148 0.028623369 0.0090183215 0.00295858 0.02445284 0.0140443435 0.02965709 0.03069081 0.012796749 0.0027447066 0.07079204 0.021280387 0.049048264 0.019783275 0.0048834393 0.0053111855 0.007663791 0.008590575 0.0015327582 0.0008911385 0.0035289086 0.0010337207 0.001318885 0.0011050118 5.8449388 0.0 3.0 0.0 3.0 810496.0 847872.0 0.0 0.0 421.0 0.0 1.0 0.0 0.0 0.0 1452925700.0 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 10.0 0.0 5.0 0.0 5.0 0.0 641536.0 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 143360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -641536.0 0.0 11776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8463035 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9877949 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6270547 0.0 5.7833652 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 143138.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -641041.0 0.0 11700.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 1.0 2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -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 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 2.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 -1.0 0.0 0.0 0.0 -2.0 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 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 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 1.0 0.0 0.0 1.0 0.0 2.0 0.0 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 -2.0 0.0 1.0 2.0 0.0 0.0 0.0 -1.0 1.0 -4.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 1.0 1.0 0.0 3.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 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 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -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 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 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 280.0 780828.0 11700.0 835584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1756.0 647168.0 0.0 0.0 0.0 0.0


Input: 0.43688193 0.0138134565 0.006836906 0.0050576776 0.0054339888 0.0050775497 0.0023336695 0.002134319 0.0036196022 0.002294285 0.002025247 0.0012882705 0.0017395742 0.0024193623 0.0008896592 0.011187101 0.0046213004 0.0009196922 0.00088732137 0.0010737235 0.0013472574 0.0028132978 0.00080801273 0.00068887 0.001500929 0.00069750217 0.00056909776 0.0005762913 0.0007715955 0.000659916 0.0006362673 0.004498651 0.009156998 0.0008578279 0.0007941652 0.0007260065 0.00974381 0.002128564 0.000798841 0.00069777196 0.0026114294 0.0014039064 0.00058096705 0.00052144064 0.0010155459 0.00134438 0.0019337995 0.0010469276 0.0044037863 0.0038109499 0.0013526526 0.0008427215 0.00094397034 0.0008702367 0.0009937856 0.00072429806 0.0027213106 0.0015904885 0.0010204016 0.00070343685 0.00097310415 0.0012272154 0.00062107097 0.00060965127 0.0031629032 0.00768817 0.0010340692 0.0017896591 0.0071711354 0.0027181634 0.0009792186 0.0009075531 0.03146502 0.0035857926 0.000616575 0.00090917165 0.007264741 0.0020046555 0.0010520531 0.0008747327 0.0024903985 0.0008197022 0.001330982 0.0021883603 0.0024336595 0.0016157557 0.0016972224 0.0015083923 0.001086582 0.00059832144 0.00037010686 0.0019972823 0.0013850234 0.0015712457 0.0019116793 0.005122599 0.0022379057 0.0069298823 0.004126386 0.004315216 0.0037014284 0.006348646 0.0041922964 0.0012928563 0.0022050852 0.0040758513 0.00047279446 0.00080531515 0.003359916 0.0024639622 0.0042647715 0.004585243 0.0041449093 0.0009936057 0.0042491253 0.0045157354 0.007382715 0.0038014185 0.0019341591 0.0018535017 0.0019345188 0.0010699469 0.0010156358 0.0005259366 0.0013637126 0.0004315216 0.0005409531 0.00065245276 0.0031896092 0.0015145069 0.00091447687 0.008523698 0.0052229487 0.0046989005 0.00096662994 0.0006696273 0.0013931161 0.020569615 0.00035922666 0.009514066 0.0008423618 0.00828802 0.0006113597 0.0005195524 0.0035210508 0.0005923868 0.00047827951 0.0006609951 0.0010273253 0.00065146363 0.0005571385 0.00048079726 0.00084398035 0.0005174842 0.00057341385 0.0014506642 0.00077699067 0.0005637026 0.0006383354 0.00040301724 0.0011211109 0.00039303623 0.0004206414 0.0004924867 0.0005253971 0.00046137473 0.0009856928 0.00087230484 0.0013915874 0.0005950844 0.00036668996 0.0006457088 0.00060965127 0.0004560695 0.0006190928 0.00042450792 0.00082428806 0.0005172145 0.00045337193 0.000658837 0.0005173044 0.0004970726 0.0015011989 0.0010329003 0.0020559994 0.0015542511 0.0015208011 0.000678799 0.00066683977 0.00044114294 0.00070550496 0.0004792686 0.005685133 0.0034114395 0.0014322309 0.0029377458 0.0025445297 0.0008381356 0.001685443 0.0027291335 0.0011470076 0.001445539 0.000615496 0.0007760915 0.00071629527 0.00050345686 0.0006528124 0.0005059746 0.0018069237 0.00072789483 0.0021455588 0.00086043554 0.00048646214 0.00044932557 0.0005890598 0.0004998601 0.001159866 0.002212009 0.0009127684 0.00077833945 0.0003853032 0.00033890497 0.00038755118 0.00042945344 0.0031843937 0.0010283145 0.0011224597 0.00048025773 0.00063959433 0.00041668495 0.00046560093 0.00044114294 0.010212918 0.003964891 0.00096734933 0.0013663202 0.0017205114 0.001003227 0.0004545409 0.0004989609 0.00321092 0.0017191626 0.002495344 0.0005931961 0.00047225493 0.00043367964 0.0012996002 0.0008139474 0.0018723847 0.0016929063 0.0014726945 0.0010709361 0.0013151562 0.0011107703 0.0018853331 0.024746267 0.13536084 0.00010414029 1.4433952e-05 8.498495e-06 7.2394587e-06 7.104562e-06 5.782574e-05 8.858219e-06 6.250216e-06 5.5307664e-06 8.0038735e-06 6.475044e-06 1.28151905e-05 6.115319e-06 1.6817128e-05 0.000108996566 0.04208176 0.00026826467 0.00017550067 0.00011281864 0.00011232402 0.0001051745 0.00011619106 9.901421e-05 0.000488641 0.00020522291 0.00014550862 0.00011906886 6.461554e-05 9.083047e-05 0.00011479713 0.0001795026 0.056367323 0.0005899934 0.00031844625 0.000172443 0.00019420635 0.00021286706 0.0003386358 0.00018062674 0.00052474835 0.00041853962 0.00039866485 0.0003493376 0.00034209815 0.00023121302 0.00021560997 0.00038477048 0.019543435 0.00021907232 0.00014366503 0.00028683545 0.00011542665 0.0001417315 0.00033045205 0.00026772506 0.00029083737 0.00037487806 0.00016902562 9.1370064e-05 0.0002519871 5.5307664e-05 0.00018687696 0.00018539309 0.028443068 0.00034421153 0.00036539033 0.00042348585 0.00031624295 0.00018008715 0.00036345678 0.0007693611 0.00047492646 0.0011246791 0.00019146345 0.0002227595 0.00023440558 9.033585e-05 0.00030702498 0.00040639893 0.031638186 0.000390616 0.0002699284 0.0004086472 0.000291332 0.00026291376 0.00635611 0.0009577669 0.00013772957 0.00029101723 0.00011992321 0.000109086504 0.0011235999 0.00019056414 0.0010852444 0.0034250733 0.02814018 0.0018359447 0.00038220745 0.00089494995 0.00032865343 0.0011067379 0.0059788483 0.0030726332 0.00029587353 0.0003291031 0.000172443 0.00020513298 0.000566971 0.00043787484 0.00033512848 0.0024225207 0.019727165 0.00064179377 0.00089535466 0.0012014353 0.00051004457 0.0009997648 0.00457907 0.0029659297 0.00035671197 0.00057358097 0.00036341182 0.00027770744 0.0005119331 0.00031480403 0.0003899865 0.000961589 0.015556472 0.0006594203 0.0038062015 0.002383985 0.0010847048 0.0015888588 0.01143758 0.0065378156 0.00030693505 0.0004015876 0.0002523019 0.00024506243 0.0002872851 0.0002376431 0.00021799313 0.0005804607 0.010147293 0.0005548753 0.0031791565 0.0015953789 0.0010990937 0.0020649545 0.009253018 0.0056808614 0.00023588944 0.00020553767 0.00026304866 0.00037685654 0.000225997 0.00015477154 0.00019263255 0.0005013662 0.004773636 0.00026125004 0.0017840094 0.00097467395 0.0010275085 0.0011415412 0.0039512604 0.002520321 0.0002167341 0.0003100377 0.00038692882 0.0003807236 0.00015751443 0.00011425754 0.000106388565 0.0005873854 0.0058887824 0.00060348306 0.0010667185 0.0006241672 0.0008580782 0.0005562692 0.0018347756 0.0012817439 0.0008457576 0.00052906503 0.00079391233 0.00076868664 0.00038247724 0.00026628617 0.00042141744 0.0011437446 0.01606863 0.0022526856 0.0024152363 0.0017228563 0.0059214723 0.001435841 0.0017472276 0.0015536958 0.0066807163 0.0011932517 0.0016430874 0.0017951609 0.0025595757 0.0014744215 0.0030161114 0.005523437 0.07905255 0.012002078 0.017267592 0.010430126 0.052745797 0.015048271 0.0074695926 0.0086818645 0.049123954 0.0063147866 0.004682266 0.007830711 0.01760587 0.008763567 0.017888522 0.025639465 0.009971432 0.0021431046 0.003085808 0.0019862198 0.008421154 0.0031267717 0.0013652 0.0016622876 0.007634976 0.0013005845 0.0006081145 0.001177199 0.0031247481 0.0015773476 0.0033132439 0.004018799 0.00029083737 0.00019631973 0.00018921516 0.00017729928 0.00019389158 0.00014807166 0.00019398151 0.00016439417 0.00018058177 0.00015737953 0.00017891805 0.00014798173 0.0001744215 0.00016327003 0.00016066202 0.00013754971 64368.0 15.953284 1026881.0 0.0526059 0.0012367548 0.0022057083 0.00096018915 0.0063571143 0.013337475 0.00065830414 0.0018638966 0.0044046 0.0035320548 0.00064759207 0.00056481716 0.0027539704 0.008295022 0.007983399 0.007045607 0.012789213 0.0067281406 0.006097104 0.0033538453 0.0026877506 0.0026780122 0.0053852396 0.0025708918 0.0040024114 0.0012552574 0.0054797004 0.0004976234 0.0014402837 0.0034522014 0.001834682 0.00019671218 0.0027637088 0.026229914 0.0011900113 0.0057484754 0.0043286416 0.0039965683 0.0010916552 0.0026595097 0.011959516 0.0025105148 0.00024248185 0.0004810684 0.0048739826 0.0018512369 0.0027656564 0.002476431 0.004584757 0.0009436342 0.0036459921 0.008608593 0.006934591 0.011362563 0.009188017 0.008481995 0.0015094251 0.0003388903 0.00020255512 0.009159776 0.0064992923 0.012839852 0.010858123 0.048309397 0.000532681 0.03636059 0.01371824 0.03592529 0.031713508 0.06420023 0.012985925 0.010079064 0.012512648 0.03900744 0.0011004197 0.004838925 0.027165757 0.022331702 0.030122282 0.033962067 0.025119755 0.0064106747 0.039143775 0.042180154 0.045952745 0.02399986 0.0151205445 0.007220895 0.009701221 0.0057747685 0.006617125 0.00023079598 0.0017996243 0.0002668274 0.00026098447 0.00010517285 5.6359177 2.0 20.0 0.0 12.0 11121112.0 11456512.0 0.0 0.0 944.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 -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 2.0 28.0 4.0 0.0 5.0 2.0 4771328.0 1024.0 4096.0 10.0 1.0 0.0 1.0 6.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 5001728.0 0.0 0.0 -215552.0 0.0 226816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -851968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4771328.0 -40960.0 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.78797185 0.0 0.0 0.0 0.0 0.0 -0.9976016 0.0 0.0 0.0 0.0 0.0 3.1775215 0.0 0.0 -4.266062 0.0 6.3593025 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.792836 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3423357 -4.8306565 5.960082 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -104.0 0.0 0.0 0.0 0.0 0.0 -104.0 0.0 0.0 0.0 0.0 0.0 5001688.0 0.0 0.0 -215488.0 0.0 226524.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 317760.0 0.0 0.0 -851608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4770864.0 -40600.0 6208.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 3.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 -2.0 -2.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 2.0 1.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 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 0.0 -2.0 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 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 2.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 2.0 1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -2.0 2.0 0.0 -2.0 1.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 -2.0 1.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 -1.0 0.0 -2.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -2.0 -2.0 0.0 -3.0 -1.0 0.0 0.0 -1.0 2.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 0.0 -2.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 1.0 -2.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 2.0 -1.0 2.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 -2.0 -2.0 1.0 0.0 0.0 0.0 3.0 0.0 2.0 0.0 -1.0 0.0 0.0 -1.0 2.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 -3.0 1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 2.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 3.0 -1.0 -1.0 -1.0 0.0 -1.0 -3.0 -2.0 1.0 0.0 0.0 -2.0 1.0 -2.0 1.0 0.0 0.0 1.0 0.0 -2.0 -3.0 0.0 0.0 -1.0 1.0 2.0 0.0 0.0 -1.0 -1.0 1.0 1.0 1.0 1.0 2.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 1.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -3.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 2.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 -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 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -3.0 -1.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 -1.0 0.0 -2.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 2.0 0.0 -2.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 1.0 3.0 0.0 2.0 -2.0 1.0 -1.0 -1.0 1.0 1.0 0.0 -3.0 -1.0 1.0 -2.0 0.0 0.0 -2.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 1.0 -1.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 1.0 0.0 0.0 1.0 -2.0 3.0 -1.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 -1.0 -1.0 2.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 2.0 -1.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 0.0 1.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 1.0 1.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 2.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 1.0 1.0 1.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 3.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -2.0 0.0 1.0 -2.0 -1.0 -2.0 -1.0 -2.0 0.0 2.0 0.0 0.0 -1.0 1.0 2.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 -1.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -3.0 0.0 0.0 -2.0 0.0 -2.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -2.0 -1.0 -1.0 1.0 -2.0 -2.0 0.0 0.0 -1.0 2.0 0.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -5.0 0.0 2.0 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 1.0 2.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 1.0 1.0 0.0 -1.0 -1.0 -2.0 1.0 0.0 -1.0 0.0 0.0 2.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 1.0 1.0 1.0 1.0 0.0 -2.0 -1.0 -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 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -3.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40600.0 11399168.0 6208.0 11448320.0 226524.0 10633216.0 4056.0 11117056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 11444256.0 0.0 0.0 0.0 0.0 7800.0 11407608.0 0.0 0.0 0.0 0.0


Input: 0.18336219 0.009303332 0.0056793597 0.0067611425 0.018011684 0.0030289919 0.004435309 0.0031912592 0.014766335 0.0011899611 0.0016767633 0.001568585 0.012927304 0.0028667243 0.0022176546 0.010276936 0.008654262 0.0007031588 0.0008654262 0.0010276936 0.0048139333 0.0037862398 0.0004327131 0.0002704457 0.001568585 0.00037862398 0.0005408914 0.0010276936 0.0008654262 0.00032453483 0.00048680225 0.0008654262 0.0016767633 0.0002704457 0.00048680225 0.0016226742 0.0024340113 0.0004327131 0.0004327131 0.0012981393 0.0014063176 0.0009195154 0.0021094764 0.0024340113 0.00075724797 0.0005408914 0.0008113371 0.00048680225 0.0016226742 0.0004327131 0.00064906967 0.007247945 0.0009195154 0.0002704457 0.0041107745 0.0007031588 0.0013522285 0.0008654262 0.0008654262 0.003515794 0.00059498055 0.0004327131 0.00059498055 0.00016226742 0.0029208134 0.0016226742 0.0008654262 0.0007031588 0.0013522285 0.023907399 0.0070856772 0.0018390308 0.0012440502 0.0009195154 0.00021635655 0.0008654262 0.0020553872 0.0071938555 0.0034617048 0.006220251 0.017741237 0.006166162 0.007356123 0.0026503678 0.0002704457 0.0075724795 0.0067611425 0.004976201 0.00032453483 0.0032994375 0.00037862398 0.0026503678 0.0002704457 0.010006491 0.005408914 0.0036780615 0.00059498055 0.00048680225 0.0004327131 0.0005408914 0.008113371 0.0010276936 0.0012981393 0.00021635655 0.0063825184 0.0005408914 0.008546084 0.00075724797 0.0004327131 0.00059498055 0.0004327131 0.00037862398 0.00075724797 0.0007031588 0.0033535266 0.0010817827 0.0070856772 0.008978797 0.0016767633 0.0011899611 0.0007031588 0.0005408914 0.00032453483 0.0005408914 0.0009195154 0.0028126352 0.0022176546 0.0011899611 0.001568585 0.00048680225 0.00021635655 0.012765037 0.0032994375 0.01579403 0.0007031588 0.0002704457 0.0010276936 0.009790134 0.0008113371 0.0428386 0.0004327131 0.016226742 5.4089138e-05 0.00016226742 0.0005408914 0.000108178276 0.000108178276 0.000108178276 0.00075724797 0.00059498055 0.00016226742 0.0002704457 0.0009736045 0.00016226742 5.4089138e-05 0.00021635655 0.0010817827 0.00032453483 0.00037862398 0.00032453483 0.0010276936 0.0051925573 5.4089138e-05 0.0025962787 0.0010817827 0.00016226742 0.00021635655 0.00032453483 0.0011899611 0.00016226742 0.0031912592 0.0014063176 0.0017849415 0.000108178276 0.00021635655 0.0002704457 0.0010817827 0.0 0.0002704457 0.0 0.0005408914 0.0012981393 0.0005408914 0.00032453483 0.002704457 0.0009195154 0.00037862398 0.00016226742 0.0007031588 0.00075724797 0.000108178276 0.000108178276 0.010439204 0.003569883 0.0067611425 0.0049221115 0.007031588 0.0024340113 0.009952402 0.022176547 0.0025962787 0.0021094764 0.0010817827 0.0004327131 0.06231069 0.00075724797 0.0012440502 0.0005408914 0.003083081 0.0008654262 0.0010817827 0.00032453483 0.0020553872 0.00032453483 0.0026503678 0.0025421896 0.0018390308 0.0005408914 0.00048680225 0.00048680225 0.00064906967 0.000108178276 0.000108178276 0.00016226742 0.0011899611 0.00021635655 5.4089138e-05 0.00021635655 0.002325833 0.0031912592 0.00037862398 0.0004327131 0.019580267 0.001568585 0.0005408914 0.002758546 0.008978797 0.0002704457 0.00021635655 0.0009195154 0.004651666 0.0024340113 0.0005408914 0.0021635655 0.005517092 0.00048680225 0.0030289919 0.001568585 0.0020012981 0.0020012981 0.0016767633 0.0026503678 0.00881653 0.0011899611 0.0037321507 0.06036348 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025620405 0.0019818475 0.0017807904 0.00080422795 0.0026137407 0.0043945312 0.0034466912 0.0012637868 0.0033318014 8.616728e-05 0.0005457261 0.0006318934 0.0076401653 0.0006606158 0.0020392924 0.0019818475 0.015940947 0.00094784005 0.0010340074 0.001349954 0.0032169118 0.0058306525 0.0018956801 0.0016659007 0.006060432 8.616728e-05 0.001551011 0.0006606158 0.012408088 0.0006318934 0.0018956801 0.0036477481 0.23069853 0.023696002 0.014447381 0.023121553 0.058737364 0.070398666 0.02450023 0.031623393 0.09768497 0.0059455424 0.017348345 0.008559283 0.123506434 0.015826058 0.040182676 0.09607652 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15.0 8.066667 121.0 0.05785124 0.008264462 0.0 0.0 0.0 0.016528925 0.0 0.0 0.0 0.0 0.008264462 0.008264462 0.0 0.016528925 0.05785124 0.008264462 0.024793388 0.0 0.03305785 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.041322313 0.0 0.0 0.0 0.008264462 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008264462 0.049586777 0.008264462 0.008264462 0.016528925 0.008264462 0.0 0.024793388 0.05785124 0.016528925 0.0 0.0 0.0 0.0 0.008264462 0.0 0.0 0.008264462 0.049586777 0.008264462 0.03305785 0.049586777 0.03305785 0.008264462 0.008264462 0.016528925 0.024793388 0.008264462 0.0 0.008264462 0.016528925 0.03305785 0.03305785 0.008264462 0.0 0.05785124 0.016528925 0.0661157 0.008264462 0.0 0.0 0.008264462 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0262227 0.0 0.0 0.0 1.0 18488.0 1368064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1534247200.0 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 12.0 0.0 5.0 1.0 5.0 1.0 984576.0 1024.0 4096.0 8.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 185856.0 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 -25600.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 -984576.0 0.0 72704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.096415 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53028.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 185424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -41132.0 0.0 0.0 0.0 -4488.0 0.0 0.0 0.0 0.0 -984396.0 0.0 72544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 480.0 1165928.0 72544.0 1241088.0 0.0 0.0 14896.0 1328640.0 53028.0 1314816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1119536.0 0.0 0.0 2044.0 991232.0 0.0 0.0 0.0 0.0


Input: 0.6305274 0.0033976606 0.008430578 0.002034358 0.0061525204 0.0016882346 0.0015116411 0.0018189139 0.002034358 0.0015504917 0.0014515992 0.0014551311 0.0017518083 0.001483386 0.0014551311 0.0016705752 0.002119123 0.004481945 0.001239687 0.0016352566 0.001596406 0.0015893423 0.001239687 0.0011937727 0.0014657268 0.0014798542 0.0011973045 0.0012255595 0.0013774299 0.0010772209 0.0012502825 0.0012008364 0.0024087364 0.0014727905 0.0011690495 0.0013385793 0.001458663 0.0013315156 0.0013527068 0.0012502825 0.0012608782 0.0009889241 0.0009889241 0.0013032607 0.0012079001 0.0010842846 0.0012255595 0.0010878164 0.0023098441 0.0016034697 0.0017659358 0.0019354656 0.0015116411 0.0016352566 0.0015575554 0.0015434279 0.0017553401 0.0014975136 0.0012997288 0.0017835952 0.0018471689 0.0014515992 0.0015752148 0.0016670434 0.0017694677 0.0016847027 0.0016387884 0.0013844937 0.0013844937 0.001292665 0.0015293004 0.0013138562 0.0013173881 0.0011584539 0.0009818603 0.0012820694 0.0013915574 0.0013350474 0.0012820694 0.0011231352 0.0015787466 0.001183177 0.0012467507 0.0012220276 0.0010630933 0.0011160715 0.0011619858 0.0011973045 0.0017412127 0.0011443264 0.001017179 0.0011725813 0.0011549221 0.0011443264 0.0010348384 0.00097479654 0.002034358 0.0013915574 0.0011443264 0.0015716829 0.0017729995 0.0015257685 0.0014798542 0.0011937727 0.0018118501 0.0013915574 0.0011867088 0.0012326232 0.0016882346 0.0012432188 0.0013350474 0.001483386 0.0012502825 0.0008193942 0.0015187048 0.0015716829 0.0017588721 0.001539896 0.0012538144 0.0012538144 0.0013173881 0.0011125396 0.00089709536 0.0012997288 0.0012432188 0.0013173881 0.0009006273 0.001045434 0.0019955074 0.001292665 0.0012043682 0.0016635115 0.0014657268 0.0012079001 0.0010630933 0.001239687 0.0014056849 0.001126667 0.0012079001 0.002225079 0.0016564478 0.0015010454 0.001017179 0.0010207109 0.0014763223 0.0017412127 0.0011407945 0.0010277746 0.0010489658 0.0010030515 0.0012856013 0.00091475475 0.001017179 0.0013633025 0.0011090076 0.0011090076 0.0014657268 0.0011337308 0.0010524978 0.0022780572 0.0015010454 0.0010277746 0.0010772209 0.0011443264 0.0009324141 0.0009465416 0.0013421113 0.0008547129 0.0010348384 0.0010136472 0.0008582448 0.00084058545 0.0011337308 0.0010524978 0.0009006273 0.0009218185 0.0014621948 0.001070157 0.0011902407 0.0011761133 0.0009783284 0.0010560296 0.0012326232 0.0011019439 0.0018118501 0.0011231352 0.0009995197 0.00086884043 0.0011019439 0.00091475475 0.0011407945 0.001070157 0.0016140654 0.0012255595 0.001130199 0.0012608782 0.0011054758 0.0011125396 0.0012538144 0.0012856013 0.0016423203 0.0010772209 0.00092535035 0.0010136472 0.0014763223 0.0009218185 0.0011973045 0.0012326232 0.0011937727 0.0010101153 0.0009677328 0.0009606691 0.001045434 0.0009783284 0.001373898 0.0010913484 0.0013421113 0.0013703662 0.0009606691 0.0015010454 0.001236155 0.0011337308 0.001236155 0.001373898 0.0016988303 0.0010419021 0.0012679419 0.0010595615 0.0015893423 0.0013244519 0.0012467507 0.0014515992 0.0018754238 0.0011796451 0.001070157 0.0016988303 0.001483386 0.0010948802 0.0010065835 0.0013844937 0.0016387884 0.0009818603 0.0013703662 0.001292665 0.0012184957 0.0008829679 0.001130199 0.0018189139 0.0016246609 0.0011196033 0.0009889241 0.0014515992 0.0014904498 0.0010807527 0.0012290913 0.017553402 0.3088601 8.877841e-06 7.27983e-05 4.083807e-05 4.4389206e-05 5.3267045e-06 1.0653409e-05 7.102273e-06 7.102273e-06 3.5511364e-06 0.0 3.5511364e-06 5.3267045e-06 1.7755682e-06 3.5511364e-06 1.5980113e-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 0.0032670454 2.3082386e-05 3.3735796e-05 3.018466e-05 3.018466e-05 2.8409091e-05 3.018466e-05 2.6633523e-05 1.953125e-05 1.953125e-05 2.8409091e-05 1.953125e-05 1.2428977e-05 1.953125e-05 2.8409091e-05 1.953125e-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 0.008567116 7.634943e-05 0.00022549716 0.0006871449 0.00040482954 0.00012961647 0.00015447443 8.522727e-05 0.0001509233 3.1960226e-05 1.2428977e-05 5.3267046e-05 4.6164772e-05 5.3267045e-06 2.8409091e-05 0.0002503551 0.016688565 0.00042080967 0.0003728693 0.00049893465 0.0003622159 0.0002627841 0.00034978692 0.000378196 0.00035333808 0.00025923294 0.00022727273 0.0002237216 0.00028764203 0.00022549716 0.00032137785 0.0005859375 0.10066051 0.003100142 0.0028355825 0.004057173 0.0029598721 0.0023117897 0.0029740767 0.0023916904 0.002462713 0.0018235085 0.0016548296 0.0020294744 0.0020507812 0.0018164063 0.0022798295 0.0027734374 0.08844638 0.0033167615 0.0033504972 0.0047975853 0.003227983 0.002574574 0.0029492187 0.0026171876 0.0028533381 0.002269176 0.0017223011 0.0021821733 0.0022993607 0.002162642 0.0023029118 0.003837003 0.037164416 0.0017098722 0.0014861505 0.0019087358 0.0014151279 0.001328125 0.0015838068 0.0013050426 0.0014204546 0.0010546875 0.0010102983 0.0011381392 0.0013210227 0.0011079545 0.0013352273 0.0018927557 0.025403054 0.002093395 0.0011168324 0.0016175426 0.001237571 0.0010511364 0.001459517 0.0013441051 0.0017453835 0.0011381392 0.0009712358 0.0012553267 0.0014488637 0.0016619319 0.0019975142 0.0053675426 0.040271662 0.004534801 0.002281605 0.003100142 0.0023757103 0.0022549715 0.0028533381 0.0025887785 0.0035369317 0.002759233 0.0020205965 0.0027539062 0.0028391336 0.002734375 0.0031640625 0.010839844 0.0275 0.0026633523 0.0019069603 0.0023171164 0.0020845172 0.0020791905 0.0022851562 0.0022318892 0.0023011363 0.0022105824 0.0020791905 0.001850142 0.002281605 0.0022301136 0.002146662 0.0036505682 0.002787642 0.0004403409 0.0004953835 0.0004953835 0.00032137785 0.00037109375 0.0008753551 0.00034978692 0.0005007102 0.0012109375 0.00048473012 0.00026455967 0.00036576705 0.00024857954 0.0008025568 0.0008948864 0.0016974432 0.0005823864 0.00046875 0.0006338778 0.00053267047 0.00045632102 0.0013902698 0.00040482954 0.00054332387 0.0012624289 0.0005912642 0.00029474433 0.000324929 0.00034446022 0.00095703127 0.0004243608 0.0069105113 0.006484375 0.0062855114 0.006612216 0.006789773 0.0062801847 0.0063742897 0.006299716 0.00642223 0.00620206 0.0058540483 0.0062890626 0.00625 0.006283736 0.0061203837 0.006360085 360.0 7.361111 2650.0 0.0064150942 0.00754717 0.006037736 0.008679246 0.0064150942 0.00981132 0.0064150942 0.0067924527 0.004528302 0.0056603774 0.0071698115 0.0056603774 0.0026415095 0.011698113 0.006037736 0.006037736 0.004528302 0.0056603774 0.00754717 0.015471698 0.008301887 0.010943396 0.00754717 0.004528302 0.010943396 0.009433962 0.0067924527 0.0071698115 0.0071698115 0.0056603774 0.0033962263 0.0071698115 0.008679246 0.012075472 0.009056604 0.010566038 0.0064150942 0.007924528 0.00754717 0.015471698 0.0071698115 0.0064150942 0.0041509434 0.008301887 0.009056604 0.014339623 0.010943396 0.010566038 0.0128301885 0.0067924527 0.007924528 0.005283019 0.00981132 0.005283019 0.009056604 0.00981132 0.05509434 0.008679246 0.0071698115 0.008679246 0.0056603774 0.0071698115 0.009056604 0.0041509434 0.02264151 0.018490566 0.007924528 0.014339623 0.023018869 0.028301887 0.00490566 0.007924528 0.015849056 0.032075472 0.003773585 0.00754717 0.020377358 0.016981132 0.010943396 0.018867925 0.0064150942 0.00490566 0.020377358 0.00754717 0.03924528 0.015849056 0.00754717 0.007924528 0.023773585 0.0071698115 0.0033962263 0.0071698115 0.00981132 0.024150943 0.003018868 0.0067924527 6.2903104 0.0 0.0 0.0 2.0 283136.0 405504.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1259933700.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.0 2.0 7.0 4.0 5.0 0.0 4.0 0.0 77824.0 1024.0 4096.0 4.0 0.0 0.0 3.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -74752.0 0.0 0.0 0.0 0.0 0.0 125952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4920454 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.2065957 0.0 0.0 0.0 0.0 0.0 4.0441 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4076257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77824.0 0.0 0.0 0.0 0.0 0.0 237568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 401408.0 81920.0 319488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.056891818 0.0083176205 0.0061784475 0.0056639235 0.0057637095 0.0049664574 0.0042045456 0.005425891 0.0050516916 0.005636898 0.0037482304 0.0044675246 0.0049539837 0.0031682213 0.004323042 0.0046431907 0.005045455 0.0037690192 0.004939432 0.004157771 0.0043583834 0.0031734186 0.0041068383 0.0038428197 0.00507352 0.0033438872 0.0031578268 0.0029239522 0.0041546524 0.003437437 0.0037877292 0.0037908475 0.006180526 0.0038199518 0.0034852515 0.0030175021 0.004898893 0.0041619283 0.0038397014 0.0037212048 0.004729464 0.0038916734 0.0033324533 0.0030964997 0.0043708566 0.0037243231 0.0037243231 0.0035756829 0.005519441 0.003944685 0.003103776 0.0028979662 0.0036733905 0.003071553 0.0026869595 0.0028626253 0.0041764807 0.003312704 0.003521632 0.0033501238 0.004003933 0.0032149963 0.0035018825 0.0034530286 0.006609816 0.0039478033 0.0036234972 0.003221233 0.0041567315 0.0032201936 0.003538263 0.0030590799 0.0049997196 0.0037783743 0.003705613 0.0035819195 0.0041317847 0.003122486 0.0035611307 0.0034655018 0.0051722666 0.0036214183 0.003646365 0.0033314137 0.003931172 0.0033771493 0.0033625972 0.0035320262 0.0046504666 0.0036442862 0.0038095575 0.0035101979 0.0041099563 0.003381307 0.003683785 0.003782532 0.0059133894 0.0036245366 0.003336611 0.0029520174 0.004011209 0.003047646 0.00326385 0.003028936 0.0049862065 0.0031609451 0.0031962863 0.003049725 0.003571525 0.002829363 0.0030809082 0.003191089 0.0045091026 0.0032877573 0.0032253906 0.003139117 0.0038875157 0.0033251771 0.0032877573 0.0036224579 0.0046296776 0.0032908756 0.0034779753 0.003165103 0.0040392745 0.003193168 0.0034717387 0.0033438872 0.008663755 0.0045984946 0.004012249 0.0035247502 0.004367738 0.0034343186 0.0030258177 0.003383386 0.0045444435 0.0038324252 0.002954096 0.0031858918 0.0037253627 0.002794022 0.0028428757 0.0029780034 0.0052367123 0.0032035625 0.0034977247 0.0030206204 0.0036598777 0.0031786158 0.0033023094 0.0032628106 0.004541325 0.0028376787 0.0030351726 0.00270463 0.0035185134 0.0032274695 0.002982161 0.003148472 0.00501739 0.0034083326 0.0032721655 0.0027929826 0.0037721375 0.003010226 0.0030559616 0.003183813 0.004136982 0.0030019104 0.0031193674 0.003010226 0.003646365 0.0028314418 0.002913558 0.0030258177 0.0046743737 0.003111052 0.0038428197 0.0028543097 0.00356217 0.003148472 0.0029852793 0.003118328 0.0042606755 0.003146393 0.003336611 0.0031786158 0.0036494832 0.0031848524 0.0033314137 0.0033501238 0.0067283125 0.0040631816 0.0037201655 0.0033324533 0.0041224295 0.0032461795 0.0033054277 0.003221233 0.004332397 0.003329335 0.003116249 0.0030809082 0.0036474045 0.0029800823 0.0030725927 0.0027950613 0.004247163 0.0032721655 0.0030933814 0.0030019104 0.003709771 0.0030237387 0.0029322677 0.002939544 0.0039769076 0.0031089731 0.0027202214 0.0026339479 0.0035330658 0.0029426622 0.0035798405 0.0028792561 0.004959181 0.0032316274 0.0033958594 0.0029707272 0.0038064392 0.0030663558 0.0031994046 0.0029062817 0.0044477754 0.005454995 0.0034686204 0.0031318408 0.0037887685 0.0030809082 0.0032461795 0.0031879707 0.004618244 0.0033158222 0.0034166481 0.0030424488 0.003737836 0.0030871448 0.003312704 0.0032430612 0.004347989 0.003026857 0.0031858918 0.0028636646 0.004017446 0.0030892238 0.0042294925 0.0045319702 0.011717709 0.0 0.0 0.0 0.0 0.0 1.0411114e-06 3.1233342e-06 0.0 1.0411114e-06 2.0822229e-06 0.0 0.0 1.0411114e-06 0.0 1.0411114e-06 0.0020603596 4.1644457e-06 2.0822229e-06 6.2466684e-06 5.205557e-06 1.0411114e-06 3.1233343e-05 1.1452225e-05 0.0 0.0 1.0411114e-05 0.0 0.0 0.0 0.0 0.0 0.0009541786 2.6027785e-06 6.2466684e-06 1.3013892e-05 9.370003e-06 5.7261127e-06 5.205557e-05 2.290445e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028739881 3.5918343e-05 2.8110007e-05 1.093167e-05 2.2383896e-05 3.4877234e-05 4.268557e-05 1.8219449e-05 3.5918343e-05 5.205557e-06 9.890558e-06 1.6137226e-05 2.6548341e-05 7.2877797e-06 1.7178338e-05 1.3013892e-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 0.00088338304 1.1972781e-05 1.2493337e-05 8.328891e-06 1.3534448e-05 1.6137226e-05 1.3534448e-05 1.1452225e-05 1.093167e-05 1.3534448e-05 6.767224e-06 1.3534448e-05 1.1972781e-05 1.0411114e-05 1.8219449e-05 9.890558e-06 0.0016314216 6.559002e-05 5.7261128e-05 4.8932237e-05 4.7891124e-05 3.0712785e-05 2.290445e-05 0.0005569946 3.019223e-05 1.7178338e-05 1.9781117e-05 0.0002784973 2.0822228e-05 0.00027537395 1.6657783e-05 7.808336e-05 0.0007459563 3.748001e-05 3.4356675e-05 2.0822228e-05 2.2383896e-05 1.7178338e-05 1.4055004e-05 1.1972781e-05 1.6657783e-05 2.290445e-05 1.926056e-05 1.7698894e-05 6.767224e-06 4.6850014e-06 2.290445e-05 5.101446e-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 0.0013237732 3.748001e-05 4.3206124e-05 6.038446e-05 4.268557e-05 3.1753898e-05 9.213836e-05 5.8822796e-05 3.9562234e-05 5.7781683e-05 4.4247234e-05 4.3206124e-05 7.860391e-05 7.808336e-06 8.849447e-06 0.00016189282 0.0011738531 6.975447e-05 4.6329456e-05 4.6329456e-05 3.852112e-05 3.8000566e-05 4.7891124e-05 6.038446e-05 5.2576124e-05 5.101446e-05 6.871335e-05 5.205557e-05 7.548058e-05 1.4575559e-05 4.4247234e-05 0.00025246953 0.0045970273 0.00029515507 0.0002738123 0.0002654834 0.00031077175 0.00023997617 0.00033107342 0.00031389509 0.00032795008 0.00035397787 0.00032795008 0.00035397787 0.000523679 0.00015200226 0.00018740006 0.00074075075 0.003210267 0.0002748534 0.00030192232 0.00024986675 0.00028994953 0.00028370286 0.00034460786 0.0009375208 0.00040915678 0.00035293677 0.00032586788 0.0006720374 0.00046485625 0.0004372668 0.00017542727 0.000864643 0.0022607734 0.00018271506 0.00029151118 0.00024622286 0.0002998401 0.0002961962 0.0002868262 0.0004044718 0.00044507513 0.0003243062 0.00024726396 0.0003185801 0.000462774 0.00016241337 0.00019052338 0.0010431936 0.00034616955 5.465835e-05 4.3206124e-05 4.5288347e-05 5.465835e-05 4.841168e-05 5.3617237e-05 5.205557e-05 7.079558e-05 4.841168e-05 3.852112e-05 4.9452792e-05 4.4767792e-05 2.6548341e-05 4.216501e-05 4.737057e-05 0.0993517 0.06201328 0.062458877 0.055308003 0.06059685 0.059547927 0.054917064 0.05445429 0.060460985 0.053118024 0.052087326 0.05290928 0.05639232 0.050499108 0.056629695 0.053818174 4008.0 5.704591 22864.0 0.017144857 0.010453114 0.009359692 0.008616165 0.013427222 0.012421274 0.011808957 0.011459062 0.012596221 0.009753324 0.008484955 0.008616165 0.013908328 0.010540588 0.01176522 0.009972008 0.016751224 0.011896431 0.008747376 0.00756648 0.009840798 0.008484955 0.0078289015 0.008353744 0.010278166 0.008441217 0.009622114 0.008878587 0.011546536 0.00896606 0.009665851 0.009184744 0.018063331 0.010890483 0.010365641 0.009053534 0.010890483 0.008834849 0.010671798 0.008310007 0.014258223 0.01163401 0.009753324 0.00896606 0.011459062 0.009359692 0.011677747 0.009622114 0.014826802 0.009622114 0.009972008 0.009009797 0.0120713785 0.009359692 0.009578376 0.009797061 0.013689643 0.009228482 0.010584325 0.009534639 0.0111529045 0.009840798 0.0104093775 0.010715535 0.017975857 0.011021693 0.009709587 0.008178797 0.013164801 0.00826627 0.009403429 0.008353744 0.015482855 0.009315955 0.008922324 0.008703639 0.011371588 0.008003849 0.009928271 0.007872638 0.013208537 0.008003849 0.008703639 0.008834849 0.011415325 0.009403429 0.008178797 0.007872638 0.010890483 0.008834849 0.011896431 0.008441217 0.011327852 0.00896606 0.010015746 0.008747376 6.5544667 0.0 0.0 0.0 14.0 962054.0 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: 0.1710538 0.003284801 0.0028187146 0.0029222893 0.0034179688 0.0027447324 0.0032626064 0.0028926965 0.0038914536 0.0027965198 0.0028483074 0.002988873 0.002907493 0.003210819 0.0046016807 0.003935843 0.0032700046 0.0023304333 0.0032700046 0.0039654355 0.0027447324 0.002389619 0.0028926965 0.0035141453 0.00472745 0.0026707505 0.0026781487 0.0026263613 0.0029592803 0.0031590317 0.0027447324 0.0028113164 0.003765684 0.0029814749 0.0028852983 0.002951882 0.007553563 0.0028483074 0.0024488044 0.0032626064 0.003388376 0.003129439 0.0037804805 0.0028852983 0.0037360913 0.0049272017 0.0030998462 0.0034475615 0.003351385 0.0037064985 0.003388376 0.0032774028 0.0031368372 0.004202178 0.0033957742 0.0031812263 0.0033217922 0.0035585347 0.0027447324 0.0027373342 0.0030776516 0.0024857954 0.003758286 0.0022342566 0.009832209 0.0058741714 0.0046682646 0.0043353457 0.006303267 0.0046312734 0.004142992 0.0033439868 0.002870502 0.002729936 0.0027373342 0.0026041667 0.0036177202 0.004017223 0.003203421 0.002907493 0.0030406604 0.0031886245 0.0035881274 0.002766927 0.003425367 0.004831025 0.002833511 0.0036177202 0.0028483074 0.0023600261 0.0026633523 0.0034919507 0.0029296875 0.0028779001 0.0027373342 0.0025153882 0.0030110676 0.0030776516 0.0039210464 0.0028779001 0.0027817234 0.0033291904 0.0035215435 0.002397017 0.0029370857 0.0036991003 0.0030332622 0.0029370857 0.0032256155 0.0031516335 0.0029222893 0.0031442354 0.0035511365 0.0027891216 0.004017223 0.0026707505 0.004424124 0.003462358 0.0027595288 0.0028261128 0.0027595288 0.0027077415 0.0031146426 0.0027817234 0.0030628552 0.0026781487 0.0025523792 0.0023230352 0.0029814749 0.0030850498 0.0032182173 0.0034549597 0.0040320195 0.002914891 0.0026707505 0.0026337595 0.0031516335 0.0070504854 0.0032552083 0.006636186 0.0042539653 0.004098603 0.0035437383 0.0037508877 0.002766927 0.0032256155 0.0026707505 0.0036251184 0.0029000947 0.002907493 0.0025523792 0.002766927 0.0024931936 0.0029666785 0.002352628 0.0020788945 0.002470999 0.0026189631 0.0026411577 0.0023378315 0.0025301846 0.0031590317 0.003758286 0.003425367 0.0039580376 0.002692945 0.0025375828 0.0035437383 0.004239169 0.002833511 0.0028926965 0.0035659329 0.0038914536 0.0037064985 0.0026263613 0.002988873 0.0031368372 0.003462358 0.0026189631 0.0030110676 0.002544981 0.0036325166 0.0027373342 0.0025671758 0.002988873 0.0031220408 0.002101089 0.0023600261 0.0025153882 0.0028113164 0.0033661814 0.002988873 0.003610322 0.004128196 0.0031442354 0.0041133994 0.0051121567 0.004283558 0.0048458213 0.0036251184 0.002729936 0.003129439 0.002648556 0.0024266099 0.0032626064 0.0030184658 0.0030036694 0.002914891 0.0025227864 0.0029740767 0.003469756 0.0026855469 0.002803918 0.0026263613 0.0028261128 0.0029370857 0.0027743252 0.0024857954 0.0028409092 0.0025153882 0.0029296875 0.003092448 0.0028852983 0.0026855469 0.0042909565 0.0034105706 0.0038766572 0.0026781487 0.003092448 0.0032700046 0.0036769058 0.0027891216 0.0036917021 0.0027151396 0.0024118135 0.0032330137 0.0031368372 0.0025153882 0.002766927 0.0023822207 0.0030332622 0.002944484 0.0030406604 0.004157789 0.003506747 0.0026707505 0.0033069958 0.003765684 0.0032774028 0.004017223 0.0027077415 0.0027077415 0.0025597773 0.0028631038 0.0036177202 0.0054450757 0.061068702 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0140856095 7.081942e-05 0.000115547475 4.4728054e-05 0.00017145753 5.2182728e-05 0.00041746182 0.00018263955 1.4909351e-05 1.8636689e-05 1.4909351e-05 1.8636689e-05 2.6091364e-05 3.7273378e-06 1.1182014e-05 1.8636689e-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 0.025718631 0.00018263955 0.00035036975 0.000827469 0.00054046395 0.00025345897 0.00096538046 0.00042864383 0.00026464098 8.572877e-05 6.709208e-05 0.000115547475 0.00023482228 8.945611e-05 0.00016400286 0.0002460043 0.0057997378 4.4728054e-05 0.00016027552 8.572877e-05 0.00017891222 7.4546755e-05 0.00085728767 0.00035036975 2.2364027e-05 0.0 1.1182014e-05 1.1182014e-05 1.8636689e-05 1.1182014e-05 3.7273378e-06 3.7273378e-06 0.005475459 5.2182728e-05 0.00017518488 0.0003839158 0.00026091366 0.00013045683 0.00057401 0.0002944597 2.9818702e-05 7.4546756e-06 4.4728054e-05 5.9637405e-05 5.2182728e-05 4.8455393e-05 1.8636689e-05 2.6091364e-05 0.009691078 0.00020873091 0.00017891222 6.709208e-05 0.0030862356 0.00015282085 0.0002161856 0.0001379115 0.00012672949 0.00033918774 8.945611e-05 0.00012672949 0.00031309636 0.00017145753 0.00022364027 0.0001379115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01293759 0.0004249165 0.0007529222 0.0025308623 0.0009392891 0.00059637404 0.0011629293 0.0006970122 0.0008125596 0.00020127624 0.00022364027 0.00026091366 0.00041000717 0.00022364027 0.00039137047 0.0003354604 0.0072347624 0.00032055104 0.00047709924 0.0027656846 0.00040255248 0.00036155176 0.00036155176 0.00037273378 0.00042118918 0.00029818702 0.0005143726 0.0003056417 0.0005031906 0.0002683683 0.00034664242 0.00031309636 0.00803614 0.00063737476 0.00070446683 0.00028327768 0.0065153865 0.00052928197 0.0006075561 0.00046964455 0.00052555464 0.0008871064 0.0005926467 0.00043982585 0.00096538046 0.0004621899 0.0006970122 0.00054791867 0.010384363 0.00065601146 0.0010063812 0.0007193762 0.0011629293 0.0007491949 0.00080510497 0.00073428557 0.0014648438 0.0005553733 0.0005889194 0.0005889194 0.0009765625 0.0006411021 0.00084237836 0.0010250179 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009459984 0.002042581 0.0060830154 0.0018823056 0.0062954733 0.0039323415 0.0015729365 0.0018636689 0.010745915 0.0010772006 0.00076410425 0.0013008409 0.0038876133 0.0017928495 0.0032353292 0.0051325443 0.044351593 0.044414956 0.047445282 0.042327646 0.048664123 0.043229662 0.042696655 0.043263208 0.046752 0.040217973 0.04982705 0.043073114 0.049010765 0.041682817 0.044373956 0.04622644 519.0 6.928709 3596.0 0.01724138 0.010567297 0.011957731 0.0077864295 0.015294772 0.006952169 0.0041713016 0.0077864295 0.00862069 0.008064516 0.011957731 0.00862069 0.010845384 0.010567297 0.010567297 0.0075083426 0.015294772 0.010567297 0.015572859 0.015016685 0.014738599 0.015572859 0.0144605115 0.012513904 0.016129032 0.0122358175 0.010845384 0.011679644 0.011679644 0.005839822 0.00862069 0.0052836486 0.013904338 0.01028921 0.008898776 0.015572859 0.015294772 0.00945495 0.011123471 0.01028921 0.011401557 0.004727475 0.0061179087 0.008342603 0.00945495 0.004727475 0.009733037 0.0100111235 0.0122358175 0.00862069 0.0055617355 0.011957731 0.009733037 0.006952169 0.0066740825 0.01028921 0.013904338 0.0061179087 0.0063959956 0.013904338 0.013070078 0.0075083426 0.0122358175 0.009176863 0.01028921 0.013626251 0.0100111235 0.009733037 0.012513904 0.015572859 0.016685206 0.0066740825 0.011123471 0.010845384 0.008064516 0.0055617355 0.018353727 0.013904338 0.010567297 0.011123471 0.013348165 0.010567297 0.013070078 0.00862069 0.015294772 0.0100111235 0.006952169 0.0100111235 0.00862069 0.008064516 0.0066740825 0.0036151279 0.012513904 0.006952169 0.0063959956 0.0063959956 6.510121 0.0 0.0 0.0 7.0 135168.0 143360.0 1.0 0.0 10.0 1.0 1.0 0.0 0.0 0.0 816304060.0 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 14.0 0.0 6.0 0.0 5.0 0.0 12288.0 4096.0 4096.0 7.0 0.0 0.0 1.0 3.0 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 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 40960.0 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 61440.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.809337 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.5465965 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.530514 0.0 0.0 7.9118385 0.0 0.0 0.0 0.0 0.0 0.0 -3.7506745 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.99159 0.0 0.0 3.1285317 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1348.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1772.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9606.0 0.0 0.0 40063.0 0.0 0.0 0.0 0.0 0.0 0.0 -11764.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 58270.0 0.0 0.0 1424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4160.0 17824.0 1424.0 135168.0 0.0 0.0 0.0 0.0 1348.0 139264.0 56.0 16512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52.0 16384.0 0.0 0.0 0.0 0.0