Input: 0.26727802 0.035718665 0.03068401 0.0146585265 0.023211718 0.009867023 0.023091163 0.009448149 0.009147787 0.005181771 0.019746305 0.0058254055 0.0042296 0.0034327188 0.0035716621 0.0017531385 0.002883075 0.010882536 0.013005509 0.0068143555 0.0032181737 0.0052410257 0.0037596442 0.0026337942 0.0024703315 0.0013322218 0.0015242905 0.0022190074 0.0015937623 0.002409033 0.0014466457 0.0014446025 0.0070738527 0.0018491729 0.0012177979 0.0014180398 0.0016693638 0.0028626423 0.0013751307 0.0014772951 0.009793465 0.0009664738 0.005469874 0.005547519 0.003628874 0.0019819865 0.0031732216 0.0012034948 0.0062013697 0.002049415 0.0014425592 0.0012157545 0.001462992 0.0012974859 0.0011381097 0.0007989244 0.0015161175 0.0011238067 0.0012198411 0.0007764483 0.0019922028 0.00091539166 0.0018450863 0.00080914085 0.0010911141 0.0026297078 0.0020187655 0.0033898097 0.0023191285 0.002503024 0.00196564 0.0011605859 0.0013955636 0.002997499 0.0016571041 0.0011728456 0.0015140742 0.0025152839 0.0020310252 0.001377174 0.0018920818 0.0013465248 0.0026705735 0.0033755067 0.0027849975 0.0034960606 0.0020248953 0.0010645514 0.0014589054 0.0012852262 0.00088882894 0.00061298546 0.0008009677 0.0010788544 0.000774405 0.0055597783 0.0012300576 0.014188571 0.0030301916 0.0076847947 0.0076337126 0.024913773 0.003935367 0.0051122988 0.0036963024 0.011567036 0.0010829411 0.0025724957 0.008254871 0.004397149 0.012151415 0.020136572 0.0075683272 0.0010482052 0.0135939745 0.011963434 0.018593892 0.006135985 0.0029382438 0.0021148 0.0021658821 0.0032896888 0.0016101085 0.0069655585 0.0017633549 0.004854845 0.0012790964 0.0007192363 0.0052696317 0.004523833 0.0018246535 0.0026092748 0.0024355957 0.0013833039 0.0033755067 0.001111547 0.000674284 0.0027747808 0.0004352197 0.000745799 0.0010992873 0.00097464694 0.0016284981 0.00071514974 0.00072740944 0.0008663528 0.0004495227 0.0007376259 0.0014813816 0.0005026481 0.0009337812 0.0005006048 0.0005394272 0.0013179188 0.0006824572 0.0019063848 0.00068654376 0.0005312541 0.00055781676 0.0005557735 0.0011095037 0.00091947825 0.0009133484 0.0005128645 0.00082548714 0.00082548714 0.00058846606 0.00048221526 0.0006579378 0.00058029295 0.00039639728 0.0005271675 0.0008418334 0.00091539166 0.00041274357 0.00045973912 0.00060889893 0.0006334183 0.0004495227 0.0006150288 0.0005435138 0.0006334183 0.0003923107 0.00036370472 0.00075192883 0.00084796327 0.0004454361 0.00047812867 0.00068450044 0.00045156598 0.00044134955 0.000380051 0.00079483783 0.00054964365 0.0004863018 0.0008970021 0.000774405 0.0009419544 0.0014364293 0.00045565254 0.00070289004 0.00091947825 0.00065998104 0.0003923107 0.0005945959 0.00082548714 0.00224557 0.0006027691 0.0009337812 0.0007008467 0.0004965182 0.00056394667 0.000803011 0.00052512425 0.00035144502 0.0005312541 0.00063137506 0.0006150288 0.00061298546 0.00057620637 0.00089291553 0.0007478423 0.0011074605 0.00047812867 0.00076214527 0.0010114261 0.0006109422 0.0004965182 0.0006027691 0.0008867857 0.00090313196 0.00052512425 0.00053738395 0.00051082124 0.0006109422 0.00048221526 0.00058029295 0.00052512425 0.00056190335 0.00045156598 0.00069880346 0.00062115863 0.00056598993 0.0004495227 0.0008009677 0.00066815416 0.00044134955 0.00052308093 0.0005986825 0.0006783706 0.000394354 0.0005026481 0.00069880346 0.0009133484 0.004070224 0.0019390774 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0067169447 9.847689e-05 3.3851433e-05 3.7954636e-05 7.8986675e-05 0.0001036059 0.00012104451 6.7702866e-05 0.00026773405 5.9496455e-05 0.0001046317 8.719308e-05 0.00030055968 0.00014361214 4.0006238e-05 0.00014156054 0.031213071 0.0008473116 0.00035390133 0.0005098231 0.00091809186 0.0009827173 0.0044191503 0.0018895253 0.0014299665 0.000644203 0.00045955883 0.0005436745 0.0006575384 0.00046673944 0.00037646896 0.00050674565 0.04663804 0.0019787701 0.005413152 0.0014412503 0.012669668 0.009631245 0.07421772 0.03832495 0.000112838105 0.0001036059 0.0001046317 0.00014566374 9.437369e-05 9.745109e-05 5.6419052e-05 0.00014668953 0.1354283 0.01649693 0.01795357 0.0046920134 0.003927792 0.0030999705 0.0118038915 0.01620868 0.0023501099 0.0015438304 0.0016874425 0.0011786453 0.0014545857 0.00226702 0.0013366187 0.0033605238 0.12613864 0.024226341 0.013995002 0.007620675 0.0055321446 0.0065835905 0.019804113 0.01792382 0.00991334 0.0028455718 0.0027142693 0.0020464729 0.0033687302 0.002948152 0.002700934 0.0037390445 0.07653193 0.013391831 0.0056501115 0.004085765 0.0037205801 0.004467363 0.009537897 0.0063763787 0.012063419 0.0040149847 0.002866088 0.0026127151 0.0041257716 0.002575786 0.0030794544 0.002462948 0.028690627 0.0031204864 0.0034466912 0.0031984474 0.002391142 0.0029317392 0.006352785 0.0031922925 0.0028127462 0.0020495502 0.0015387015 0.0011622325 0.0019449185 0.0010760652 0.0013663669 0.0019520991 0.0128973955 0.0016064043 0.0026004054 0.0024875673 0.0016546169 0.002359342 0.004100126 0.0016782103 0.0019715894 0.0012381418 0.0010032334 0.00044724921 0.00085756957 0.0005293133 0.000654461 0.0017295004 0.00049956504 0.000102580096 9.950269e-05 0.00027594046 0.00016823136 0.00016412816 0.00029132748 0.00018669578 5.0264247e-05 3.8980437e-05 2.8722427e-05 3.6928835e-05 4.103204e-05 2.6670825e-05 2.8722427e-05 6.154806e-05 0.0026219473 0.0010381106 0.00108222 0.0012709674 0.000644203 0.00073447346 0.0011950581 0.0008873178 0.0005508551 0.00037133993 0.00039390757 0.00038057216 0.00036518514 0.00035082392 0.0003426175 0.00037544314 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4915.0 17.269176 84878.0 0.0026744269 9.425293e-05 0.00020028747 0.00041235654 0.00057729916 0.000306322 0.00034166686 0.00017672424 0.0005655176 0.0006362073 0.000106034546 0.00090718444 0.0015787366 0.0010485639 0.0095313275 0.0014020123 0.010367822 0.0045241406 0.0029689672 0.002792243 0.0023681049 0.003004312 0.002085346 0.0008718396 0.0011545983 0.0012606329 0.0020500012 5.890808e-05 0.006786211 0.0015198285 0.0068686823 0.00037701172 0.00018850586 0.008577016 0.006621268 0.013065812 0.007987936 0.008141097 0.006503452 0.0030278752 0.0034166686 0.008906902 0.0028982775 0.0010839087 0.0039232783 0.0074459813 0.0070925327 0.0044887955 0.0064327624 0.000918966 0.009566672 0.014974434 0.0100615 0.0029218409 0.0047126464 0.0026273003 0.00075402344 0.000612644 0.00038879333 4.7126465e-05 0.000106034546 7.06897e-05 9.425293e-05 0.028346568 0.00077758665 0.0609463 0.009319258 0.03069111 0.03011381 0.11594288 0.0066094864 0.021689955 0.010250006 0.047444567 0.0009778742 0.007552016 0.034366973 0.016941965 0.053182214 0.052699167 0.019286506 0.0011428167 0.050130777 0.039916117 0.08103395 0.024376163 0.011121846 0.006515234 0.0070925327 0.012641674 0.0014373572 7.06897e-05 2.3563232e-05 2.3563232e-05 2.3563232e-05 3.534485e-05 5.1767945 0.0 28.0 0.0 1.0 489408.0 499712.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1541393800.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 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 48.0 0.0 4.0 0.0 6.0 0.0 481792.0 512.0 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 -481792.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8754377 0.0 3.170467 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -481552.0 0.0 952.0 0.0 0.0 0.0 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 0.0 952.0 491520.0 0.0 0.0 6080.0 483328.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.23141758 0.009244037 0.0027622748 0.00477224 0.0132279135 0.0031252103 0.0090337265 0.0039183805 0.010353874 0.001428307 0.0016944997 0.0026523126 0.00679903 0.0027130023 0.0010773893 0.0069144 0.018846203 0.0010461432 0.00070544065 0.0009752387 0.0022935835 0.0047698366 0.002115721 0.00320633 0.0077472287 0.0012083827 0.00086948264 0.0008111967 0.0016067703 0.0005708421 0.0005534164 0.0008448463 0.015933705 0.00065857155 0.0012516464 0.0006729928 0.0033565515 0.002497885 0.00087308796 0.0015761252 0.0014739744 0.0007258708 0.001031722 0.0012870987 0.0015250498 0.000941589 0.0016302048 0.0016836837 0.0048912154 0.003163667 0.0019456702 0.0036365646 0.002317619 0.0020195793 0.0015671118 0.0015995597 0.0024954814 0.0017930451 0.0018735639 0.003095166 0.001978719 0.0020039561 0.002279763 0.0034959572 0.004961519 0.0029215098 0.0021307433 0.0024576255 0.0021788143 0.009326358 0.0026853615 0.0016037659 0.0019096171 0.0011308682 0.0010431388 0.0009433917 0.0011927596 0.005904911 0.0015641074 0.0020748607 0.0064138616 0.0028722372 0.001063569 0.0039454205 0.0014950054 0.0028223635 0.003348139 0.002407752 0.0013676175 0.0013075288 0.0009794448 0.0011933604 0.0009800458 0.0031330218 0.0020520273 0.0020550315 0.000809394 0.009119653 0.0019342534 0.0045895707 0.005183847 0.015646482 0.002825969 0.0025892197 0.005105732 0.009314341 0.004798078 0.001021507 0.0056849867 0.0028530087 0.009126864 0.009413486 0.0027069934 0.0007204628 0.00836494 0.00883964 0.013101728 0.006402445 0.002280965 0.0022821666 0.0012768836 0.0015737215 0.00095360674 0.0004031948 0.0010503494 0.0013399767 0.0014331142 0.00086467556 0.0014036706 0.0010299194 0.00042602848 0.0063213254 0.0018242912 0.0040241363 0.00076372665 0.0005005384 0.0018525328 0.0060016536 0.0010010768 0.02064766 0.00073668675 0.0080428645 0.0006555671 0.0005083499 0.0010707796 0.0004158134 0.00036533896 0.0006808043 0.0008051878 0.00046388432 0.0003851682 0.0003058512 0.00075952045 0.0005696403 0.00036053185 0.00029563613 0.00066217687 0.0003232769 0.0003677425 0.00029443434 0.0008015825 0.0015953535 0.00029263168 0.0008172055 0.0006513609 0.00028842548 0.00035692652 0.0002788113 0.0008274206 0.0004254276 0.00035272032 0.00029563613 0.0007258708 0.0003088556 0.00040199302 0.00044285328 0.00083523215 0.00036053185 0.00048611712 0.00031726804 0.0007481036 0.0003629354 0.0012570544 0.00060869794 0.0018260939 0.0008724871 0.0005041437 0.00039718594 0.0008172055 0.00033108843 0.0007607222 0.0007078442 0.0040595885 0.0027118004 0.0022346966 0.0024155634 0.0030987712 0.0007877621 0.0018741648 0.0048954217 0.0021872267 0.0011915577 0.0005588244 0.00090072874 0.1380819 0.00039598416 0.0014553469 0.0009728351 0.0011861498 0.00054260046 0.00073007704 0.0005359907 0.00081660465 0.00037134782 0.000777547 0.0004644852 0.0013231519 0.0006201148 0.00035332123 0.00079377095 0.0010455424 0.00043384 0.00036894425 0.0003370973 0.0013688193 0.0006862123 0.00054740754 0.00037855844 0.001349591 0.0012438348 0.00043203734 0.0003635363 0.007977969 0.0037489305 0.00040199302 0.0013592051 0.003608323 0.00044165153 0.0003761549 0.00037555402 0.0036569948 0.0008845048 0.000841241 0.001958289 0.0021253354 0.00066097506 0.001883178 0.001634411 0.002576 0.0011182496 0.00072827435 0.0009902609 0.003893744 0.0008989261 0.0013712228 0.026015978 0.06768679 1.3229295e-05 9.019974e-07 6.313982e-06 3.0066578e-06 4.509987e-06 7.516645e-06 3.6079896e-06 3.9086553e-06 0.0 3.3073238e-06 1.2026632e-06 0.024005758 3.006658e-07 2.1046606e-06 6.313982e-06 0.0017682156 2.1046606e-05 6.6146476e-06 4.209321e-06 5.411984e-06 8.418642e-06 1.5634621e-05 1.2026631e-05 1.3830627e-05 5.71265e-06 3.3073238e-06 1.8039948e-06 0.00059050764 1.2026632e-06 9.019974e-07 4.209321e-06 0.002383979 2.4955261e-05 1.4431958e-05 1.2627964e-05 2.5857258e-05 1.5634621e-05 6.374115e-05 3.6681227e-05 1.8340614e-05 4.509987e-06 3.3073238e-06 4.509987e-06 0.0016590739 4.209321e-06 9.9219715e-06 2.856325e-05 0.0037616298 0.00016416352 0.00011154701 8.568975e-05 4.780586e-05 1.6837284e-05 2.7059921e-05 2.1046606e-05 8.418642e-06 1.4431958e-05 1.2928629e-05 1.0222637e-05 0.00055081974 6.6146476e-06 7.215979e-06 7.9676436e-05 0.007599328 0.0002937505 0.00025466393 0.00025706924 0.00019122344 0.00013199229 0.00021377338 0.00010733769 1.9543277e-05 2.1948603e-05 1.9843943e-05 2.1647937e-05 0.0005177465 1.9543277e-05 1.8039947e-05 0.00016476486 0.005166942 0.00026578855 0.00013349562 7.727111e-05 8.599042e-05 5.9231163e-05 0.00023271532 0.00011094568 6.494381e-05 4.1191215e-05 3.2772572e-05 2.6157924e-05 0.0007399385 3.5478562e-05 2.7961918e-05 0.0002883385 0.013559125 0.0014684517 0.00042303678 0.00014672491 0.00020866207 0.00019032144 0.0006743934 0.0003193071 0.00016386286 0.0002832272 0.00015634621 0.00018941946 0.0011256927 8.448709e-05 8.2683095e-05 0.0012444557 0.013924434 0.0025240893 0.00053007377 0.00022369534 0.00038395022 0.00026127856 0.0010108384 0.0004771566 0.00025075529 0.0004007875 0.00018070014 0.00012928629 0.0018085048 0.00019723676 0.0001371036 0.0015748874 0.051339287 0.0019149404 0.008876256 0.0010908155 0.0029847093 0.0026311264 0.037403125 0.017141258 0.00022790467 0.00024985327 0.00010222637 8.659175e-05 0.0011906365 0.00019904076 0.0007721098 0.0012531751 0.026032547 0.0024477202 0.0063350284 0.005826602 0.007174788 0.0032589165 0.015519165 0.0078816535 0.00042213476 0.00017348416 0.00021046605 0.00018400747 0.001985597 0.00024925196 0.00023241466 0.00088395743 0.012397653 0.0018439833 0.0025727972 0.0019134372 0.0042568264 0.0028692537 0.008597539 0.004340712 0.00097596116 0.00025857257 0.0003322357 0.00026849456 0.0035204957 0.00029224716 0.0003842509 0.0007420432 0.023801606 0.005490458 0.003543647 0.017871575 0.0036969867 0.0036299382 0.0076642716 0.0049077678 0.005073134 0.0018737492 0.0019916103 0.0020601621 0.013492077 0.0018376693 0.0043590525 0.004001862 0.047948375 0.015391082 0.007271903 0.0068756253 0.012451473 0.013741328 0.011659519 0.010434305 0.025647994 0.0023304606 0.0030601765 0.004067106 0.071636334 0.003340397 0.009682942 0.02047083 0.030311322 0.014674596 0.005986256 0.0043867137 0.01121273 0.009641149 0.0056618378 0.006758065 0.021233018 0.0017841508 0.002118792 0.0032736491 0.043562565 0.003507868 0.007988089 0.0187859 0.0027213262 0.0012790323 0.0007095713 0.00090500404 0.00095130655 0.00063771213 0.0008466749 0.000693636 0.0012781303 0.00031389509 0.0002988618 0.00042153345 0.0012309258 0.0005228578 0.0006247835 0.0013430741 0.0006813087 0.0003367457 0.000339151 0.00045250202 0.000347269 0.00033644502 0.00042995208 0.00035298165 0.00035478565 0.0003550863 0.00032532038 0.00043536408 0.00031148977 0.00039387218 0.0003262224 0.00037913956 10155.0 21.001183 213267.0 0.060750138 0.00069396576 0.0006283204 0.00052985223 0.0016176905 0.0039434135 0.0009424806 0.00087214616 0.0019224727 0.0011722395 0.0005439191 0.0006376983 0.0022272551 0.0031978693 0.005467325 0.0037042769 0.008848064 0.00886213 0.0040512597 0.0038824573 0.004914028 0.0030665784 0.0037464774 0.0033666717 0.004327908 0.0038402565 0.0042059952 0.0038168118 0.0039481027 0.003582364 0.003587053 0.009523273 0.022371018 0.009767099 0.0045576673 0.009912457 0.0071225273 0.006677076 0.003694899 0.001341042 0.004909339 0.0038730793 0.00046420685 0.00065176515 0.0023491678 0.0036058086 0.0020350078 0.0060581337 0.0074976436 0.012988414 0.002803997 0.018685497 0.0035307854 0.002663328 0.0069631026 0.0048202486 0.004130972 0.001997496 0.0043888646 0.00038449455 0.0014676439 0.0004126283 0.00060018664 0.003572986 0.0010221929 0.048455693 0.009148157 0.026628593 0.01790713 0.09464662 0.007929028 0.015511073 0.016823981 0.05403555 0.004646757 0.0025414152 0.028672978 0.01422161 0.052267816 0.054837365 0.010203172 0.0022413218 0.04778986 0.052750777 0.05926843 0.012894634 0.0074507543 0.01115972 0.0031697357 0.0061847353 0.001781804 0.0004266952 0.0010925272 0.00039387247 0.000890902 0.00028602645 5.4048634 1.0 13.0 0.0 5.0 1664208.0 1716224.0 1.0 1.0 1011.0 1.0 1.0 1.0 1.0 0.0 1541585000.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 14.0 6.0 0.0 6.0 0.0 848896.0 1024.0 4096.0 9.0 0.0 0.0 1.0 2.0 0.0 0.0 -1024.0 0.0 0.0 -59904.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 666624.0 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 -24064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -848896.0 -53760.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.014213046 0.0 0.0 -6.298712 0.0 0.0 0.0 0.0 0.0 0.0 -0.109115854 0.0 4.6613317 0.0 -0.23462744 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3681989 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.711894 -5.415096 2.8157551 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -777.0 0.0 0.0 -59618.0 0.0 0.0 0.0 0.0 0.0 0.0 -260.0 0.0 666481.0 0.0 -294.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -56728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -848609.0 -53560.0 1084.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 2.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 -2.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -2.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 2.0 1.0 2.0 1.0 0.0 -1.0 1.0 0.0 1.0 -2.0 -1.0 -1.0 -2.0 0.0 2.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -4.0 0.0 0.0 0.0 -1.0 1.0 -2.0 0.0 -3.0 1.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 1.0 1.0 -2.0 1.0 2.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 -2.0 -2.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -2.0 -1.0 2.0 1.0 2.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -3.0 0.0 -3.0 -1.0 1.0 -1.0 1.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 4.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 3.0 -1.0 -1.0 0.0 2.0 -1.0 1.0 1.0 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 0.0 2.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 2.0 -1.0 -2.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 2.0 0.0 0.0 2.0 -1.0 -1.0 -2.0 0.0 1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -2.0 1.0 -1.0 0.0 2.0 -2.0 0.0 0.0 -2.0 -2.0 0.0 0.0 3.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 4.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 0.0 -2.0 0.0 -1.0 -1.0 2.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 1.0 -1.0 3.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 -3.0 -2.0 -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 2.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 1.0 0.0 3.0 -1.0 0.0 0.0 0.0 2.0 -1.0 1.0 0.0 -1.0 2.0 -2.0 -1.0 1.0 0.0 -2.0 1.0 1.0 -1.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 -2.0 0.0 0.0 1.0 -3.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 2.0 2.0 0.0 0.0 -1.0 0.0 1.0 0.0 3.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 3.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 3.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 -3.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -3.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 -1.0 -1.0 2.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 1.0 1.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 1.0 -1.0 2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 2.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 2.0 -1.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -3.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 -3.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 1.0 2.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 -1.0 1.0 0.0 -1.0 -2.0 -3.0 0.0 2.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 2.0 -1.0 -2.0 0.0 -1.0 1.0 0.0 -2.0 -1.0 -2.0 0.0 1.0 -1.0 -1.0 -2.0 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 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 353.0 1522192.0 400.0 1586716.0 1084.0 1650688.0 0.0 0.0 6352.0 1657856.0 51736.0 1654784.0 56.0 1449152.0 0.0 0.0 0.0 0.0 24.0 1450940.0 64.0 1449208.0 0.0 0.0 5660.0 1581056.0 0.0 0.0 0.0 0.0


Input: 0.056415655 0.008275835 0.0061566276 0.005641256 0.005754638 0.0049619963 0.0042002774 0.0054196464 0.0050506406 0.005617549 0.0037426276 0.004458994 0.0049465355 0.0031777804 0.0043280898 0.004639374 0.0050331177 0.0037632424 0.0049207667 0.0041569863 0.004354889 0.0031860264 0.004108541 0.0038467327 0.0050753783 0.0033416685 0.0031643808 0.002939679 0.0041528633 0.0034426814 0.003784888 0.0037931341 0.00615972 0.0038147797 0.0034911262 0.003027292 0.004880568 0.004166263 0.0038395175 0.0037240742 0.0047259564 0.0038962082 0.0033262074 0.0031066593 0.0043610735 0.0037189205 0.0037178898 0.003596262 0.005509321 0.003958053 0.0031045978 0.0029036028 0.003680783 0.0030747063 0.0026933313 0.002870619 0.004174509 0.003311777 0.0035282332 0.003356099 0.003993098 0.0032293177 0.0035055568 0.003456081 0.0065792324 0.003948776 0.0036209999 0.0032313792 0.004151833 0.0032210718 0.0035467865 0.0030777985 0.0049939496 0.0037756113 0.0037055209 0.0035777087 0.0041157566 0.0031252126 0.0035498787 0.0034571118 0.0051506227 0.0036313073 0.0036550146 0.0033344533 0.003918885 0.00338496 0.0033664065 0.0035323561 0.0046373126 0.0036416147 0.0038034415 0.003508649 0.0041116336 0.003396298 0.0037024287 0.0037890112 0.0059040957 0.0036261536 0.003339607 0.002947925 0.0040085595 0.0030602757 0.003268486 0.0030365686 0.004968181 0.0031664423 0.003207672 0.003059245 0.003589047 0.0028417583 0.0031025363 0.0032014875 0.004503316 0.0032860085 0.0032272562 0.0031489197 0.0038982697 0.0033457915 0.0032942544 0.0036189384 0.0046105133 0.0032932237 0.0034715421 0.0031540734 0.0040394817 0.0031922108 0.003472573 0.0033406378 0.008624226 0.0045898985 0.004010621 0.0035302946 0.0043693194 0.00344062 0.0030180153 0.0033911443 0.0045373305 0.0038281793 0.0029685397 0.0032014875 0.003733351 0.0028015594 0.0028520657 0.0029767856 0.0052310205 0.0032045797 0.0034952492 0.0030375994 0.0036601683 0.003175719 0.0033169307 0.003271578 0.0045569143 0.0028458813 0.0030571835 0.0027077617 0.003516895 0.00323241 0.0029984312 0.0031561349 0.0050073494 0.0034107284 0.003279824 0.0028025901 0.0037745805 0.0030262612 0.003063368 0.0031942723 0.004138433 0.0030025542 0.0031324278 0.0030200768 0.0036426454 0.0028479428 0.002919064 0.0030437838 0.004663081 0.0031252126 0.0038364253 0.0028530965 0.0035612169 0.0031602578 0.002995339 0.0031283048 0.004249753 0.0031561349 0.00334373 0.0031880878 0.0036632605 0.0031983953 0.0033375456 0.0033581606 0.0067111673 0.0040724655 0.003733351 0.00334373 0.0041064797 0.003256117 0.0032994081 0.0032210718 0.0043311818 0.003339607 0.0031169667 0.0030674909 0.0036395532 0.0029922468 0.0030788293 0.0028025901 0.004257999 0.0032726089 0.0031045978 0.0030108 0.0037106746 0.0030334764 0.0029427712 0.0029530786 0.0039807293 0.0031231511 0.0027355917 0.002641794 0.003536479 0.0029623553 0.0035838932 0.002882988 0.00495272 0.003243748 0.003392175 0.0029809086 0.003825087 0.003075737 0.0032004567 0.0029139102 0.0044383793 0.005449538 0.0034787573 0.0031417045 0.0037931341 0.0030829522 0.0032468403 0.0031922108 0.0046146363 0.0033292996 0.0034251588 0.0030479068 0.0037426276 0.0030911982 0.0033138385 0.0032396251 0.004353858 0.003031415 0.0031922108 0.0028623731 0.0040085595 0.0030963519 0.0042188307 0.0044940393 0.011618616 0.0 0.0 0.0 0.0 0.0 1.0323071e-06 3.0969213e-06 0.0 1.0323071e-06 2.0646141e-06 0.0 0.0 1.0323071e-06 0.0 1.0323071e-06 0.0020429357 4.1292283e-06 2.0646141e-06 6.1938426e-06 5.1615352e-06 1.0323071e-06 3.096921e-05 1.1355378e-05 0.0 0.0 1.03230705e-05 0.0 0.0 0.0 0.0 0.0 0.0009461094 2.5807676e-06 6.1938426e-06 1.2903839e-05 9.290764e-06 5.677689e-06 5.1615356e-05 2.2710756e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028496836 3.5614594e-05 2.7872291e-05 1.0839224e-05 2.2194603e-05 3.458229e-05 4.232459e-05 1.8065373e-05 3.5614594e-05 5.1615352e-06 9.806918e-06 1.600076e-05 2.632383e-05 7.2261496e-06 1.7033068e-05 1.2903839e-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 0.00087591255 1.1871532e-05 1.2387685e-05 8.258457e-06 1.3419992e-05 1.600076e-05 1.3419992e-05 1.1355378e-05 1.0839224e-05 1.3419992e-05 6.709996e-06 1.3419992e-05 1.1871532e-05 1.03230705e-05 1.8065373e-05 9.806918e-06 0.0016176252 6.503535e-05 5.677689e-05 4.8518432e-05 4.7486126e-05 3.0453059e-05 2.2710756e-05 0.0005522843 2.9936906e-05 1.7033068e-05 1.9613835e-05 0.00027614215 2.0646141e-05 0.0002730452 1.6516913e-05 7.742303e-05 0.000739648 3.7163056e-05 3.4066135e-05 2.0646141e-05 2.2194603e-05 1.7033068e-05 1.39361455e-05 1.1871532e-05 1.6516913e-05 2.2710756e-05 1.909768e-05 1.754922e-05 6.709996e-06 4.645382e-06 2.2710756e-05 5.0583047e-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 0.0013125784 3.7163056e-05 4.2840744e-05 5.987381e-05 4.232459e-05 3.1485368e-05 9.135918e-05 5.832535e-05 3.922767e-05 5.7293044e-05 4.387305e-05 4.2840744e-05 7.7939185e-05 7.742303e-06 8.77461e-06 0.00016052375 0.0011639262 6.916458e-05 4.5937664e-05 4.5937664e-05 3.819536e-05 3.767921e-05 4.7486126e-05 5.987381e-05 5.213151e-05 5.0583047e-05 6.813227e-05 5.1615356e-05 7.484226e-05 1.4452299e-05 4.387305e-05 0.00025033447 0.004562281 0.00029162675 0.0002699483 0.00026943214 0.00029833676 0.00023949525 0.00033033825 0.00030607905 0.00032982213 0.00034943596 0.0003267252 0.0003499521 0.00051873433 0.00015278145 0.0001832345 0.0007355188 0.003183119 0.00027252908 0.00029936904 0.0002477537 0.00028749753 0.00028130368 0.00034169364 0.0009295925 0.0004056967 0.0003499521 0.00032311212 0.0006663542 0.0004609251 0.000433569 0.00017394374 0.00085733103 0.0022416548 0.00018116989 0.00028904597 0.00024414062 0.00029730445 0.00029369135 0.0002844006 0.0004010513 0.00044131128 0.00032156365 0.00024517294 0.00031588596 0.0004588605 0.0001610399 0.00018891219 0.0010343717 0.0003432421 5.4196124e-05 4.2840744e-05 4.490536e-05 5.4196124e-05 4.800228e-05 5.3163814e-05 5.1615356e-05 7.019688e-05 4.800228e-05 3.819536e-05 4.9034585e-05 4.4389206e-05 2.632383e-05 4.180844e-05 4.6969973e-05 0.09900909 0.062031332 0.062444255 0.055357985 0.06057836 0.05956257 0.055013195 0.05447278 0.060475647 0.05324227 0.05219448 0.05303271 0.056419194 0.050650146 0.056705143 0.053842556 4032.0 5.7041173 22999.0 0.01717466 0.010435237 0.009478673 0.008739511 0.013522327 0.012522284 0.011826601 0.01152224 0.012522284 0.009739554 0.00843515 0.0086090695 0.013826688 0.010522197 0.0117396405 0.009869995 0.016783338 0.011913561 0.00865255 0.007522066 0.009783034 0.008478629 0.007826427 0.008391669 0.010261316 0.00852211 0.009609113 0.008869951 0.01152224 0.008956911 0.009696074 0.009217792 0.018000783 0.010913518 0.010348276 0.009043871 0.010783077 0.008913431 0.010696117 0.008261229 0.014174529 0.011565721 0.009739554 0.008956911 0.0113918 0.009348232 0.0116092 0.009565634 0.014739771 0.009609113 0.009913474 0.0091743115 0.012087482 0.009391713 0.009739554 0.009826514 0.013696248 0.009261272 0.010478716 0.009565634 0.011087439 0.009783034 0.010391756 0.010652637 0.017913822 0.010956998 0.009696074 0.0081742685 0.013044045 0.008261229 0.009348232 0.008391669 0.015478934 0.009261272 0.008913431 0.00869603 0.0113048395 0.007956868 0.009913474 0.007913387 0.013174485 0.008043828 0.00869603 0.008956911 0.01143528 0.009435193 0.008261229 0.008000348 0.011000479 0.009000392 0.011913561 0.0086090695 0.011261359 0.009087352 0.010000435 0.00869603 6.554946 0.0 0.0 0.0 14.0 970174.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.14156908 0.008577772 0.0041603805 0.0034029365 0.0062028836 0.0039243745 0.002016555 0.0019485952 0.007835156 0.0015012956 0.0016915832 0.0014963531 0.004545898 0.0013641402 0.0012232779 0.0038662995 0.0061262744 0.0014963531 0.0011800306 0.0008908923 0.0024564408 0.0019708367 0.00076362194 0.00082169677 0.0022945728 0.0007512656 0.0008266393 0.00070801843 0.0016087957 0.0006017539 0.00059186877 0.0005634492 0.0038687708 0.000584455 0.0006499436 0.0005412078 0.0041418457 0.0013134792 0.00046336284 0.0005597423 0.0011800306 0.00065117923 0.0005819837 0.00094031764 0.0011021857 0.0023353486 0.0006746563 0.0005164951 0.0062609585 0.0027653493 0.0037217303 0.010133436 0.003908311 0.0019980206 0.0033856377 0.0016952901 0.0044260416 0.0020387964 0.00071296096 0.0014790541 0.0016631637 0.00097367977 0.00046459847 0.00052761583 0.011749646 0.0039206673 0.0048918757 0.008810072 0.003861357 0.03249718 0.0032620742 0.0027035677 0.0033769882 0.0035413275 0.0021846013 0.0023501762 0.0027048034 0.0043790876 0.0011577893 0.0015284795 0.009042371 0.0021401185 0.0020523884 0.009738034 0.003199057 0.013811919 0.0032163558 0.0020919286 0.0019226468 0.006501907 0.0027369298 0.0032534248 0.0015630773 0.004628686 0.0023736532 0.0035981669 0.0057543484 0.0044643464 0.001996785 0.0032942009 0.009572458 0.006179407 0.0042283405 0.0015902612 0.008124295 0.004280237 0.00398492 0.0014185081 0.003820581 0.0018003191 0.0046533984 0.004077593 0.0035017873 0.0017508937 0.0051760715 0.0038934834 0.010455937 0.00558136 0.001973308 0.0011565536 0.003117505 0.0012615825 0.0005300871 0.0005893975 0.0016508073 0.0025145155 0.0010614098 0.0008735934 0.0052366178 0.0011565536 0.0010873581 0.00905102 0.003117505 0.003222534 0.0010329902 0.0006178171 0.0026590847 0.015168645 0.0022303197 0.051659394 0.0011948582 0.010986024 0.00085629453 0.00067959883 0.0026529066 0.00044359267 0.0007265529 0.00064500107 0.0011219558 0.0009353751 0.001509945 0.0005671561 0.0011726168 0.00058816187 0.00049919623 0.0007117253 0.0009551452 0.00047571916 0.00046459847 0.00041888 0.0008958348 0.0033250917 0.0004658341 0.0025478778 0.001422215 0.00081675424 0.0005634492 0.00045224212 0.0010453465 0.00045718465 0.0005090813 0.00048683988 0.0008464094 0.00044977086 0.0007413805 0.0006573574 0.0013233642 0.00068454136 0.0017286523 0.00053626526 0.0008773003 0.0006697137 0.0007117253 0.0015779049 0.0031471604 0.0025318144 0.0046459846 0.0008229324 0.0009996281 0.00047942606 0.0008525876 0.0007141966 0.011984416 0.0011479042 0.0022846877 0.010338551 0.004353139 0.0010577029 0.0035536839 0.003364632 0.001868279 0.00176325 0.0009823292 0.0013011228 0.0016804625 0.0008921279 0.0009909787 0.00094155327 0.002871614 0.0011491398 0.0029717002 0.0013517839 0.0018114398 0.00076732883 0.0016026176 0.000874829 0.003364632 0.0006536505 0.0010848868 0.0017854915 0.0014951174 0.0007179035 0.00056221354 0.0008414669 0.0024366707 0.0006573574 0.0008773003 0.000989743 0.0024304925 0.002429257 0.0005498572 0.0006931908 0.027581828 0.00602001 0.0010923006 0.005893975 0.0065266197 0.0010416396 0.00067959883 0.0007537369 0.007235874 0.00097615103 0.0018151467 0.0009180762 0.009128866 0.002168538 0.0040924205 0.002591125 0.010058062 0.0030507809 0.003070551 0.0036092876 0.0148745645 0.003992334 0.004297536 0.06886807 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017736553 0.0 0.0 0.00051674887 0.00024445006 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013528918 0.0 0.0 0.0062133633 0.004338834 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016356494 0.0 0.0 0.0013497357 0.0008168964 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055016734 3.7131654e-06 1.7946966e-05 6.6836976e-05 0.00014852661 7.550103e-05 6.188609e-06 7.4263307e-06 1.5471522e-05 0.0 0.0 1.8565827e-06 8.045192e-06 3.0943045e-06 4.950887e-06 0.0003577016 0.0060840216 0.00020546182 0.00021288815 0.0005495485 0.0019067104 0.00048704352 0.002442025 0.0010625841 0.00019432232 0.00010025546 9.221028e-05 7.488217e-05 0.00067022635 0.00037936174 0.00039978413 0.002882654 0.013294988 0.0006399022 0.0009437629 0.002076897 0.004120376 0.0036011515 0.0069516646 0.003202605 0.00045300619 0.00023516714 0.0003100493 0.00032985286 0.0020781348 0.0011021913 0.0011195194 0.008970389 0.020727508 0.0013002268 0.0012309144 0.002073803 0.007301321 0.0025558956 0.0066775093 0.0032496385 0.0023869465 0.0009728493 0.0009747059 0.0013330263 0.004049826 0.0026443927 0.0026685281 0.009561401 0.02018353 0.0015589106 0.0012488613 0.0022631744 0.009409161 0.004036211 0.0058742277 0.0034012594 0.0058005834 0.0014110028 0.0017755119 0.0023009249 0.0038555034 0.0017693234 0.0040374487 0.009654849 0.07390994 0.009803375 0.007270378 0.01006701 0.042003326 0.030560588 0.021274582 0.013933035 0.051402587 0.0052838344 0.00604689 0.009130055 0.016764322 0.0070636785 0.02740316 0.060985647 0.06017494 0.0101159 0.009105919 0.011655626 0.028081432 0.030564303 0.01764682 0.014590264 0.049752083 0.005877322 0.006473904 0.0091381 0.021070357 0.010922895 0.025049014 0.048462998 0.00023331057 4.765229e-05 8.602167e-05 5.1984316e-05 9.035369e-05 9.901774e-05 4.3320262e-05 6.5599255e-05 0.00013429282 2.9086463e-05 3.3418488e-05 2.9086463e-05 8.416508e-05 6.0029506e-05 7.3025585e-05 0.00010706294 5347.0 16.687675 89229.0 0.0052449317 0.00012327831 0.0005379417 8.965695e-05 0.0032276502 0.0005491488 0.00012327831 0.00016810678 0.00038104205 0.00039224915 0.0007060485 0.00056035595 0.0004819061 0.01372872 0.0010870905 0.00044828476 0.029396273 0.01676585 0.02917213 0.012036446 0.02551861 0.014188212 0.026964327 0.01131919 0.028802296 0.014064934 0.0007957054 0.00049311324 0.0009189837 0.00051552744 0.00011207119 0.00013448542 0.0013112329 0.008214818 0.0071277274 0.013975278 0.006869964 0.015533066 0.00455009 0.0029586793 0.004740611 0.016945163 0.002364702 0.0038440418 0.0065673715 0.006421679 0.0042699124 0.008876038 0.012428694 0.0025216017 0.005760459 0.019713322 0.012585594 0.00602943 0.0056820093 0.0033621357 0.0026785014 0.0051552746 0.0014681326 0.0028802296 0.0011207119 0.0026897085 0.0028017797 0.021371976 0.00024655662 0.029923007 0.014569255 0.026000515 0.02777124 0.05111567 0.013448543 0.010007957 0.020352127 0.03359894 0.009638122 0.0067242715 0.025731545 0.011789889 0.03820507 0.032993756 0.020867655 0.0029586793 0.039471474 0.02761434 0.041925833 0.010747627 0.011745061 0.0058949445 0.015701173 0.0064328862 0.0010086407 0.00028017798 0.00052673457 0.00024655662 0.00029138508 0.0003025922 5.757614 0.0 2.0 14.0 4.0 809301.0 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 -6.5873756 0.0 0.0 0.0 0.0 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: 0.10341263 0.007861745 0.005529937 0.0036211263 0.0035533693 0.0032813735 0.0025195915 0.0025050722 0.002885479 0.0031748982 0.011233138 0.0030761666 0.0023676222 0.011198292 0.003047128 0.002239852 0.0022698585 0.001410313 0.0012331769 0.0011170221 0.0014654865 0.0019678562 0.0013338444 0.0012515681 0.00161068 0.0011992984 0.002190486 0.0010724961 0.0023395515 0.001097663 0.0013638511 0.00125544 0.08084375 0.0014093451 0.022762472 0.001096695 0.0014925894 0.0009757004 0.0011780034 0.0010608806 0.0012564078 0.00096989266 0.0009815082 0.0010270021 0.005795157 0.0010957271 0.010896289 0.006978968 0.008110509 0.005892921 0.0044419537 0.0047826744 0.0034730288 0.0038350446 0.0017123155 0.0025921883 0.0021159535 0.0015303396 0.0010618486 0.001030874 0.009250763 0.015438911 0.009074595 0.0011644519 0.0026764004 0.0050875805 0.007052533 0.006232674 0.0071696555 0.0025012002 0.002865152 0.003913449 0.0043325746 0.008019522 0.0010395856 0.0020675557 0.0032716938 0.0033442907 0.0042599775 0.0013570754 0.004611346 0.0020733634 0.0042667533 0.0083447555 0.0063681877 0.0010715282 0.0048213927 0.0016426226 0.0014974291 0.0018884836 0.0010347458 0.0010086109 0.0020501325 0.0010347458 0.0011576763 0.0016745651 0.0024324753 0.027589671 0.0054525007 0.008829702 0.007933374 0.034444742 0.006521125 0.012971588 0.0068753967 0.018265344 0.0011218619 0.0035911195 0.016515277 0.011368652 0.018458935 0.024413805 0.014076027 0.0012186576 0.023031563 0.012502129 0.027463837 0.012838978 0.0016310072 0.004231907 0.0020511004 0.007435844 0.0032920209 0.0009824762 0.0010695922 0.0010095789 0.0010821756 0.0010763679 0.0017084436 0.0015593783 0.0024498985 0.0012631835 0.0013938578 0.0012922223 0.0013367482 0.0011770354 0.0014199925 0.0019572086 0.0010221624 0.0010386176 0.0013125493 0.001118958 0.0011034707 0.0020723955 0.0012999659 0.0012902863 0.0011034707 0.0011770354 0.0010279701 0.0013851462 0.0010570087 0.0010279701 0.00120801 0.0011499326 0.0010347458 0.00096118107 0.0011054067 0.0010202264 0.0010482972 0.0010115148 0.0013735306 0.0010386176 0.0009902198 0.0012389846 0.0010841115 0.0010057071 0.0010424894 0.00095440535 0.0012176896 0.0009776363 0.0009931236 0.0010047391 0.0010357137 0.0010066751 0.002708343 0.001097663 0.0013096455 0.0023134167 0.0010850795 0.000984412 0.0010841115 0.0009534374 0.0009737645 0.0009437578 0.0011305735 0.0011005668 0.0009573092 0.0009127832 0.0026047716 0.0010889514 0.0016629497 0.0009689247 0.0018507333 0.0013812743 0.0015071087 0.0013793383 0.0011963946 0.0010018352 0.0011605802 0.0012486642 0.0011470288 0.0011828431 0.00089632795 0.0010182905 0.0013164212 0.0010860475 0.0019020351 0.0010550729 0.0011479968 0.001230273 0.0009669888 0.0010028032 0.001096695 0.0010124828 0.0010347458 0.0010473292 0.0010153867 0.0010066751 0.00098538 0.0009786043 0.0010870155 0.0009737645 0.0010008673 0.0009757004 0.0013028698 0.0011818752 0.0010270021 0.0010599126 0.0011170221 0.0009534374 0.0011634841 0.0011789714 0.0010570087 0.0018120151 0.001230273 0.0009815082 0.0010221624 0.0015758337 0.0009786043 0.0009950595 0.0011896188 0.0012399526 0.0010676563 0.0011325094 0.001073464 0.0010608806 0.0010066751 0.0011470288 0.0011596122 0.0010115148 0.0010812077 0.0010434574 0.0019775357 0.0010347458 0.0010686243 0.0046665194 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00071278395 1.1152402e-05 2.4244351e-05 1.4061724e-05 2.4244351e-05 2.0850142e-05 9.5522744e-05 4.5094494e-05 6.3035313e-06 5.3337576e-06 4.8488705e-06 5.8186447e-06 5.8186447e-06 6.3035313e-06 4.8488705e-06 5.8186447e-06 0.040388666 0.000114433344 0.0034567597 0.0005231931 0.00026038435 0.00075836334 0.021830585 0.013299482 0.00010812981 9.988673e-05 0.00010328094 8.388546e-05 9.6977405e-05 9.115876e-05 0.00010182628 0.00011297868 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.016317418 1.794082e-05 0.10607292 0.04100932 0.02126763 0.017035536 0.12513965 0.059340477 1.1152402e-05 1.0182628e-05 1.1637289e-05 1.5031498e-05 1.0667515e-05 1.0182628e-05 1.4061724e-05 1.2122176e-05 0.0016326146 7.2733055e-05 0.000940196 0.0005653783 0.00026377855 0.00023129112 0.0012645854 0.0006836907 4.9943366e-05 3.248743e-05 3.5396755e-05 3.9760736e-05 2.8123448e-05 3.248743e-05 3.6366528e-05 4.945848e-05 0.0012393713 8.049125e-05 0.00027153673 0.00017892332 0.00014546611 9.261342e-05 0.0003098428 0.00019589436 6.448998e-05 5.8186444e-05 5.042825e-05 5.7216672e-05 6.206554e-05 4.751893e-05 6.0125993e-05 6.497486e-05 0.005416673 0.00045336937 0.0010032313 0.0011322112 0.0015346674 0.0007530296 0.0027080942 0.0016481311 0.00037578747 0.0001832873 0.00027784027 0.00030935794 0.0002763856 0.00017261978 0.00021528985 0.00042185173 0.0332264 0.003717629 0.0059291986 0.0072519705 0.010936142 0.005254236 0.015996423 0.010197659 0.0034659726 0.0022057511 0.0026882137 0.0029563564 0.002716822 0.0017480177 0.0024011605 0.0035086425 0.044001076 0.007951178 0.010204933 0.011967982 0.016169528 0.009154183 0.022408085 0.01526182 0.0075569646 0.005605779 0.006066422 0.0064068125 0.0063893567 0.0049313013 0.0056198407 0.00699789 0.028393531 0.011702264 0.01204023 0.012851446 0.014626132 0.011239197 0.01719361 0.014414237 0.011531584 0.009688043 0.009518817 0.010186507 0.010736854 0.009525121 0.0101608075 0.010759643 12144.0 40.519432 492068.0 0.16403423 0.00022964306 0.04538397 0.00017883707 0.0010120552 0.0001341278 0.00022761081 0.00013819228 0.00033328726 0.00015851468 0.00012599885 0.00015038572 0.009815716 0.00023980426 0.015388117 0.012390564 0.012748238 0.009819781 0.0066149393 0.0076920264 0.0048814393 0.006017461 0.0016359527 0.0032068738 0.0017904029 0.0010506678 0.00022557858 0.00013006333 0.01699765 0.030150304 0.016926521 0.00017477259 0.0002316753 0.0038632872 0.008259021 0.01088061 0.007173805 0.00071738055 0.0034588715 0.0022049798 0.003072746 0.010149004 0.00019103051 0.002452913 0.004454669 0.0034344846 0.0030686816 0.0008596373 0.0052228556 0.0020180137 0.0035096775 0.015558825 0.011075705 0.00019712723 0.008098474 0.0015851468 0.0007803799 0.00025402993 0.00020322394 0.00017680484 0.0019550144 0.0001646114 0.00028248128 0.00080476684 0.00013616004 0.043835405 0.006909614 0.014794704 0.008842274 0.06405009 0.009701911 0.02047278 0.010673322 0.03214393 0.00020932066 0.0044343467 0.02951015 0.020543909 0.03180658 0.04527423 0.015353569 0.00021541739 0.038632873 0.017036263 0.04942203 0.02230586 0.0009714105 0.006592585 0.0016298561 0.012829527 0.0046619573 9.551526e-05 0.00012803108 0.00017883707 0.0001239666 0.00011990213 5.147161 0.0 16.0 0.0 1.0 1033104.0 1056768.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1521543600.0 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 1025024.0 512.0 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 -1025024.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6494937 0.0 3.1311767 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 -1025012.0 0.0 800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 1033108.0 800.0 1040384.0 0.0 0.0 6032.0 1027072.0 12.0 1048576.0 0.0 0.0 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: 0.060356148 0.003956205 0.003170204 0.0038572273 0.0046694283 0.0029722482 0.0035806713 0.0034584044 0.0036126936 0.0053564515 0.0034816936 0.0035573824 0.0036650938 0.004052272 0.0029140261 0.0034525823 0.0032226043 0.0039736717 0.0036854716 0.0038397606 0.003493338 0.004122139 0.0035544713 0.003091604 0.0030042706 0.0039358274 0.002832515 0.003903805 0.0031032485 0.002858715 0.0028703592 0.002937315 0.0050798957 0.0036418047 0.0030246484 0.003775716 0.002838337 0.003927094 0.0033856267 0.0030421151 0.004765495 0.003269182 0.005269118 0.002937315 0.0035166268 0.0029518704 0.0038310273 0.003365249 0.004154161 0.0029082038 0.0040173386 0.0032342486 0.003088693 0.0029256705 0.0034496712 0.0030304706 0.0033914489 0.0035835826 0.003365249 0.0035049825 0.0034089156 0.0034118267 0.002838337 0.0037349605 0.005455429 0.0045180502 0.0029984484 0.0038572273 0.0057378076 0.011685215 0.0032342486 0.004890673 0.0036854716 0.004340472 0.0034525823 0.003397271 0.0039853165 0.0049430733 0.0044772946 0.0038222938 0.0069284537 0.003775716 0.0035806713 0.0036680049 0.0030508484 0.004104672 0.003673827 0.002989715 0.004462739 0.0033798043 0.0031585598 0.0034118267 0.0037291383 0.004154161 0.0035253603 0.003574849 0.003216782 0.0031265374 0.003467138 0.0035166268 0.0048208064 0.00428225 0.0035661159 0.0042793388 0.0047189174 0.003775716 0.0037262272 0.0041774497 0.0036563603 0.0031090707 0.0032284264 0.003700027 0.003918361 0.0036767381 0.0031440041 0.004384139 0.0034234712 0.0034118267 0.0037640715 0.002934404 0.0031003375 0.002858715 0.0034030934 0.0034584044 0.0029169372 0.0038979829 0.0033070266 0.0028004926 0.0041658054 0.0045005837 0.0044248947 0.0048295395 0.003138182 0.004995473 0.002989715 0.003039204 0.0036942048 0.0039474717 0.0040144273 0.006538364 0.00334196 0.0036825603 0.0035806713 0.0033099377 0.004462739 0.0027568259 0.0043957834 0.0035777602 0.0031265374 0.0034263823 0.0034496712 0.0029198483 0.004657784 0.00334196 0.0029431372 0.0034205602 0.004328828 0.0033768932 0.0028296036 0.003944561 0.0030595819 0.0034263823 0.003266271 0.0038572273 0.0033885378 0.0033739822 0.0037116716 0.002887826 0.0034263823 0.0034001824 0.0033536043 0.0032895599 0.0044190725 0.0027975815 0.003242982 0.0032284264 0.004378317 0.0031585598 0.0028820038 0.0028441593 0.0029227594 0.0027772037 0.0038426716 0.004710184 0.0032604488 0.0034030934 0.0030508484 0.003545738 0.0031440041 0.0032866488 0.0031236263 0.003749516 0.0030974264 0.0031614709 0.0033303155 0.0037378715 0.0038630494 0.0042152945 0.010322814 0.0033885378 0.003467138 0.0030479373 0.0033012044 0.003397271 0.0065791197 0.0029227594 0.0028936483 0.0035137157 0.0034351156 0.004058094 0.0027160703 0.0036942048 0.002986804 0.0027801148 0.0031207153 0.0034001824 0.003068315 0.0036650938 0.003467138 0.0029082038 0.0039591165 0.003065404 0.0030857818 0.00334196 0.0045034946 0.0028761816 0.0030159152 0.003088693 0.0038572273 0.003723316 0.0035224492 0.003595227 0.004538428 0.003927094 0.003295382 0.0034496712 0.0041687167 0.0030100928 0.0030799597 0.003769894 0.0043986947 0.0032109597 0.0035340935 0.003242982 0.0032779153 0.004226939 0.0045791836 0.0034060045 0.003569027 0.0043724948 0.0030042706 0.0041949167 0.0045937393 0.0035108046 0.003269182 0.006206497 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.053387854 0.05143473 0.055666987 0.052073587 0.053496037 0.054129045 0.054341026 0.05144204 0.053864438 0.053937536 0.051965404 0.052042887 0.050854348 0.050282735 0.05242737 0.052965358 1403.0 7.9315753 11128.0 0.008537023 0.0069194823 0.0065600285 0.0061107115 0.0062005753 0.0073687993 0.005930985 0.0061107115 0.0070992094 0.0061107115 0.006380302 0.0053918045 0.006470165 0.0058411215 0.0070992094 0.004762761 0.0062904386 0.005930985 0.006829619 0.009255931 0.005751258 0.005661395 0.006470165 0.0069194823 0.0066498923 0.0070992094 0.0070992094 0.006470165 0.018062545 0.006829619 0.0058411215 0.0053918045 0.0067397556 0.03513659 0.0062904386 0.0069194823 0.065959744 0.007278936 0.0066498923 0.03801222 0.006470165 0.03621495 0.0061107115 0.005481668 0.0066498923 0.021746945 0.034867004 0.019410497 0.050593097 0.0073687993 0.0062904386 0.02057872 0.0062904386 0.005571531 0.0067397556 0.0075485264 0.035765637 0.0071890727 0.006020848 0.0058411215 0.005481668 0.005571531 0.006380302 0.009974838 0.0062904386 0.010154565 0.006829619 0.008267433 0.011772106 0.017703092 0.0074586626 0.009525522 0.006470165 0.010154565 0.0071890727 0.006020848 0.0103342915 0.009884975 0.010783609 0.0103342915 0.006829619 0.005481668 0.010244428 0.023274623 0.013479511 0.0071890727 0.005751258 0.0062005753 0.006470165 0.0062005753 0.006380302 0.005661395 0.005751258 0.0065600285 0.0065600285 0.0062005753 6.1679764 0.0 0.0 0.0 9.0 343511.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 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 28672.0 4096.0 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 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 -28672.0 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 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 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 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 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 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 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 -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 -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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 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 -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 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 -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 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 1.0 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 1.0 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 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -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 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 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 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 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 -1.0 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 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 140.0 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0