Input: 0.02389972 0.0047964044 0.004266878 0.004376355 0.0054804403 0.0038608045 0.0038829327 0.0038045133 0.0045130067 0.0036158403 0.0036647555 0.0037354107 0.004268431 0.0037381283 0.0036007 0.0052055833 0.0043581086 0.0037295877 0.0036220518 0.0036791195 0.0039042847 0.003861581 0.0036993069 0.0036756257 0.0038708982 0.0036100172 0.0035525614 0.0036321455 0.0037839378 0.003570031 0.0036045823 0.0035777953 0.0042230096 0.0036647555 0.0035871125 0.0036515563 0.004988183 0.0035335387 0.0035607137 0.003533927 0.0037493866 0.0036317573 0.003516069 0.0037924785 0.0036181698 0.0037874319 0.0036208872 0.0036208872 0.003930295 0.0036282632 0.0039532 0.004408577 0.0037726795 0.003881768 0.0036647555 0.0036954246 0.003780832 0.0038495462 0.003740846 0.004061124 0.0037796674 0.0037361872 0.0037781147 0.0038608045 0.0039345655 0.003995127 0.0038115012 0.0047521475 0.0043755784 0.0045064073 0.0038448877 0.0037711267 0.0037668564 0.0037315288 0.003607688 0.0036624263 0.0038398409 0.003852652 0.003719494 0.0036302044 0.004538629 0.0037777263 0.003652721 0.00399008 0.003719494 0.0039566937 0.0040673353 0.0039640698 0.003660097 0.0039004025 0.003566537 0.0037047418 0.003721435 0.003966399 0.0038895325 0.0038627456 0.0036822252 0.0038289707 0.0036736846 0.0037513277 0.0038452758 0.004108098 0.004342192 0.0036395215 0.0038747804 0.0037994664 0.0041904 0.0035902183 0.0039396123 0.0036620381 0.0037835496 0.0038134423 0.0037614212 0.0035968178 0.0039609643 0.0039466 0.0050370977 0.0046950798 0.0037769498 0.0036635909 0.0037288112 0.0036096289 0.0035673135 0.0036158403 0.0038033486 0.003759092 0.0037369637 0.0036270986 0.0038829327 0.0038227593 0.003620111 0.0050883424 0.003995904 0.0045467815 0.003670967 0.0035013168 0.003923307 0.004702456 0.0037377402 0.006708754 0.0036682496 0.0046407296 0.0036166168 0.0035913829 0.003615064 0.0034947172 0.0034714243 0.0035199511 0.0036628146 0.0036084643 0.0035420794 0.0035257745 0.0035649843 0.0035758542 0.003530433 0.003539362 0.0035560552 0.0036045823 0.0035568317 0.0036263224 0.0036515563 0.0036379688 0.00354635 0.0036360277 0.0036014766 0.0035013168 0.0036030293 0.0034885057 0.003593324 0.0035999236 0.0035552788 0.0035603256 0.0035246098 0.0034776356 0.0035766307 0.0035389736 0.0036170052 0.0035156808 0.003499764 0.0035568317 0.0035607137 0.003618946 0.0038223711 0.0037575392 0.003794808 0.0036321455 0.0035816776 0.003544797 0.0035673135 0.0035498438 0.0035902183 0.0036104054 0.004373249 0.004096451 0.0038712863 0.004074323 0.003808007 0.003613123 0.003827806 0.0038122775 0.0039035082 0.0038611926 0.0036162287 0.0036461214 0.0037792793 0.0035405266 0.0036434038 0.0036791195 0.0037521042 0.0035731366 0.0036026412 0.0036585443 0.0036049704 0.0035238334 0.0035149043 0.003545185 0.0037206586 0.0036461214 0.003553726 0.003721047 0.0036701907 0.0036612616 0.0036290397 0.0036212755 0.003746669 0.0035979825 0.003575466 0.0035273272 0.0036519445 0.0036267105 0.00370513 0.0035374209 0.005268086 0.0038468288 0.0035692547 0.004070053 0.003841782 0.0036344747 0.0035653724 0.0036740727 0.0038918618 0.003649227 0.003606135 0.0036837782 0.0037486102 0.0036538856 0.0038111128 0.003667085 0.0040747114 0.0037330815 0.0036154522 0.0036138995 0.0039551407 0.0037245408 0.003990857 0.009175865 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003274631 8.351668e-06 1.7480236e-06 2.5249228e-06 8.545893e-06 8.1574435e-06 3.884497e-06 4.0787218e-06 1.18477155e-05 2.7191477e-06 2.9133726e-06 1.1653491e-06 2.5249228e-06 1.7480236e-06 7.768994e-06 2.3306982e-06 0.00061336206 3.534892e-05 1.689756e-05 7.768994e-06 2.0587833e-05 1.5537988e-05 1.3207289e-05 9.905467e-06 8.934343e-06 3.3018223e-06 6.7978694e-06 4.6613964e-06 4.6613964e-06 8.1574435e-06 5.826745e-06 2.0587833e-05 0.001127281 1.9422485e-05 9.8471995e-05 0.00022646616 0.00014333794 2.9327952e-05 0.00016023549 8.7401175e-05 1.3595738e-06 6.9920943e-06 5.0498456e-06 3.3018223e-06 3.1075974e-06 6.02097e-06 2.1364733e-06 6.894982e-05 0.0033342578 0.000105269864 0.00024763666 0.00033270716 0.00040010316 0.00011070816 0.0003496047 0.00021694915 7.380544e-05 3.5154695e-05 3.729117e-05 2.1753181e-05 6.6424895e-05 2.8162602e-05 2.0782058e-05 0.00018820388 0.002622618 8.273978e-05 0.00017188898 9.711242e-05 0.00038553632 0.00023811965 0.00089848414 0.00048536787 6.6036446e-05 6.02097e-05 6.0403927e-05 3.7096943e-05 4.1564115e-05 4.1564115e-05 3.165865e-05 0.00024841356 0.0020020697 0.00011478688 0.00026492268 0.00019558442 0.00038980925 0.00020451876 0.0007392198 0.00043370406 8.409935e-05 7.943796e-05 5.535408e-05 7.458234e-05 9.3810595e-05 4.894466e-05 4.5837063e-05 0.00034436065 0.0024056688 0.0002618151 0.00027016675 0.001619641 0.00029056036 0.00027308014 0.00039777247 0.00030998283 0.0002134531 0.00021927984 0.0002618151 0.00020684945 0.00022782575 0.00018936922 0.00019752666 0.0006106429 0.0017627847 0.00018975767 0.0003033792 0.00035096428 0.00032649195 0.00022005674 0.0005640289 0.00037446548 0.0004558457 0.00023268136 0.00017188898 0.00019480752 0.0004230217 0.00017810418 0.0002126762 0.00119895 0.009445931 0.0013755003 0.0015060194 0.0013123773 0.002277092 0.0022166881 0.0011902099 0.0018795137 0.0056929244 0.0005162496 0.00042321594 0.0008017601 0.002408194 0.00072037993 0.0020902478 0.0035343093 0.0072317678 0.0017291837 0.0016219716 0.0014316313 0.0024868548 0.0028277196 0.0013028602 0.0019420541 0.0045881732 0.0004519612 0.0005599502 0.00066114136 0.0022720422 0.0008701273 0.0020459646 0.0037761193 0.055714365 0.05581983 0.05558307 0.05595035 0.056084365 0.055804294 0.05590723 0.056142244 0.055534516 0.055392537 0.055520725 0.055817693 0.05561609 0.055919275 0.055783898 0.055613175 12048.0 6.2828684 75696.0 0.015403721 0.0085869795 0.008917248 0.0086530335 0.012801205 0.008428451 0.008732297 0.0092343055 0.009273938 0.009221095 0.00895688 0.008375607 0.009207884 0.009630628 0.009683471 0.009115409 0.01109702 0.010066582 0.011532974 0.012457726 0.010859227 0.010898858 0.010159058 0.009789157 0.009921264 0.010476115 0.010542168 0.010964912 0.010515748 0.009115409 0.009604206 0.010542168 0.0098816315 0.010449694 0.008679454 0.010476115 0.013012577 0.009181462 0.009498521 0.010713908 0.009353202 0.0105950115 0.008679454 0.008639823 0.009472099 0.008785141 0.00985521 0.009155042 0.012695519 0.00895688 0.009273938 0.011519764 0.0107403295 0.00912862 0.010898858 0.011400866 0.009749524 0.00895688 0.009207884 0.00877193 0.0095909955 0.008679454 0.008639823 0.010423272 0.00985521 0.014069435 0.009868421 0.012748362 0.012404882 0.019684 0.011797189 0.009974107 0.009683471 0.014003382 0.010344008 0.009273938 0.013488163 0.010674276 0.013395688 0.013937328 0.010172268 0.008084971 0.014082646 0.01289368 0.018151553 0.012008561 0.009604206 0.009551363 0.010449694 0.009749524 0.008560558 0.008917248 0.008811562 0.00860019 0.008639823 0.008692665 6.560738 0.0 1.0 0.0 45.0 2575888.0 446464.0 1.0 0.0 149.0 1.0 1.0 0.0 0.0 0.0 1529852700.0 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 14.0 0.0 5.0 1.0 5.0 1.0 190464.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -190976.0 0.0 57856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.695932 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1652994 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2392776 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.450697 0.0 6.79119 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 39564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -132000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -190668.0 0.0 57440.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 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 -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 0.0 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 -1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 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 -1.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 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 1.0 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 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 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52.0 232624.0 60.0 232676.0 57440.0 376832.0 0.0 0.0 0.0 0.0 8144.0 438272.0 84.0 224960.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 203016.0 0.0 0.0 604.0 196608.0 288.0 229940.0 0.0 0.0


Input: 0.14187746 0.008596457 0.0041694427 0.003410349 0.0062163947 0.003932922 0.0020209474 0.0019528395 0.007852223 0.0015045657 0.0016952679 0.0014996124 0.0045558 0.0013671116 0.0012259424 0.003874721 0.006139619 0.0014996124 0.001182601 0.0008928328 0.0024617915 0.0019751294 0.0007652853 0.0008234866 0.0022995707 0.000752902 0.0008284399 0.00070956064 0.0016123 0.0006030646 0.000593158 0.00056467653 0.0038771976 0.00058572803 0.0006513593 0.00054238667 0.0041508675 0.0013163402 0.00046437213 0.00056096155 0.001182601 0.00065259764 0.0005832514 0.00094236585 0.0011045865 0.0023404355 0.0006761258 0.0005176201 0.006034361 0.0027961393 0.003612196 0.010229808 0.00375708 0.0020481907 0.0032146934 0.0017274644 0.0042784153 0.0020791488 0.00071451394 0.0014822759 0.0016667864 0.0009758006 0.00046561044 0.0005287651 0.011775239 0.0039292076 0.0049025314 0.008829262 0.0038697678 0.032567967 0.0032691797 0.0027094565 0.003384344 0.0035490415 0.0021893599 0.0023552955 0.002710695 0.004388626 0.0011603112 0.0015318089 0.009062068 0.00214478 0.002056859 0.0097592445 0.003206025 0.013842004 0.0032233617 0.0020964853 0.0019268348 0.0065160696 0.0027428914 0.0032605114 0.001566482 0.004638768 0.0023788237 0.0036060044 0.0057668826 0.004482739 0.0018550119 0.0033434792 0.009391462 0.0062077264 0.004102573 0.0016209683 0.008024351 0.00432671 0.0038227113 0.0014513177 0.0036221026 0.0018389137 0.004528557 0.004111241 0.003371961 0.0017633758 0.004985499 0.0039230157 0.010341258 0.0056257136 0.0018872083 0.0011751711 0.00297322 0.0012643306 0.0005312417 0.00059068133 0.0016544032 0.0025199929 0.0010637217 0.00087549625 0.005248024 0.0011590729 0.0010897266 0.009070735 0.0031242957 0.0032295533 0.0010352402 0.00061916286 0.0026648769 0.015201686 0.002235178 0.05177192 0.0011974609 0.011009954 0.0008581597 0.0006810791 0.0026586852 0.00044455891 0.0007281355 0.000646406 0.0011243997 0.00093741255 0.001513234 0.00056839146 0.0011751711 0.000589443 0.00050028355 0.00071327557 0.00095722574 0.00047675538 0.00046561044 0.0004197924 0.0008977861 0.0033323343 0.00046684878 0.0025534276 0.0014253128 0.0008185333 0.00056467653 0.0004532272 0.0010476236 0.0004581805 0.0005101902 0.0004879003 0.0008482531 0.00045075055 0.0007429954 0.00065878924 0.0013262468 0.0006860324 0.0017324176 0.00053743337 0.00087921123 0.0006711725 0.00071327557 0.0015813418 0.0031540156 0.0025373292 0.0046561044 0.0008247249 0.0010018055 0.00048047036 0.00085444475 0.00071575225 0.012010521 0.0011504046 0.0022896642 0.010361071 0.0043626213 0.0010600068 0.0035614246 0.003371961 0.0018723485 0.0017670908 0.000984469 0.001303957 0.001684123 0.0008940711 0.0009931372 0.00094360416 0.002877869 0.0011516429 0.0029781733 0.0013547282 0.0018153854 0.00076900027 0.0016061084 0.00087673456 0.003371961 0.0006550743 0.00108725 0.0017893806 0.001498374 0.00071946724 0.00056343817 0.0008432998 0.0024419783 0.00065878924 0.00087921123 0.0009918988 0.0024357866 0.0024345482 0.00055105495 0.0006947007 0.027641905 0.0060331225 0.0010946799 0.0059068133 0.0065408363 0.0010439085 0.0006810791 0.0007553787 0.007251635 0.0009782773 0.0018191005 0.000920076 0.00914875 0.0021732615 0.0041013346 0.002596769 0.0100799715 0.003057426 0.0030772393 0.0036171493 0.014906964 0.00400103 0.0043068966 0.06901808 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009784237 0.0 0.0 0.00018240749 0.00010981675 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002671587 0.0 0.0 0.0007606516 0.00037970537 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009549714 0.0 0.0 0.004124643 0.0028440678 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027838857 0.0 0.0 0.0021212625 0.001448092 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005515655 3.7226016e-06 1.7992576e-05 6.700683e-05 0.00014890407 7.56929e-05 6.204336e-06 7.445203e-06 1.5510841e-05 0.0 0.0 1.8613008e-06 8.065637e-06 3.102168e-06 4.9634687e-06 0.00035861062 0.006099483 0.00020598396 0.00021342916 0.00055094506 0.001911556 0.00048828125 0.002448231 0.0010652845 0.00019481615 0.000100510246 9.244461e-05 7.5072465e-05 0.0006719296 0.0003803258 0.0004008001 0.0028899799 0.013328775 0.00064152834 0.0009461613 0.002082175 0.004130847 0.0036103032 0.006969331 0.003210744 0.0004541574 0.00023576478 0.00031083723 0.0003306911 0.002083416 0.0011049922 0.0011223644 0.008993185 0.020780183 0.001303531 0.0012340425 0.002079073 0.0073198755 0.0025623909 0.0066944784 0.003257897 0.0023930124 0.0009753216 0.0009771829 0.001336414 0.0040601175 0.0026511129 0.0026753098 0.009585699 0.020234821 0.0015628722 0.001252035 0.0022689258 0.009433073 0.004046468 0.005889156 0.003409903 0.0058153244 0.0014145887 0.001780024 0.0023067722 0.0038653014 0.0017738197 0.004047709 0.0096793845 0.07409777 0.009828289 0.007288854 0.010092594 0.04211007 0.030638253 0.021328647 0.013968443 0.051533215 0.005297262 0.0060622566 0.009153257 0.016806927 0.0070816292 0.0274728 0.06114063 0.06032786 0.010141607 0.00912906 0.011685247 0.028152796 0.030641975 0.017691664 0.014627343 0.04987852 0.005892258 0.006490356 0.009161322 0.021123903 0.010950653 0.02511267 0.048586156 0.00023390347 4.777339e-05 8.6240274e-05 5.2116422e-05 9.058331e-05 9.9269375e-05 4.343035e-05 6.576596e-05 0.00013463409 2.916038e-05 3.3503416e-05 2.916038e-05 8.437897e-05 6.018206e-05 7.3211166e-05 0.000107335014 5347.0 16.358706 87470.0 0.005350406 0.0001257574 0.0005487596 9.145993e-05 0.0032925576 0.00056019204 0.0001257574 0.00017148737 0.0003887047 0.00040013719 0.0007202469 0.00057162455 0.0004915971 0.014004801 0.0011089516 0.00045729964 0.02776952 0.017331656 0.028672688 0.012964445 0.02455699 0.014896536 0.025860295 0.0118097635 0.027929576 0.014679318 0.0008117069 0.0005030296 0.0009374643 0.0005258946 0.00011432491 0.0001371899 0.0013376015 0.008380016 0.0072710644 0.014256316 0.007008117 0.015845433 0.0046415916 0.0030181776 0.0048359437 0.017285926 0.0024122556 0.0039213444 0.0066994396 0.0065508173 0.004355779 0.009054533 0.0126786325 0.0025723106 0.0058763004 0.020109752 0.012838688 0.00615068 0.0057962732 0.0034297474 0.0027323654 0.0052589457 0.0014976563 0.0029381502 0.0011432491 0.0027437978 0.0028581228 0.02180176 0.0002515148 0.030604778 0.013513205 0.026912084 0.026466217 0.052280784 0.0124728475 0.01046073 0.019675318 0.034617584 0.008254259 0.0071338746 0.024339773 0.01234709 0.03772722 0.033885904 0.020018293 0.0030982052 0.038401738 0.02836401 0.041499943 0.011261004 0.011146679 0.0061621126 0.0146221565 0.0065622497 0.0010289242 0.00028581228 0.0005373271 0.0002515148 0.00029724478 0.00030867726 5.766518 0.0 2.0 14.0 4.0 807542.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5849304 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.32350418 0.030011432 0.018721418 0.010337272 0.018673781 0.004334985 0.015577363 0.0037157012 0.0089557925 0.0030011432 0.0078125 0.003953887 0.002667683 0.0020483993 0.0016196646 0.0015720275 0.0034775152 0.0074790395 0.0040015243 0.0032393292 0.005859375 0.003668064 0.0025724086 0.0028582318 0.0046684453 0.001714939 0.0021436738 0.0016673019 0.0015243902 0.003953887 0.0018578506 0.00066692074 0.008860518 0.0008574695 0.0008098323 0.0021436738 0.0014291159 0.0014291159 0.0011432926 0.002429497 0.006859756 0.0018102134 0.0089557925 0.0013338415 0.0015720275 0.0011909299 0.0037633383 0.00042873475 0.0030011432 0.0009527439 0.0009051067 0.00066692074 0.0011432926 0.0010480183 0.00052400917 0.0008574695 0.00052400917 0.0006192835 0.00042873475 0.00047637196 0.00066692074 0.00066692074 0.00038109755 0.0006192835 0.0005716463 0.0041444357 0.001953125 0.004334985 0.0032393292 0.0021436738 0.0045731706 0.0018102134 0.0013814786 0.0046208077 0.0010480183 0.0032869664 0.0026200458 0.0020483993 0.0012862043 0.0020960367 0.002477134 0.00033346037 0.0041920734 0.006335747 0.003191692 0.0011432926 0.0042873477 0.0005716463 0.0025724086 0.00038109755 0.0011909299 0.00052400917 0.00066692074 9.527439e-05 0.00033346037 0.0062404727 0.00071455794 0.019293064 0.0051924544 0.011909299 0.010956555 0.045874618 0.0038586129 0.0071455794 0.0041444357 0.01848323 0.0008574695 0.0022865853 0.010337272 0.0078125 0.020436356 0.018245045 0.007288491 0.0015720275 0.024247332 0.017435214 0.02767721 0.009479802 0.001714939 0.0010956555 0.0028105946 0.005811738 0.0009527439 0.0032869664 0.0008574695 0.0016196646 0.003144055 0.0006192835 0.009241615 0.0009527439 9.527439e-05 0.0005716463 0.00038109755 0.00023818598 0.0025247713 0.00019054877 0.0009051067 0.0009051067 0.00071455794 0.00019054877 0.0008098323 0.0008574695 0.00052400917 0.00066692074 0.00052400917 0.0010480183 0.00042873475 0.00014291158 0.0017625762 9.527439e-05 0.003429878 0.00042873475 0.00071455794 0.00028582316 0.00023818598 0.0006192835 0.00019054877 0.00038109755 0.00023818598 4.7637193e-05 0.00052400917 0.00047637196 0.00023818598 0.00019054877 0.00028582316 0.00014291158 0.00014291158 0.00019054877 0.0 0.00028582316 0.00023818598 0.00023818598 0.00038109755 0.0 0.00023818598 0.00014291158 0.00028582316 0.00019054877 9.527439e-05 0.00014291158 0.00023818598 0.00014291158 0.00047637196 0.00023818598 0.00042873475 0.00038109755 4.7637193e-05 0.00023818598 0.00019054877 0.00066692074 9.527439e-05 0.00019054877 0.00023818598 9.527439e-05 0.0005716463 9.527439e-05 0.00066692074 0.00023818598 0.0012862043 4.7637193e-05 0.00028582316 0.00047637196 0.00014291158 0.0006192835 0.00014291158 9.527439e-05 0.00014291158 0.00014291158 0.0008574695 0.00023818598 0.00042873475 9.527439e-05 0.00028582316 0.00038109755 9.527439e-05 0.00028582316 0.00019054877 0.00028582316 0.00023818598 0.00014291158 0.00042873475 4.7637193e-05 0.0009527439 0.00014291158 0.00033346037 4.7637193e-05 0.00023818598 0.00042873475 9.527439e-05 0.0006192835 0.001476753 0.0005716463 0.00028582316 0.00047637196 9.527439e-05 0.00052400917 0.00033346037 0.00014291158 0.00014291158 0.0015243902 0.00033346037 0.0007621951 0.00014291158 0.00038109755 9.527439e-05 9.527439e-05 0.00028582316 0.00038109755 0.00014291158 0.00028582316 0.00014291158 0.00014291158 0.00023818598 0.00019054877 0.0008574695 0.00047637196 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03777755 0.00028268914 0.00089946546 0.0013620477 0.0013620477 0.0011307566 0.00624486 0.0030324836 0.00010279605 0.0 0.00010279605 7.709704e-05 5.1398027e-05 5.1398027e-05 5.1398027e-05 0.00010279605 0.05049856 0.0042146384 0.0044973274 0.0010793585 0.027292352 0.019042969 0.13623047 0.071134865 0.0003854852 0.00033408718 0.00017989309 0.00010279605 0.00015419407 0.00033408718 5.1398027e-05 0.00025699014 0.09238795 0.015316612 0.013517681 0.0035464638 0.0014905428 0.0028011925 0.007144326 0.0129780015 0.005319696 0.0010536596 0.00053967925 0.00028268914 0.0002055921 0.00035978618 0.00028268914 0.00066817435 0.20088919 0.028603002 0.023565995 0.0062962584 0.008609169 0.0090717515 0.03101871 0.018914474 0.011795847 0.0082236845 0.0023643093 0.0028011925 0.004291735 0.0035464638 0.0052169 0.0032123767 0.04733758 0.0052939965 0.0042146384 0.0011307566 0.003983347 0.004548725 0.017423932 0.0096371295 0.0034179688 0.0016447369 0.00071957236 0.00095086347 0.00084806746 0.0009765625 0.0022358142 0.00089946546 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 351.0 17.948717 6300.0 0.002063492 0.00015873015 0.0 0.00047619047 0.00015873015 0.0 0.0 0.0 0.0 0.0 0.0 0.00015873015 0.0006349206 0.0006349206 0.0053968253 0.0 0.0017460317 0.0011111111 0.0012698412 0.00015873015 0.00095238094 0.0007936508 0.0003174603 0.0012698412 0.0006349206 0.0006349206 0.00015873015 0.0 0.00015873015 0.00047619047 0.00015873015 0.0 0.00015873015 0.01015873 0.004920635 0.013015873 0.008253968 0.0055555557 0.012698413 0.004761905 0.0015873016 0.013174603 0.00095238094 0.009206349 0.0063492064 0.0034920634 0.0025396824 0.0052380953 0.0057142857 0.0003174603 0.012539683 0.018571429 0.0076190475 0.0019047619 0.0022222223 0.0007936508 0.0003174603 0.0 0.0003174603 0.0 0.00095238094 0.0 0.0 0.018730158 0.0006349206 0.054920636 0.014444444 0.033968255 0.03126984 0.1373016 0.010952381 0.017777778 0.0107936505 0.054126985 0.0011111111 0.006666667 0.028412698 0.022063492 0.058571428 0.04984127 0.018095238 0.00015873015 0.07095238 0.045873016 0.082539685 0.028095238 0.0046031745 0.0014285714 0.006031746 0.016825397 0.00095238094 0.0 0.0 0.0 0.0 0.0 4.868864 0.0 0.0 0.0 1.0 20992.0 49152.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1431534700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 18944.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.646643 0.0 3.1011345 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18468.0 0.0 808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 26568.0 808.0 32768.0 0.0 0.0 0.0 0.0 12.0 40960.0 28.0 26256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.72365534 0.0032726151 0.0015896647 0.0020465744 0.0024901575 0.0010832566 0.0011175248 0.0010680262 0.0022540875 0.0011041983 0.0011651195 0.0007329592 0.0016734315 0.00093095336 0.00069869094 0.0014278425 0.0020294401 0.00087574346 0.00058446353 0.00075770845 0.0011651195 0.0011213324 0.0006282507 0.000580656 0.0013669212 0.00069869094 0.0009214344 0.0006815568 0.00091762684 0.0005958863 0.0010032974 0.0007805539 0.0030689095 0.00066251896 0.0008319563 0.000843379 0.0018600029 0.00084909034 0.0008053032 0.00065871136 0.0007424781 0.00048737027 0.00050640816 0.00069488335 0.00070249854 0.00070440234 0.0010375656 0.000616828 0.0010965831 0.00087003206 0.0009043003 0.0016087026 0.0010604111 0.0017952741 0.00075580465 0.0007500933 0.000843379 0.0008776472 0.0007919767 0.0013364606 0.000997586 0.0010889679 0.00079768803 0.0010965831 0.0013764402 0.0011289475 0.0009404723 0.0035619913 0.0013440758 0.0016467784 0.0009385685 0.0010394694 0.0011822536 0.000879551 0.0006244431 0.00060350145 0.00085860933 0.0010585072 0.00079388043 0.00071582507 0.002168417 0.0011003907 0.0015553965 0.0013992857 0.001260309 0.0011708309 0.0021627054 0.0012374636 0.0010680262 0.0016486822 0.000580656 0.0014792449 0.0007862653 0.0014392653 0.0009328571 0.0010223353 0.000879551 0.0020065948 0.00065871136 0.0013040962 0.0013212303 0.0029603934 0.0009861633 0.0009043003 0.0014716297 0.0021189183 0.0013802478 0.00075961225 0.001532551 0.0009385685 0.001623933 0.0017743324 0.001106102 0.00059969386 0.0024063906 0.001814312 0.0033297287 0.0036381427 0.0010223353 0.0016353556 0.0011498892 0.000879551 0.0006130204 0.0008357638 0.0012222332 0.00091381924 0.0006910758 0.0008357638 0.0016163178 0.000843379 0.000580656 0.0024082945 0.0011003907 0.0016125102 0.0005178309 0.00049688923 0.0010394694 0.0020084984 0.0010661224 0.0052297115 0.0010566035 0.0016658163 0.00049308164 0.00065299997 0.0007329592 0.0005368688 0.00049308164 0.00064728863 0.0008053032 0.0006758455 0.0007405743 0.00051021576 0.0005368688 0.0005730408 0.0015972799 0.0005768484 0.00080911076 0.00054067635 0.00049117784 0.000616828 0.00070440234 0.00081672595 0.00049688923 0.000725344 0.0008814548 0.0007329592 0.0007881691 0.0005559067 0.0007900729 0.00043025656 0.00046452478 0.0005197347 0.00077484257 0.000498793 0.0004740437 0.00050450437 0.0006282507 0.00050831196 0.0005768484 0.00060159765 0.000580656 0.00054829154 0.0005597143 0.0009576064 0.00071772886 0.0005254461 0.0008871662 0.0006720379 0.00079768803 0.0005216385 0.0005330612 0.0008985889 0.0017914665 0.0010870642 0.000689172 0.0013726327 0.0010775452 0.0005787522 0.0008471866 0.00096902915 0.0008624169 0.0014259388 0.00047023615 0.0005330612 0.0016524898 0.0009937785 0.0005197347 0.00048927404 0.0010585072 0.0016010874 0.0006130204 0.00069678714 0.0006491924 0.0005292536 0.00086812826 0.0005692332 0.00085289794 0.0005901749 0.0004740437 0.00060540525 0.0006510962 0.00054448395 0.0005692332 0.0005597143 0.0010585072 0.00060921285 0.0005749446 0.0012945773 0.0010394694 0.0009823557 0.00056732947 0.00060159765 0.002756688 0.0008852624 0.0005368688 0.0011251399 0.0016106064 0.000580656 0.00055400294 0.00060350145 0.0010946792 0.000571137 0.00047023615 0.0008300525 0.0014925714 0.00054448395 0.0016562974 0.0007462857 0.0013383644 0.0012793469 0.000580656 0.0006320583 0.0013612099 0.000689172 0.0012641166 0.011548391 0.6164383 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018766817 9.555406e-06 9.555406e-06 1.9110812e-06 1.0510947e-05 9.555406e-07 1.4333109e-05 1.1466487e-05 1.9110812e-06 1.9110812e-06 1.9110812e-06 1.9110812e-06 5.7332436e-06 2.8666218e-06 2.8666218e-06 2.8666218e-06 0.0036224544 3.8221624e-05 2.0066353e-05 1.719973e-05 4.0132705e-05 1.4333109e-05 3.5355002e-05 1.8155271e-05 5.5421355e-05 6.688784e-06 2.8666218e-06 7.644325e-06 7.644325e-06 2.8666218e-06 4.777703e-06 2.0066353e-05 0.006908559 8.886528e-05 6.5932305e-05 5.2554733e-05 0.00014428663 3.439946e-05 0.00010606501 9.459852e-05 0.00011657595 3.153284e-05 1.9110812e-05 2.8666218e-05 2.3888515e-05 1.9110812e-05 2.7710677e-05 6.5932305e-05 0.0016463965 2.7710677e-05 1.719973e-05 4.3954868e-05 2.4844056e-05 1.8155271e-05 3.439946e-05 1.0510947e-05 7.644325e-06 5.7332436e-06 1.1466487e-05 1.2422028e-05 9.555406e-06 8.599865e-06 7.166555e-05 6.688784e-06 0.0015852419 1.3377568e-05 4.777703e-06 2.1021893e-05 3.248838e-05 6.688784e-05 2.1977434e-05 1.528865e-05 7.930987e-05 1.9110812e-05 5.7332436e-06 3.8221624e-06 1.8155271e-05 1.2422028e-05 1.1466487e-05 4.586595e-05 0.005909063 0.00016435298 0.00015193096 5.1599192e-05 0.00032392825 0.00019588582 0.00029048434 0.00016817515 9.077636e-05 5.9243517e-05 8.026541e-05 4.873257e-05 4.873257e-05 7.2621086e-05 3.7266083e-05 0.00013473122 0.016846182 0.0005150364 0.0013798006 0.0006927669 0.00045483734 0.00031150624 0.0025694487 0.001470577 0.0003975049 6.5932305e-05 8.217649e-05 0.000113709335 0.0002331519 4.968811e-05 0.00034399462 0.0038278957 0.0065693418 0.00013377568 0.0004280822 0.000176775 0.0006449899 0.00042521558 0.0008284537 0.00069085584 0.00035832773 2.3888515e-05 3.439946e-05 0.00012135366 7.453217e-05 5.2554733e-05 0.00022646312 0.00095267396 0.0036845645 8.1220955e-05 0.00058001315 0.0006172792 0.0007271664 0.00039846043 0.0022913865 0.0011284935 2.9621759e-05 3.248838e-05 3.9177165e-05 3.9177165e-05 3.9177165e-05 3.248838e-05 3.5355002e-05 2.8666218e-05 0.0051159644 0.00013568677 0.00082463154 0.00022455204 0.0009918512 0.00061059045 0.0029115323 0.0015737754 0.00017008623 9.077636e-05 0.00010033177 0.00013759785 0.00011657595 0.000111798254 0.00021595218 0.0003669276 0.045606997 0.002797823 0.0026898468 0.0050328323 0.002884777 0.0029698203 0.003202972 0.0033979025 0.002843689 0.0024891833 0.0025493824 0.0027672455 0.002423251 0.0025111607 0.0029124878 0.0029401984 0.003916761 0.00032870597 0.0005265029 0.00029335095 0.00045005963 0.0004328599 0.0005933907 0.0005742799 0.00064976764 0.0002073523 0.00017773056 0.00021499663 0.0003669276 0.00021595218 0.00027615123 0.0005599468 0.0085683325 0.001528865 0.0014600661 0.0013587788 0.0029344652 0.0038059182 0.001765839 0.0029440206 0.0048866346 0.0013377569 0.0005121698 0.0005809687 0.0029440206 0.0011237158 0.0016148636 0.003729475 0.012041722 0.0028876436 0.002071612 0.002580915 0.0038785394 0.005520158 0.0021470997 0.0047270595 0.0072601973 0.0016091304 0.001268958 0.0012594025 0.0042483336 0.0018298603 0.0036243654 0.0076242583 0.0060437946 0.0059233964 0.004810191 0.0055086915 0.0051446306 0.006227258 0.005794398 0.0058641527 0.0054714256 0.0048914123 0.005274584 0.0051694745 0.0047910805 0.005351983 0.0059644845 0.0058316644 813.0 13.575645 11037.0 0.03995651 0.0017214823 0.0045302166 0.0017214823 0.0058892816 0.001359065 0.001630878 0.0052550514 0.002989943 0.0011778563 0.0020838997 0.001902691 0.0031711515 0.0052550514 0.007701368 0.0039865905 0.010963124 0.008516807 0.010328894 0.0089698285 0.007882576 0.007701368 0.007429555 0.0047114254 0.006885929 0.0067047207 0.0067047207 0.005708073 0.006885929 0.008063786 0.006523512 0.005979886 0.0040771947 0.0155839445 0.0039865905 0.009694664 0.017124219 0.005708073 0.007157742 0.012775211 0.0050738426 0.011597354 0.001902691 0.003533569 0.005979886 0.0061610946 0.009332246 0.0042584036 0.01694301 0.0036241733 0.008426202 0.01359065 0.007973181 0.0038959861 0.009332246 0.010057081 0.0092416415 0.0023557127 0.0017214823 0.002989943 0.0041677994 0.0030805473 0.00271813 0.0058892816 0.00607049 0.034792062 0.00607049 0.027271904 0.019117514 0.07375193 0.008426202 0.010510103 0.01087252 0.034429647 0.0042584036 0.003261756 0.03053366 0.013318837 0.032617558 0.03850684 0.0150403185 0.002989943 0.04330887 0.027362509 0.0544532 0.018030262 0.009332246 0.0043490077 0.0075201592 0.0097852675 0.0031711515 0.0018120867 0.0023557127 0.001902691 0.0017214823 0.0028087343 5.924358 0.0 1.0 0.0 5.0 525268.0 540672.0 0.0 0.0 122.0 1.0 1.0 0.0 0.0 0.0 963899400.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 2048.0 1024.0 4096.0 6.0 0.0 0.0 3.0 6.0 0.0 0.0 0.0 0.0 0.0 -153088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -89088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -265728.0 0.0 13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.909226 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.073034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.759129 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2516437 0.0 5.898484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -152809.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -88632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -268288.0 0.0 13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 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 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 226396.0 13312.0 102400.0 0.0 0.0 0.0 0.0 3264.0 262144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 8192.0 0.0 0.0 316.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.3497115 0.013213488 0.009085519 0.006972955 0.019239776 0.003303372 0.007800044 0.004272461 0.04653121 0.0014972298 0.0059042173 0.007087552 0.008781589 0.0047433036 0.0012281769 0.018494898 0.006833446 0.002137476 0.0032211614 0.004302356 0.005415936 0.0010288784 0.0016143176 0.0014299665 0.0030766702 0.0022819676 0.0019805285 0.005936603 0.0061433753 0.0007249482 0.0030143894 0.00069007097 0.0061583226 0.0015844228 0.0009765625 0.0033432317 0.0048255143 0.0022072305 0.0012431243 0.0013103874 0.005321269 0.0012680365 0.0011908084 0.0032958984 0.005415936 0.001068738 0.0013801419 0.0023691605 0.0031738281 0.0020203881 0.0027254065 0.0025011958 0.0037268815 0.0015570193 0.0014274752 0.00058294804 0.002600845 0.00058543927 0.0016591598 0.0003313337 0.0056077605 0.0017463529 0.00063526386 0.00072993065 0.01422991 0.007227061 0.0044244262 0.0045788824 0.0065320074 0.0010238959 0.0028723893 0.0025111607 0.0037418287 0.0019929847 0.0006302814 0.0007697903 0.0029595823 0.0017139668 0.0020353356 0.0009765625 0.002588389 0.0005156848 0.0017936862 0.0019506337 0.0035524953 0.0009989836 0.00060038664 0.00078972016 0.0057074097 0.0013502472 0.0009890187 0.0013726682 0.00228695 0.0015071947 0.001111089 0.0017388791 0.0035898637 0.0023890904 0.0012879664 0.0012281769 0.004252531 0.0035275829 0.0029072664 0.0005978954 0.005523059 0.0018509845 0.0016840721 0.0050123567 0.012889628 0.0011932995 0.0025310905 0.0022421079 0.009807976 0.00096410635 0.0025161433 0.0015121772 0.008231027 0.0011036153 0.0015171596 0.00058543927 0.0073989555 0.0004832988 0.0037667411 0.00015943877 0.0007249482 0.00013203523 0.00013452646 0.0016790896 0.0030990911 0.00015445631 0.00039361446 0.00016691246 0.0008295799 0.00021673708 0.00027652664 0.0002017897 0.0015819316 0.0038489518 0.002361687 0.0008046676 0.0008794045 0.00030393017 0.0038240394 0.00050571986 0.0015794403 0.0018011599 0.0007174745 0.0007971939 0.0007423868 0.00016442123 0.00016691246 7.22457e-05 0.00086943957 0.00022421077 0.0002989477 0.00018435108 0.0010512994 0.00017936862 0.00014947385 0.00017189494 0.0007872289 0.0005555445 0.00033382492 0.00013701769 0.0009367028 0.00017936862 0.00010214047 0.00013701769 0.00076480786 0.00035624602 0.000388632 0.00022421077 0.0007349131 0.000518176 0.00025410554 0.00023666694 0.0014050542 0.00015445631 0.00011708785 0.00022421077 0.0008893694 8.719308e-05 0.00013701769 0.00048080756 0.0017513353 0.000777264 0.0015196508 8.470185e-05 0.00058543927 8.968431e-05 9.7158e-05 0.00014200016 0.0021748445 0.00031389509 0.00019182477 0.0013950893 0.0013303172 0.0005904217 0.0007747728 0.0004185268 0.00078972016 0.0001046317 0.00010712293 0.00040607064 0.0009043168 0.00010712293 0.00014947385 0.0002815091 0.0014324577 0.0002516143 0.00012705277 0.00021424585 0.0010712292 0.0002341757 0.000194316 0.00019680723 0.00066764985 0.00013203523 0.00043347417 0.00017189494 0.0006751236 0.00017189494 0.00010214047 0.0002017897 0.0015246333 0.00077975524 0.00012207031 0.0001046317 0.0014922473 0.00015694754 0.00031638631 0.0012281769 0.0008370536 0.00010214047 0.00019182477 0.0010512994 0.0009940012 0.00023915817 0.0007523517 0.0007249482 0.0011185626 0.00016193 0.00044593032 0.00066017616 0.012862225 0.0070750955 0.0007573342 0.00044593032 0.0017538265 0.00048080756 0.0004434391 0.002665617 0.004773198 0.0050646723 0.0102389585 0.067542255 0.025526745 0.0 0.0 0.0 4.9952046e-06 3.7464035e-06 2.9971228e-05 9.990409e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004777913 1.4985614e-05 7.492807e-06 1.4985614e-05 9.990409e-06 3.7464035e-06 4.7454443e-05 1.3736812e-05 7.492807e-06 0.0 1.2488011e-06 0.0 7.492807e-06 1.2488011e-06 3.7464035e-06 0.00020355459 0.0023464973 2.4976023e-05 3.1220028e-05 4.9952046e-06 2.122962e-05 1.6234415e-05 4.620564e-05 2.8722427e-05 1.123921e-05 1.2488011e-06 2.4976023e-06 6.244006e-06 8.741608e-06 1.2488011e-06 2.4976023e-06 3.7464035e-06 0.021923954 0.0012138347 0.00026224824 2.122962e-05 0.0013249781 1.7483217e-05 2.3727222e-05 2.6224825e-05 0.00026974105 0.00025350665 2.122962e-05 2.3727222e-05 2.247842e-05 0.00012987532 1.8732017e-05 2.247842e-05 0.0040561063 1.9980818e-05 2.3727222e-05 4.495684e-05 6.8684065e-05 3.1220028e-05 9.3660085e-05 6.743526e-05 7.243047e-05 2.4976023e-06 1.123921e-05 1.123921e-05 4.370804e-05 0.0 1.9980818e-05 0.00054822373 0.010256404 0.00035465954 0.0002210378 0.00016109535 0.000420846 0.00014610974 0.0002085498 0.00014860733 0.00017857857 8.491848e-05 4.370804e-05 5.7444853e-05 2.122962e-05 3.1220028e-05 3.371763e-05 0.0004195972 0.024743745 0.0013874181 0.0008579264 0.00049327646 0.0016459199 0.0002110474 0.00079423754 0.00046580282 0.00025725304 0.00013861693 9.116248e-05 0.0001024017 0.00014361214 0.00013986573 6.618646e-05 0.0017096088 0.01842606 0.001142653 0.001092701 0.0004907788 0.0016171975 0.0007305487 0.0010889546 0.0008816536 0.00039711877 7.867447e-05 9.865529e-05 0.0001036505 0.0003459179 0.00029596587 9.116248e-05 0.0012512987 0.051997583 0.002751109 0.0041709957 0.0027386209 0.0057494803 0.0028897258 0.0028023098 0.0040735896 0.002154182 0.0002110474 0.0002210378 0.00027348744 0.00059318054 0.00027973147 0.00035341072 0.008254576 0.05877233 0.0045206603 0.0047766645 0.0025050952 0.0075977063 0.00414602 0.0049977023 0.0043807942 0.0018582161 0.0014261309 0.0006268982 0.00081671594 0.00080048153 0.0007842471 0.0013324708 0.008074748 0.13017504 0.0156037705 0.012316925 0.010787144 0.013464574 0.008104719 0.01688504 0.013800502 0.005924313 0.0026449608 0.001965613 0.0022590812 0.0026099945 0.0016196951 0.0029808884 0.042745214 0.13165736 0.01879071 0.01648917 0.01205218 0.016856318 0.010700977 0.021715403 0.014277544 0.0073941518 0.003574069 0.002637468 0.0026362191 0.0040586037 0.0021441916 0.0041235415 0.048027642 0.022159977 0.0041098045 0.0027873241 0.0023727221 0.009565817 0.001909417 0.0040623504 0.0026174872 0.00096282567 0.00077675434 0.00094034726 0.0022678229 0.0014011549 0.0008654192 0.0016159487 0.0055234474 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1077.0 10.379759 11179.0 0.025852043 0.0002683603 0.00017890688 0.0011628948 0.0002683603 0.00017890688 0.0016996154 0.0037570444 0.007782449 0.00017890688 0.0 0.0 0.0002683603 0.00035781375 0.0039359513 0.0008945344 0.009839878 0.017264513 0.01717506 0.0055461135 0.009929332 0.004293765 0.0050093927 0.003488684 0.003667591 0.0027730567 0.0005367206 0.00017890688 0.00035781375 0.0 0.0002683603 0.00017890688 8.945344e-05 0.018516863 0.014849271 0.017801234 0.020305932 0.0051882993 0.0063511943 0.031755973 0.0025941497 0.010555506 0.00035781375 0.00286251 0.0072457287 0.019679757 0.0059933807 0.004741032 0.007782449 0.0010734412 0.0074246353 0.04526344 0.007335182 0.0031308704 0.0066195545 0.0025941497 0.025136417 0.0002683603 0.0025941497 8.945344e-05 0.002236336 8.945344e-05 0.0 0.022542266 0.0 0.040880222 0.015564898 0.022095 0.029966902 0.082833886 0.014402004 0.008766437 0.004025405 0.03560247 0.00035781375 0.0026836032 0.038822792 0.01950085 0.041774757 0.03694427 0.00805081 0.00017890688 0.040880222 0.027820019 0.05671348 0.012612935 0.0035781376 0.006977368 0.011092227 0.0050093927 0.001431255 8.945344e-05 8.945344e-05 0.0 8.945344e-05 0.0008050809 5.4617705 6.0 0.0 0.0 1.0 401408.0 425984.0 0.0 0.0 7.0 0.0 1.0 0.0 0.0 0.0 1099933700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 393216.0 4096.0 4096.0 3.0 1.0 0.0 2.0 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 -393216.0 0.0 2248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.3540254 0.0 2.9990208 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21412.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -390192.0 0.0 2248.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 40.0 393748.0 2248.0 421888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 624.0 340.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.007551454 0.0039213905 0.003856069 0.0039348393 0.0038913495 0.0038658497 0.0038726614 0.00389624 0.0038592129 0.003825504 0.0037591346 0.0038639286 0.0039428733 0.0038703908 0.0038887297 0.003965753 0.0037738057 0.0037945898 0.0037844598 0.0038300452 0.0038183432 0.0038338876 0.003826028 0.0038831409 0.0038557197 0.0038817434 0.003867771 0.003862706 0.0038999077 0.0038649763 0.0038344115 0.003989681 0.0038635791 0.0037998296 0.0038048946 0.0037544188 0.0038705654 0.0038289973 0.003839826 0.003879997 0.0037570386 0.003767518 0.003788826 0.0038429697 0.0038401752 0.003783761 0.0038455895 0.003955623 0.003964007 0.0038473362 0.0038391273 0.0039269794 0.0037874288 0.0038068157 0.0038057677 0.003904973 0.0038876818 0.003882093 0.0038483841 0.0039697704 0.003876853 0.003935887 0.0040104655 0.0041163075 0.0038969386 0.0038492572 0.0038291719 0.0038480347 0.0038641032 0.0038597367 0.0038289973 0.003816946 0.0038815688 0.0038756304 0.0038197404 0.0038225348 0.0038073398 0.0038586888 0.0038146754 0.003938507 0.0038064665 0.0037790453 0.0038129287 0.0038892538 0.0037944152 0.003811706 0.0037982576 0.003983219 0.003773631 0.0038684695 0.0037902235 0.0038340623 0.0038798223 0.0039336164 0.0038910003 0.0039952705 0.0038190417 0.003915278 0.003862182 0.003882966 0.0038703908 0.0038883805 0.0038289973 0.0039509074 0.0038370313 0.0039301235 0.0038592129 0.0038719627 0.0038487334 0.003820963 0.0038551956 0.00403125 0.003908466 0.003865675 0.00384786 0.0039054968 0.0040158797 0.0039229626 0.0038752812 0.003930298 0.0039587673 0.0039107366 0.0038492572 0.003988808 0.0040164036 0.004033695 0.0040660063 0.0041889646 0.0038903016 0.0038466374 0.0038034974 0.0039268048 0.0038389526 0.0038487334 0.003839826 0.0039311713 0.0037612305 0.0039447946 0.0037951139 0.003980774 0.0038882059 0.003855545 0.0038892538 0.0039702943 0.003811706 0.0038419217 0.0038094358 0.0038943188 0.0037842852 0.003885062 0.0038251549 0.003881918 0.0038256787 0.0038805208 0.0038298704 0.0038660243 0.0038691682 0.0039362363 0.0038927468 0.004044698 0.0037671688 0.003832141 0.0037570386 0.0038915242 0.003860086 0.0038679456 0.0038228843 0.0038925721 0.0037612305 0.0038110076 0.0037977337 0.0038751066 0.003784809 0.003820963 0.003964007 0.0039610374 0.0038307437 0.0038279493 0.0038040213 0.00383773 0.0038083878 0.0038668977 0.0038298704 0.0038827914 0.0038681203 0.0038716134 0.003913182 0.003911435 0.003890651 0.003952305 0.004025486 0.004131328 0.0039461916 0.003918247 0.003862182 0.0039456678 0.003841747 0.0038104835 0.0038745825 0.003946541 0.0038796477 0.003911086 0.0037883022 0.003872836 0.0038854112 0.0038780756 0.0039386814 0.004079979 0.0038702162 0.003855021 0.0038614834 0.003943921 0.0038340623 0.003911435 0.0038689936 0.0039769313 0.0038798223 0.0038426204 0.003879997 0.003938856 0.003846987 0.0039540515 0.0039860136 0.004132725 0.0039655785 0.0038613086 0.0038773771 0.0039978903 0.00386061 0.0038691682 0.0038440176 0.004026359 0.004002257 0.003933442 0.003867771 0.003998938 0.003882966 0.0038847127 0.0039035755 0.004140934 0.0039479383 0.0039675 0.0039514317 0.0039860136 0.003938507 0.0039570206 0.0039554485 0.004119975 0.0040357905 0.0040450473 0.0039722156 0.004070198 0.0040508113 0.0041421563 0.004162766 0.004597312 0.00035778174 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008474606 1.2927661e-05 1.3975849e-06 2.620472e-07 1.0481888e-06 9.608397e-07 1.0481888e-06 3.4939623e-07 3.144566e-06 2.620472e-07 5.240944e-07 6.1144345e-07 1.0307189e-05 5.240944e-07 6.9879246e-07 1.2927661e-05 0.00016002348 1.2578264e-05 3.4939623e-07 8.734906e-08 2.620472e-07 1.7469812e-07 0.0 1.7469812e-07 3.4939623e-07 2.620472e-07 4.367453e-07 6.1144345e-07 6.1144345e-07 5.240944e-07 5.240944e-07 1.9216793e-06 0.00015190002 0.0 8.734906e-08 1.6334274e-05 1.021984e-05 0.0 0.0 0.0 1.7469812e-07 0.0 0.0 0.0 1.7469812e-07 0.0 0.0 0.0 0.00042486584 1.1355378e-06 2.6204718e-06 1.0481888e-06 1.4412595e-05 4.0180566e-06 4.454802e-06 1.7469812e-06 8.9969535e-06 1.7469812e-07 1.7469812e-07 2.620472e-07 4.192755e-05 4.367453e-07 6.9879246e-07 2.969868e-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 0.00011023451 5.939736e-06 1.5984879e-05 1.8518002e-05 2.7864351e-05 0.0 0.0 0.0 1.7469812e-07 0.0 0.0 0.0 1.7469812e-07 0.0 0.0 0.0 0.00024466473 9.695746e-06 2.035233e-05 4.6295004e-06 2.4719784e-05 4.105406e-06 1.4325246e-05 7.075274e-06 5.1535944e-06 2.882519e-06 2.0963776e-06 2.3584246e-06 2.3584246e-06 2.3584246e-06 2.882519e-06 8.123463e-06 0.00021706242 3.5813116e-06 8.909604e-06 4.367453e-06 1.4325246e-05 8.123463e-06 4.18402e-05 3.4153483e-05 9.171651e-06 2.7951698e-06 1.3102359e-06 1.484934e-06 2.0963776e-06 1.6596322e-06 2.0090283e-06 4.8915476e-06 0.00017758064 3.4066134e-06 1.755716e-05 1.1792124e-05 4.8915474e-05 2.4020992e-05 0.00015548134 7.634308e-05 4.280104e-06 7.861415e-07 1.2228869e-06 1.3102359e-06 2.0963776e-06 1.484934e-06 2.0963776e-06 8.2981605e-06 0.0001263941 3.8433586e-06 2.7951698e-06 3.8433586e-06 2.8213746e-05 1.4674642e-05 8.638822e-05 6.594854e-05 7.337321e-06 2.5331228e-06 2.2710756e-06 2.882519e-06 3.144566e-06 2.5331228e-06 2.1837266e-06 2.7951698e-06 0.00016666201 8.909604e-06 7.5993685e-06 1.0656586e-05 2.148787e-05 1.3364406e-05 9.3463495e-06 2.5243879e-05 3.135831e-05 4.454802e-06 2.1837266e-06 4.367453e-06 1.1180679e-05 7.9487645e-06 1.1442727e-05 2.1575219e-05 4.087936e-05 4.367453e-06 1.4325246e-05 1.6159576e-05 5.1535944e-06 4.9788964e-06 4.105406e-05 2.5767973e-05 3.5813116e-06 1.6596322e-06 2.7951698e-06 2.3584246e-06 2.882519e-06 2.2710756e-06 3.930708e-06 6.7258775e-06 0.00038861597 6.446361e-05 2.8475793e-05 5.4069067e-05 0.000114165225 9.1454465e-05 5.0662456e-05 9.390024e-05 0.00015093917 1.8780049e-05 1.8692699e-05 1.5984879e-05 7.354791e-05 3.2144453e-05 9.75689e-05 0.00013766212 0.0007262201 0.00017958967 0.00013189708 0.00017854148 0.00027121883 0.00022204132 0.00017024332 0.00025401107 0.0002697339 5.4331114e-05 5.4680513e-05 5.494256e-05 0.00013268323 6.96172e-05 0.00017059271 0.00027969168 0.061543267 0.061295282 0.060975235 0.06209077 0.06103367 0.061258595 0.06149741 0.0627023 0.061521165 0.061798412 0.06138883 0.0621734 0.06210527 0.062468294 0.06263129 0.06439338 27356.0 5.7994957 158651.0 0.010330852 0.010753162 0.010444309 0.009473625 0.009996786 0.009990483 0.010091333 0.009851813 0.009681628 0.00974466 0.009933754 0.010400186 0.01004721 0.009990483 0.010097636 0.010248912 0.0110557135 0.010356065 0.010790981 0.010740557 0.010122849 0.010293033 0.010097636 0.010412793 0.010129152 0.010293033 0.010211092 0.009832904 0.009933754 0.010923347 0.010765769 0.010652312 0.009587081 0.010381277 0.010160667 0.010784678 0.012177673 0.010053514 0.010412793 0.01026782 0.009895935 0.010431702 0.01004721 0.009927451 0.009990483 0.010393883 0.010141757 0.010746859 0.00996527 0.00996527 0.010318246 0.011660815 0.010734254 0.0098581165 0.009813994 0.0106334025 0.009933754 0.010078726 0.0096312035 0.009416896 0.010652312 0.0098581165 0.010324549 0.010217396 0.009215196 0.01106832 0.010450612 0.011408689 0.010778375 0.013431999 0.010053514 0.010501036 0.010356065 0.012221795 0.010103939 0.01016697 0.0111187445 0.010740557 0.011471721 0.011736453 0.010608191 0.009977876 0.011496933 0.011402386 0.012183976 0.010734254 0.010368671 0.010040907 0.010299336 0.010393883 0.009977876 0.010538856 0.00984551 0.010217396 0.010702738 0.010236305 6.58219 1.0 14.0 0.0 88.0 5725520.0 294912.0 0.0 0.0 155.0 0.0 1.0 1.0 0.0 0.0 1260053500.0 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 -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 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 24064.0 1024.0 4096.0 5.0 1.0 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 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 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24064.0 0.0 17408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.294402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.801004 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5081234 0.0 2.256356 0.0 0.0 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 4764.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -154712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23628.0 0.0 17312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -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 -1.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29872.0 17312.0 274432.0 0.0 0.0 6352.0 5719168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0