Input: 0.11112809 0.028036892 0.0027050837 0.002074773 0.0028507237 0.004457539 0.0018622818 0.002714634 0.0025785442 0.013723585 0.002886537 0.0016426281 0.0022228006 0.0031897547 0.002719409 0.0028889244 0.0022228006 0.011453033 0.0017739428 0.0017882681 0.0031181283 0.002158337 0.0016044275 0.0016426281 0.0016641159 0.0014802753 0.0015065382 0.0037794772 0.015287424 0.0044241133 0.0018049809 0.0015614517 0.0020819355 0.0018766071 0.0020890983 0.0019888214 0.0023541152 0.0028125232 0.0018742196 0.0018169186 0.002480655 0.0018121435 0.001695154 0.0020843232 0.0018670569 0.0042402726 0.0018718321 0.0015996523 0.001964946 0.0022084753 0.0016593409 0.0022180255 0.0016139776 0.0067686783 0.0015901022 0.0014898255 0.0018002058 0.001924358 0.0015519016 0.001721417 0.0018861573 0.0019362957 0.0032112424 0.0021272989 0.002189375 0.0026764332 0.0017333546 0.0028698242 0.002282489 0.0047703064 0.0023159147 0.0021129737 0.0027528347 0.0017429048 0.0021440117 0.0016092026 0.0018455691 0.0038200654 0.0026453952 0.0018216937 0.0029963637 0.002600032 0.0743337 0.0026764332 0.0028483362 0.0023421776 0.0024352917 0.0026716583 0.002132074 0.0022753265 0.0024567796 0.0016784412 0.0017166418 0.004777469 0.001898095 0.001778718 0.0018025934 0.0026740457 0.0016903789 0.006988332 0.0021750496 0.0037818647 0.003099028 0.0016999291 0.0034881972 0.00248543 0.002683596 0.0016665035 0.0033091316 0.004576916 0.0036386123 0.0023827658 0.003411796 0.0020723855 0.0026525578 0.002480655 0.004371587 0.003848716 0.0017381298 0.0017452923 0.0017858805 0.0016545658 0.002074773 0.0016641159 0.0016426281 0.0022872642 0.0015137009 0.0016474032 0.0018216937 0.0020532853 0.0016712786 0.0028435611 0.0020819355 0.0024615547 0.00248543 0.0017667803 0.008946115 0.003063215 0.0022538386 0.004144771 0.0017094793 0.0028531114 0.0016139776 0.0015160885 0.0017667803 0.024288453 0.0015805521 0.0035025224 0.0016879914 0.0021726622 0.0016354655 0.00161159 0.0030202393 0.001575777 0.0023541152 0.0014134242 0.0025642188 0.004278473 0.0019888214 0.0016474032 0.0027313468 0.0018718321 0.0016211403 0.008946115 0.002740897 0.0022347383 0.0045793033 0.0039275046 0.005054424 0.0043095113 0.0050162235 0.0051857387 0.0042760856 0.006993107 0.0045721405 0.0014516248 0.0025833193 0.001637853 0.0015304136 0.0015208635 0.0023684406 0.0025785442 0.0019052576 0.0064153224 0.001778718 0.002299202 0.002074773 0.0016044275 0.0015733894 0.0017643927 0.0020628353 0.0024711047 0.0026453952 0.0149364555 0.0025331809 0.0032184052 0.015750607 0.0019195828 0.0026764332 0.0051451507 0.0021869873 0.0018312439 0.0031229034 0.001606815 0.002022247 0.026501704 0.0016235277 0.0015853271 0.0018049809 0.0025809316 0.001898095 0.01373791 0.0027647724 0.0029605506 0.0025498937 0.0014253618 0.0017047041 0.0017070917 0.0018431816 0.0023206896 0.0053576417 0.004710618 0.0018813822 0.0016354655 0.0023493401 0.0018240812 0.00161159 0.008619023 0.001778718 0.0020317973 0.0021750496 0.0019052576 0.00380574 0.0019768837 0.0019386832 0.0021129737 0.01666981 0.0043763625 0.0019124203 0.001575777 0.002241901 0.009063105 0.0017118668 0.0016784412 0.0018742196 0.0019362957 0.0031443913 0.0016879914 0.003239893 0.0018025934 0.0024400668 0.0017429048 0.002074773 0.004746431 0.0034380588 0.007415702 0.01712096 0.012258492 2.3935356e-06 0.0 5.983839e-06 0.00020943437 1.1967678e-06 1.1967678e-06 0.0024521772 0.009806315 0.0024509805 4.7870712e-06 0.01946064 0.0073553347 0.009750067 0.002453374 0.0023097617 0.0 0.0 0.0 0.0 0.0010004978 0.0 0.0 0.0023372874 0.0022116269 0.0 0.0021841011 0.0022116269 0.0 0.0 0.0 8.377375e-06 0.0019650927 1.1967678e-06 0.000100528494 0.0 0.0011991613 0.00012805415 1.1967678e-06 1.1967678e-06 0.0020883598 1.1967678e-06 1.1967678e-06 0.0021158855 0.0021912819 0.0 1.1967678e-06 0.0045824237 3.5903035e-05 4.906748e-05 0.0019064511 3.4706267e-05 0.0020321116 0.002060834 3.9493338e-05 7.1806066e-06 0.0023947323 7.06093e-05 2.0345053e-05 2.8722427e-05 2.6328891e-05 0.0020321116 0.0018358418 0.013469622 0.0035651713 2.5132123e-05 0.001870548 0.0008461148 0.006043677 8.856082e-05 0.00025012446 8.018344e-05 3.1115964e-05 0.0040642233 0.0018932866 0.0054201614 0.001045975 0.0036202224 0.001803529 0.004796645 0.0040175496 0.00014002183 0.00016036688 0.00046673944 0.0095825195 0.001644359 3.35095e-05 0.0012757544 0.0037387025 0.0005193972 0.00015797335 0.009509517 0.00022499234 0.0019603055 0.0009873334 0.004504634 0.0010076785 0.0007802926 0.00069891236 0.0008975758 0.01570638 0.00038416244 0.0008808211 2.8722427e-05 0.00093826593 0.0007958506 0.0010028913 0.0060867607 0.004262887 0.000105315565 0.0011345359 0.0041192747 0.0022080366 0.0007036994 0.0005756453 0.001242245 0.019072888 0.0017855775 0.0007790958 0.0015701593 0.004474715 0.0009981043 0.0035567938 0.00749416 0.0022451363 0.002529967 0.00056607113 0.031251196 0.0033569336 0.0023384842 0.0021458047 0.0006462546 0.018421846 0.004386154 0.00050144567 0.0007168639 0.003920611 0.017542223 0.0004942651 0.005837833 0.0037758022 0.003586713 0.0015677657 0.0063907397 0.00023576325 0.0006019742 0.00056726794 0.001787971 0.003348556 0.00500967 0.0027441885 0.00041767195 0.0005193972 0.0021505917 0.00015677657 0.0008880017 0.00084372127 0.0009933172 0.00030517578 0.002710679 0.00011967678 0.00015797335 9.574142e-05 0.0005816291 0.0014624503 0.00018789254 0.00016395719 0.00013762829 0.00055051316 0.001195571 0.00012805415 0.00052538107 0.0015246822 0.00013284122 0.00012925093 0.047468595 0.0028554879 0.0027477788 0.0026987114 0.0030290193 0.0027130726 0.0030326096 0.0029979032 0.002916523 0.0027537625 0.0029045553 0.0028267654 0.002766927 0.0029488357 0.0030721028 0.002953623 0.004515405 0.00035783357 0.00034706265 0.00029560164 0.00084132777 0.00071566715 0.00070848654 0.0004715265 0.0005648744 0.00035783357 0.0010112688 0.00029919195 0.0004607556 0.00036621094 0.0004344267 0.00050742953 0.0051353304 0.00063668046 0.0005983839 0.00048349416 0.001278148 0.0013583314 0.0011943743 0.0007396025 0.0007048962 0.00065582874 0.0026292987 0.0005062328 0.0009059532 0.0007802926 0.00067258347 0.0013284122 0.0038404278 0.000809015 0.0007982441 0.0007336186 0.0015270757 0.0012901156 0.0024354225 0.001700607 0.0013906441 0.0011764227 0.0020536536 0.00072524126 0.0014301374 0.0007455863 0.0011500939 0.0027034984 0.034276627 0.023917403 0.025263768 0.023388432 0.02618528 0.02769919 0.025128532 0.025309244 0.028743967 0.02156815 0.027255189 0.02225988 0.024320714 0.022616517 0.026692709 0.03204106 1309.0 39.69366 51959.0 0.001039281 0.0006543621 0.0029831212 0.0011355107 0.0014241999 0.009411267 0.0010007891 0.0027136782 0.0065628667 0.0009622972 0.001020035 0.0031563349 0.0010585269 0.0012509864 0.0012124944 0.0011355107 0.0008660675 0.00336804 0.0011740025 0.0011355107 0.00080832967 0.041340288 0.00080832967 0.0009045594 0.000692854 0.0025019727 0.0007890837 0.00067360804 0.0028291538 0.002078562 0.013491407 0.0031370888 0.0011740025 0.0026174483 0.0015589214 0.0036952212 0.00204007 0.0040608943 0.0025404645 0.0031178428 0.010046382 0.0018668566 0.004041648 0.00094305124 0.001732135 0.013934064 0.0076983776 0.0013472161 0.0022325295 0.005850767 0.58677036 0.0049462076 0.009103332 0.0014819377 0.0013472161 0.0038876806 0.0036374833 0.0012702323 0.0077946074 0.0009045594 0.0006543621 0.0015011836 0.0011355107 0.0012317405 0.0009622972 0.0059469966 0.0014434458 0.043880753 0.0035220077 0.013491407 0.007987067 0.002424989 0.008275756 0.0055813235 0.0013279702 0.0012124944 0.011412845 0.003060105 0.0149540985 0.0060624722 0.011162647 0.0010007891 0.0064666374 0.0045227967 0.011643796 0.0076598856 0.0012894783 0.0026366943 0.0019438403 0.0019053485 0.0010007891 0.00082757557 0.00073134585 0.0042725997 0.0009622972 0.00094305124 3.3194995 0.0 0.0 0.0 5.0 418841.0 438272.0 0.0 0.0 336.0 0.0 0.0 0.0 0.0 0.0 1486255700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 376832.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -376832.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.734683 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.984943 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.0931487 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -37184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -376549.0 0.0 1768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -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 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 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 1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 2.0 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 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 -2.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 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 1.0 1.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -2.0 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 1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 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 1.0 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 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -2.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 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 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -2.0 1.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 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 -2.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 382456.0 1768.0 434176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1376.0 380928.0 0.0 0.0 0.0 0.0


Input: 0.05502068 0.0051700366 0.0046300553 0.0048943013 0.004250919 0.003848805 0.00390625 0.0041819853 0.0044462318 0.003837316 0.0037683824 0.0038717831 0.0040900735 0.003929228 0.0040326286 0.005101103 0.0042624082 0.0044002756 0.0034581802 0.0037339155 0.0037798714 0.0036305147 0.0038717831 0.0040670955 0.003986673 0.0036305147 0.0036190257 0.0037568933 0.0036075367 0.0036764706 0.003550092 0.003515625 0.004607077 0.003952206 0.003492647 0.0034122244 0.0034007353 0.0036764706 0.003515625 0.003986673 0.0037224265 0.0033547794 0.0033318014 0.0037913602 0.00390625 0.003848805 0.003963695 0.003492647 0.0040670955 0.0033318014 0.0037798714 0.003883272 0.0036075367 0.003550092 0.0034352022 0.0035615808 0.0034237131 0.0040096506 0.0037339155 0.0037109375 0.0036534925 0.0034352022 0.0031939337 0.0033203126 0.003883272 0.0037339155 0.0037109375 0.0037568933 0.0041245404 0.0032858455 0.0036764706 0.0035845588 0.0038143382 0.0037109375 0.003182445 0.0037568933 0.003963695 0.0033662685 0.0037683824 0.0036649816 0.004216452 0.003917739 0.0038717831 0.003940717 0.003504136 0.0038258273 0.003940717 0.003538603 0.0034466912 0.003504136 0.0032973345 0.0035960479 0.003550092 0.0032858455 0.003469669 0.0033432904 0.003963695 0.003963695 0.003515625 0.0033777573 0.003848805 0.0040900735 0.0035730698 0.0038143382 0.0041015623 0.0041704965 0.0035730698 0.0037683824 0.0038602941 0.0037454043 0.0034466912 0.0036879596 0.0035615808 0.0033892463 0.0042049633 0.0038143382 0.0037683824 0.004296875 0.0033547794 0.0044462318 0.0032858455 0.0035845588 0.003125 0.003504136 0.0037913602 0.0032398896 0.0033547794 0.003492647 0.004813879 0.0043772976 0.003469669 0.0045381435 0.0036879596 0.0045496323 0.0035960479 0.004331342 0.0047449446 0.0037454043 0.0032513787 0.0045381435 0.0037109375 0.00402114 0.0034352022 0.003515625 0.0041704965 0.0033777573 0.0036305147 0.0036534925 0.0032513787 0.0034466912 0.0036190257 0.003136489 0.0032858455 0.0032513787 0.0033203126 0.0034122244 0.0036994484 0.0031939337 0.003481158 0.0033318014 0.0032858455 0.0034466912 0.0032398896 0.0027918199 0.0036305147 0.0034466912 0.0033777573 0.003113511 0.0036879596 0.003515625 0.0032054228 0.0029411765 0.0037798714 0.0032858455 0.0033892463 0.003848805 0.0041360296 0.0032284008 0.0036534925 0.003504136 0.0035615808 0.0030790442 0.0038717831 0.0035615808 0.003469669 0.003515625 0.003538603 0.0036649816 0.0035960479 0.0031479779 0.0035730698 0.0038258273 0.004273897 0.0037568933 0.0041015623 0.004216452 0.0033662685 0.0034581802 0.0041360296 0.0045381435 0.0044806986 0.003550092 0.0035615808 0.0036075367 0.003469669 0.003883272 0.0032054228 0.0035960479 0.003550092 0.0035615808 0.0036649816 0.0033662685 0.0035615808 0.0030675551 0.0039751837 0.003469669 0.004159007 0.0035845588 0.0032054228 0.00402114 0.0036420038 0.0035730698 0.0033088236 0.0034352022 0.0035960479 0.0036534925 0.003170956 0.0031939337 0.004216452 0.0029871324 0.0033088236 0.0033432904 0.0038143382 0.0033203126 0.0036764706 0.0036994484 0.0035615808 0.0036649816 0.00390625 0.0033547794 0.003848805 0.0032513787 0.0037454043 0.003837316 0.0033088236 0.0032284008 0.0038602941 0.004296875 0.003550092 0.0032743567 0.0034466912 0.0036305147 0.003492647 0.0033203126 0.0036649816 0.008295037 0.0117768785 0.0 0.0 0.0 1.1625744e-05 1.1625744e-05 5.231585e-05 5.231585e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00920759 3.4877234e-05 0.0001046317 0.0001453218 0.00034295945 0.00015694754 0.0006626674 0.00033714657 0.00028483072 0.0 1.1625744e-05 8.719308e-05 2.906436e-05 5.812872e-06 9.8818826e-05 0.0003952753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0061732703 4.6502977e-05 0.00013369606 0.00016276042 0.0006452288 0.00020345052 0.0006161644 0.0005812872 0.0010288784 5.812872e-06 1.1625744e-05 0.00017438616 5.231585e-05 5.812872e-05 0.00013369606 0.0018775577 0.012422107 0.000499907 0.00037202382 0.0003080822 0.00074404763 0.0004766555 0.00046502976 0.00079636346 0.0019821892 0.0002906436 0.00030226936 0.00052315847 0.0008893694 0.0006161644 0.0006219773 0.002499535 0.005958194 0.0006684803 0.00047084264 0.00040690103 0.00038364955 0.0004127139 0.0005173456 0.00040108818 0.000453404 0.00030226936 0.00022088914 0.00027901787 0.00044759116 0.00023251488 0.00035458518 0.0003952753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006952195 0.0014125279 0.0014474051 0.0010521298 0.0014357794 0.0014415922 0.0017089844 0.0015229725 0.004074823 0.0010114397 0.0010986328 0.0016741072 0.0031389508 0.0022612072 0.0019008091 0.0035807292 0.0627267 0.058128722 0.05709403 0.055850074 0.05569894 0.055791944 0.05671038 0.05482701 0.056884766 0.053833008 0.052548364 0.054489862 0.056762695 0.054268975 0.05364118 0.053600494 441.0 6.213152 2740.0 0.013868613 0.00839416 0.0062043797 0.009854015 0.008029197 0.00729927 0.009124087 0.010218978 0.009489051 0.008029197 0.0069343066 0.012773722 0.009854015 0.010948905 0.012043796 0.008759124 0.012408759 0.00729927 0.009124087 0.011678832 0.00839416 0.005839416 0.011313869 0.010583942 0.0062043797 0.015328467 0.0062043797 0.00729927 0.00839416 0.0062043797 0.010948905 0.00839416 0.008759124 0.012043796 0.010948905 0.009854015 0.027372263 0.006569343 0.011678832 0.010218978 0.011678832 0.012408759 0.009124087 0.010218978 0.012773722 0.010583942 0.010583942 0.011313869 0.013138686 0.0062043797 0.009124087 0.014233577 0.0076642334 0.0076642334 0.01459854 0.010948905 0.006569343 0.00839416 0.00729927 0.010948905 0.009854015 0.006569343 0.009489051 0.006569343 0.014233577 0.012773722 0.010948905 0.014233577 0.013503649 0.016423358 0.00729927 0.011678832 0.011313869 0.011678832 0.0054744524 0.011678832 0.012408759 0.010218978 0.010583942 0.013868613 0.012408759 0.009124087 0.020072993 0.012773722 0.012043796 0.01459854 0.00839416 0.027737226 0.008029197 0.009489051 0.00729927 0.0069343066 0.005839416 0.0076642334 0.006569343 0.009854015 6.505893 0.0 0.0 0.0 2.0 87040.0 131072.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1308842500.0 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 12288.0 4096.0 4096.0 3.0 1.0 0.0 3.0 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 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.7547235 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.8857393 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 212.0 59208.0 1864.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.056725543 0.008304711 0.006173863 0.0056608426 0.005758265 0.004965415 0.004202621 0.005421433 0.005051437 0.005633896 0.0037559308 0.004473123 0.00495816 0.0031662164 0.0043207714 0.004645166 0.0050358907 0.003771477 0.0049363957 0.0041549467 0.0043466818 0.0031745078 0.0041062357 0.003846098 0.005068019 0.0033486239 0.0031620709 0.002931989 0.0041601285 0.0034377545 0.0037901322 0.0037932415 0.0061676446 0.0038170787 0.0034833564 0.003026302 0.0048990855 0.0041590924 0.003840916 0.003720693 0.004724969 0.0038958455 0.003336187 0.0030967775 0.004371555 0.0037341663 0.0037248386 0.0035807784 0.005517819 0.003940411 0.0031019594 0.0029081518 0.0036792369 0.0030708674 0.0026811792 0.0028615135 0.0041746385 0.0033071677 0.0035268853 0.003356915 0.004004668 0.003215964 0.0035071936 0.0034553735 0.0065987892 0.0039424836 0.0036160161 0.0032170003 0.004152874 0.0032201095 0.0035393222 0.0030677582 0.0049996166 0.003771477 0.0037020377 0.0035932153 0.004124891 0.0031226876 0.0035600504 0.003469883 0.0051612956 0.0036253438 0.0036585089 0.0033320412 0.0039290106 0.0033776432 0.0033652063 0.0035382858 0.0046503483 0.0036429628 0.0038046418 0.0035082302 0.0041114176 0.0033869708 0.0036854553 0.0037901322 0.0059137256 0.00362638 0.0033413689 0.0029589357 0.0040025953 0.0030491028 0.0032636386 0.0030221562 0.004974743 0.0031662164 0.0031952357 0.0030491028 0.0035735236 0.0028314579 0.0030864133 0.0031952357 0.0045135426 0.0032864395 0.0032221824 0.0031382337 0.0038937726 0.0033299685 0.0032885124 0.003628453 0.0046223653 0.0032874758 0.0034812836 0.0031693256 0.004032651 0.003193163 0.0034678103 0.003346551 0.00865398 0.0045995642 0.00400985 0.0035217034 0.004371555 0.0034367181 0.0030180106 0.0033921527 0.0045435983 0.003833661 0.0029537536 0.0031910902 0.0037300207 0.002791038 0.002844931 0.0029869184 0.0052307346 0.0032056 0.0035020118 0.003026302 0.0036626544 0.0031807262 0.003303022 0.0032563838 0.0045435983 0.0028376763 0.0030418478 0.0027008709 0.0035123758 0.0032294372 0.0029900277 0.003149634 0.005011017 0.0034097717 0.003264675 0.0028003657 0.0037776954 0.0030097193 0.0030594668 0.0031807262 0.0041445824 0.0030024645 0.003121651 0.0030149014 0.003646072 0.0028324942 0.0029185158 0.0030252654 0.004664858 0.0031164691 0.0038419524 0.0028625499 0.0035652323 0.0031579253 0.0029921005 0.0031185418 0.0042523686 0.0031454884 0.0033351504 0.0031807262 0.0036522904 0.0031941994 0.003328932 0.0033506965 0.0067252303 0.004056488 0.0037238023 0.0033392962 0.004117636 0.0032532746 0.003303022 0.0032242553 0.004335281 0.0033310049 0.0031154328 0.0030884861 0.003643999 0.002987955 0.00307294 0.0027951836 0.004242005 0.0032708934 0.0030947046 0.0029993553 0.0037165475 0.0030325204 0.0029382075 0.0029485715 0.003980831 0.0031061051 0.0027298902 0.002632468 0.0035227397 0.0029475351 0.0035787057 0.0028905328 0.004969561 0.0032325464 0.0034025167 0.0029744816 0.0038036054 0.0030770858 0.0031962723 0.0029071153 0.0044368487 0.005449416 0.0034647011 0.0031351245 0.0037942778 0.0030895225 0.003252238 0.0031890175 0.0046130377 0.0033247864 0.003421172 0.0030377023 0.0037372755 0.0030936683 0.0033133859 0.003243947 0.0043518636 0.0030335567 0.0031859083 0.0028635864 0.004012959 0.003090559 0.0042202403 0.0045187245 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-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 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-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 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.099244595 0.06201535 0.062465236 0.055315364 0.060571782 0.059555784 0.054915816 0.054463338 0.060471635 0.053143784 0.05212208 0.052960612 0.056433067 0.05055086 0.056673836 0.05383651 4014.0 5.703787 22895.0 0.017121643 0.01043896 0.009347019 0.008648177 0.013452719 0.012448133 0.011792968 0.011487224 0.012535488 0.009783796 0.008473466 0.008604499 0.013889495 0.010526316 0.011792968 0.010002184 0.016772222 0.011880323 0.008779209 0.007556235 0.009827473 0.008473466 0.007818301 0.008342433 0.010307928 0.008473466 0.009609085 0.008866564 0.011530902 0.00895392 0.00969644 0.009215986 0.018082552 0.010875737 0.010395283 0.009041276 0.010919414 0.008822887 0.010657349 0.008298756 0.014282594 0.0116182575 0.009783796 0.00895392 0.011487224 0.009347019 0.011705613 0.009565407 0.014806726 0.009609085 0.009958507 0.008997598 0.012098712 0.009347019 0.009565407 0.009783796 0.013714785 0.009215986 0.010569993 0.009565407 0.011137803 0.009871151 0.010395283 0.010701027 0.017951518 0.01100677 0.00969644 0.008211399 0.013103298 0.0082550775 0.009390697 0.008342433 0.015461891 0.009303342 0.0089102425 0.008691854 0.011356192 0.007993012 0.009914828 0.007861978 0.013278008 0.008036689 0.008735532 0.008822887 0.011399869 0.009390697 0.008211399 0.007861978 0.010875737 0.008822887 0.011924 0.008517143 0.011312514 0.008997598 0.009958507 0.008779209 6.554492 0.0 0.0 0.0 14.0 964874.0 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: 0.2230178 0.014724919 0.0074838186 0.010194175 0.010760518 0.0057038837 0.011084142 0.0040857606 0.007847897 0.0041262135 0.003195793 0.0034789643 0.0061084144 0.0039239484 0.0023462784 0.0029935276 0.0038834952 0.001618123 0.0010113269 0.003357605 0.0033980582 0.0036003236 0.0016990291 0.0020226538 0.0023058252 0.0016990291 0.001132686 0.002184466 0.002184466 0.0035194175 0.0015372168 0.0022249192 0.008737864 0.0012944983 0.0016990291 0.0015776699 0.002750809 0.002184466 0.001132686 0.0015776699 0.0015776699 0.0014563106 0.0019822007 0.003357605 0.0014563106 0.012338188 0.004854369 0.0035194175 0.019296117 0.006351133 0.003762136 0.0066343043 0.0023867313 0.0035194175 0.0030744337 0.0028721683 0.004813916 0.0044498383 0.003762136 0.0046521034 0.002265372 0.0017799353 0.001132686 0.0019822007 0.003802589 0.0025889967 0.0016585761 0.0057443366 0.0038834952 0.006351133 0.0029530744 0.0019822007 0.0036407767 0.0025080906 0.00084951456 0.001618123 0.0027912622 0.0034789643 0.0023867313 0.0009304207 0.0051375404 0.0028721683 0.0026294498 0.006391586 0.0024676376 0.008171521 0.004166667 0.0029530744 0.0012944983 0.0029530744 0.0015372168 0.0017394822 0.0013754045 0.0033980582 0.00210356 0.0023867313 0.0015776699 0.007726537 0.012216829 0.008050161 0.004166667 0.012216829 0.0040857606 0.0029126212 0.005056634 0.0074838186 0.0025889967 0.0019012945 0.005461165 0.0055825245 0.007686084 0.007969256 0.004368932 0.0012135922 0.00934466 0.006027508 0.0137944985 0.0072411005 0.0018203884 0.0023462784 0.0020631067 0.0035194175 0.0009708738 0.0009708738 0.0012540453 0.0018203884 0.001132686 0.0013754045 0.0027912622 0.0021440128 0.0040857606 0.0052588996 0.0023058252 0.0067556635 0.004530744 0.0008090615 0.0010113269 0.006553398 0.0010113269 0.016140778 0.0014158576 0.004813916 0.00088996766 0.0011731392 0.0010113269 0.00105178 0.0010113269 0.0010113269 0.0015372168 0.0015372168 0.001132686 0.0012944983 0.0007686084 0.0008090615 0.0006067961 0.0008090615 0.001132686 0.001092233 0.00084951456 0.00064724917 0.0022249192 0.0014967638 0.0007686084 0.0019822007 0.0014563106 0.0007281553 0.0012944983 0.00105178 0.001092233 0.0006067961 0.0009304207 0.0011731392 0.00105178 0.00088996766 0.0012540453 0.0012540453 0.0010113269 0.00105178 0.0009708738 0.00088996766 0.0014158576 0.0009708738 0.00064724917 0.0009304207 0.0018203884 0.0012540453 0.001092233 0.0010113269 0.0014967638 0.0015372168 0.001092233 0.001132686 0.00420712 0.0012540453 0.0020631067 0.003843042 0.0026294498 0.00105178 0.0019417476 0.0036003236 0.0015776699 0.0020226538 0.001132686 0.0007686084 0.015978964 0.0012540453 0.00105178 0.0014158576 0.0020226538 0.0013754045 0.0012944983 0.0011731392 0.00088996766 0.0012135922 0.0012944983 0.0015776699 0.0016990291 0.00068770227 0.0009304207 0.0016585761 0.00105178 0.00084951456 0.0007686084 0.000566343 0.0012540453 0.00084951456 0.0012135922 0.00084951456 0.002265372 0.0012135922 0.0009304207 0.004530744 0.006553398 0.0011731392 0.0012944983 0.0025080906 0.0030744337 0.00068770227 0.0009708738 0.0009708738 0.0025889967 0.001092233 0.001092233 0.00088996766 0.0015372168 0.0008090615 0.0016990291 0.0031148868 0.0028317152 0.00105178 0.0007281553 0.0012944983 0.0034385114 0.0016585761 0.0023058252 0.025728155 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.035538383 0.000615659 0.0005731997 0.0012100883 0.0005731997 0.00033967392 0.000615659 0.00048828125 0.0009341033 0.00027598505 0.0005519701 0.00044582202 0.00036090353 0.00029721466 0.0003184443 0.00033967392 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.029318105 0.00048828125 0.00072180707 0.0064962637 0.0009977921 0.00050951086 0.0013799253 0.0008067255 0.00038213315 0.00027598505 0.00023352582 0.00029721466 0.0003184443 0.00038213315 0.00040336276 0.00046705164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024668818 0.00025475543 0.0015497622 0.0027386209 0.0018469769 0.0010190217 0.0060079824 0.002122962 0.0005731997 0.00012737772 0.00019106657 0.00019106657 0.0006368886 0.00014860733 0.0003184443 0.0010827106 0.017153533 0.00033967392 0.0016559103 0.0029296875 0.0023564878 0.0014436141 0.01061481 0.004076087 0.0005944293 0.00014860733 0.00029721466 0.00021229619 0.00014860733 0.00025475543 0.00029721466 0.0009553329 0.041376527 0.0018682065 0.0024838655 0.00834324 0.0031419836 0.0032056726 0.0046492866 0.003014606 0.004628057 0.0009977921 0.001167629 0.0014223845 0.0026112432 0.001613451 0.0026112432 0.0038213315 0.06778617 0.0048191235 0.007918648 0.009723166 0.009723166 0.0076214336 0.0222911 0.011612602 0.006029212 0.0026749321 0.0033330503 0.002844769 0.00556216 0.0026961616 0.0033118206 0.005965523 0.008173403 0.0014860734 0.0013799253 0.001507303 0.00072180707 0.0028023098 0.0021441916 0.001231318 0.007472826 0.00082795514 0.00023352582 0.0011251698 0.0029509172 0.001061481 0.0034816577 0.006878397 0.07020635 0.018830672 0.025836447 0.028723676 0.021463145 0.028023098 0.035686992 0.025433084 0.03511379 0.0067085596 0.0073242188 0.007027004 0.029848846 0.007982337 0.015518852 0.027577275 0.02176036 0.008555537 0.009319803 0.011846128 0.0064325747 0.007536515 0.014478601 0.010423743 0.0074303667 0.004012398 0.0052224863 0.0045431387 0.004352072 0.0041185464 0.0044794497 0.005923064 279.0 14.232975 3971.0 0.033240996 0.0012591287 0.00050365145 0.00075547723 0.0017627801 0.0022664317 0.0022664317 0.0035255603 0.004784689 0.0012591287 0.00050365145 0.0012591287 0.0035255603 0.024678921 0.019138755 0.016620498 0.04331403 0.022160664 0.013094938 0.009821204 0.0050365147 0.011080332 0.009065727 0.004784689 0.0078065977 0.008562075 0.006799295 0.0052883406 0.006547469 0.0032737346 0.0020146058 0.0017627801 0.0042810375 0.0070511205 0.0017627801 0.018131454 0.006799295 0.0050365147 0.0035255603 0.0042810375 0.0052883406 0.0062956433 0.0012591287 0.0017627801 0.004784689 0.002770083 0.005791992 0.0012591287 0.0062956433 0.003021909 0.0040292116 0.019390581 0.008310249 0.0035255603 0.0050365147 0.0042810375 0.0017627801 0.0015109545 0.0037773862 0.0022664317 0.002770083 0.0020146058 0.0025182574 0.0052883406 0.0022664317 0.035759255 0.023167968 0.04079577 0.014857719 0.053638883 0.006799295 0.010828507 0.01536137 0.03475195 0.002770083 0.006547469 0.022160664 0.02770083 0.037018385 0.038781162 0.016620498 0.00025182572 0.04331403 0.028204482 0.056408964 0.01183581 0.003021909 0.0075547723 0.0050365147 0.015865022 0.0015109545 0.00025182572 0.0010073029 0.0 0.0012591287 0.0010073029 5.7447004 0.0 20.0 0.0 2.0 24720.0 28672.0 1.0 2.0 51.0 1.0 1.0 1.0 0.0 0.0 1534852900.0 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 5.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 7680.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 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 -7680.0 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 -2.7251408 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.939123 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8682632 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4274273 0.0 3.3728428 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1790.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3055.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7258.0 0.0 872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 111.0 15232.0 120.0 13924.0 872.0 20480.0 0.0 0.0 8848.0 15872.0 556.0 24576.0 28.0 12544.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 13576.0 0.0 0.0 224.0 12288.0 0.0 0.0 0.0 0.0


Input: 0.23161948 0.013685829 0.0055998457 0.0041912636 0.018040882 0.0035068 0.0050412402 0.002479242 0.009322156 0.0034309397 0.0022154562 0.001468925 0.0063843066 0.0021602851 0.0011413478 0.006768779 0.005244683 0.0010930733 0.0010827287 0.000993076 0.0034568012 0.0024447602 0.0018102949 0.0008603211 0.002308557 0.0012878955 0.0014896141 0.0008223911 0.0019102921 0.0006844639 0.0007137734 0.0009068715 0.007396348 0.00081549474 0.0018068467 0.00084997655 0.0022999365 0.0011223828 0.00067584345 0.0068618795 0.0012999641 0.0006086039 0.00056205346 0.001772365 0.0012292764 0.0017878817 0.0013672037 0.0006086039 0.005417092 0.0031050867 0.0030999144 0.006546371 0.0027895782 0.0033274945 0.0017482276 0.0019309812 0.0040740254 0.003053364 0.0021309757 0.0043947063 0.0024275193 0.0031206035 0.0024947587 0.003991269 0.008234256 0.0034309397 0.026707884 0.002306833 0.0019223607 0.015582329 0.004005062 0.0014275468 0.0016620231 0.0012620342 0.0010206616 0.0007517034 0.0016499545 0.0061894846 0.0017068494 0.0010258338 0.0075963424 0.002139596 0.0011758297 0.0030930182 0.0017258144 0.0036757607 0.004086094 0.0031447408 0.0014258227 0.003948167 0.0006723952 0.0011810019 0.007532551 0.0041067833 0.0024757937 0.0018602936 0.0013258255 0.004155058 0.001736159 0.0030568123 0.003570591 0.010894527 0.007320488 0.001544785 0.003987821 0.0032843922 0.0049877935 0.0010913492 0.0033361148 0.0016913327 0.0035671429 0.0037843783 0.002556826 0.00074480707 0.0043981546 0.00442574 0.0099324845 0.010163513 0.0014482359 0.0014085819 0.0018085708 0.0015516813 0.0008327357 0.000572398 0.0012103114 0.0025706186 0.0014085819 0.0012620342 0.003377493 0.0013878928 0.0007706684 0.010068688 0.0027464759 0.0075463434 0.0011154865 0.0006086039 0.0018171913 0.009375604 0.0012103114 0.024856212 0.0011085902 0.012541033 0.00068963616 0.0004999862 0.0010396265 0.00047067666 0.00034826624 0.00074308296 0.0009741111 0.0006723952 0.0004103335 0.0003930926 0.0009516979 0.00081032247 0.00053446804 0.0004810212 0.0010241097 0.00070687704 0.00045688395 0.00086376927 0.0010982456 0.0010137651 0.00037240353 0.0006654989 0.0009654906 0.0004637803 0.00036033487 0.00049308984 0.0013603073 0.00041722986 0.00040171307 0.0004275744 0.00081549474 0.0003965408 0.0004672285 0.00054653664 0.0012482414 0.00041722986 0.00032757717 0.00069480843 0.0010344542 0.0009258365 0.0011654851 0.0010465229 0.0024171746 0.0006603266 0.00062239665 0.000515503 0.0012637583 0.0012137596 0.000839632 0.0010930733 0.0076980633 0.0025499295 0.0023723484 0.0035671429 0.0030637085 0.0009396293 0.0029326777 0.0027723373 0.0026171692 0.0022464897 0.0007189457 0.0006775675 0.0018947753 0.00072239386 0.0014758214 0.0012034151 0.002498207 0.0011551406 0.0010689361 0.0006706712 0.0017499517 0.00042412622 0.0006913602 0.0007585998 0.0026051006 0.0009965242 0.0005517089 0.0012896196 0.0011103142 0.00080859836 0.00052757165 0.00063446525 0.002441312 0.0006775675 0.00066894706 0.0004982621 0.002044771 0.0014275468 0.0008258393 0.0006068798 0.015644396 0.003053364 0.00057412207 0.004108507 0.0044550495 0.00075515156 0.0006603266 0.0048171086 0.0071911807 0.0052550277 0.0010810046 0.0010603155 0.0020758049 0.0012913437 0.018225359 0.0025878598 0.0036395548 0.0014844418 0.0009413533 0.0010068688 0.0055981213 0.0028740587 0.0047964193 0.06304826 0.0017673188 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.5926438e-06 0.0051325704 7.777931e-06 6.913717e-06 5.1852876e-06 1.5555863e-05 3.4568584e-06 5.1852876e-06 1.7284292e-06 9.506361e-06 7.777931e-06 8.642146e-07 2.5926438e-06 0.0 2.5926438e-06 2.5926438e-06 0.000105434185 0.0063925954 8.2100385e-05 1.0370575e-05 5.444552e-05 1.123479e-05 5.1852876e-06 6.913717e-06 1.2099004e-05 1.7284292e-05 1.0370575e-05 5.1852876e-06 4.321073e-06 6.913717e-06 4.321073e-06 1.2963219e-05 0.00044334208 0.004123168 0.0010240943 9.506361e-06 1.2099004e-05 6.913717e-06 6.913717e-06 1.0370575e-05 6.913717e-06 1.2963219e-05 6.913717e-06 1.2963219e-05 8.642146e-06 7.777931e-06 6.049502e-06 2.8519082e-05 2.5926438e-05 0.0064885234 0.00046494746 1.0370575e-05 1.6420077e-05 7.950774e-05 6.049502e-06 1.8148507e-05 1.6420077e-05 3.975387e-05 1.6420077e-05 1.5555863e-05 1.7284292e-05 3.2840155e-05 7.777931e-06 3.1975942e-05 0.0015875623 0.0062085176 0.0008227323 4.493916e-05 8.7285676e-05 0.00028519082 2.7654867e-05 4.0618088e-05 3.1975942e-05 6.1359235e-05 2.6790653e-05 3.1975942e-05 3.8025442e-05 5.0124447e-05 2.074115e-05 0.000117533185 0.00095409295 0.015732162 0.00025926437 0.00033445106 0.0011407633 0.0044213217 0.00015642284 0.0016852184 0.00054099836 0.00028519082 8.7285676e-05 9.419939e-05 6.481609e-05 0.000102841535 9.592782e-05 0.0003716123 0.010025754 0.08175038 0.0007000138 0.008026825 0.008878941 0.019735204 0.0043841605 0.01584624 0.005685668 0.00057643116 0.0007414961 0.000402724 0.0002653139 0.00036556277 0.00033531527 0.0032848797 0.024242084 0.043728396 0.00070174225 0.005500726 0.005268252 0.0077165724 0.004675401 0.010224523 0.0030472206 0.00047704647 0.0005142077 0.00036210593 0.00042519358 0.00040445244 0.0003076604 0.0011908878 0.007491012 0.01870074 0.00060495024 0.0017483061 0.0012159499 0.004414408 0.0011934803 0.0071254494 0.0037567408 0.0006101355 0.00034136476 0.00032148784 0.00027568446 0.0003560564 0.0002428443 0.0006092713 0.0027309181 0.011418868 0.00060322176 0.0009938468 0.00058680173 0.0024172082 0.000744953 0.0045639174 0.002589187 0.00044507053 0.00025235067 0.00021086837 0.00021346101 0.000354328 0.00043383572 0.0002549433 0.00046581167 0.0063251867 0.0011303927 0.0010681693 0.012478394 0.0014847207 0.00095495716 0.001176196 0.0010880462 0.0010690335 0.0009765625 0.00087977044 0.0009048327 0.0009610066 0.00091606745 0.0010249586 0.0011900235 0.006620748 0.0009437223 0.000757052 0.0025235065 0.0017586767 0.0011874308 0.0007760647 0.0010336007 0.003958967 0.00068359374 0.0005505047 0.0011442201 0.0014786712 0.000567789 0.0014717574 0.006402102 0.05030161 0.008172877 0.0051040514 0.009217713 0.01681416 0.015842782 0.007829784 0.012544939 0.036441337 0.0028985757 0.0026704231 0.004844787 0.015156596 0.005256153 0.01661971 0.036302198 0.049000967 0.009881429 0.0058896225 0.010266005 0.0183032 0.019234825 0.008686221 0.0144669525 0.034024995 0.002907218 0.003140556 0.0056813466 0.016770948 0.0077926232 0.016783912 0.028496612 0.0030316648 0.0016895395 0.0015296598 0.001756084 0.0015123755 0.0014587942 0.001389657 0.0015166966 0.0017802821 0.0013507674 0.001533981 0.0015754632 0.0014415099 0.001542623 0.0014976839 0.0019418902 1671.0 11.922801 19923.0 0.032725994 0.0019073433 0.0037644934 0.0019575364 0.0073282137 0.0017567636 0.0019575364 0.0036139137 0.004517392 0.0021081162 0.0013552175 0.0019575364 0.004718165 0.004065653 0.0070772474 0.0019575364 0.01761783 0.013351403 0.014606234 0.012347538 0.013903528 0.01129348 0.010189229 0.009787682 0.015710486 0.012899663 0.014003915 0.01500778 0.0155097125 0.013000051 0.0111429 0.013351403 0.014305075 0.010490388 0.0022085027 0.010139035 0.013552176 0.00557145 0.006575315 0.008281886 0.0064749285 0.008432465 0.0014054108 0.0017567636 0.007528987 0.0033127542 0.00557145 0.0032123677 0.021081163 0.0043668123 0.0056216433 0.01129348 0.008733625 0.0040154597 0.008783817 0.012447924 0.008783817 0.002258696 0.002459469 0.0019073433 0.0045675854 0.0023088893 0.0027606285 0.005772223 0.006324349 0.03217387 0.007980726 0.021332128 0.021432515 0.060282085 0.008733625 0.007478793 0.015409326 0.027154544 0.0065251216 0.0032625608 0.025347589 0.009938262 0.024393916 0.032725994 0.013251017 0.002057923 0.034583144 0.024695076 0.04627817 0.015961451 0.005972996 0.003513527 0.009084977 0.008382272 0.002258696 0.0015057973 0.004166039 0.0015559905 0.0018069568 0.0019575364 6.050322 0.0 0.0 0.0 4.0 580016.0 598016.0 1.0 2.0 191.0 1.0 1.0 1.0 0.0 0.0 1507256200.0 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 0.0 0.0 0.0 0.0 0.0 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 10.0 0.0 14.0 10.0 5.0 1.0 5.0 1.0 374784.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -15360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -374784.0 -5632.0 177152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6423764 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4405682 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4442415 -5.571926 4.8030987 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15212.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9740.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -374568.0 -5422.0 176748.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 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 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 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 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 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 -1.0 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 -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 -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 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -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 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 -1.0 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 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 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 -1.0 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 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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 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 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 1.0 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 -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 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 1.0 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 -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 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 -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 -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 -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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 378544.0 200.0 394036.0 176748.0 401408.0 0.0 0.0 944.0 579072.0 15212.0 581632.0 84.0 77472.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 30640.0 0.0 0.0 816.0 393216.0 128.0 377732.0 0.0 0.0


Input: 0.11927649 0.0037804064 0.0017036936 0.0017933617 0.0021305138 0.0010688435 0.0009791754 0.0015709848 0.0021735544 0.0010473232 0.0011907922 0.0008787472 0.0015494645 0.0011907922 0.0005595288 0.0017574944 0.0015100106 0.00065637036 0.00091820117 0.0017682547 0.0026972159 0.0035078155 0.0029447 0.0026039612 0.0028012309 0.001997805 0.000803426 0.0006994111 0.0029913273 0.002370824 0.002761777 0.00211258 0.0031347962 0.01590353 0.00074603845 0.015250748 0.0019906315 0.012517665 0.00069223763 0.008217183 0.006563704 0.0047667553 0.0034970553 0.0031742502 0.0015709848 0.0013199142 0.00062408985 0.00062050315 0.0012338328 0.00081777293 0.00079625257 0.0012266594 0.0008070128 0.000803426 0.0006491969 0.00051290146 0.00083570654 0.00051290146 0.0008105995 0.011527729 0.00076397206 0.00095765514 0.018866165 0.00097558874 0.004626873 0.02296579 0.0013773018 0.0015207707 0.021262096 0.0017359741 0.0015960919 0.011983243 0.0009612419 0.00088233396 0.010806798 0.008213596 0.008715738 0.006355674 0.0052617234 0.004569486 0.004888704 0.000986349 0.0029626335 0.0011477515 0.001090364 0.0009612419 0.0013952354 0.0016965201 0.0011441647 0.0010867772 0.0004304068 0.00075679866 0.000907441 0.0016606529 0.0011298179 0.002087473 0.0005236616 0.0014454495 0.0010580834 0.0023493038 0.0022130082 0.0026649355 0.0008787472 0.0019798714 0.0027151497 0.0021735544 0.0032352244 0.0020264988 0.001972698 0.0014920769 0.0020982332 0.0018471625 0.0025860276 0.0017574944 0.0020802997 0.0024927726 0.004497751 0.0034683615 0.0011872054 0.0015458778 0.0012625266 0.0020193253 0.0008787472 0.0009038543 0.0033356526 0.0016534795 0.0035867235 0.0015207707 0.004300481 0.0015960919 0.0008105995 0.0023277835 0.0010006959 0.004110385 0.0006707173 0.0020300855 0.0014669698 0.0017826015 0.0012553532 0.0038844214 0.0067609735 0.0071770335 0.0016821732 0.0015889185 0.0013773018 0.00082135963 0.0004913811 0.0009504817 0.003436081 0.00031563165 0.0002905246 0.0002618308 0.0007890791 0.00020802996 0.00024031047 0.0029447 0.00211258 0.00025465735 0.00023672375 0.0002905246 0.0002152034 0.00048062095 0.0002761777 0.00025824408 0.00046627404 0.003346413 0.0005523554 0.0027259097 0.0013701284 0.00072451815 0.00031563165 0.00063485006 0.00044116698 0.0003084582 0.00043399353 0.0008572269 0.003877248 0.0006491969 0.0006599571 0.0003837794 0.00039812629 0.00051648816 0.0015781582 0.000803426 0.0021484473 0.0003335653 0.0005631156 0.00042323334 0.0007926659 0.00083570654 0.00046627404 0.0021950747 0.0013665416 0.00079625257 0.0007675588 0.002256049 0.0005236616 0.0008464667 0.0012804603 0.00090026757 0.0007065845 0.00088592066 0.0006312633 0.0004734475 0.00074603845 0.00076038536 0.00041964665 0.0004124732 0.00047703422 0.00036584577 0.00060615625 0.0007209314 0.00041964665 0.0016606529 0.000609743 0.0007065845 0.0043435222 0.0007711455 0.00039812629 0.0005774625 0.008532815 0.002413865 0.0004447537 0.001958351 0.007933832 0.001972698 0.0016427193 0.0072559416 0.001789775 0.0015709848 0.005835599 0.0043076547 0.004497751 0.0028191647 0.0024282117 0.0033033723 0.0028370982 0.0022130082 0.0019081369 0.0016534795 0.0012948072 0.0022524623 0.0021161668 0.0022022482 0.0026900426 0.003565203 0.003098929 0.0033607597 0.0046125264 0.0062982864 0.010821144 0.01913517 0.034905992 0.048320338 0.16965201 0.0043255882 0.044201165 2.5224861e-05 7.2071034e-06 1.8017759e-06 5.4053276e-06 9.008879e-06 3.6035517e-06 3.6035517e-06 1.26124305e-05 5.4053276e-06 3.6035517e-06 0.0 0.0 0.0 1.8017759e-06 0.0 0.0035062558 0.0 2.3423087e-05 5.4053276e-06 1.8017758e-05 7.2071034e-06 8.2881685e-05 4.6846173e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0067404434 2.3423087e-05 3.0630188e-05 3.2431966e-05 6.486393e-05 6.306215e-05 9.1890564e-05 5.0449722e-05 9.008879e-05 7.2071034e-06 2.7026637e-05 1.8017758e-05 4.6846173e-05 1.8017758e-05 3.2431966e-05 4.324262e-05 0.01311873 0.00015134917 0.0001495474 3.423374e-05 0.000297293 0.000106304775 0.00014053851 0.00022882553 0.00013873674 3.7837293e-05 0.0001189172 3.0630188e-05 4.1440842e-05 3.0630188e-05 3.0630188e-05 0.000104503 0.0 0.0 0.0001639616 0.00018558292 1.8017759e-06 0.0 0.0 0.0 0.000102701226 8.8287015e-05 4.324262e-05 0.0 0.0 7.207103e-05 1.0810655e-05 0.003021578 0.005506227 9.3692346e-05 0.0015261042 0.0014378171 0.00027927526 9.3692346e-05 0.00050990254 0.0004252191 0.00078197074 0.0006720624 0.00039098537 0.0002828788 2.3423087e-05 0.00047206527 0.00014774562 0.016877234 0.005133259 0.0001495474 0.0050882148 0.0067152185 0.0017008764 9.7295895e-05 0.0003207161 0.00083782576 0.002306273 0.0015981751 0.001012598 0.00025765394 3.2431966e-05 0.0014756544 0.0008936808 0.046181317 0.004935064 0.00024323973 0.009363829 0.0064665736 0.006897198 0.00018017758 0.0005567487 0.0008252133 0.0021729416 0.0011693526 0.0006558464 8.468347e-05 3.2431966e-05 0.004008951 0.0003657605 0.050602876 0.0037891346 0.00025765394 0.0049296585 0.0019315036 0.00492065 0.00021801487 0.001463042 0.00080359203 0.0009171039 0.00046305638 0.00040720133 9.7295895e-05 1.9819534e-05 0.0008882755 0.0012288111 0.018255593 0.0055026235 0.0027711312 0.015671846 0.0057440614 0.02555819 0.0019549269 0.0013603407 0.0028468058 0.004398135 0.001969341 0.0009891749 0.00059278426 0.00014234029 0.0020161872 0.0077224113 0.060981102 0.009316983 0.005738656 0.013259268 0.0059530674 0.034287795 0.005016144 0.0025459093 0.007403497 0.0053891116 0.0032918444 0.001181965 0.001502681 0.0003045001 0.0015225005 0.008619696 0.057028007 0.007790879 0.0019206931 0.002935093 0.0019080807 0.003279232 0.001117101 0.0012522342 0.0012846661 0.0015927699 0.00064323394 0.00046485817 0.00054773985 0.00047206527 0.00045044397 0.0013315124 0.0062197302 0.002468433 0.0026143768 0.007104402 0.0025387022 0.009475539 0.002306273 0.006124236 0.0041494896 0.0040810225 0.0007531423 0.0003873818 0.00027927526 0.00014774562 0.001567545 0.008396275 0.017716862 0.013161972 0.00959806 0.0118196495 0.004926055 0.01606103 0.006639544 0.010376427 0.0093277935 0.010798043 0.0019819534 0.0023296962 0.0050431704 0.004412549 0.007216112 0.015001586 0.02628791 0.014843029 0.008652127 0.007853941 0.0036179658 0.009589051 0.005657576 0.004884614 0.0058575734 0.0084124915 0.0015315094 0.0047206525 0.0070935916 0.0066233277 0.0043675047 0.009347613 0.015028612 0.0015783557 0.00085944706 0.0008270151 0.0006630535 0.00072611566 0.00084503286 0.0009026897 0.0006540446 0.0011747578 0.00072971924 0.00052431674 0.0006936837 0.0012666484 0.0008540417 0.0009026897 0.0015585361 3506.0 10.705933 37535.0 0.0047155987 0.0033302251 0.0019448515 0.013853736 0.0020780605 0.021819634 0.0019448515 0.014466498 0.012388437 0.010363661 0.008152391 0.0050086584 0.002557613 0.002157986 0.0020247768 0.0023977621 0.0033835087 0.0031437324 0.003490076 0.0034101505 0.002930598 0.0022379113 0.002530971 0.0018915678 0.0018915678 0.001065672 0.002690822 0.009164779 0.002530971 0.0029039562 0.015425603 0.00428933 0.008445451 0.050779272 0.008072466 0.008818436 0.06007726 0.0074330624 0.005887838 0.048248302 0.003490076 0.003090449 0.05160517 0.044704944 0.04510457 0.033328895 0.026082324 0.019848142 0.016944185 0.0020514186 0.009644332 0.0035167178 0.0047688824 0.003756494 0.004449181 0.0047155987 0.0038097776 0.0027973892 0.0012521646 0.0024776876 0.0033302251 0.007859332 0.0035433595 0.009830824 0.0018382843 0.0076994803 0.0065272413 0.014652991 0.01182896 0.013267617 0.0039429865 0.012415079 0.012361796 0.011003064 0.014333289 0.012521647 0.011056348 0.009004929 0.011509258 0.010070601 0.009244705 0.006021047 0.009218063 0.013400826 0.019555083 0.011455975 0.0043426137 0.0055414946 0.00428933 0.009164779 0.0033302251 0.0035433595 0.019421874 0.0067403754 0.020061277 0.0086852275 5.9241037 0.0 0.0 0.0 3.0 278806.0 356352.0 0.0 0.0 96.0 0.0 1.0 0.0 0.0 0.0 1051730500.0 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 24576.0 4096.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 233750.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.3535104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7886331 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.645497 0.0 6.0897474 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12724.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20714.0 0.0 307200.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 -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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 30436.0 226512.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 396.0 28672.0 0.0 0.0 0.0 0.0