Input: 0.019528657 0.0049233586 0.005202924 0.0049251276 0.0039601405 0.003956602 0.0037290128 0.0040079146 0.0038838354 0.0038599484 0.0038174829 0.003831638 0.0039320514 0.0038732188 0.0038022217 0.0038818447 0.004787557 0.0037440525 0.003782537 0.003734542 0.0037801042 0.0038117322 0.003769709 0.0037360904 0.0037816523 0.0037951441 0.0038630448 0.003706674 0.0037920475 0.0037376385 0.0037590924 0.003675046 0.0041112034 0.0038247816 0.003836946 0.0037809887 0.0038979906 0.0038130593 0.003851986 0.003867026 0.0038371673 0.0038382732 0.0037655067 0.003826551 0.0039028563 0.003879633 0.0038990963 0.0038044334 0.0038760942 0.0038577367 0.0038170405 0.0038789695 0.0038351768 0.0037871818 0.003764622 0.0037898358 0.0038181462 0.0038995387 0.0038112898 0.0038185886 0.0037991253 0.003772363 0.003806645 0.0038168193 0.004237937 0.0040379944 0.0037931534 0.0037860759 0.003802443 0.00394687 0.003772363 0.003776123 0.00378497 0.0037402925 0.0038223485 0.003758208 0.0037537843 0.0037442737 0.0037794407 0.0037170693 0.0040194155 0.0037834218 0.0037486972 0.0038351768 0.003754448 0.0038610543 0.0038382732 0.0037694878 0.0037716995 0.0038057605 0.0037869606 0.0038170405 0.0037237045 0.003754669 0.0036819023 0.003738302 0.0037237045 0.0038431392 0.0037464856 0.0037261373 0.0038805176 0.0039650067 0.0038130593 0.0037741323 0.003821685 0.0037902782 0.0037714783 0.0037279068 0.0038223485 0.0037701512 0.0038415908 0.0038075298 0.003790057 0.0037011446 0.003796471 0.0038630448 0.00397695 0.003834292 0.0037201657 0.0037310033 0.0037106553 0.0037161845 0.0037453796 0.0037498032 0.0037517936 0.0037593136 0.0037467068 0.0037867394 0.0045508994 0.003717954 0.0036697378 0.0039234255 0.003745822 0.00384712 0.0037110974 0.0036728343 0.003738302 0.003972748 0.003744716 0.0043007503 0.0036993753 0.00388848 0.0037157421 0.0037157421 0.0038800754 0.0037124245 0.0037542267 0.0037172905 0.0037438315 0.0037159633 0.0036706224 0.0036991541 0.0037274645 0.0037524572 0.0037730266 0.0036991541 0.0037418408 0.0036706224 0.0036496108 0.0036934034 0.0036836718 0.003734542 0.003715521 0.003723041 0.0036949518 0.0037046834 0.003721935 0.0037349844 0.0036670836 0.0036551403 0.0036761519 0.003755996 0.003754448 0.0036938458 0.003667526 0.0036403215 0.0037657279 0.0037292338 0.0037188386 0.0036821235 0.0037084434 0.0037340997 0.003787403 0.003725474 0.0037827583 0.0037323304 0.003735648 0.0037816523 0.0038225697 0.003792711 0.0037876242 0.003870786 0.004051265 0.0038070874 0.0038699012 0.0040621026 0.0038869318 0.0037933746 0.00388848 0.0038650355 0.0039066165 0.003827878 0.003802664 0.0037814311 0.0038402637 0.0037847487 0.0037982406 0.0037847487 0.0038320804 0.0038037698 0.0038389368 0.0038325225 0.0037869606 0.003779883 0.0038208005 0.0037327728 0.003802443 0.0037358692 0.003723041 0.0037473703 0.0037411773 0.0037197233 0.0036991541 0.0037714783 0.0037467068 0.0036938458 0.003668853 0.0036783635 0.003698933 0.0036606696 0.0036880954 0.0036807966 0.004093288 0.0037172905 0.00368898 0.0037692667 0.0037528996 0.0036880954 0.0037009234 0.0036918554 0.003904847 0.0037803254 0.003717954 0.003705347 0.0037241469 0.0036679683 0.003720608 0.0037517936 0.003963237 0.0040963846 0.004097933 0.004090634 0.0041934806 0.0041078855 0.0041594193 0.01057571 0.001354997 0.0 2.2124208e-07 0.0 0.0 0.0 1.1062104e-07 0.0 3.5398732e-06 1.1062104e-07 0.0 0.0 3.318631e-07 0.0 0.0 0.0 0.00042345733 2.0354271e-05 0.0 0.0 0.0 0.0 0.0 0.0 8.407199e-06 5.5310517e-07 3.318631e-07 0.0 0.0 0.0 0.0 0.0 0.0010210321 3.3850036e-05 1.9911786e-06 4.092978e-06 1.7699366e-06 6.637262e-07 9.955893e-07 8.849683e-07 9.0709245e-06 6.6372622e-06 9.734651e-06 8.185956e-06 9.292167e-06 2.4336628e-06 3.7611153e-06 1.8363093e-05 0.0010649487 0.00017467061 2.4336628e-06 2.4336628e-06 4.2035995e-06 6.637262e-07 1.7699366e-06 6.41602e-06 1.1504588e-05 2.1017997e-06 9.0709245e-06 8.51782e-06 1.0619619e-05 1.2168314e-06 2.1017997e-06 5.663797e-05 0.0021850972 0.0009888414 2.7655258e-06 6.305399e-06 1.0951482e-05 2.544284e-06 1.1062103e-06 1.8805576e-06 0.0005674859 1.1062103e-06 1.1062103e-06 1.283204e-05 9.62403e-06 1.4380735e-06 2.3230418e-06 5.5974244e-05 0.00036305824 1.4159493e-05 3.429252e-06 3.20801e-06 3.097389e-06 4.092978e-06 3.097389e-06 3.097389e-06 3.097389e-06 3.7611153e-06 1.1283346e-05 1.18364505e-05 1.8473713e-05 2.544284e-06 3.097389e-06 1.7699366e-06 0.0016938293 5.5974244e-05 2.8650848e-05 2.9203953e-05 0.0001046475 4.3363445e-05 6.8031935e-05 3.108451e-05 0.00016858646 6.504517e-05 9.292167e-06 7.1903676e-05 1.0951482e-05 7.743472e-06 1.4823218e-05 8.893931e-05 0.00095698255 2.4889732e-05 8.5952546e-05 1.073024e-05 5.0000708e-05 1.8916196e-05 0.00020133029 0.00010840862 5.5310516e-06 6.858504e-06 1.3717008e-05 1.9469302e-05 9.62403e-06 1.5044461e-05 7.5222306e-06 5.0885676e-05 0.0009784431 3.1195133e-05 7.0908085e-05 2.2566692e-05 8.418261e-05 7.588603e-05 0.00021360922 0.00012212562 1.1615209e-05 4.8452013e-05 2.5110976e-05 2.0907375e-05 1.8363093e-05 5.641673e-06 1.6814398e-05 6.6593864e-05 0.0012562125 3.196948e-05 0.0003050928 0.0001283204 7.699224e-05 6.4492066e-05 0.00012278935 6.482393e-05 6.1173436e-05 8.506758e-05 2.345166e-05 9.889521e-05 0.00015210392 7.278864e-05 2.1681723e-05 0.00060587144 0.0044282707 0.00025055665 0.0011033342 0.0007094127 0.00048629008 0.00022865368 0.00032190722 0.00019026818 0.00010155011 0.00016703777 0.0001193601 0.0005043213 0.0010472493 0.0003880586 8.506758e-05 0.0041414304 0.0026041297 0.00023617591 0.000495361 0.0005961368 0.00038451873 0.00020686134 0.00011106352 8.960304e-05 8.7058754e-05 0.000108519234 0.00011106352 0.00025686205 0.0005843003 0.00043794868 0.000111506 0.0026409666 0.0009072031 0.00016338727 0.0002756676 0.0002845173 0.00016847583 8.4956955e-05 7.953653e-05 5.1438783e-05 6.0509705e-05 5.9292874e-05 4.7235182e-05 9.646154e-05 0.00027699507 0.00015818808 6.084157e-05 0.0010766746 0.0011502375 0.0001225681 0.0001625023 0.00016869708 0.00034425265 0.00027168528 0.00019602047 0.00022168456 0.00048817063 7.1350565e-05 5.685921e-05 0.0001199132 0.00024911857 0.00013020096 0.00022810057 0.0005496759 0.0015873013 0.00025210535 0.00028938462 0.00033153125 0.0006101856 0.0006260044 0.0003566422 0.00037102296 0.0010604132 0.00014270113 0.0001314178 0.00020940563 0.00053883507 0.000281973 0.0005196976 0.0010737984 0.059004486 0.05886112 0.058915988 0.05885913 0.05893391 0.05907141 0.059156477 0.059126943 0.05897683 0.05884154 0.058666095 0.0587276 0.05882583 0.058871742 0.058550276 0.058839884 20466.0 5.7926807 118553.0 0.011800629 0.009843699 0.0105016325 0.009379772 0.010138925 0.010020834 0.009742478 0.009674998 0.009877439 0.01011362 0.010383542 0.009666563 0.010206406 0.010138925 0.010552242 0.010290756 0.010223276 0.009725608 0.010029269 0.009624387 0.009987094 0.010332931 0.009734043 0.010358237 0.010577547 0.010122055 0.009691868 0.010248581 0.010855904 0.010003964 0.0099280495 0.010071445 0.010569112 0.010830599 0.009885874 0.010071445 0.01101617 0.010805294 0.01011362 0.010299191 0.009708738 0.010569112 0.009826829 0.009902744 0.010214841 0.009497861 0.01016423 0.009708738 0.011041475 0.010391977 0.010257016 0.010585982 0.01013049 0.01016423 0.010155795 0.010012399 0.009742478 0.01007988 0.0099617895 0.010661898 0.010290756 0.010358237 0.009894309 0.010619723 0.010037704 0.011690973 0.010704073 0.011235481 0.011210176 0.01389252 0.01019797 0.0099449195 0.010037704 0.011463228 0.010189535 0.010214841 0.011699408 0.010779989 0.01186811 0.012171771 0.010653463 0.009877439 0.012222381 0.012374212 0.01282127 0.011108955 0.0104847625 0.009767783 0.010442587 0.010526937 0.010138925 0.010560677 0.010257016 0.01009675 0.009700303 0.010248581 6.581412 1.0 1.0 0.0 79.0 4521304.0 299008.0 0.0 0.0 122.0 0.0 1.0 0.0 1.0 0.0 1459953500.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 66560.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -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 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62464.0 -4096.0 181248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.870893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5126157 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4031167 -5.006032 5.372311 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -3940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22204.0 0.0 0.0 -3208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -62020.0 -3588.0 180812.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 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 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 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -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 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 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 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 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 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3588.0 102400.0 180812.0 114688.0 0.0 0.0 8.0 4521304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 110592.0 0.0 0.0 0.0 0.0 532.0 103172.0 0.0 0.0 0.0 0.0


Input: 0.16684978 0.0045640734 0.00394694 0.0041097007 0.004014757 0.0027601453 0.0023261176 0.002319336 0.0031670465 0.0024753148 0.002746582 0.002271864 0.011352539 0.0026041667 0.0034993489 0.004638672 0.00326199 0.0031263563 0.0024956597 0.0019395617 0.003133138 0.003241645 0.003411187 0.0021362305 0.0031534832 0.002963596 0.0022311741 0.0024617512 0.0035468207 0.002298991 0.0024820964 0.0018853082 0.0041368273 0.0019327799 0.0035264757 0.0022447375 0.005852593 0.0039401585 0.021389432 0.0023668078 0.0029161242 0.0022854274 0.0035942926 0.0032009548 0.0030992297 0.0030653211 0.0029364692 0.0025160047 0.002875434 0.0029500325 0.0025634766 0.0039605033 0.0033365886 0.002380371 0.0046725804 0.0027194554 0.0027872722 0.0021430121 0.002298991 0.0020684137 0.0023668078 0.002766927 0.0069851344 0.0019666883 0.007968479 0.0036214192 0.002597385 0.0033976238 0.0036756727 0.0024142796 0.002102322 0.0023939344 0.0027533637 0.0027126735 0.0034722222 0.0029093425 0.0036756727 0.004116482 0.0030246312 0.00390625 0.0035129124 0.0028483074 0.0034450954 0.0023939344 0.0023532445 0.0024549696 0.009521484 0.0028076172 0.0022515191 0.0022515191 0.0021294488 0.0021769207 0.002400716 0.002061632 0.002488878 0.0030992297 0.002339681 0.0027126735 0.0027601453 0.002665202 0.003479004 0.004380968 0.004279243 0.0033840602 0.0041978625 0.0027126735 0.003797743 0.0032755535 0.0032213 0.013983833 0.002983941 0.0032484266 0.0026312934 0.0018920898 0.003004286 0.002963596 0.003092448 0.003004286 0.0030246312 0.0022854274 0.0028483074 0.002746582 0.0025499132 0.002210829 0.0024617512 0.013570149 0.0028686523 0.0018039279 0.0047132703 0.002746582 0.0028008355 0.0027194554 0.004374186 0.0029025609 0.002427843 0.0030721028 0.0031534832 0.0028889973 0.0022515191 0.0047268337 0.012051052 0.0038180882 0.0023261176 0.0022854274 0.006917318 0.0023735894 0.00253635 0.0024074977 0.0027940539 0.0017971463 0.0023939344 0.0018717448 0.002638075 0.004075792 0.0024753148 0.0020412868 0.0045640734 0.0025431316 0.002298991 0.003797743 0.0024820964 0.002298991 0.0022040473 0.0020684137 0.0027601453 0.0020480687 0.0029161242 0.0026584202 0.0026787652 0.0025227864 0.0025634766 0.007765028 0.0030992297 0.0020277235 0.0038384332 0.0038926867 0.0021430121 0.0024820964 0.002081977 0.0020548503 0.002400716 0.0031399196 0.0022176106 0.002448188 0.0052897134 0.0020548503 0.0037299262 0.0027058918 0.002427843 0.0027126735 0.0041775173 0.0032484266 0.002448188 0.0025906032 0.0028008355 0.0027058918 0.003648546 0.0027126735 0.0030517578 0.0034383137 0.0022040473 0.0021294488 0.0026787652 0.014343262 0.005493164 0.002400716 0.0030246312 0.0023464626 0.0022854274 0.0027737087 0.002190484 0.0021226672 0.0029296875 0.0023125543 0.0023261176 0.0024549696 0.002665202 0.002271864 0.0018581814 0.0022515191 0.002319336 0.0075615775 0.0031195746 0.0030110676 0.0022515191 0.0019938152 0.0020345051 0.0019259983 0.0029161242 0.0025160047 0.0020345051 0.0028347438 0.0040486655 0.0025770399 0.0022176106 0.0024685329 0.0024820964 0.0022176106 0.0038655598 0.0025770399 0.0024414062 0.0027533637 0.0026109484 0.0023464626 0.0024414062 0.004014757 0.002726237 0.004957411 0.0029703777 0.0026245117 0.0020684137 0.002400716 0.0030178493 0.002529568 0.0031467015 0.009012858 0.062937066 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0064227763 9.219296e-05 2.0487325e-05 1.707277e-05 2.0487325e-05 1.707277e-05 7.170564e-05 3.073099e-05 0.00015365494 6.8291083e-06 1.707277e-05 1.707277e-05 1.02436625e-05 1.02436625e-05 2.7316433e-05 5.8047422e-05 0.0063442416 6.146198e-05 8.5363856e-05 1.02436625e-05 0.00010585118 2.390188e-05 0.000116094845 7.170564e-05 1.02436625e-05 1.02436625e-05 6.8291083e-06 1.707277e-05 1.707277e-05 1.02436625e-05 3.073099e-05 7.170564e-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 0.020524886 0.00010243663 0.0015365494 0.0004268193 0.0004848667 0.0005258414 0.0016014259 0.0010072935 0.00036877184 8.5363856e-05 0.00018097137 0.0004029174 0.000283408 0.00017414226 8.19493e-05 0.00018438592 0.009618799 0.00030048078 0.00024243335 6.487653e-05 0.000505354 0.00019804414 7.170564e-05 5.8047422e-05 0.0007785184 6.146198e-05 7.8534744e-05 0.0001263385 0.000536085 7.5120195e-05 0.00031755355 0.00095266063 0.008734429 0.00030048078 0.0005087686 7.170564e-05 0.00027999343 0.00018097137 0.00031072443 0.00037218642 0.00048145215 0.00062486343 0.00010926573 6.829108e-05 0.00030048078 1.707277e-05 0.0011916794 0.00043364838 0.007600798 0.0003858446 0.0007785184 0.00057705963 0.0009868061 0.00047120848 0.0010175372 0.00046437938 0.00055657234 0.00017072771 6.829108e-05 6.487653e-05 5.8047422e-05 5.8047422e-05 6.146198e-05 0.0006658381 0.016625464 0.0020180016 0.015119646 0.0010550972 0.0028067636 0.0012428977 0.0017482517 0.0011165593 0.002963833 0.0013043598 0.0016526442 0.001990685 0.0030833425 0.0013077742 0.0005190122 0.0013897235 0.015761582 0.0019053213 0.0052584135 0.0019497104 0.001700448 0.0007614456 0.0034589435 0.0012428977 0.0010141226 0.0029228583 0.0050671985 0.00075803103 0.0027555453 0.00055315776 0.0015194766 0.0023218968 0.0067198426 0.000566816 0.0013658217 0.00027657888 0.0017755682 0.000819493 0.0010550972 0.0003960883 0.0022399474 0.00057705963 0.00028682256 0.00017414226 0.0014648438 0.00019121503 0.0010789991 0.001990685 0.012309467 0.0017448372 0.0047359867 0.003332605 0.0048623253 0.0035101618 0.0033804087 0.006166685 0.004114538 0.0040189303 0.002519941 0.0017892264 0.0035716237 0.0021614127 0.0018404447 0.0028784692 0.013265543 0.0050671985 0.007382266 0.009639286 0.0077988417 0.008051518 0.016461566 0.009393439 0.014317226 0.0064671654 0.0069793486 0.007908108 0.013589926 0.007832987 0.0036365003 0.009062227 0.035258688 0.031202197 0.032148026 0.03153682 0.033459216 0.032513384 0.034268465 0.032701187 0.032489482 0.03138658 0.030952934 0.032124124 0.032482654 0.032141197 0.03071733 0.032100223 1297.0 10.558211 13694.0 0.011245801 0.0012414196 0.013436542 0.0038703082 0.012122097 0.004381481 0.19950344 0.0037242589 0.0035051848 0.002044691 0.002774938 0.007813641 0.00810574 0.007813641 0.008909011 0.0026288885 0.0037242589 0.00452753 0.004089382 0.0031400614 0.0061340732 0.0030670366 0.023733022 0.008397838 0.005038703 0.0021177158 0.0016795677 0.002774938 0.002555864 0.0040163575 0.03636629 0.0018986417 0.0028479625 0.009712283 0.0019716665 0.0073754927 0.00576895 0.0024828392 0.0023367899 0.0040163575 0.005257777 0.006426172 0.005330802 0.00686432 0.0049656783 0.011829998 0.0074485177 0.0070103696 0.0032861107 0.0033591355 0.0074485177 0.0029209873 0.002555864 0.0028479625 0.062290054 0.0048196292 0.001825617 0.002774938 0.0019716665 0.0038703082 0.00343216 0.001825617 0.0015335183 0.007813641 0.0015335183 0.006499197 0.0054038265 0.004308456 0.00810574 0.01730685 0.007667592 0.008835986 0.00576895 0.00452753 0.01029648 0.010661604 0.010223456 0.07463123 0.0074485177 0.009274134 0.006426172 0.0016795677 0.01139185 0.008470863 0.008397838 0.0038703082 0.00810574 0.0024828392 0.004600555 0.008909011 0.0032861107 0.0032861107 0.0021177158 0.11822696 0.0023367899 0.0013144442 5.195452 0.0 0.0 0.0 1.0 147456.0 147456.0 0.0 0.0 39.0 0.0 1.0 0.0 0.0 0.0 1273811800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 12288.0 4096.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 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 -12288.0 0.0 118784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.811863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.205267 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8005404 0.0 7.66892 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8933.0 0.0 118784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 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 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 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 19856.0 42560.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 692.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.18096529 0.0059197 0.004667757 0.004938045 0.005717572 0.0038866638 0.005593004 0.0044194055 0.0058194194 0.0038138037 0.0040715565 0.003572503 0.0051041353 0.003635962 0.004250965 0.00397676 0.0053109643 0.003462821 0.0036383122 0.003335903 0.004476597 0.0031282904 0.0035474328 0.003690803 0.0044507436 0.0028799388 0.0030491627 0.00303036 0.0037660135 0.002814913 0.002996672 0.0036132422 0.005220085 0.003917218 0.0029128434 0.0027663396 0.004172621 0.0033774255 0.0029504488 0.0034306997 0.0034056294 0.0028846394 0.0024271084 0.002993538 0.003279495 0.0028462508 0.00303036 0.0029018752 0.004178888 0.0026104343 0.0026778104 0.0023605158 0.0036547645 0.0024028216 0.002744403 0.0029198944 0.0033962282 0.0024647138 0.002260235 0.0028423336 0.0038835302 0.016017506 0.0026942627 0.0028689706 0.01837097 0.003683752 0.0035474328 0.0036720003 0.0033789924 0.0028760217 0.0030084236 0.0031792142 0.004276819 0.0029927548 0.0026441223 0.0031502268 0.0034048462 0.0031141886 0.0027733904 0.0028650535 0.003838874 0.0024059555 0.0029676845 0.0029731686 0.0031619784 0.002433376 0.0025642111 0.0027984607 0.003586605 0.002188158 0.002406739 0.0023393626 0.0028987415 0.0021239158 0.0020322527 0.0024083056 0.003607758 0.0030421116 0.002133317 0.002244566 0.0030883348 0.0021787568 0.0023581653 0.0022829548 0.0033891771 0.0028705376 0.0020745588 0.002223413 0.0029872707 0.0023573819 0.0022046105 0.0026025998 0.003482407 0.0018504938 0.002814913 0.0021889415 0.0036492804 0.0033029984 0.002175623 0.002550109 0.0028666202 0.0026746767 0.0015433839 0.0020353866 0.0024694144 0.0020087494 0.0019249211 0.0023041076 0.0049631153 0.0032732275 0.0028337156 0.0033531387 0.0035145283 0.0029151938 0.0028109958 0.0028462508 0.003169813 0.0030452455 0.0024208408 0.003031927 0.0026018163 0.0027091482 0.0019640932 0.0020635906 0.0044844314 0.002147419 0.0025469754 0.002147419 0.0024733315 0.0020745588 0.0020463548 0.002612001 0.0024913508 0.0017196588 0.0020158004 0.0018097548 0.002299407 0.0016256456 0.0026872116 0.0020917945 0.002899525 0.0025477586 0.0016789198 0.0018598952 0.002996672 0.0022719866 0.0020032653 0.0023283944 0.0023667833 0.0019225708 0.0014227337 0.0016906714 0.002378535 0.0018998508 0.0017329773 0.0020635906 0.0034385342 0.0020118833 0.0017102575 0.0018097548 0.016174193 0.0020181509 0.0023315283 0.0025540262 0.0032646097 0.002159954 0.0021121642 0.001989947 0.0023260443 0.0017792005 0.0017635316 0.0022100946 0.004056671 0.0028431169 0.002861136 0.0027608555 0.0026746767 0.0017384614 0.002687995 0.0026950461 0.016656796 0.002452962 0.0016326966 0.0020063992 0.002232031 0.0016381807 0.0017603979 0.0031635454 0.0030977363 0.0018081879 0.0024357263 0.0021325336 0.002543058 0.001689888 0.0023691335 0.01607078 0.0031956667 0.0017509966 0.0020142335 0.002094145 0.0025289562 0.0017964363 0.0019163032 0.00227277 0.0036633825 0.002195209 0.0017079072 0.0018575449 0.0033335527 0.0014838423 0.0013295038 0.0028901235 0.0025877145 0.0018207231 0.00151518 0.0035380316 0.0025203382 0.0018692965 0.0017384614 0.0024075224 0.003780899 0.015705695 0.0017643151 0.0022422157 0.0024890006 0.0013812111 0.0018849655 0.0024615799 0.003092252 0.0013929628 0.0012989496 0.001744729 0.0020612401 0.001382778 0.0015903906 0.035591062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.05242768 1.2158007e-05 9.020457e-06 0.0010377447 0.00096205133 7.4516815e-06 7.059488e-06 1.3334588e-05 1.2942394e-05 7.4516815e-06 1.2942394e-05 0.0009800922 0.0009828376 0.0010224492 2.078627e-05 0.0035281752 0.007126553 1.137362e-05 8.6282635e-06 0.00019688127 0.00015570092 7.843875e-06 3.1375503e-06 1.2550201e-05 1.37267825e-05 2.3531627e-06 5.4907127e-06 0.00016040726 0.00016119164 0.00019060618 2.1178465e-05 0.0015609312 0.006349225 3.019892e-05 4.549448e-05 0.00024472893 0.00016432919 1.7256527e-05 5.098519e-06 2.1570657e-05 3.529744e-05 2.5100402e-05 7.059488e-06 0.00012118788 0.00014275854 0.00022315826 3.4120858e-05 0.002171969 0.021618113 0.00013491466 0.0001451117 0.002473174 0.0010993192 0.0004337663 2.4316014e-05 4.1964733e-05 7.961534e-05 7.961534e-05 2.392382e-05 0.0004588667 0.00048396713 0.002442975 6.902611e-05 0.0057326965 0.03638107 0.00012079568 0.0002710059 0.005826431 0.003043816 0.00013138492 3.6081827e-05 4.784764e-05 0.0002208051 0.000112951806 4.549448e-05 0.0028026167 0.0028304625 0.0057530906 9.3734314e-05 0.013768354 0.041934926 0.00014785705 0.00015138679 0.005037729 0.00567073 4.667106e-05 3.3728666e-05 5.3338354e-05 0.0002517884 8.1576305e-05 6.902611e-05 0.005731912 0.0058279997 0.004920463 0.0001831545 0.014998274 0.008923978 3.4120858e-05 2.902234e-05 0.00031806916 0.004070579 1.9217496e-05 1.0197038e-05 1.6079945e-05 6.8241716e-05 1.4903363e-05 2.7845757e-05 0.004159215 0.004143135 0.00026786834 3.3728666e-05 0.0043698233 0.0010193116 1.6472139e-05 4.588667e-05 0.00013373808 0.000163937 3.529744e-06 9.530309e-05 5.726029e-05 2.0001882e-05 9.804844e-06 1.8040913e-05 0.00017491843 0.00017844817 8.667482e-05 1.9217496e-05 0.00036709337 0.0010083301 6.5888555e-05 0.00012314884 0.00013491466 7.059488e-05 6.353539e-05 0.00026394642 0.00016589796 8.9812376e-05 4.0003764e-05 6.4711974e-05 3.7650603e-05 4.706325e-05 4.274912e-05 5.1377385e-05 0.00014001317 0.00010000941 6.157442e-05 4.7063254e-06 7.059488e-05 5.4907127e-06 5.098519e-06 5.4907127e-06 5.4514934e-05 5.8829064e-06 5.294616e-05 5.4907127e-06 5.098519e-06 6.902611e-05 3.215989e-05 0.00015334776 0.00017178088 0.00069692836 0.00018472326 0.00020276417 0.00013687563 7.608559e-05 8.19685e-05 9.569528e-05 0.0001443273 3.3728666e-05 0.00012040349 6.392758e-05 6.902611e-05 7.4516814e-05 5.8829068e-05 0.00013726782 0.0002325709 0.0008573356 0.00077772024 0.0005878985 0.00042043172 0.00083458837 0.000706341 0.0003082643 0.00042435367 0.0003078721 0.0004663184 0.00021845194 0.00044357116 0.00036905435 0.00035650414 0.0004278834 0.0005255397 0.071564384 0.055656217 0.050914202 0.043950412 0.0506683 0.041631762 0.040585782 0.03872482 0.046430252 0.036301848 0.03351531 0.034565214 0.03861226 0.03437696 0.035251945 0.032390893 5997.0 6.1489077 36875.0 0.020854237 0.011579661 0.010983051 0.00919322 0.013857627 0.011145763 0.00978983 0.015376271 0.012583051 0.009301695 0.008352542 0.008976271 0.0112 0.010766102 0.012962712 0.0103322035 0.014535593 0.009735594 0.0103322035 0.009816949 0.01399322 0.00919322 0.00919322 0.011823729 0.012854237 0.012447458 0.007538983 0.008949152 0.01160678 0.0075118644 0.007023729 0.008759322 0.015755933 0.013342373 0.012067797 0.012637288 0.0133966105 0.009654237 0.010033898 0.011037288 0.015538983 0.010820339 0.008081356 0.009925424 0.012772881 0.009898305 0.011416949 0.011254237 0.014915254 0.007159322 0.009708474 0.012447458 0.012257627 0.008569491 0.0081355935 0.011498305 0.0128 0.0072677964 0.0073491526 0.0077559324 0.011769491 0.0065084747 0.006074576 0.009518644 0.013098305 0.011877966 0.007538983 0.008786441 0.0141288135 0.011688136 0.008027119 0.0078101694 0.01320678 0.011633898 0.0062915254 0.0074847457 0.013450847 0.0088677965 0.008894916 0.011444068 0.012881356 0.005938983 0.015267797 0.009301695 0.015701694 0.011091526 0.006888136 0.009572881 0.009871187 0.009301695 0.0046101697 0.005776271 0.0071322033 0.0054779663 0.005776271 0.007240678 6.5316725 0.0 0.0 0.0 18.0 1276416.0 3567616.0 0.0 0.0 12.0 0.0 1.0 0.0 1.0 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 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 892928.0 4096.0 4096.0 3.0 1.0 0.0 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -889344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 386048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.928745 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.5392067 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -892928.0 0.0 0.0 0.0 0.0 0.0 2281472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 389120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 744.0 3563608.0 385112.0 3178496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 3174368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.19025196 0.023299903 0.009540117 0.011741683 0.0102739725 0.0065435423 0.015105186 0.0034246575 0.0040973583 0.008255871 0.008806262 0.003485812 0.0017123288 0.008255871 0.0037304305 0.0019569471 0.0020792563 0.002751957 0.0014065558 0.0047700587 0.0028131115 0.0012842466 0.003180039 0.0025073385 0.0016511742 0.001834638 0.000917319 0.0023238747 0.001223092 0.0048312135 0.0018957925 0.0026296477 0.034063112 0.0019569471 0.005687378 0.001834638 0.0009784736 0.0013454012 0.001834638 0.0009784736 0.0022015655 0.0014065558 0.0023850293 0.0028742661 0.0014677104 0.00758317 0.008806262 0.0055650687 0.02140411 0.008745108 0.0043419767 0.0040362035 0.003363503 0.0022627201 0.0028131115 0.0017734834 0.002446184 0.003180039 0.0034246575 0.0008561644 0.0038527397 0.0023850293 0.003485812 0.001223092 0.0017123288 0.0049535227 0.0007950098 0.0047700587 0.0022627201 0.0023238747 0.0017734834 0.001223092 0.0036081213 0.0051369863 0.0008561644 0.0012842466 0.0016511742 0.0016511742 0.0026908023 0.00305773 0.001528865 0.0004280822 0.0020792563 0.008928572 0.0031188845 0.0071550882 0.0028742661 0.0025684931 0.0014677104 0.0011619374 0.0014065558 0.000917319 0.0028131115 0.0006727006 0.000611546 0.001528865 0.001528865 0.01583904 0.0057485322 0.013515166 0.009478963 0.03284002 0.0053204503 0.005075832 0.0054427595 0.021465264 0.0007338552 0.0022627201 0.014799413 0.012414384 0.018407535 0.020547945 0.009234345 0.0017734834 0.020058708 0.019875245 0.025073385 0.0088674165 0.0042196675 0.0051369863 0.002751957 0.008806262 0.0010396282 0.0020181017 0.000917319 0.0014065558 0.0012842466 0.000917319 0.0019569471 0.0017123288 0.004464286 0.0014065558 0.000611546 0.0010396282 0.0053204503 0.0001834638 0.0008561644 0.0007338552 0.0008561644 0.0006727006 0.0006727006 0.0014065558 0.0006727006 0.0008561644 0.0008561644 0.0011007828 0.0008561644 0.0007950098 0.000611546 0.0006727006 0.0006727006 0.0007950098 0.0007950098 0.0007950098 0.0009784736 0.0017123288 0.0008561644 0.0007338552 0.0006727006 0.0007950098 0.001834638 0.0009784736 0.0010396282 0.0011619374 0.0009784736 0.0014065558 0.0011007828 0.000917319 0.0010396282 0.0012842466 0.000917319 0.0009784736 0.000917319 0.000611546 0.0005503914 0.0011619374 0.0008561644 0.0011619374 0.0006727006 0.0004280822 0.0007338552 0.0016511742 0.001223092 0.0011619374 0.0008561644 0.0005503914 0.0011007828 0.000917319 0.000611546 0.0007338552 0.000305773 0.0010396282 0.0003669276 0.0010396282 0.000611546 0.000917319 0.0007950098 0.0006727006 0.0007950098 0.001223092 0.0007950098 0.0006727006 0.000917319 0.0009784736 0.0009784736 0.0006727006 0.000611546 0.0007950098 0.0003669276 0.0005503914 0.0007950098 0.0006727006 0.0010396282 0.0010396282 0.0009784736 0.0004892368 0.0007338552 0.0011007828 0.0004892368 0.0005503914 0.000917319 0.000917319 0.0017123288 0.0005503914 0.0010396282 0.0006727006 0.0007338552 0.0011619374 0.0008561644 0.0011007828 0.0008561644 0.0004280822 0.0008561644 0.0004280822 0.0010396282 0.0006727006 0.0007950098 0.0005503914 0.000611546 0.0010396282 0.0007950098 0.0007950098 0.0005503914 0.0009784736 0.0012842466 0.0006727006 0.0011007828 0.0023850293 0.0012842466 0.0010396282 0.0004280822 0.0004892368 0.0006727006 0.0006727006 0.0016511742 0.0016511742 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.045305524 0.00038364955 0.0014648438 0.0023716518 0.002546038 0.001813616 0.011683873 0.0047781807 0.00027901787 3.4877234e-05 0.00013950893 0.0002092634 6.975447e-05 3.4877234e-05 0.00013950893 0.00017438616 0.0902274 0.005196708 0.018554688 0.009172712 0.0066964286 0.0054408484 0.04537528 0.02622768 0.0008370536 0.0011858259 0.0007672991 0.0014648438 0.00052315847 0.0012207031 0.00052315847 0.0008719308 0.05995396 0.0008370536 0.022460938 0.011683873 0.008928572 0.005824498 0.06577846 0.037493024 0.000453404 0.00013950893 0.00017438616 0.0002092634 0.0 6.975447e-05 0.0002092634 6.975447e-05 0.025530133 0.0011509487 0.0020926339 0.0011858259 0.003627232 0.002546038 0.018589566 0.011997768 0.000453404 0.0009416853 0.00062779017 0.0009416853 0.00038364955 0.00059291295 0.00027901787 0.00048828125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01953125 0.00226702 0.008858817 0.007777623 0.002406529 0.002580915 0.013602121 0.0069754464 0.0015345982 0.0009416853 0.0011160715 0.0007672991 0.00080217636 0.00069754466 0.00069754466 0.0008719308 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07048689 0.023228237 0.028773716 0.03679548 0.015206473 0.020438058 0.044154577 0.031180246 0.017613003 0.0095563615 0.011997768 0.00882394 0.009137834 0.008579799 0.008928572 0.012241908 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 216.0 27.652779 5973.0 0.08103131 0.0025113008 0.010380044 0.00083710026 0.00066968024 0.0010045203 0.00083710026 0.00050226017 0.0018416207 0.0010045203 0.00083710026 0.00016742006 0.0016742005 0.017913947 0.016574586 0.013393604 0.023271387 0.014900385 0.008538423 0.007533903 0.006027122 0.005524862 0.0050226017 0.0018416207 0.0040180814 0.005524862 0.0065293824 0.00050226017 0.0073664826 0.005357442 0.0070316424 0.00066968024 0.0013393605 0.009208103 0.0010045203 0.008203583 0.0025113008 0.003013561 0.0018416207 0.0016742005 0.0013393605 0.0071990625 0.00050226017 0.0010045203 0.0016742005 0.0016742005 0.0035158212 0.0045203418 0.0021764608 0.0 0.0020090407 0.015570065 0.0046877614 0.0011719404 0.0038506612 0.0028461409 0.00083710026 0.00083710026 0.0016742005 0.00050226017 0.0021764608 0.00050226017 0.00033484012 0.0010045203 0.00033484012 0.035158213 0.013393604 0.03281433 0.021094928 0.07132094 0.010380044 0.011049724 0.011719404 0.049054075 0.00050226017 0.0046877614 0.02963335 0.03114013 0.041687593 0.046710197 0.019922987 0.0018416207 0.041687593 0.046710197 0.06144316 0.019922987 0.008203583 0.010882304 0.0046877614 0.019253306 0.0010045203 0.0010045203 0.0 0.00066968024 0.00033484012 0.00050226017 5.3920517 1.0 19.0 0.0 1.0 16352.0 24576.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1396250200.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 4608.0 512.0 8192.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.1631384 0.0 5.1123734 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4112.0 0.0 3864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3864.0 16384.0 0.0 0.0 7136.0 9216.0 0.0 0.0 28.0 11992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 8192.0


Input: 0.29870698 0.024314685 0.016528664 0.023668488 0.014362009 0.008102783 0.004282628 0.0019702623 0.006341584 0.0013430727 0.0012543793 0.003794814 0.005587689 0.0018372221 0.0024010593 0.001324067 0.002445406 0.0021096377 0.0043776566 0.0041305823 0.001989268 0.0010009693 0.0010326456 0.0011403448 0.0017358582 0.002470747 0.001172021 0.00089960534 0.0018942393 0.00091861107 0.0010263103 0.0007285536 0.0048528006 0.0022046666 0.001045316 0.001197362 0.005454649 0.0019132451 0.0008679291 0.00077290036 0.0013304022 0.00092494633 0.0010009693 0.00084892334 0.0010136397 0.0019069099 0.010864952 0.0027811741 0.0050808694 0.0030155785 0.0021096377 0.002242678 0.0030916014 0.004022883 0.004149588 0.0021476494 0.0023757182 0.001476113 0.002724157 0.0020716263 0.0018055459 0.0013177317 0.0010516513 0.0011656857 0.026715744 0.010244098 0.0051632277 0.007843038 0.0043966626 0.012385411 0.002115973 0.0033323409 0.0035730803 0.0087426435 0.0013620785 0.003465381 0.007748009 0.004460015 0.00814713 0.009737277 0.00547999 0.0017738696 0.009927334 0.007557952 0.008064772 0.009825971 0.0019005747 0.0011910268 0.0023757182 0.0015648064 0.0013113965 0.0002850862 0.0004307969 0.00021539845 0.00022806895 0.035528075 0.00069687737 0.018182164 0.002749498 0.007158831 0.0103581315 0.014355673 0.004250952 0.0047197603 0.0021793256 0.014792806 0.00051315513 0.00093128154 0.006012151 0.0050301873 0.009629578 0.0068484037 0.0058664405 0.0019765976 0.0115301525 0.0085969325 0.021938967 0.009363498 0.0030472546 0.0025911168 0.0035097278 0.0017611991 0.0016091531 0.00072221836 0.0009756283 0.0011276742 0.0038898427 0.0011783562 0.0016091531 0.0007855708 0.0013367374 0.0007665651 0.001248044 0.0008109118 0.0011846916 0.0006208544 0.0011593505 0.00050681987 0.0004941494 0.0005194904 0.00055750186 0.00048781416 0.0004434674 0.0004814789 0.0010009693 0.003459046 0.00052582566 0.00032943292 0.00069687737 0.00069687737 0.0004814789 0.00055116665 0.00090594054 0.0002850862 0.0004688084 0.0006461954 0.00063352485 0.0005194904 0.00072221836 0.003161289 0.00093128154 0.00015838121 0.0003801149 0.00038645018 0.0007538946 0.00047514366 0.00029142143 0.0004054559 0.0021286434 0.00046247317 0.0006208544 0.00055750186 0.0011593505 0.00043713217 0.00058284285 0.00050048466 0.0010009693 0.00051315513 0.00067153637 0.0017865401 0.00072221836 0.0007538946 0.00047514366 0.0007158831 0.001324067 0.00094395207 0.0013304022 0.00058284285 0.0013620785 0.00079824135 0.0012163677 0.0012797202 0.001678841 0.00055116665 0.00072221836 0.00050681987 0.00034843868 0.00050681987 0.0006398601 0.00046247317 0.001095998 0.0005891781 0.00024073945 0.0003801149 0.0002850862 0.00020272796 0.00021539845 0.00016471646 0.00050681987 0.0002217337 0.00025340993 0.0004434674 0.0002724157 0.0002344042 0.00046247317 0.00034210342 0.00085525855 0.00024073945 0.00018372221 0.00014571071 0.00034843868 0.00016471646 0.0006398601 0.00022806895 0.00058284285 0.0003927854 0.00022806895 0.00032943292 0.00082991755 0.00050681987 0.00017738696 0.00036110918 0.0005384961 0.00015838121 0.0002217337 0.0002344042 0.0006208544 0.0001963927 0.00030409193 0.00032943292 0.0006145191 0.00015838121 0.00031676242 0.00043713217 0.00037377968 0.00032943292 0.00029142143 0.00016471646 0.00041179117 0.0002090632 0.00036744442 0.00032943292 0.0003801149 0.0004054559 0.0002977567 0.0020526205 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.027420344 0.00020424837 0.000922309 0.00043402778 0.00052019506 0.00035424327 0.0011106005 0.0010276246 8.29759e-05 8.616728e-05 8.29759e-05 9.8932804e-05 8.616728e-05 6.382762e-05 9.574142e-05 8.935866e-05 0.042008143 0.0006159365 0.0022435407 0.0006638072 0.00080103654 0.0005808313 0.0015988818 0.0011329402 0.00032232946 0.00023616217 0.00027765014 0.00035424327 0.00019786561 0.0002329708 0.00020743975 0.00081380206 0.02775863 0.0007340176 0.0013946333 0.0007467831 0.040463515 0.026057623 0.001844618 0.0010914522 0.002313751 0.0005584916 0.00029360704 0.00022020527 0.00030318118 0.00021063113 0.00023935355 0.00034466913 0.035331775 0.002817989 0.003344567 0.0028116065 0.0072189034 0.0047806883 0.004847707 0.0022690718 0.0003510519 0.0004659416 0.00031275532 0.00016276042 0.0001499949 0.00014042076 0.000102124184 0.0002521191 0.059739456 0.003909441 0.0063763787 0.007988026 0.011265574 0.018506818 0.03339461 0.016914317 0.0008393331 0.0010084764 0.0010467729 0.0008393331 0.0005297692 0.00029679842 0.00022977941 0.0005138123 0.030321307 0.0010786867 0.0048317504 0.005288118 0.008843316 0.010324117 0.018229166 0.009516697 0.0003510519 0.00035743465 0.00029360704 0.00046913297 0.00029360704 0.00018510009 0.00017233456 0.00094784005 0.05108124 0.0040690103 0.0051508886 0.005900863 0.016097324 0.0075061275 0.013773999 0.009724137 0.0017073887 0.0017903646 0.0013148489 0.0022116269 0.0014393127 0.0007946538 0.000829759 0.00079146243 0.12708078 0.01287403 0.011425143 0.012628294 0.031147875 0.015331393 0.02401514 0.031524457 0.0065582874 0.010043276 0.0060731973 0.009743285 0.005090252 0.0032264858 0.0038424223 0.0031211704 0.015573937 0.0028913908 0.0034849877 0.0034403084 0.0036030689 0.0037658291 0.008546517 0.006188087 0.0005584916 0.0006318934 0.00060317095 0.0014616523 0.00052338646 0.00038615707 0.00032552084 0.00030318118 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3725.0 14.551947 54206.0 0.0029148066 0.000129137 0.00018448143 5.5344426e-05 0.012969044 9.224071e-05 7.3792566e-05 0.0002213777 0.00033206656 0.00020292957 9.224071e-05 0.00029517026 0.0002213777 0.0018448143 0.025753606 0.003007047 0.008449249 0.0045566913 0.0026565325 0.0032099767 0.0049625505 0.007877356 0.0071763275 0.0030808398 0.0029148066 0.0010515441 0.0018448143 0.00046120357 0.00027672213 0.00046120357 0.00036896285 1.8448141e-05 0.002711877 0.026436187 0.011751466 0.021067778 0.011179574 0.034885436 0.0053868573 0.008818212 0.0081909755 0.021953288 0.0019186068 0.008818212 0.021104675 0.01062613 0.021824153 0.021123122 0.011087334 0.0005903405 0.027340148 0.020440541 0.022359148 0.02741394 0.0043537617 0.0020477439 0.0048887576 0.0031915286 0.002342914 9.224071e-05 0.000258274 7.3792566e-05 1.8448141e-05 0.10211047 0.00042430728 0.051322732 0.0049809986 0.019591928 0.027377043 0.040235396 0.009390105 0.011105781 0.0049994467 0.04161901 0.00062723685 0.0018632624 0.013448696 0.01379921 0.026288603 0.019020034 0.012563185 5.5344426e-05 0.026786702 0.017617976 0.053794783 0.014813858 0.005700476 0.004778069 0.0071025346 0.0026380843 0.0034498025 0.0 0.00018448143 1.8448141e-05 0.00018448143 5.5344426e-05 5.477126 0.0 0.0 0.0 2.0 157847.0 229376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1842.0 1371418800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 23.0 4.0 0.0 4.0 0.0 46592.0 976.0 4096.0 15.0 7.0 0.0 1.0 5.0 0.0 0.0 0.0 0.0 0.0 -4096.0 -6144.0 -68608.0 0.0 0.0 0.0 0.0 17408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -4.7203274 -6.2339387 -6.1540394 0.0 0.0 0.0 0.0 4.9123464 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.284701 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.2849987 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 -4095.0 -5991.0 -68280.0 -52.0 0.0 0.0 0.0 17347.0 0.0 20896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4968.0 0.0 0.0 0.0 0.0 0.0 3540.0 0.0 0.0 -340.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -46492.0 -5276.0 0.0 0.0 0.0 0.0 -176.0 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 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5276.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 98308.0 0.0 0.0 0.0 0.0 612.0 86768.0 0.0 0.0 0.0 0.0


Input: 0.15158369 0.014400296 0.010244323 0.005586658 0.0077875727 0.0033666918 0.0027887928 0.0029357625 0.010282426 0.002586483 0.0023007088 0.0023279253 0.00801347 0.001970481 0.0034138672 0.0053807194 0.0061246394 0.0023732863 0.002202729 0.0018879239 0.0039899517 0.004458077 0.0010959213 0.0010650757 0.0027497825 0.0010959213 0.0009680033 0.0013082107 0.0023460698 0.0011802927 0.0014960051 0.0010550964 0.0067288475 0.0010278798 0.0017309749 0.0010777769 0.0031788973 0.0018099031 0.0010469314 0.0008518792 0.0018997177 0.00096255995 0.0008972401 0.0017191811 0.0016302735 0.00089179684 0.0018198824 0.00089542574 0.013391468 0.0018144391 0.0021791414 0.0055558127 0.0020956772 0.00207844 0.0015440877 0.0020448728 0.0023696574 0.0030437217 0.0015994281 0.004053457 0.002751597 0.002151925 0.0015595105 0.0019033466 0.0047030263 0.0023614925 0.0019133261 0.002198193 0.033392936 0.009330753 0.0036515587 0.0017917586 0.0029430203 0.0018942745 0.0009861477 0.00094895164 0.0027779064 0.0051992754 0.0029357625 0.0023115955 0.009328032 0.004632263 0.0034565066 0.005143935 0.0032233512 0.0063587017 0.0055830292 0.0048935423 0.0028822366 0.0029675153 0.00189246 0.0025556376 0.0026372874 0.003822116 0.0046023247 0.0035490429 0.00283869 0.0051149037 0.0026236789 0.0037078063 0.0049978727 0.009193763 0.008161347 0.0037241364 0.006466661 0.0051539144 0.005597545 0.002223595 0.008690257 0.0030518866 0.005259152 0.0055313176 0.003796714 0.0018824806 0.0060257525 0.0045116027 0.012279217 0.009674589 0.0042875195 0.0030210412 0.0033204237 0.0025937408 0.0022462755 0.0017400471 0.0028341538 0.0036869403 0.0025293282 0.0021582753 0.0045841807 0.0029040098 0.0021746054 0.007981718 0.0037413735 0.008817267 0.0027897002 0.002016749 0.0029303192 0.01013455 0.0023460698 0.024503093 0.0024113895 0.0080261715 0.0021383164 0.0017799648 0.005190203 0.00201312 0.0018135319 0.0021428526 0.0020729967 0.002177327 0.0019813676 0.0017645421 0.0021782343 0.0024068535 0.0018489135 0.0017364182 0.0021800485 0.0021183577 0.0017318821 0.0014724174 0.0015186856 0.0017463977 0.0015332011 0.0010795912 0.0012347258 0.0010251581 0.0010687046 0.0011467255 0.0013617366 0.0007929099 0.00082829146 0.0011086223 0.0013363344 0.0007167035 0.00068313634 0.0009843332 0.0013943964 0.0007375695 0.0007938171 0.000781116 0.0013444994 0.0018788517 0.0013744376 0.0013971181 0.0018253258 0.00083192036 0.00087365246 0.0009271784 0.0012528702 0.0012047876 0.0011358389 0.0011811999 0.0069574667 0.0021301515 0.0028341538 0.002251719 0.0025356787 0.0009326217 0.0058016693 0.003422032 0.0019468932 0.0021664402 0.0009970343 0.0010124571 0.02550285 0.00097163214 0.0011440038 0.0010841273 0.0018089958 0.0011766638 0.001140375 0.0012011587 0.0014234275 0.00079200265 0.0014070976 0.0013000456 0.0020267286 0.0011748493 0.0008809102 0.0014052831 0.0015377372 0.0012873446 0.0008546008 0.0009126629 0.002244461 0.0009816115 0.00094713725 0.00090721954 0.0018498207 0.0011204162 0.00079200265 0.0009734466 0.0090150405 0.002007677 0.0008446214 0.0058116484 0.004595067 0.0008845391 0.000983426 0.0009553022 0.002665411 0.0010931996 0.0008400853 0.001119509 0.0024513074 0.0007557139 0.0017119233 0.0017763359 0.0037041774 0.0022562551 0.0012428908 0.0016429747 0.0051911105 0.0023242966 0.0036098266 0.04500716 0.008346203 0.0 0.0 4.5421513e-07 9.0843025e-07 9.0843025e-07 1.2718023e-05 1.3626453e-06 1.3626453e-06 0.0 1.8168605e-06 2.2710756e-06 3.1795057e-06 4.5421513e-07 0.0 4.5421513e-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 0.0008543786 5.4505813e-06 6.3590114e-06 4.9963664e-06 2.7252906e-06 4.542151e-06 5.4505813e-06 3.633721e-06 6.8132267e-06 3.633721e-06 6.3590114e-06 5.9047966e-06 4.087936e-06 8.175872e-06 4.542151e-06 3.1795057e-06 0.0024863735 1.5443315e-05 2.7707121e-05 9.538518e-06 1.6351743e-05 1.5443315e-05 1.5897529e-05 9.538518e-06 6.449855e-05 4.9963664e-06 4.542151e-06 1.0901163e-05 3.5882993e-05 2.5890262e-05 3.2703487e-05 1.4989098e-05 0.0015629542 1.953125e-05 3.633721e-06 5.9047966e-06 4.8601018e-05 3.0432413e-05 5.4505814e-05 2.2256541e-05 3.134084e-05 6.3590114e-06 9.084302e-06 9.538518e-06 2.2710756e-05 6.3590114e-06 3.633721e-06 2.3619186e-05 0.009693405 0.00038017804 0.00014625727 0.00014671148 0.01060456 0.00013308504 0.0013903525 0.00013353924 8.312137e-05 7.8579214e-05 7.267442e-05 7.131177e-05 0.0068245823 0.00011491642 0.00058184954 0.00024255087 0.0034406795 7.085756e-05 3.1795058e-05 5.314317e-05 0.014809684 5.4505814e-05 0.0057444586 0.0003093205 7.3128635e-05 3.134084e-05 2.4527617e-05 2.6798692e-05 0.013875363 1.7260174e-05 0.00036746002 0.00013944405 0.019043423 0.00073809957 0.0013939862 0.000739008 0.0075912974 0.00038880814 0.005479651 0.0027461846 0.0002584484 0.00023528343 0.00016351744 0.00011945858 0.0058798147 0.00010492369 0.00077670784 0.000853016 0.021811863 0.0015461482 0.0016556141 0.0009465843 0.0027025798 0.0014394077 0.008128634 0.0043495637 0.00029841933 0.00088026887 0.00023119549 0.00021711482 0.00035474202 0.00030477834 0.00075399707 0.00089071586 0.019766988 0.0011087391 0.001934048 0.0013948947 0.002829306 0.0017410065 0.008472474 0.0046865917 0.00058548327 0.0010760357 0.00062363734 0.0003215843 0.00069903705 0.0006372638 0.00066542515 0.0008993459 0.013115007 0.0008571039 0.0019590298 0.0016865007 0.002586301 0.0018636446 0.0059220567 0.0036146438 0.00041878634 0.0012232013 0.0006645167 0.0002611737 0.00059456757 0.00036700582 0.0005627725 0.000582758 0.009388627 0.0010823946 0.0017537245 0.0106944945 0.0022070312 0.0026662427 0.0040547783 0.0021879543 0.0012241098 0.0015643169 0.0010628634 0.0009375 0.0012926962 0.00094885536 0.001053779 0.0016015625 0.020536428 0.002565407 0.0025867552 0.0045975656 0.0039643897 0.0047074854 0.0058893533 0.004144713 0.0072011263 0.0021588844 0.0021348111 0.001721021 0.0033439316 0.0020303417 0.0028383902 0.007718932 0.06101835 0.013227198 0.006905887 0.012250636 0.016778706 0.022977835 0.011836846 0.015950218 0.040391535 0.0078983465 0.005317496 0.0066606104 0.013974383 0.0066869548 0.013345295 0.03687273 0.04272211 0.01348383 0.009406795 0.017313318 0.01497638 0.0312768 0.024848292 0.028160883 0.038458396 0.019459939 0.0076635173 0.008395712 0.014642533 0.008891261 0.013789971 0.027440498 0.0005586846 0.00033521076 0.00032976017 0.0003574673 0.00030523256 0.00030704943 0.0004083394 0.00028479288 0.00029978197 0.00025163518 0.00020167152 0.00019667514 0.00022347383 0.0002071221 0.00018304869 0.00020121729 9018.0 16.82779 151753.0 0.019235205 0.0022273036 0.0025501966 0.0018055657 0.0026622207 0.0045270934 0.0017330794 0.0015946967 0.002813783 0.0022932002 0.0017067208 0.0016737725 0.0036045415 0.0020757415 0.0059899967 0.002392045 0.010365528 0.004955421 0.005528721 0.0050081383 0.0043689418 0.0038022313 0.0040855864 0.0061283796 0.004922473 0.0039933315 0.0041448935 0.0037758725 0.0054364656 0.0040987656 0.003729745 0.005113573 0.0031498554 0.006945497 0.0028599105 0.007294749 0.22692138 0.0063392487 0.010569807 0.00555508 0.004672066 0.006200866 0.0016408243 0.0022470725 0.006978445 0.0043162243 0.0060954313 0.005910921 0.00880378 0.005087214 0.0066489624 0.0107016 0.0074660797 0.004823628 0.0073935934 0.009054187 0.0057527693 0.004342583 0.0040131 0.0038747175 0.004962011 0.004078997 0.011749356 0.0087906 0.004151483 0.021291178 0.0075846934 0.013120004 0.019630583 0.042536225 0.033007585 0.013877815 0.010121711 0.021462508 0.005139931 0.005238776 0.04406503 0.010253504 0.019492202 0.021765633 0.010629115 0.004250328 0.024032474 0.016230322 0.030767102 0.011525308 0.012197453 0.00631289 0.009304593 0.0073013385 0.0038285898 0.003156445 0.0040328694 0.0035715932 0.0035056968 0.0030312415 5.4675026 1.0 24.0 8.0 13.0 1102269.0 20480.0 1.0 0.0 44.0 0.0 1.0 1.0 0.0 0.0 1161588600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 2560.0 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 2048.0 0.0 0.0 0.0 0.0 0.0 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 -2560.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9983516 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.35275948 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.101866 0.0 4.529418 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1642.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -900.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2214.0 0.0 2068.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 8812.0 2068.0 16384.0 0.0 0.0 5752.0 8704.0 0.0 0.0 28.0 8400.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 8520.0 0.0 0.0 184.0 8192.0 0.0 0.0 0.0 0.0