Input: 0.01422461 0.0043224837 0.004017391 0.0040457807 0.0043350793 0.0038772398 0.0038666436 0.0038848373 0.0044704317 0.0038116628 0.0037880712 0.0038070644 0.0041603404 0.0037420872 0.0037208947 0.0042299163 0.0041045602 0.0037708771 0.0037906703 0.0036849072 0.0039296215 0.003916626 0.0037484851 0.0037474853 0.0038498496 0.0037604808 0.0037426872 0.0037638796 0.0038188603 0.0037552826 0.0037586815 0.0038050653 0.004059176 0.0036903054 0.0037130974 0.003765679 0.0038634448 0.0037926696 0.0036965034 0.0037544828 0.0037580817 0.0036709122 0.0037334904 0.003868443 0.003794669 0.0037234938 0.0038036657 0.0037098986 0.0037816735 0.0037790744 0.0037700774 0.004149944 0.0037292917 0.0036899056 0.0037138972 0.003739488 0.003808864 0.0038878361 0.0037274924 0.003974606 0.00379107 0.0037560824 0.003765879 0.0037724767 0.004039783 0.004058576 0.0039132275 0.004518615 0.0040837675 0.004467233 0.0039726063 0.0038068646 0.0038058648 0.0037564822 0.0037366892 0.0037750758 0.0037838726 0.004142347 0.0038076644 0.003759881 0.004196328 0.0038178607 0.0038216594 0.003965009 0.0038472505 0.0039504142 0.0040637744 0.0039806035 0.0037790744 0.0040333853 0.0037364892 0.003860046 0.0037558824 0.0040323855 0.003890835 0.0038262578 0.0037554826 0.0038642443 0.0037536833 0.0038108632 0.003854048 0.004147345 0.0038714418 0.003774276 0.003931821 0.0039032307 0.0040807687 0.0037156965 0.0038290569 0.003757282 0.0038756405 0.0038586464 0.0038478503 0.003722894 0.0039730063 0.0038932343 0.004492424 0.004687356 0.0038158614 0.0038020662 0.0037530835 0.0037332904 0.0037300915 0.0037210947 0.003745486 0.003971207 0.003802666 0.003740088 0.0038964332 0.0038640446 0.0037224942 0.004563799 0.0038764402 0.004396258 0.0037292917 0.0036989024 0.0037938692 0.0043914593 0.0037920699 0.005818559 0.0037450863 0.0044018556 0.0037210947 0.0037070995 0.00373469 0.0037023013 0.0037174958 0.0037198951 0.0037174958 0.0037610806 0.0037033008 0.0036939043 0.0037218945 0.0037388883 0.0036877063 0.0036929045 0.003716896 0.0037178958 0.0037576817 0.0037358894 0.0037350897 0.003737489 0.0036979027 0.0037308913 0.0037460858 0.003774476 0.0036989024 0.0037194951 0.0037358894 0.0036793093 0.0036819084 0.0036923047 0.0036931045 0.0037750758 0.0037078992 0.0037338901 0.0037236938 0.0037412876 0.0036701125 0.003743087 0.003711098 0.003768078 0.003831656 0.0037896705 0.003857047 0.0037047004 0.0037051002 0.0036497198 0.0037610806 0.0037049004 0.003739488 0.00376228 0.0041949283 0.0039490145 0.0038736411 0.003988401 0.0039042304 0.003646321 0.0039242236 0.003910628 0.0038462507 0.0037920699 0.003757482 0.0037854721 0.003805665 0.003694304 0.0037816735 0.0037868717 0.0038100635 0.0037452863 0.0037634799 0.0037416874 0.0037388883 0.003686107 0.0037238935 0.003708899 0.003859646 0.0037212945 0.0037362892 0.0037670785 0.0037390883 0.0037258929 0.0036961033 0.003739488 0.003916826 0.0036805088 0.0037404879 0.003754283 0.003871242 0.0037290917 0.0037350897 0.0037035008 0.004908278 0.0039488147 0.0036903054 0.0040487796 0.0040699723 0.0036967031 0.0037640797 0.0037134972 0.003996198 0.0037662787 0.0037672785 0.003808464 0.003851649 0.0037132974 0.0039138272 0.0038142619 0.004035584 0.0037630799 0.0037332904 0.0038722416 0.0041261525 0.003970407 0.0039686076 0.0076529155 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018169302 2.5999002e-06 9.999616e-07 2.0999194e-06 7.9996926e-07 6.999731e-07 7.9996926e-07 2.0999194e-06 5.9997697e-06 6.999731e-07 1.0999578e-06 7.9996926e-07 6.999731e-07 7.9996926e-07 2.1999156e-06 6.999731e-07 0.00034608672 6.799739e-06 6.4997503e-06 2.499904e-06 8.199685e-06 4.7998155e-06 6.5997465e-06 6.399754e-06 1.0299605e-05 6.999731e-07 2.2999118e-06 1.0999578e-06 1.0999578e-06 1.6999347e-06 1.2999501e-06 3.199877e-06 0.00032388757 8.699666e-06 9.599631e-06 1.5999385e-06 1.7899312e-05 5.599785e-06 8.499674e-06 6.6997427e-06 7.0997276e-06 2.499904e-06 2.8998886e-06 1.5999385e-06 2.6998964e-06 2.1999156e-06 9.999616e-07 7.0997276e-06 0.00029878854 2.8998886e-06 6.399754e-06 6.9997313e-06 2.4899044e-05 8.8996585e-06 2.2699129e-05 1.0399601e-05 8.399677e-06 1.4999424e-06 1.5999385e-06 8.999654e-07 1.7999308e-06 1.6999347e-06 9.099651e-06 2.5999002e-06 0.0014048461 5.359794e-05 5.779778e-05 1.7099343e-05 0.00016969348 1.4699435e-05 5.7397796e-05 3.2398755e-05 1.1099573e-05 2.1699167e-05 9.599631e-06 5.0898045e-05 3.3198725e-05 3.279874e-05 1.6499367e-05 0.00026938965 0.0020032232 5.129803e-05 0.00016589362 6.0297683e-05 0.0002679897 0.00012419523 0.0003488866 0.00018099305 2.3599094e-05 2.0099229e-05 1.7299335e-05 2.1499174e-05 2.8998886e-05 1.7899312e-05 1.769932e-05 0.00013159495 0.0013231492 2.8998886e-05 7.489712e-05 5.46979e-05 0.00032408757 0.00014739434 0.00057737785 0.00029028885 2.5499021e-05 1.8099305e-05 2.1699167e-05 2.2699129e-05 2.2699129e-05 1.6299375e-05 2.809892e-05 9.589632e-05 0.00074857124 2.1599171e-05 0.00011099574 5.359794e-05 0.0001848929 7.02973e-05 0.00046458215 0.0002581901 1.7799317e-05 9.499635e-06 1.0999577e-05 1.1499558e-05 1.4399447e-05 1.2399524e-05 1.3199493e-05 4.5398257e-05 0.0004328834 2.7298951e-05 2.939887e-05 3.5298646e-05 0.00012849507 4.5198263e-05 0.00011609554 6.439753e-05 3.179878e-05 1.249952e-05 1.0699589e-05 1.4099459e-05 1.7799317e-05 1.0999577e-05 1.5699397e-05 3.1298798e-05 0.00041138422 3.589862e-05 3.939849e-05 3.619861e-05 9.309642e-05 7.1397255e-05 5.2697975e-05 5.4997887e-05 0.0001925926 2.939887e-05 2.8498906e-05 4.8198148e-05 6.199762e-05 3.539864e-05 9.789624e-05 0.0003492866 0.0038601519 0.00069657323 0.0004352833 0.00066307455 0.0014715435 0.0013962464 0.00048388142 0.0011109574 0.002735395 0.00020229223 0.00019059268 0.00036848584 0.0011906542 0.00035528635 0.0013426484 0.0029521866 0.00391065 0.00085566717 0.00049388106 0.00085966696 0.0016104381 0.0016432368 0.0006439753 0.001382147 0.0027221956 0.0002188916 0.00025859007 0.000365186 0.0013698475 0.00047998157 0.0013233492 0.0027510943 0.058988135 0.059161328 0.058971535 0.059048332 0.059131328 0.059027735 0.059000634 0.059036434 0.05933282 0.058987234 0.058988534 0.058960535 0.058898337 0.058943536 0.05910993 0.05911973 22828.0 5.900517 134697.0 0.012405622 0.009317208 0.009792348 0.009673564 0.009547355 0.009413721 0.009591899 0.009732956 0.009851742 0.009109334 0.009666139 0.009361752 0.009822045 0.009859165 0.0105793 0.009087062 0.009658716 0.009977951 0.009651291 0.010163552 0.009339481 0.009510234 0.009814621 0.00930236 0.009532507 0.00994083 0.00994083 0.009673564 0.0097775 0.009688412 0.009532507 0.009903709 0.011047017 0.011403372 0.010170977 0.011136105 0.010163552 0.010052191 0.010809447 0.010690661 0.009762652 0.009680987 0.00922812 0.010007647 0.010007647 0.010074464 0.01001507 0.009190999 0.011150953 0.01026749 0.010378851 0.012851066 0.010497635 0.009874013 0.012056691 0.0123313805 0.009881438 0.009666139 0.0093097845 0.009911134 0.008975701 0.009970526 0.01001507 0.009955678 0.009799773 0.0129550025 0.01034173 0.011908209 0.0113811 0.017431717 0.009948255 0.010059616 0.010750053 0.013519232 0.01010416 0.009354329 0.01225714 0.010571877 0.012702584 0.013548928 0.011017321 0.009421146 0.013652866 0.011574126 0.015486611 0.01090596 0.010564452 0.0101412805 0.010453091 0.009844317 0.009250391 0.009844317 0.009577051 0.009851742 0.009525082 0.00950281 6.573442 1.0 0.0 0.0 75.0 5001754.0 75886590.0 1.0 0.0 310.0 0.0 1.0 0.0 0.0 0.0 1417576400.0 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 206848.0 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 52736.0 0.0 0.0 0.0 0.0 0.0 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 -206848.0 0.0 75581950.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.7357926 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7725184 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.606285 0.0 7.999849 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52396.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -206346.0 0.0 75581600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -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 2.0 -1.0 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 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 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 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 0.0 0.0 1.0 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 -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 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -2.0 1.0 1.0 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 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 -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 -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 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 -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 -1.0 1.0 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 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 -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 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 258420.0 75581600.0 303104.0 0.0 0.0 6336.0 75851780.0 0.0 0.0 28.0 214432.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 241232.0 0.0 0.0 1288.0 212992.0 0.0 0.0 0.0 0.0


Input: 0.26036468 0.012949945 0.008331368 0.0076355143 0.008383262 0.0064749727 0.005960749 0.006215502 0.007411426 0.00435439 0.004913431 0.004377978 0.0058899843 0.0044345898 0.0048992783 0.0049747606 0.006423079 0.00405246 0.0039557484 0.0035500308 0.0048662545 0.0036608954 0.0033353777 0.0034273718 0.004389772 0.003087701 0.0033636836 0.003288201 0.003936878 0.0028140775 0.0029249422 0.0031796952 0.006349955 0.0035382365 0.0031466717 0.0027975657 0.0041208663 0.002915507 0.0029485305 0.0030829834 0.0034037835 0.002752748 0.0026489599 0.0028235128 0.0029791952 0.002686701 0.0030711894 0.0028022833 0.0040477426 0.0028423835 0.0029060717 0.0067769024 0.0035405953 0.0022385244 0.002363542 0.0029461717 0.0036703306 0.002875407 0.0024201537 0.0034509602 0.0033141482 0.002377695 0.0021677597 0.0028706891 0.0041373777 0.0032386659 0.003264613 0.0038283719 0.0036042836 0.0030664718 0.003196207 0.0028801246 0.004083125 0.0026914186 0.0023706185 0.002460254 0.0031325188 0.0025876304 0.0025805538 0.0025758361 0.0035571072 0.002000283 0.0023847714 0.002804642 0.0033259424 0.0026961362 0.0024248715 0.002415436 0.0030971363 0.0020191537 0.0022621125 0.002460254 0.0027952068 0.0019106477 0.0021064302 0.002363542 0.0032315894 0.0033330189 0.0020757655 0.0023942068 0.0032528187 0.003453319 0.0030334482 0.002363542 0.0031372365 0.0037929895 0.0021748361 0.0019672594 0.0031513893 0.0026819834 0.00300986 0.003264613 0.0034556778 0.0016983536 0.0031844128 0.0027362362 0.004701137 0.00357126 0.0021842713 0.0024744067 0.002832948 0.0023258007 0.0014954946 0.0016889182 0.0025711185 0.001894136 0.0019837713 0.005052602 0.0046044253 0.0029320186 0.002323442 0.0033636836 0.0028895598 0.002566401 0.0022904184 0.0022786243 0.0028659715 0.0030593951 0.0017030712 0.003519366 0.0021418126 0.0026489599 0.0016157947 0.0021111479 0.0034202954 0.0024107185 0.0020403832 0.0018422419 0.0021819125 0.0017478889 0.0018210124 0.0017903477 0.0019248007 0.0026348068 0.001771477 0.0014601123 0.0023116479 0.0014553947 0.0017691182 0.0017620418 0.002283342 0.0021441714 0.0018351653 0.0015827712 0.0022621125 0.0017667594 0.0018752654 0.0018021418 0.0018493183 0.0015827712 0.0027291598 0.0014082182 0.0019554654 0.0014954946 0.0014601123 0.0016724064 0.0031136482 0.0015922064 0.0014388829 0.001476624 0.0023163655 0.0015143652 0.0021017124 0.00186583 0.0027598245 0.001839883 0.0018115771 0.001599283 0.0019318771 0.0013869887 0.0016134359 0.0023470302 0.003653819 0.002363542 0.002403642 0.0024343068 0.0022668303 0.0015497477 0.0024107185 0.0021677597 0.0027338774 0.0021724773 0.0015096476 0.0015521065 0.0021040714 0.0014506769 0.0014789829 0.0020380241 0.002792848 0.0015002122 0.001988489 0.001839883 0.0021630418 0.0011794121 0.0018917772 0.0018328065 0.002715007 0.0016134359 0.0017950654 0.0018870595 0.0021913478 0.0015945652 0.0019483889 0.0019413125 0.003448601 0.0019389536 0.001693636 0.0014506769 0.003222154 0.0012784828 0.0015827712 0.0019554654 0.0024862008 0.0016157947 0.0014506769 0.0033849129 0.0022857008 0.001759683 0.0015591829 0.0019672594 0.0037410955 0.0016157947 0.0017431712 0.0019672594 0.0023800537 0.0013516063 0.0019649006 0.0023022126 0.0033094306 0.0015662594 0.0018634712 0.002000283 0.0028117187 0.0020167949 0.0033188658 0.030933622 0.031434435 0.0 2.3645582e-06 1.6551907e-05 0.0 0.0 0.0 0.0 1.1822791e-06 0.0 0.0 0.0 1.1822791e-06 0.0 1.1822791e-06 2.0098743e-05 0.004600248 2.482786e-05 1.6551907e-05 3.5468372e-06 1.5369627e-05 4.7291164e-06 8.275953e-06 1.3005069e-05 2.3645582e-06 2.3645582e-06 1.1822791e-06 1.1822791e-06 4.7291164e-06 3.5468372e-06 5.9113954e-06 0.00013477981 0.0131079275 7.566586e-05 6.502535e-05 6.502535e-05 3.428609e-05 2.7192418e-05 3.428609e-05 5.320256e-05 6.857218e-05 4.7291164e-06 2.482786e-05 1.8916466e-05 4.7291163e-05 5.9113954e-06 8.394181e-05 0.0008110434 0.0042526578 8.157726e-05 2.8374698e-05 4.0197487e-05 1.6551907e-05 1.8916466e-05 2.0098743e-05 1.1822791e-05 1.8916466e-05 3.5468372e-06 1.0640511e-05 7.0936744e-06 1.8916466e-05 9.458233e-06 3.1921536e-05 0.0002719242 0.01799547 0.0002884761 0.00021162795 0.00021162795 0.00011349879 7.803042e-05 0.00015724312 0.0002199039 0.00024709632 4.6108882e-05 0.00011113423 7.0936745e-05 0.00017261274 9.5764604e-05 0.00017024818 0.0016019881 0.033710323 0.0011397171 0.0005190205 0.0007341953 0.00040315714 0.00045281288 0.00033458497 0.0005142914 0.00034759004 0.0003097571 0.00023409125 0.00015133173 0.0002766533 0.000101676 0.0002825647 0.004071769 0.024629237 0.0007164611 0.0005024686 0.0008015852 0.00037005334 0.0007377421 0.00040906854 0.0005249319 0.00029084066 0.0004989218 0.0002979343 0.0002092634 0.00012768614 0.00011468107 0.00023882037 0.0034286093 0.061476145 0.0029982596 0.0035811232 0.0025052493 0.0018869174 0.0013974538 0.005421932 0.0034463434 0.0008240485 0.001025036 0.0009860208 0.0005899572 0.00041970907 0.00038778753 0.00055567117 0.0069293375 0.051744808 0.0042644804 0.0029793433 0.0030301812 0.0016752895 0.0015097704 0.0021080035 0.0017663249 0.0006112383 0.0010120309 0.0008701574 0.0007341953 0.0005131091 0.0005261142 0.0006348839 0.0083445255 0.04412029 0.004775225 0.0035480193 0.006177408 0.0021091858 0.0015617906 0.0016622844 0.0019519427 0.0013797197 0.000987203 0.0010037549 0.0006407953 0.0006206965 0.0005923218 0.0006218788 0.008150632 0.0074885557 0.0011089777 0.000813408 0.0014944007 0.00074838265 0.0005308433 0.0015783425 0.0010155777 0.00033576725 0.00016078995 0.00014423805 8.157726e-05 0.00011231651 0.00015133173 0.0001300507 0.0010545929 0.0016220869 0.00020453427 0.00020098744 0.00017852413 0.00038660524 0.00024709632 0.00090562575 0.00054266606 9.103549e-05 4.6108882e-05 3.901521e-05 7.448358e-05 7.566586e-05 7.33013e-05 6.502535e-05 8.985321e-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 0.0008796156 0.00017143047 0.000120592464 7.684814e-05 0.00011349879 0.00010640512 0.00011349879 0.00011822791 0.00015133173 7.0936745e-05 6.384307e-05 7.0936745e-05 9.2217764e-05 8.039497e-05 9.458233e-05 9.694688e-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 0.059550215 0.044534087 0.039572064 0.03556532 0.041876324 0.034007076 0.03344431 0.0336784 0.03864161 0.028248193 0.025980582 0.028119326 0.031878974 0.0288015 0.030235605 0.03003107 2448.0 7.6441994 18713.0 0.014802543 0.010794635 0.013306257 0.007962379 0.012237482 0.007267675 0.0092449095 0.010420564 0.0115427775 0.008443329 0.009298349 0.00748143 0.00967242 0.011916849 0.009832737 0.009298349 0.016619463 0.010954951 0.010954951 0.0705392 0.0113824615 0.008229573 0.007748624 0.007214236 0.015016299 0.0071073584 0.009458665 0.012558115 0.0092449095 0.0078020627 0.006519532 0.0117030945 0.010153369 0.012184043 0.012237482 0.014802543 0.01277187 0.012077166 0.012664992 0.009405226 0.011916849 0.00967242 0.007641746 0.007962379 0.010260247 0.008229573 0.00790894 0.008603645 0.0118634105 0.0066264095 0.0063592154 0.0120237265 0.012611553 0.008603645 0.0073211137 0.009298349 0.008550206 0.008122696 0.007267675 0.00571795 0.009618982 0.005664511 0.0071073584 0.007534869 0.008496767 0.012504676 0.006466093 0.011061829 0.011970288 0.017741676 0.00790894 0.0078020627 0.010687757 0.015336932 0.00529044 0.006733287 0.015497248 0.008977716 0.011756533 0.013039064 0.010260247 0.005664511 0.012825308 0.0120237265 0.02110832 0.010527441 0.00529044 0.0071607972 0.0078020627 0.006840165 0.0026719393 0.0034200824 0.0066264095 0.0039010313 0.00395447 0.0192914 6.398329 0.0 0.0 0.0 7.0 423940.0 1011712.0 0.0 0.0 11.0 0.0 1.0 0.0 1.0 0.0 1520528000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 1.0 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 0.0 0.0 0.0 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 241664.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -240640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 182272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9221716 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.7272518 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -241664.0 0.0 0.0 0.0 0.0 0.0 581632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708.0 1008508.0 181116.0 827392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 825808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.110424004 0.0070104697 0.0060714004 0.006054848 0.006553625 0.0045309286 0.006199405 0.0061056083 0.006932122 0.00463576 0.004850941 0.004257263 0.006082435 0.0044558914 0.005313303 0.005546139 0.0063715493 0.004355474 0.0039328374 0.0038158672 0.005149986 0.003641516 0.004004564 0.004093947 0.0051797805 0.003429646 0.0034241285 0.0033921273 0.0046456917 0.0033071586 0.0036547577 0.0039295265 0.0066198343 0.00458831 0.0034627507 0.0036878625 0.004703073 0.0039284234 0.0036812415 0.0042936783 0.004058635 0.00369338 0.003254191 0.009110411 0.0040641525 0.0033524015 0.0031791537 0.0038589034 0.0046092765 0.0029187303 0.0032243968 0.0029584558 0.0040144953 0.0027432754 0.0033204004 0.0032012234 0.0037684173 0.0035344774 0.0025247843 0.0033005376 0.0041954676 0.0025137495 0.0025269913 0.0030875641 0.005593589 0.0040365653 0.004099464 0.0040840153 0.0041016713 0.003472682 0.0036966903 0.0038611104 0.00503412 0.003585238 0.0034219215 0.0033535052 0.0039891154 0.0036569647 0.0036426194 0.003792694 0.00482225 0.002943007 0.0030875641 0.0036988973 0.0039703557 0.0031537735 0.0034086795 0.0035631682 0.00432899 0.0025634065 0.0030268722 0.0030191478 0.0034528193 0.0025181635 0.0029739046 0.0030566663 0.0043753367 0.00352896 0.0032122585 0.0028701767 0.0039493893 0.0029187303 0.0030743221 0.005303371 0.0040840153 0.0036216532 0.0025369227 0.0026914114 0.003842351 0.0030345966 0.0027973463 0.0032343282 0.0040498073 0.0023669854 0.0039383546 0.0029054882 0.004300299 0.0036988973 0.0025987183 0.0032321212 0.003323711 0.0038213849 0.0018395173 0.0024078144 0.003053356 0.0023747098 0.0023085005 0.0028447963 0.005275784 0.00364593 0.0034020587 0.00397808 0.0039802874 0.00336454 0.0030665977 0.0032166725 0.0036768275 0.0034395773 0.0024872657 0.003968149 0.003251984 0.00320012 0.0023603644 0.0026340298 0.0079109175 0.0032188795 0.003578617 0.002812795 0.0028591417 0.0026583066 0.0023250529 0.0028470033 0.0027002392 0.0022202213 0.0022588433 0.0023129145 0.0035190287 0.0019906955 0.0024762307 0.0024983005 0.0033744713 0.002821623 0.0021054584 0.002300776 0.0034881309 0.0023901586 0.0022776027 0.002852521 0.0028249335 0.0023581574 0.001960901 0.0022820167 0.0029396964 0.002460782 0.002028214 0.0025336123 0.0040641525 0.0023702958 0.0021120792 0.0022136003 0.0032883992 0.002395676 0.0025788553 0.0028183127 0.003457233 0.0023647784 0.002337191 0.0027565171 0.0032398456 0.0019873849 0.002251119 0.002474024 0.007066748 0.0035609612 0.008244172 0.0037717277 0.00357641 0.002465196 0.0028635557 0.002925351 0.0047284532 0.0035775136 0.0020182827 0.0022974655 0.0024574716 0.0021507014 0.0018571732 0.002821623 0.003531167 0.0022069793 0.002562303 0.0024398158 0.0029264546 0.0019620047 0.0024056076 0.002663824 0.003531167 0.0023846412 0.0024464366 0.0025391297 0.0029374894 0.0021827025 0.002242291 0.0024707133 0.0042539528 0.0024971971 0.0020436628 0.0019973163 0.0055262763 0.0020580082 0.0017159265 0.0026252018 0.0030864605 0.0020690432 0.001714823 0.0037441405 0.00315267 0.0023151212 0.0019796605 0.0027509998 0.0041998816 0.0020900094 0.0057226974 0.0024839554 0.003137221 0.0018119301 0.0023813308 0.005094812 0.0039129746 0.0023151212 0.001868208 0.0022003583 0.0030268722 0.0018880708 0.017313752 0.007882227 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0021300786 4.423839e-06 7.188739e-06 4.976819e-06 2.2119195e-06 0.0 5.529799e-07 1.6589397e-06 1.6589397e-06 3.3178794e-06 3.3178794e-06 7.741719e-06 3.0413894e-05 1.6589397e-06 6.082779e-06 5.9721828e-05 0.0010528737 3.8708595e-06 7.188739e-06 2.2119195e-06 1.6589397e-06 3.8708595e-06 3.8708595e-06 3.3178794e-06 1.6589397e-06 1.6589397e-06 2.7648996e-06 2.2119195e-06 1.3824498e-05 2.2119195e-06 3.8708595e-06 2.5437075e-05 0.0019907276 1.3824498e-05 3.4284752e-05 1.0506618e-05 1.0506618e-05 1.1059598e-05 2.3778135e-05 7.188739e-06 7.741719e-06 9.953638e-06 8.294698e-06 7.188739e-06 3.0413894e-05 5.529799e-06 6.635759e-06 8.737083e-05 0.0018386581 1.9907277e-05 1.4930457e-05 9.400658e-06 3.3178794e-06 1.0506618e-05 1.1059598e-05 1.6036418e-05 1.2718538e-05 4.423839e-06 6.635759e-06 9.400658e-06 5.750991e-05 8.294698e-06 1.8801316e-05 0.00022340388 0.0085999435 9.013572e-05 0.00030579788 5.585097e-05 3.8708593e-05 3.8155613e-05 0.00012442048 3.9261573e-05 5.9721828e-05 8.847679e-05 4.589733e-05 5.419203e-05 0.00050487067 3.4284752e-05 5.363905e-05 0.0011916717 0.010933518 0.00020515555 0.00040312234 0.00015096352 0.00026377142 9.124168e-05 0.0002455231 0.00011170194 0.00021400322 0.00012884432 7.6864206e-05 6.8569505e-05 0.0005319667 5.032117e-05 0.00020239064 0.0021770818 0.021159222 0.0003660727 0.001594241 0.00022395686 0.0001841423 0.00017142377 0.0006514103 0.00016257609 0.00019851979 0.0006215494 0.00014377477 0.00020294363 0.002422052 0.00010119532 0.0002311456 0.0055408585 0.019875204 0.00042966538 0.0021649164 0.00020017872 0.00019686084 0.00019298999 0.0008361056 0.00017252973 0.00021621514 0.0008377645 0.00019741383 0.00031243364 0.0028478464 0.00015372841 0.00020681448 0.0062669213 0.014233703 0.0005303077 0.002094688 0.0004379601 0.0005142713 0.000440172 0.0014543372 0.00040367534 0.00025381777 0.00096992677 0.000192437 0.00025768863 0.001787784 0.00015538734 0.00022893368 0.0043574814 0.014515169 0.0007526056 0.0025525552 0.0008228341 0.0007896553 0.0007249566 0.0024436181 0.000771407 0.00039980447 0.0011446684 0.00031575153 0.0005457912 0.0018369992 0.00028423168 0.00030635088 0.0046361834 0.0070825666 0.00067850633 0.00074486394 0.0004567614 0.0004235826 0.00036939056 0.0008051387 0.000357225 0.00039261574 0.00032957603 0.00022450984 0.0003522482 0.0005308607 0.0002881025 0.0003660727 0.001320516 0.002338552 0.0002565827 0.00029639722 0.00025990055 0.0003351058 0.00024607606 0.00030137404 0.00020957938 0.00018082443 0.00014543372 0.00015096352 0.00013658604 0.00015870522 0.00015815225 0.0001786125 0.00030966874 0.0019188402 0.00024607606 0.00034671839 0.000220086 0.0002781489 0.00018911912 0.0003688376 0.00028091378 0.000192437 0.0001564933 0.00019133104 0.00019077807 0.0002173211 0.00017695357 0.00018856615 0.00049989385 0.000742099 0.00026321842 0.00017031781 0.00022616878 0.00018635423 0.00015428138 0.0002532648 0.00018469528 0.00015041053 0.00025492374 0.00010949002 0.00013658604 0.000121655576 0.00014432776 0.000119443655 0.00018027144 0.08562064 0.0625647 0.058892913 0.04926498 0.060287528 0.05101516 0.047572307 0.04639446 0.052750412 0.04357758 0.03939152 0.04049748 0.045391906 0.03993897 0.041475706 0.04057324 5255.0 6.607041 34720.0 0.028629033 0.010397466 0.009792627 0.010973502 0.012039171 0.008986175 0.008179723 0.012240783 0.009936636 0.013940092 0.0078052995 0.007114055 0.008352535 0.009965437 0.009043779 0.012269585 0.016618663 0.010138249 0.011981566 0.011463134 0.010339862 0.0078052995 0.008813364 0.00875576 0.010426267 0.011808756 0.007373272 0.007373272 0.0105702765 0.005990783 0.007891705 0.00734447 0.014084102 0.010858295 0.010771889 0.011232719 0.012125576 0.008554148 0.011203917 0.009302995 0.013047235 0.009475807 0.0076324884 0.007891705 0.010138249 0.016215438 0.012269585 0.013306452 0.020103687 0.0072292625 0.007891705 0.010541474 0.0111463135 0.007603687 0.00843894 0.009331797 0.011491936 0.0056451615 0.0069124424 0.010138249 0.008928572 0.0048675113 0.008266129 0.008957373 0.010829493 0.012327189 0.020708526 0.0125 0.014660139 0.015322581 0.013364055 0.008698157 0.011261521 0.0125864055 0.0061923964 0.007373272 0.013364055 0.010656682 0.011779954 0.013565668 0.0125864055 0.0057891705 0.016849078 0.01296083 0.017050691 0.009562212 0.006653226 0.00734447 0.009677419 0.011376728 0.005328341 0.0067684334 0.0069412445 0.005184332 0.0052131335 0.0055587557 6.5048075 0.0 7.0 0.0 15.0 906216.0 3018752.0 0.0 0.0 13.0 0.0 1.0 1.0 1.0 0.0 1518608400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 708608.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -707584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 193024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.926675 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.6038723 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -708608.0 0.0 0.0 0.0 0.0 0.0 2109440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 196608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 124.0 2342912.0 812.0 3013860.0 191716.0 2822144.0 0.0 0.0 4584.0 901632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2821016.0 0.0 0.0 0.0 0.0 0.0 0.0 2624.0 2338816.0 0.0 0.0


Input: 0.32571632 0.008542847 0.0047177467 0.0024769092 0.0027849092 0.0014108977 0.0020914483 0.0020029214 0.001988167 0.0013334366 0.0015473766 0.0012301552 0.0013371252 0.0012338439 0.0008815805 0.0020619393 0.0015344665 0.0015805742 0.0007248141 0.0012393767 0.0014072091 0.012246223 0.0008539158 0.0008981793 0.0013998318 0.0007801434 0.001110275 0.0009000236 0.001091832 0.0008981793 0.000730347 0.0015768856 0.0025433043 0.00076538895 0.00092215533 0.0008317841 0.0015713527 0.0011582271 0.00086682604 0.0007930536 0.0014459395 0.00094059843 0.0009000236 0.000706371 0.0014533168 0.0011158079 0.0013721671 0.0007266584 0.0023920708 0.0024142028 0.0022113286 0.0025119511 0.0023773164 0.0021412447 0.0021633764 0.0021117358 0.0023957596 0.0022961667 0.0030763103 0.0021025143 0.0023109212 0.0020527178 0.0018553765 0.0032552083 0.0020158316 0.004701148 0.017616855 0.002707448 0.0028494599 0.004647663 0.0022371488 0.0021338675 0.001573197 0.002997005 0.0011434726 0.0016930772 0.0033935315 0.001875664 0.0033713998 0.0036277592 0.0028217954 0.0012154008 0.0035373878 0.003146394 0.0059331474 0.0017594724 0.0012854845 0.0019439034 0.0013813887 0.0014256522 0.001252287 0.0012024905 0.001923616 0.0014846701 0.0012559756 0.001787137 0.0030947533 0.0031021305 0.0013334366 0.001709676 0.0063425843 0.004160765 0.002535927 0.0017336521 0.0017520952 0.0029398312 0.0015160234 0.0016156161 0.0024086698 0.001870131 0.002891879 0.0029951606 0.0023182984 0.0011508499 0.0028863463 0.0026023223 0.0034119748 0.0019973884 0.0012910175 0.001661724 0.0015547539 0.001490203 0.0011822032 0.0012283109 0.002320143 0.0012596642 0.0015547539 0.0013260593 0.005401986 0.0012024905 0.0016303706 0.004660573 0.009488978 0.0034820586 0.0015270893 0.001549221 0.0018092687 0.0044927406 0.0023920708 0.0053448123 0.0023219872 0.00315746 0.0013924546 0.001335281 0.0026576517 0.0012688858 0.001626682 0.0014791371 0.0021559992 0.0019033286 0.0013777 0.0014883587 0.0017539394 0.0030025379 0.0014772929 0.0015639755 0.0015824186 0.0016506581 0.0013629455 0.0016691012 0.0020102987 0.0025322386 0.0022113286 0.0014551611 0.0021467777 0.0017428736 0.0016229934 0.0016598796 0.0021006698 0.0016008617 0.0016709454 0.0014920473 0.0019162388 0.0014828257 0.0014846701 0.0014865143 0.0023680949 0.0020453406 0.0017188975 0.0031648371 0.0020158316 0.001460694 0.0016820113 0.0015547539 0.00837317 0.003253364 0.002154155 0.0081389425 0.0021154243 0.0018664424 0.0017299635 0.0016838557 0.0028605259 0.001656191 0.0017742269 0.002535927 0.0018295562 0.0020084544 0.0019512806 0.002137556 0.0021412447 0.0019107058 0.001704143 0.001597173 0.0025617476 0.0014404067 0.0017078316 0.0013998318 0.002226083 0.0015824186 0.0015473766 0.0014274964 0.0021209572 0.0016635682 0.0015326221 0.0014994246 0.0019992327 0.0015307779 0.0016156161 0.0018775082 0.0016469695 0.0016912329 0.0017318077 0.0018277118 0.0025230169 0.0017336521 0.0017742269 0.0015344665 0.0020748496 0.0017557838 0.0019789455 0.0016359036 0.004367328 0.002274035 0.0017336521 0.0023717836 0.0020471849 0.0020582506 0.0017520952 0.0020361189 0.0033640226 0.001982634 0.0020877598 0.0018184903 0.0026262985 0.001947592 0.002078538 0.0023976038 0.003948669 0.0021098915 0.0023976038 0.0027000709 0.003871208 0.0027037594 0.0061009796 0.10303426 0.0018865411 0.0 0.0 0.0 9.247751e-07 9.247751e-07 3.6991005e-06 1.8495502e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0066454336 0.00021639737 4.3464428e-05 6.195993e-05 4.161488e-05 3.6066227e-05 3.0517578e-05 3.0517578e-05 0.00017293294 3.0517578e-05 2.2194603e-05 2.4044153e-05 2.7743254e-05 2.2194603e-05 2.6818478e-05 0.00014334013 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007604426 0.00017755682 0.000108198685 7.860588e-05 0.00011374734 6.843336e-05 0.00010727391 8.600408e-05 0.0002857555 9.432706e-05 0.00012114554 8.045544e-05 7.2132454e-05 7.3057236e-05 5.5486507e-05 0.00034309155 0.01841782 0.0004124497 0.00029222894 0.00071577594 0.00064919214 0.00042169745 0.00024599017 0.00025153882 0.00035603842 0.00016645952 0.00033569336 0.0002413663 0.00032829517 0.00033199426 0.0002783573 0.001176314 0.029926647 0.0006750858 0.0005678119 0.0009793368 0.0029204397 0.0018541741 0.0013927113 0.00074721826 0.0008156516 0.00068895746 0.000505852 0.00044666638 0.00070745294 0.0003745339 0.00043649384 0.004309452 0.030746922 0.00096361566 0.00093494763 0.0013057825 0.0062505547 0.0043529165 0.0037471887 0.0022361062 0.00123365 0.000921076 0.0005927808 0.00065196643 0.0007805102 0.00066861237 0.0010829116 0.0060304585 0.019746723 0.00057428534 0.0012040571 0.0010043058 0.00394694 0.0027475068 0.0039534136 0.0021066377 0.0009978323 0.0014972109 0.0011864865 0.0012068315 0.0014685428 0.0013289019 0.0019716206 0.011876887 0.044276383 0.002630985 0.0022786458 0.0027105159 0.011379357 0.006731438 0.009697191 0.004875414 0.0041124746 0.0020751953 0.0021556506 0.005539403 0.0025570032 0.0023211855 0.0033217922 0.018337365 0.056341924 0.0054247305 0.003260757 0.020429207 0.007963238 0.0044842344 0.006398519 0.004856919 0.007520271 0.004834724 0.004902233 0.00877519 0.005735455 0.0053220806 0.0063134395 0.023573441 0.09555423 0.011361787 0.0044962564 0.0049198037 0.016657049 0.006800796 0.009699041 0.0074287183 0.024636934 0.0094068125 0.0095446035 0.01811727 0.010118889 0.009301388 0.011582808 0.051509973 0.042396314 0.004863392 0.0033643318 0.003717596 0.0073704575 0.004616477 0.0052203555 0.0050844136 0.009176543 0.0064244126 0.0074407402 0.008642023 0.00752582 0.00637355 0.007068056 0.024124607 0.0062237363 0.0012151544 0.0010708895 0.00068895746 0.0009858103 0.00079438183 0.0010514692 0.00091922644 0.0014287775 0.001418605 0.001327977 0.0011494955 0.0014204546 0.00092015124 0.0009256999 0.0030804258 0.0010616418 0.00048735648 0.0004938299 0.00054746686 0.00042262222 0.0005095511 0.000505852 0.00063624524 0.0005456173 0.00049290515 0.0005206484 0.00053914386 0.0005132502 0.0005169493 0.0006427187 0.0010338986 3038.0 14.914088 45309.0 0.014434218 0.0012580282 0.0011476749 0.0013242402 0.005892869 0.0015890882 0.0025822683 0.0019642897 0.002802975 0.0019863604 0.002405703 0.0012800989 0.003487166 0.0034430246 0.008210289 0.0013904523 0.008695844 0.012469929 0.009357965 0.008055795 0.0077909464 0.0075702397 0.008695844 0.008629632 0.0076585226 0.007768876 0.016001236 0.0064004944 0.007680593 0.0065108477 0.006378424 0.015515681 0.005142466 0.028493235 0.009909731 0.019245625 0.016817851 0.035268933 0.017502042 0.011454678 0.0070626144 0.025292989 0.0024498445 0.008430996 0.02531506 0.009534529 0.026727581 0.030943079 0.01778896 0.0030016112 0.030170606 0.026308239 0.056147784 0.009181399 0.0053190314 0.010924982 0.0044582756 0.0050541833 0.0041934275 0.0021629257 0.0051203957 0.0021187842 0.0019863604 0.006952261 0.0019863604 0.02531506 0.004414134 0.008430996 0.01284513 0.036416605 0.004149286 0.007217109 0.005561809 0.021209914 0.0026264098 0.0057825157 0.01582467 0.011057406 0.021916175 0.025182635 0.014522501 0.0013683815 0.022754861 0.01743583 0.02531506 0.0057383743 0.004303781 0.007106756 0.0043258513 0.0056500915 0.0021187842 0.0012138869 0.0027809045 0.0011697456 0.002008431 0.0013904523 6.031849 0.0 0.0 0.0 29.0 542208.0 565248.0 0.0 0.0 397.0 1.0 1.0 0.0 0.0 0.0 1528124200.0 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 50.0 1.0 0.0 4.0 0.0 115200.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 512.0 -19456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -115200.0 -14848.0 363008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.6282429 -6.839317 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.494997 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.0290246 -5.5565405 5.419624 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1932.0 -19096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -114953.0 -14364.0 362560.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -2.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -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 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 -2.0 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 -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 -1.0 -1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 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 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 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -2.0 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 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 2.0 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 2.0 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 -1.0 0.0 1.0 -2.0 0.0 -1.0 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 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 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 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 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 0.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 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 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -3.0 -2.0 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 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 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 3.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 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 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 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 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14364.0 163840.0 362560.0 180224.0 0.0 0.0 0.0 0.0 19096.0 544768.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.020630768 0.0054930346 0.0049604108 0.0047838036 0.004734746 0.004646443 0.004284819 0.0043380815 0.00470391 0.0041628764 0.004598787 0.004223147 0.0048006233 0.004028319 0.004172688 0.0039063757 0.0053094192 0.0042750076 0.0042708027 0.0037858346 0.004277811 0.0042679994 0.004078778 0.0039147856 0.004471238 0.0038376956 0.0039988845 0.0037984494 0.003941417 0.0037465887 0.0037592035 0.0039484254 0.0049772304 0.00431986 0.0041390485 0.0036737034 0.004011499 0.0039484254 0.0037900396 0.0037087444 0.004324065 0.003714351 0.0040759747 0.0039568353 0.0041040075 0.0035307358 0.0038699333 0.0037269657 0.0046170084 0.0041698846 0.0039259987 0.0036344575 0.0038783432 0.0038334907 0.003588203 0.0036428673 0.003815269 0.0035545637 0.0035279326 0.003588203 0.003799851 0.0035041047 0.0036863182 0.0035293342 0.004677279 0.0046085985 0.0041712862 0.0041824994 0.0041194255 0.004017106 0.0037479904 0.0035797933 0.0039442205 0.0037816297 0.0038573185 0.0038026543 0.0038166707 0.0037031379 0.0034101948 0.0035966132 0.0043731225 0.003965245 0.003941417 0.0037900396 0.0039302036 0.004249778 0.0038096625 0.004347893 0.00386713 0.0037171543 0.0035391457 0.0036036214 0.0037984494 0.003976458 0.003553162 0.0042483765 0.004556738 0.0041586715 0.003996081 0.0038895563 0.003984868 0.003675105 0.0036078263 0.0035111129 0.0037241625 0.003694728 0.0037928429 0.0035293342 0.0038096625 0.0036302526 0.0035125145 0.0033471207 0.00414886 0.0039512287 0.0036526788 0.0035868015 0.0036666952 0.0039722533 0.0033639406 0.0039680484 0.0037718182 0.0036358591 0.0035167194 0.0034956948 0.0036316542 0.0038839497 0.0033092764 0.0038853514 0.0049491976 0.0041502616 0.004343688 0.0042708027 0.0039666467 0.0040058927 0.003920392 0.0038979661 0.0043408847 0.004032524 0.003937212 0.0036568837 0.0036863182 0.0036260476 0.0036260476 0.00357699 0.004416574 0.0036709001 0.0037634084 0.0036078263 0.0035097112 0.0039638435 0.0034886866 0.0036470722 0.0038979661 0.0034900883 0.0037592035 0.0033359076 0.0034073915 0.0034228095 0.0033863669 0.0034732686 0.004223147 0.0038783432 0.003855917 0.0035363424 0.0037620068 0.0036176378 0.0037171543 0.0035083096 0.0039189905 0.0038124658 0.0039077774 0.0040058927 0.0036582854 0.0035251293 0.003916187 0.0038643267 0.004035327 0.003982065 0.0037017362 0.0034045882 0.0033751538 0.0034942932 0.0034970965 0.003334506 0.0037816297 0.0035952115 0.0037914412 0.0037592035 0.0035657769 0.0035041047 0.00359381 0.0036274493 0.0043619093 0.0040535484 0.003958237 0.003718556 0.004293229 0.0037423838 0.0037900396 0.0035839982 0.00415727 0.0036666952 0.0035013014 0.0034970965 0.0038054576 0.0035251293 0.0033765554 0.0033415142 0.0040185074 0.0037914412 0.0035910064 0.0034592522 0.0038348923 0.0039007694 0.003428416 0.0036330558 0.0038306874 0.003463457 0.003471867 0.0034466374 0.0036975313 0.003725564 0.0034045882 0.0035097112 0.0040465402 0.0036891215 0.003890958 0.0034732686 0.0037227608 0.0034045882 0.0035545637 0.0033961784 0.0035293342 0.003526531 0.0037521953 0.0036723018 0.0035013014 0.0033947767 0.0038166707 0.0037676133 0.0038138675 0.0037507936 0.0035279326 0.0034592522 0.0033653423 0.0039568353 0.003417203 0.0037017362 0.0035713834 0.0034438341 0.0036624903 0.0036807116 0.0035125145 0.0036134329 0.003729769 0.0041867043 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0022306375 1.6158949e-05 9.133318e-05 1.6861512e-05 1.8266637e-05 1.6158949e-05 9.133318e-05 2.1076889e-05 0.00019320482 9.835881e-06 1.0538444e-05 1.194357e-05 9.133318e-05 1.5456384e-05 1.194357e-05 3.161533e-05 0.0011219931 1.4051259e-05 2.8102519e-05 1.0538444e-05 6.604092e-05 3.3723023e-05 3.79384e-05 9.835881e-06 3.4425586e-05 7.728192e-06 2.8102518e-06 7.0256297e-06 3.302046e-05 1.194357e-05 1.4753822e-05 4.9179407e-06 0.00096040353 1.4753822e-05 1.7564074e-05 1.8266637e-05 0.00016229204 7.58768e-05 9.765625e-05 4.004609e-05 1.0538444e-05 5.6205035e-06 2.8102518e-06 5.6205035e-06 8.430756e-06 4.9179407e-06 1.1241007e-05 2.8102518e-06 0.0018484432 0.00011170751 5.7610163e-05 4.1451214e-05 0.00013418953 8.360499e-05 0.00021147144 0.00010116906 5.5502474e-05 1.8266637e-05 1.8266637e-05 1.7564074e-05 3.6533274e-05 1.33486965e-05 3.8640963e-05 8.992806e-05 0.0007735218 1.6158949e-05 3.302046e-05 3.6533274e-05 4.9179405e-05 3.302046e-05 0.00023254834 8.360499e-05 3.9343526e-05 7.728192e-06 1.2646133e-05 1.1241007e-05 2.1076889e-05 1.2646133e-05 2.1779451e-05 5.479991e-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 0.0007187219 3.302046e-05 4.2153777e-05 3.7235837e-05 4.1451214e-05 5.1989657e-05 4.8476842e-05 5.1287094e-05 8.7117805e-05 3.512815e-05 5.058453e-05 4.7071717e-05 4.8476842e-05 4.4261466e-05 4.9179405e-05 5.269222e-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 0.001544936 0.0002824303 0.00020725607 0.00015526642 0.00019671762 0.00013559464 0.00035900966 0.00023746627 0.0001629946 0.00014332285 0.00014332285 0.00012856902 0.0001440254 0.00012856902 0.00017704586 0.00017002024 0.0034552047 0.0015041872 0.0013559465 0.000988506 0.0010152034 0.0006941322 0.00065127586 0.00085782935 0.0011016187 0.0005732914 0.00064706046 0.0005732914 0.00073066546 0.0005634555 0.00061544514 0.0005002248 0.07469298 0.06377866 0.06210797 0.05910311 0.061446156 0.061701186 0.05877923 0.058104765 0.062377755 0.057518125 0.05990052 0.057306655 0.059320904 0.05747035 0.05721743 0.057519533 3598.0 5.8579764 21077.0 0.012383167 0.011339375 0.009963468 0.00830289 0.0114342645 0.010153248 0.0091569 0.00896712 0.012383167 0.011244484 0.010627698 0.009916022 0.0114342645 0.009489017 0.011007259 0.0090145655 0.011956161 0.009916022 0.0114342645 0.010485363 0.012051051 0.010770034 0.009583906 0.009536462 0.010058357 0.00858756 0.00896712 0.008207999 0.010959814 0.010200692 0.009441571 0.008872231 0.011813826 0.012288276 0.011766381 0.011624045 0.011718935 0.011102149 0.0115766 0.009062011 0.010343028 0.010722589 0.0097736865 0.008919676 0.01148171 0.010675143 0.009536462 0.009726242 0.01148171 0.0097736865 0.01167149 0.009394126 0.010390473 0.011102149 0.010627698 0.01119704 0.011339375 0.010058357 0.00849267 0.009441571 0.01119704 0.009963468 0.008350334 0.0112919295 0.01148171 0.013616739 0.010153248 0.011007259 0.011908716 0.011718935 0.009726242 0.009251791 0.010912369 0.009536462 0.009631352 0.010010912 0.013521848 0.009868577 0.010200692 0.009583906 0.011624045 0.011339375 0.011149595 0.010770034 0.011956161 0.011054704 0.008160554 0.010248138 0.012003606 0.008919676 0.009631352 0.009394126 0.00877734 0.0090145655 0.00849267 0.009583906 6.5754375 0.0 0.0 0.0 10.0 713449.0 815104.0 0.0 0.0 18.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 4.0 0.0 557056.0 1024.0 4096.0 8.0 4.0 7.0 2.0 7.0 247296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -60053.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13.357283 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.623655 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 636511.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -172032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 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 0.0 0.0 0.0 7.0 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 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1079.0 811560.0 168960.0 638976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 598016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.35191762 0.015980113 0.013849432 0.013139204 0.013849432 0.00390625 0.0063920454 0.0031960227 0.014559659 0.0 0.0010653409 0.00390625 0.008877841 0.0035511365 0.0031960227 0.01171875 0.0053267046 0.0010653409 0.0007102273 0.0010653409 0.0042613638 0.0 0.0010653409 0.0010653409 0.0035511365 0.0007102273 0.0 0.00035511365 0.0014204546 0.0007102273 0.00035511365 0.0007102273 0.004616477 0.0007102273 0.0017755682 0.0007102273 0.0060369316 0.0010653409 0.0007102273 0.00035511365 0.0014204546 0.00035511365 0.0 0.0014204546 0.0007102273 0.0 0.0028409092 0.0 0.0024857954 0.00035511365 0.0035511365 0.0074573862 0.0014204546 0.0007102273 0.0007102273 0.00035511365 0.0007102273 0.0007102273 0.0007102273 0.0035511365 0.0010653409 0.0007102273 0.0007102273 0.0 0.0078125 0.0024857954 0.0010653409 0.0014204546 0.0035511365 0.009588068 0.0017755682 0.0 0.0035511365 0.0010653409 0.0010653409 0.00035511365 0.0028409092 0.00390625 0.0021306819 0.0010653409 0.0078125 0.0035511365 0.0010653409 0.0060369316 0.0010653409 0.00390625 0.009232954 0.0031960227 0.0 0.0035511365 0.0017755682 0.0024857954 0.00035511365 0.0017755682 0.0053267046 0.0021306819 0.0028409092 0.0017755682 0.00035511365 0.00035511365 0.0014204546 0.0010653409 0.013849432 0.0021306819 0.0060369316 0.0 0.0028409092 0.0014204546 0.0007102273 0.00035511365 0.00035511365 0.0007102273 0.00035511365 0.00035511365 0.0028409092 0.00035511365 0.010653409 0.009588068 0.00035511365 0.0 0.0010653409 0.00035511365 0.00035511365 0.00035511365 0.0007102273 0.0017755682 0.0 0.0007102273 0.010653409 0.0031960227 0.0017755682 0.015625 0.0060369316 0.004616477 0.0014204546 0.0 0.0007102273 0.006747159 0.0017755682 0.0234375 0.00035511365 0.0060369316 0.0014204546 0.0014204546 0.0031960227 0.00035511365 0.00035511365 0.0 0.00035511365 0.0 0.0 0.0 0.00035511365 0.00035511365 0.0 0.0 0.0007102273 0.00035511365 0.0007102273 0.0007102273 0.0014204546 0.0 0.0010653409 0.0014204546 0.0007102273 0.00035511365 0.0 0.0 0.0007102273 0.00035511365 0.00035511365 0.0014204546 0.0010653409 0.0007102273 0.0 0.0 0.0017755682 0.0 0.0007102273 0.0 0.0014204546 0.0 0.0021306819 0.0007102273 0.0042613638 0.0021306819 0.0028409092 0.0017755682 0.0007102273 0.00035511365 0.0010653409 0.0014204546 0.0110085225 0.0031960227 0.00035511365 0.0078125 0.004971591 0.0 0.0035511365 0.0031960227 0.0028409092 0.0028409092 0.00035511365 0.0007102273 0.0017755682 0.00035511365 0.00035511365 0.0028409092 0.0017755682 0.0 0.0021306819 0.0010653409 0.00035511365 0.00035511365 0.0 0.0 0.0035511365 0.00035511365 0.00035511365 0.0017755682 0.0007102273 0.00035511365 0.0 0.0021306819 0.0063920454 0.00035511365 0.0007102273 0.0007102273 0.0010653409 0.0007102273 0.0 0.00035511365 0.009943182 0.0010653409 0.0007102273 0.00390625 0.0042613638 0.0 0.0007102273 0.0007102273 0.0031960227 0.00035511365 0.0014204546 0.0017755682 0.0024857954 0.0007102273 0.0017755682 0.0053267046 0.0042613638 0.0007102273 0.0017755682 0.00035511365 0.0060369316 0.0014204546 0.0053267046 0.044389203 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.43896484 0.026855469 0.025878906 0.022949219 0.045410156 0.068847656 0.033203125 0.037597656 0.09667969 0.0078125 0.0068359375 0.015136719 0.051757812 0.014160156 0.037597656 0.0703125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 6.3333335 57.0 0.01754386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07017544 0.0 0.0 0.0 0.0 0.0 0.01754386 0.01754386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01754386 0.0 0.0 0.0 0.01754386 0.01754386 0.0 0.0 0.0 0.01754386 0.0 0.0 0.01754386 0.0 0.01754386 0.0 0.0 0.07017544 0.03508772 0.10526316 0.01754386 0.0 0.05263158 0.0 0.0 0.01754386 0.01754386 0.03508772 0.0 0.01754386 0.03508772 0.0 0.01754386 0.07017544 0.0 0.01754386 0.03508772 0.03508772 0.0 0.0 0.01754386 0.0 0.01754386 0.0 0.01754386 0.0 0.0 0.01754386 0.0 0.0 0.03508772 0.0 0.07017544 0.0 0.0 0.0 0.01754386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.70544 0.0 0.0 0.0 1.0 2816.0 2816.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1520475900.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1376.0 608.0 0.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0629072 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.3305576 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.666451 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.473527 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1345.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0