Input: 0.23332949 0.007520654 0.005731091 0.0037394806 0.006427032 0.0027998 0.0024021193 0.002174415 0.0073667127 0.0018921901 0.0021134801 0.0014688526 0.0055386648 0.001953125 0.0015073379 0.032119125 0.015750077 0.005028736 0.004336002 0.004400144 0.0027228293 0.0025977525 0.001167385 0.0009428879 0.002296285 0.0013117046 0.0008530891 0.0010198584 0.0016965568 0.0008883672 0.0008755388 0.0010936217 0.0056124283 0.0008883672 0.00122832 0.00093968085 0.0032936935 0.0010038229 0.000724805 0.0010006158 0.00144961 0.0007055624 0.00064142037 0.001956332 0.0012347342 0.002835078 0.0012507697 0.0007632902 0.0030018473 0.0022738352 0.0019948173 0.005301339 0.002203279 0.0020236813 0.0015458231 0.0014143318 0.002139137 0.0021519654 0.0018761546 0.004069812 0.0029473265 0.002831871 0.0019082256 0.0058112685 0.005266061 0.006892062 0.009249282 0.0014913024 0.0021519654 0.0065617305 0.0020653736 0.001606758 0.0017093853 0.0012122844 0.000914024 0.0007793257 0.0014431959 0.0033642498 0.0015233734 0.00100703 0.0048844162 0.0020268883 0.0009813731 0.0023283558 0.0015233734 0.003405942 0.0037683446 0.0027164153 0.0015778941 0.0035085694 0.0009268524 0.0011802134 0.0011128644 0.0032038947 0.0023283558 0.002366841 0.0013149118 0.0037491021 0.0013726396 0.0023411843 0.0028831845 0.005073635 0.004733682 0.0010551364 0.0027901786 0.0031557882 0.003838901 0.0010134442 0.0032552083 0.0016163794 0.0030724036 0.0032295515 0.0023572198 0.00076649734 0.0038004157 0.0038966287 0.009120998 0.008264702 0.0015105449 0.0013277401 0.0014720598 0.0013373614 0.0009108169 0.00078253285 0.0012154916 0.0017991841 0.001385468 0.0016324149 0.0028735632 0.0016292077 0.00082422514 0.0078477785 0.0018312552 0.005852961 0.0007055624 0.0006959411 0.0014207461 0.006449482 0.0010968288 0.01903415 0.0011160715 0.0062506413 0.0006799056 0.00059652096 0.0012956691 0.00061255647 0.0005452073 0.0008370536 0.00096213055 0.00076008314 0.00056444993 0.00048106528 0.00092364533 0.00064462743 0.00046182267 0.0007087695 0.000914024 0.0006510417 0.0006350062 0.0010551364 0.0011834205 0.0013437757 0.0005163434 0.0008851601 0.00082422514 0.000692734 0.00046502976 0.00049710076 0.0010775862 0.0006061422 0.0005163434 0.0005387931 0.0008755388 0.0005772783 0.00056444993 0.00057407125 0.0011385211 0.0005452073 0.0005003079 0.0006061422 0.00093968085 0.000756876 0.0018569119 0.0012026632 0.0018344623 0.0007504618 0.00084988197 0.0009204382 0.013774502 0.0028382852 0.0019980245 0.002514368 0.008274322 0.0034540487 0.0028928057 0.004663126 0.0031365457 0.0017286278 0.0029409123 0.0030724036 0.0031910662 0.003062782 0.0015971367 0.0014784739 0.0030499538 0.0016195864 0.001860119 0.0017574918 0.0032487942 0.0023572198 0.0018472907 0.0016837284 0.0019114327 0.0013501899 0.0016741072 0.0015843083 0.0023411843 0.0018504978 0.0014239532 0.0017222137 0.0017478705 0.0017414563 0.0013405685 0.0014592314 0.0025304034 0.0011288999 0.0012796336 0.0008434678 0.0015778941 0.0014656455 0.0010455152 0.013626976 0.012745023 0.0046759546 0.0030178828 0.005852961 0.006090286 0.0030210898 0.003146167 0.0036496818 0.0053494456 0.002645859 0.0029344982 0.002514368 0.0030307113 0.0017350421 0.002992226 0.0034155634 0.0044193864 0.0024406044 0.003370664 0.0031044746 0.0056220493 0.0019274682 0.0038517292 0.08692208 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0030537723 1.1280425e-05 8.057446e-06 1.2891915e-05 1.6114893e-06 4.8344677e-06 0.0 9.6689355e-06 1.9337871e-05 1.6114893e-06 1.6114893e-06 4.834468e-05 1.2891915e-05 0.0 6.123659e-05 5.3179145e-05 0.013966777 6.445957e-05 1.7726383e-05 5.6402125e-05 1.2891915e-05 1.7726383e-05 1.2891915e-05 3.8675742e-05 4.995617e-05 1.4503404e-05 9.6689355e-06 0.00050439616 5.3179145e-05 1.4503404e-05 0.0005607983 0.0011070932 0.0026460653 6.4459573e-06 4.8344677e-06 4.8344677e-06 4.8344677e-06 0.0 4.8344677e-06 0.0 6.4459573e-06 0.0 3.2229786e-06 0.00023044297 3.2229786e-06 6.4459573e-06 0.00023527743 0.00014342254 0.009881652 3.3841276e-05 2.578383e-05 3.5452766e-05 1.6114893e-05 1.9337871e-05 8.057446e-06 1.7726383e-05 2.7395317e-05 1.2891915e-05 2.256085e-05 0.001116762 3.7064252e-05 3.3841276e-05 0.001132877 0.0007799608 0.01078892 0.00012247318 0.00024172339 5.3179145e-05 0.00016276042 8.218595e-05 0.0011248195 0.0004657204 2.9006807e-05 1.7726383e-05 3.2229786e-05 0.0009765625 0.00022077403 6.607106e-05 0.0011634952 0.0009540017 0.02275584 0.00044154807 0.0011618838 0.00012408468 0.0015760366 0.0003738655 0.0018225943 0.0011667182 0.00020465914 0.00035452764 0.00024978083 0.0012827455 0.0007654574 0.0001643719 0.0018354863 0.0020240305 0.049065012 0.004020666 0.002167453 0.0009362753 0.002779819 0.0008218595 0.006861721 0.0036709725 0.0004657204 0.0004367136 0.0003593621 0.002710525 0.003007039 0.0019273412 0.0060285814 0.017051168 0.05059915 0.009005002 0.0033325597 0.0018725506 0.0046394775 0.0011344885 0.0073967357 0.0043300716 0.00065909914 0.0004334906 0.00038514595 0.0033309483 0.0037853883 0.0027846536 0.008423255 0.026600853 0.04951301 0.010904948 0.0019772972 0.0018483782 0.004423538 0.0017694152 0.005606371 0.0035194927 0.00089437654 0.00095561316 0.00064137275 0.0069648568 0.006458849 0.0061284937 0.015049699 0.028558813 0.011934689 0.0027185825 0.0010087923 0.012601846 0.0016453306 0.0011634952 0.0019869662 0.0014938506 0.0013891037 0.0011054816 0.00095239014 0.0021996829 0.0020175846 0.0017146246 0.0031569074 0.0057159523 0.0043397406 0.0006574876 0.0010909783 0.0030521606 0.0017661923 0.000829917 0.0017516889 0.0009959004 0.0011763872 0.00036741956 0.00030779446 0.00032229786 0.0005253455 0.00034163572 0.0005575753 0.0017194591 0.044556066 0.007114725 0.00501012 0.008946989 0.013262557 0.013059509 0.0069567994 0.010877552 0.025915971 0.0022222437 0.0023108756 0.0049585523 0.012908029 0.004520227 0.011386783 0.024012802 0.03611992 0.0076030064 0.005288908 0.007818946 0.012474539 0.014368039 0.007085718 0.010660002 0.023646994 0.001791976 0.0024397948 0.0033470632 0.013736335 0.0073790094 0.012023321 0.02233524 0.007559496 0.0044412646 0.0042188787 0.005448445 0.0045798523 0.0043187914 0.003978767 0.0044525447 0.0045991903 0.0043429635 0.0040222774 0.0051164785 0.004417092 0.0042478857 0.004338129 0.0058255335 1035.0 16.883091 17474.0 0.060947694 0.0016023807 0.005837244 0.001430697 0.009270917 0.001430697 0.0009156461 0.0034909009 0.0035481288 0.0010873297 0.000972874 0.0010873297 0.003891496 0.0055511044 0.0094426 0.0028041662 0.012876273 0.0132768685 0.00972874 0.009328145 0.013105185 0.010816069 0.008698638 0.0073251687 0.008698638 0.008813093 0.008183587 0.007897448 0.0153943 0.009156461 0.009900424 0.015794896 0.022490557 0.011445576 0.002918622 0.006924574 0.0119034 0.0041204076 0.0042348634 0.0060089277 0.004807142 0.006924574 0.0013162412 0.000972874 0.0059517 0.002002976 0.0046926863 0.0018885201 0.01568044 0.0025180269 0.0034909009 0.008469727 0.007267941 0.0033192171 0.009557056 0.0094426 0.008526954 0.0016023807 0.0025180269 0.0016596086 0.0044637746 0.0013162412 0.002002976 0.011102209 0.0052077374 0.039945062 0.010358247 0.027240472 0.026610965 0.057285108 0.009499828 0.007267941 0.008984777 0.032906033 0.0044065467 0.0030330778 0.027927207 0.01241845 0.028556712 0.038170997 0.0139063755 0.0027469383 0.037942085 0.03376445 0.04755637 0.01596658 0.0065239784 0.0037198123 0.0065239784 0.007153485 0.0016596086 0.0010873297 0.004292091 0.0010873297 0.0010873297 0.0013162412 5.878448 1.0 1.0 0.0 4.0 311808.0 331776.0 1.0 0.0 77.0 1.0 1.0 0.0 1.0 0.0 1516087000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 11.0 6.0 0.0 6.0 0.0 112128.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 59904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -112128.0 0.0 123904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.532171 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.365582 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.082083 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.666661 0.0 5.299936 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 59526.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -111982.0 0.0 123508.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 176496.0 123508.0 192512.0 0.0 0.0 0.0 0.0 8736.0 319488.0 112.0 165872.0 0.0 0.0 0.0 0.0 24.0 166136.0 64.0 165984.0 0.0 0.0 316.0 118784.0 0.0 0.0 0.0 0.0


Input: 0.05682566 0.0083121015 0.006181645 0.0056542223 0.0057580457 0.004964835 0.0042006946 0.0054237344 0.005048932 0.0056355344 0.0037459482 0.004463368 0.004947185 0.0031738814 0.004326321 0.004641944 0.005048932 0.0037594454 0.004929535 0.0041539744 0.0043585063 0.003172843 0.0041155596 0.003842504 0.005081117 0.0033420753 0.003159346 0.0029267818 0.004148783 0.0034417456 0.0037937071 0.003788516 0.006175416 0.0038123953 0.003478084 0.003017108 0.004892159 0.0041633183 0.003842504 0.0037251837 0.0047312323 0.0038944157 0.003335846 0.0030949756 0.0043730414 0.0037189543 0.0037241455 0.0035870986 0.0055171754 0.00395671 0.0031043196 0.002897711 0.0036774247 0.0030773256 0.0026879879 0.0028634493 0.004175777 0.0033119665 0.0035216897 0.0033389605 0.0040044687 0.0032226783 0.0035081927 0.0034656252 0.00660213 0.0039598243 0.0036213603 0.0032268313 0.0041550123 0.0032174871 0.003545569 0.003065905 0.0050011734 0.0037729423 0.0037064955 0.0035839838 0.0041280184 0.0031240461 0.003553875 0.0034666634 0.0051766345 0.0036317424 0.0036576984 0.003336884 0.0039286776 0.0033815282 0.0033659546 0.003536225 0.0046523265 0.003647316 0.0038040895 0.0035071545 0.004104139 0.003393987 0.0036857307 0.003788516 0.005913781 0.003629666 0.00334519 0.002954814 0.00400966 0.0030544845 0.0032600549 0.0030306051 0.0049669114 0.0031645373 0.0032060666 0.003047217 0.0035839838 0.0028354172 0.0030887462 0.0031873784 0.0045090504 0.0032860106 0.0032278695 0.003136505 0.0038954539 0.003335846 0.0032901636 0.0036327809 0.0046263705 0.0032943166 0.0034811986 0.0031666136 0.0040356154 0.0031998372 0.0034718546 0.0033379223 0.008655757 0.0045983386 0.004015889 0.0035310339 0.00437408 0.0034396693 0.0030202228 0.003389834 0.004542274 0.003824854 0.0029558523 0.0031956842 0.0037293367 0.0027970024 0.002843723 0.0029849228 0.005241005 0.0032091814 0.0034926191 0.003025414 0.003669119 0.003176996 0.0033046987 0.0032642076 0.0045495415 0.0028354172 0.003039949 0.0026983703 0.003510269 0.0032278695 0.0029869992 0.0031500019 0.0050032497 0.0034022927 0.003270437 0.0027938876 0.0037750187 0.0030202228 0.0030565609 0.003185302 0.004139439 0.0029921904 0.0031219698 0.0030098404 0.0036483542 0.0028343787 0.00291017 0.003034758 0.0046679 0.0031219698 0.0038435422 0.0028582583 0.003558028 0.0031520785 0.0029869992 0.0031209313 0.00425053 0.003140658 0.003331693 0.0031759578 0.0036493926 0.0031884166 0.003322349 0.0033514195 0.006726718 0.0040605334 0.003723107 0.0033379223 0.004111407 0.0032548637 0.0033015842 0.0032309843 0.004335665 0.0033296165 0.0031167786 0.0030679815 0.0036400484 0.0029807698 0.0030762875 0.0027980406 0.0042494917 0.0032673224 0.003087708 0.0029942668 0.003708572 0.0030098404 0.0029330112 0.002941317 0.0039764363 0.0031032814 0.0027274408 0.0026381526 0.0035310339 0.0029475463 0.0035777544 0.002880061 0.0049544526 0.0032403283 0.0033887958 0.002964158 0.003807204 0.0030679815 0.0031925696 0.0028987494 0.0044436418 0.005452805 0.0034656252 0.003132352 0.0037833247 0.003070058 0.003235137 0.0031832254 0.004618065 0.0033150811 0.003416828 0.0030378727 0.0037397188 0.0030918608 0.0033067754 0.0032444813 0.004353315 0.0030316433 0.0031821872 0.002862411 0.004014851 0.0030918608 0.0042214594 0.0045267004 0.01170523 0.0 0.0 0.0 0.0 0.0 1.0400026e-06 3.120008e-06 0.0 1.0400026e-06 2.0800053e-06 0.0 0.0 1.0400026e-06 0.0 1.0400026e-06 0.0020581654 4.1600106e-06 2.0800053e-06 6.240016e-06 5.200013e-06 1.0400026e-06 3.120008e-05 1.1440029e-05 0.0 0.0 1.0400026e-05 0.0 0.0 0.0 0.0 0.0 0.00095316244 2.6000066e-06 6.240016e-06 1.30000335e-05 9.360024e-06 5.7200145e-06 5.2000134e-05 2.2880058e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028709273 3.5880093e-05 2.8080072e-05 1.0920028e-05 2.2360056e-05 3.484009e-05 4.264011e-05 1.8200046e-05 3.5880093e-05 5.200013e-06 9.880026e-06 1.612004e-05 2.6520069e-05 7.2800185e-06 1.7160044e-05 1.30000335e-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 0.0008824423 1.1960031e-05 1.2480032e-05 8.320021e-06 1.3520034e-05 1.612004e-05 1.3520034e-05 1.1440029e-05 1.0920028e-05 1.3520034e-05 6.760017e-06 1.3520034e-05 1.1960031e-05 1.0400026e-05 1.8200046e-05 9.880026e-06 0.0016296841 6.5520166e-05 5.7200148e-05 4.8880123e-05 4.7840123e-05 3.068008e-05 2.2880058e-05 0.00055640144 3.0160078e-05 1.7160044e-05 1.9760051e-05 0.00027820072 2.0800053e-05 0.0002750807 1.6640042e-05 7.80002e-05 0.0007451619 3.7440095e-05 3.4320088e-05 2.0800053e-05 2.2360056e-05 1.7160044e-05 1.4040036e-05 1.1960031e-05 1.6640042e-05 2.2880058e-05 1.924005e-05 1.7680046e-05 6.760017e-06 4.680012e-06 2.2880058e-05 5.096013e-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 0.0013223634 3.7440095e-05 4.316011e-05 6.0320155e-05 4.264011e-05 3.1720083e-05 9.204024e-05 5.876015e-05 3.9520102e-05 5.7720146e-05 4.4200115e-05 4.316011e-05 7.85202e-05 7.80002e-06 8.840023e-06 0.00016172041 0.001172603 6.968018e-05 4.6280118e-05 4.6280118e-05 3.84801e-05 3.7960097e-05 4.7840123e-05 6.0320155e-05 5.2520136e-05 5.096013e-05 6.8640176e-05 5.2000134e-05 7.5400196e-05 1.4560037e-05 4.4200115e-05 0.00025220064 0.0045962916 0.00029380075 0.0002719607 0.0002714407 0.00030056076 0.00024128062 0.00033280085 0.0003083608 0.00033228085 0.0003520409 0.00032916083 0.0003525609 0.00052260136 0.0001539204 0.00018460047 0.0007410019 0.0032068482 0.0002745607 0.00030160078 0.00024960065 0.00028964074 0.00028340073 0.0003442409 0.0009365224 0.00040872104 0.0003525609 0.00032552084 0.0006713217 0.0004643612 0.0004368011 0.00017524045 0.00086372223 0.0022583657 0.00018252047 0.00029120073 0.00024596063 0.00029952076 0.00029588075 0.00028652072 0.00040404103 0.00044460114 0.00032396082 0.00024700063 0.0003182408 0.0004622812 0.00016224041 0.00019032048 0.0010420827 0.0003458009 5.460014e-05 4.316011e-05 4.5240115e-05 5.460014e-05 4.8360125e-05 5.3560136e-05 5.2000134e-05 7.072018e-05 4.8360125e-05 3.84801e-05 4.9400125e-05 4.4720113e-05 2.6520069e-05 4.2120108e-05 4.732012e-05 0.09929582 0.062003918 0.06244332 0.055319823 0.060601477 0.059576552 0.05493606 0.05447118 0.060492795 0.053146217 0.052091654 0.052932497 0.056399863 0.05050409 0.056588624 0.05381806 4020.0 5.7029853 22926.0 0.017229347 0.010424845 0.009377999 0.008592864 0.01339091 0.012387682 0.011777022 0.0115589285 0.012562157 0.009770567 0.008505627 0.008636483 0.014001571 0.01059932 0.01182064 0.009901422 0.016749542 0.011907877 0.00872372 0.007502399 0.009814185 0.008549245 0.0078077293 0.008331153 0.010250371 0.00841839 0.009552473 0.008810957 0.0115589285 0.008985431 0.00963971 0.009203524 0.0180581 0.011035506 0.010381226 0.009116287 0.010861031 0.008854575 0.010686557 0.008331153 0.014219663 0.011602547 0.009770567 0.008985431 0.011428073 0.009377999 0.0116461655 0.009596092 0.014786705 0.009596092 0.010032278 0.00902905 0.012169589 0.009377999 0.009552473 0.009770567 0.013652622 0.009203524 0.010512082 0.009508855 0.011122743 0.009814185 0.010381226 0.010686557 0.017927244 0.010991887 0.009683329 0.008156678 0.0130855795 0.008243916 0.009377999 0.008331153 0.015440984 0.00933438 0.008898194 0.0086801015 0.011428073 0.008025822 0.009988659 0.007851348 0.0131728165 0.007938585 0.00872372 0.0087673385 0.0116461655 0.009465236 0.008243916 0.007851348 0.010948269 0.008941812 0.011907877 0.008462008 0.011253598 0.008985431 0.009988659 0.0087673385 6.5544376 0.0 0.0 0.0 14.0 963174.0 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: 0.20255725 0.0067709666 0.0043160664 0.0038562724 0.00636115 0.0031505886 0.002336953 0.0021190506 0.010203429 0.0017911976 0.0025168725 0.001359391 0.0045859455 0.002662807 0.0014333578 0.00651708 0.004667909 0.0011634787 0.0012194536 0.0011174993 0.0026248242 0.0019171411 0.0014913318 0.004673906 0.0059393393 0.002089064 0.0013533937 0.0013334026 0.001971117 0.0011194985 0.001149485 0.0015033265 0.0131860925 0.0013733847 0.0016832459 0.0016372665 0.0033405034 0.001379382 0.0016812468 0.0012934206 0.0023129638 0.0011934653 0.0012794269 0.0021210497 0.0018291805 0.001991108 0.0013893775 0.00070568384 0.0035104274 0.0017152316 0.0020790687 0.0044879895 0.0018751599 0.0013953749 0.0011614796 0.0012614349 0.0020570785 0.0019471276 0.00147334 0.0033265096 0.0018131877 0.0021710275 0.0015213185 0.0020051016 0.0034604496 0.0025548553 0.001779203 0.006219214 0.0058513787 0.006625032 0.0023749361 0.0013713856 0.0019571232 0.0017332236 0.0013234072 0.0011374904 0.0021530355 0.0034784416 0.0020610767 0.0012734295 0.008808054 0.0022469934 0.0020810678 0.0027647614 0.0029026996 0.0029746674 0.0034044748 0.0027127846 0.0013234072 0.0030946136 0.0008436221 0.0017772039 0.0012234519 0.0030706243 0.002296971 0.002067074 0.0047558695 0.003790302 0.0011934653 0.002316962 0.0038622697 0.0057334313 0.003140593 0.0012534384 0.0030046538 0.0028027443 0.0036703558 0.0011414887 0.0023929279 0.0017072351 0.0029546763 0.0032485446 0.0023869306 0.0011354913 0.0038122921 0.003966223 0.008838041 0.008570161 0.0016052808 0.0013134116 0.007774517 0.0014333578 0.0050417413 0.00074366684 0.003890257 0.0021010588 0.001819185 0.0016572576 0.002908697 0.0020990595 0.0014033713 0.00794644 0.002296971 0.0072027734 0.0008756077 0.00079564354 0.0019171411 0.0061112624 0.0014633444 0.021122538 0.0009975531 0.0055015353 0.0007256749 0.00071767846 0.00493379 0.0007836489 0.0009275844 0.0011734742 0.0016232728 0.0012514393 0.001035536 0.00089359964 0.001397374 0.001857168 0.001647262 0.0018511707 0.002296971 0.0021270472 0.0017672083 0.0018031922 0.0017192297 0.0015413095 0.0007336713 0.0010495298 0.001051529 0.000881605 0.00087760686 0.00087160955 0.0015992835 0.0014713409 0.0011534833 0.001399373 0.0016792477 0.0014653435 0.0014473515 0.0014393552 0.0020350884 0.0015013274 0.0014473515 0.0014393552 0.0015333131 0.0013174098 0.0019651197 0.001705236 0.0022369977 0.001455348 0.0018431742 0.0015932862 0.0023909288 0.001493331 0.0021750256 0.0017072351 0.00698687 0.003926241 0.0033445016 0.004733879 0.0034764425 0.0021970158 0.00339248 0.0035144256 0.0032045643 0.0031066083 0.0016092791 0.0019111438 0.008132357 0.0013034161 0.0016772486 0.0015792925 0.0024029235 0.0024089208 0.0030346406 0.0029586744 0.00350443 0.004006205 0.0047818576 0.004957779 0.0059653274 0.0050277477 0.0038582715 0.0037243315 0.004020199 0.0038542734 0.0034024757 0.0035564068 0.005127703 0.004238101 0.0045079803 0.0040461873 0.004348052 0.0036163798 0.0028807095 0.0022949718 0.013753838 0.0036683567 0.0022909737 0.0046439194 0.0044100243 0.0017152316 0.0017152316 0.0016332683 0.003968222 0.0017832011 0.0015692969 0.0016552585 0.0022949718 0.0011874681 0.0025548553 0.001647262 0.0037843047 0.0017532145 0.0013453972 0.0011514841 0.0035923906 0.0019451285 0.015642991 0.07192378 0.008213553 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037909474 0.00015540779 0.0 2.0052619e-06 0.0 0.0 0.0 5.0131544e-05 1.0026309e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.00010728151 0.005557583 5.7149962e-05 5.1134175e-05 6.0157854e-06 3.0078927e-06 4.7123653e-05 0.0 2.0052619e-06 5.0131544e-05 0.0 0.0 0.0 8.4221e-05 0.0 3.0078927e-06 0.000298784 0.010482506 0.00023160774 2.4063142e-05 1.0026309e-05 8.021047e-05 1.9049987e-05 1.6042095e-05 0.00013836306 2.3060511e-05 2.3060511e-05 1.7044726e-05 6.0157854e-06 0.0001784683 6.0157854e-06 1.4036833e-05 0.0010507572 0.002884569 0.0009103889 5.8152593e-05 2.5065772e-05 3.0078927e-05 2.8073666e-05 2.105525e-05 1.3034201e-05 2.9076296e-05 6.0157854e-06 1.0026309e-05 1.9049987e-05 1.4036833e-05 1.3034201e-05 2.9076296e-05 1.6042095e-05 0.008649697 0.002653964 0.00041709444 0.00016042094 0.00015340252 0.00011730781 0.00039804447 7.619995e-05 0.00014337622 0.00012933939 9.926046e-05 7.0184165e-06 0.00012833676 0.0037628738 1.6042095e-05 0.0015681147 0.007878673 0.0010196756 0.00036295239 8.4221e-05 0.00039202868 0.00013435254 0.00064168376 0.00035894188 2.6068403e-05 2.8073666e-05 3.408945e-05 2.9076296e-05 0.000105276245 0.0037588633 1.4036833e-05 0.001559091 0.009901983 0.00010427361 0.0005364075 4.9128914e-05 0.0010607835 0.00024263668 0.0016784042 0.001290386 0.0002757235 0.00018949724 9.2242044e-05 2.8073666e-05 0.00019250513 0.0021857354 0.0015310174 0.0032284716 0.0118210185 0.00045218653 0.00049128913 0.0001945104 0.0007730284 0.00052437594 0.0017927041 0.004982073 0.0005073312 0.00020253145 0.00015641042 0.00015841569 0.00012532886 0.0068870718 0.0064328797 0.0076199947 0.019982435 0.0018628882 0.0038230317 0.0010437388 0.003381874 0.0020453671 0.0070795766 0.0083509125 0.00093645725 0.0019330723 0.0015009384 0.00085825205 0.0020423592 0.009937075 0.005690933 0.009613225 0.021437252 0.002868527 0.0014658464 0.0005855365 0.0029697928 0.0010437388 0.0038009738 0.0055014356 0.00092843623 0.003561345 0.0011831045 0.0029938559 0.002781298 0.007197887 0.0070234295 0.0106329005 0.01963452 0.0020894827 0.0047554784 0.010080451 0.0024995587 0.0018839434 0.0042822366 0.0053500384 0.0015881674 0.0063055456 0.0040426077 0.0058122515 0.008084213 0.009904991 0.009151013 0.017471846 0.027230453 0.0032405031 0.008009016 0.0026860482 0.0039754314 0.003110161 0.0048206495 0.003968413 0.0044516814 0.0024404037 0.0032114268 0.005516475 0.004568989 0.0034711082 0.005587662 0.012274208 0.04509834 0.0064038034 0.007604955 0.0059315646 0.010790314 0.0106950635 0.007072558 0.009855862 0.020272193 0.0027562324 0.0030730637 0.004563976 0.012967026 0.0040907343 0.009644306 0.01987816 0.05147106 0.010309051 0.007868648 0.009618239 0.016139349 0.01991225 0.011828037 0.013303909 0.030747682 0.0065371534 0.004338384 0.0051785884 0.018972784 0.007879676 0.016324837 0.028297251 0.007534771 0.0030419822 0.0029788164 0.0028775507 0.0031793425 0.003876171 0.0035994449 0.0029587639 0.0042601787 0.0032986556 0.0026399272 0.0026740166 0.00398245 0.002501564 0.0035944318 0.0044968 2094.0 15.031041 31475.0 0.15161239 0.0013026211 0.0015250199 0.001683876 0.0051787132 0.00082605245 0.0010802224 0.004733916 0.006290707 0.0036854646 0.0010484512 0.0013979349 0.008514694 0.0019062748 0.009849086 0.0013661636 0.008927721 0.006322478 0.0058459095 0.005115171 0.006544877 0.004733916 0.0038760921 0.005019857 0.007212073 0.0054646544 0.005655282 0.0066401907 0.006544877 0.007720413 0.0054328833 0.005528197 0.008705322 0.010420969 0.0042891186 0.010007943 0.0081652105 0.012263701 0.004416203 0.0044479747 0.0041620336 0.012708499 0.0020333598 0.0010802224 0.014233518 0.005401112 0.010293884 0.007021446 0.014932486 0.0024146147 0.012899126 0.011787132 0.022081017 0.005051628 0.0052104844 0.0062589357 0.0038125496 0.0025099285 0.0014297061 0.004892772 0.0021286735 0.005051628 0.0020015885 0.0060047656 0.0045750597 0.037839554 0.007466243 0.016552819 0.028943606 0.062494043 0.0059412234 0.008260524 0.0062589357 0.023796665 0.0045750597 0.003494837 0.017696586 0.012962669 0.026052423 0.033677522 0.010897538 0.0022557585 0.032025415 0.03164416 0.04619539 0.017633041 0.0053693405 0.0036854646 0.005242256 0.007021446 0.0020333598 0.0014932486 0.0026687847 0.0016521049 0.0012708498 0.0016203336 5.630991 1.0 0.0 0.0 4.0 500224.0 557056.0 1.0 0.0 127.0 1.0 1.0 0.0 1.0 0.0 1479120600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 212992.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 -512.0 0.0 0.0 -10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 91648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -214016.0 0.0 178176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.50325835 0.0 0.0 -6.6298585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.607675 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.1342793 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.718844 0.0 5.8864374 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.0 0.0 0.0 -9748.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 91292.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -213773.0 0.0 177944.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 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 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 120.0 305308.0 177944.0 364544.0 0.0 0.0 0.0 0.0 9748.0 544768.0 84.0 296560.0 0.0 0.0 0.0 0.0 24.0 296740.0 64.0 296648.0 0.0 0.0 528.0 217088.0 0.0 0.0 0.0 0.0


Input: 0.55739653 0.0042639226 0.002199439 0.0021539018 0.004999967 0.0016840425 0.0013416867 0.0017506921 0.004893576 0.0009306115 0.00092067616 0.0010924749 0.0038400143 0.0008424352 0.0007273507 0.00449699 0.003029455 0.00080062397 0.0007211411 0.00066442677 0.002122026 0.0013383749 0.0007198992 0.001353692 0.001645543 0.0006627709 0.00050380523 0.00059446535 0.0013714929 0.0006689805 0.0005257458 0.00097407866 0.0039141155 0.0008581662 0.0009583477 0.00089707965 0.01668353 0.0016281562 0.00086644565 0.000984014 0.0019287006 0.00042680625 0.00054644444 0.0021096068 0.0020706933 0.000891284 0.0007153455 0.00059901905 0.0020955317 0.0010837815 0.0009898096 0.0034831695 0.0019262168 0.0010200297 0.00092398794 0.0008825906 0.0015586086 0.0013338212 0.0008387095 0.0020636558 0.001522593 0.0009980891 0.00083581166 0.0014791258 0.0027897647 0.0022416643 0.0015751675 0.0014008849 0.0033792623 0.0068520824 0.0018645348 0.0014211696 0.0013358911 0.0015172113 0.0018823356 0.001768079 0.0014985825 0.0033854719 0.0017092949 0.0007198992 0.004904339 0.0030555353 0.0008395374 0.0017771864 0.0014633948 0.0026908251 0.0030696103 0.0023161795 0.0009769765 0.0029599075 0.000768334 0.0009922935 0.00071741536 0.0023650283 0.0017693209 0.0014501477 0.0011330444 0.0030373204 0.0010941308 0.001307327 0.0019485713 0.0028675916 0.0019804472 0.0008474029 0.0019216631 0.0022184819 0.0029354831 0.0006594591 0.001675763 0.0014476639 0.001907588 0.0020947037 0.0014530455 0.0011645063 0.0023604746 0.0022085465 0.0062158057 0.005890423 0.0009616595 0.0011611945 0.0008747251 0.001244817 0.0007625384 0.00066318485 0.0009922935 0.0020520645 0.00095131015 0.0008900421 0.001861223 0.00075136113 0.0003448396 0.0053087906 0.0014890612 0.004433652 0.00040734952 0.0004951118 0.0010005729 0.005816736 0.0006673246 0.018913602 0.0006106103 0.004392668 0.00034649548 0.00032869462 0.00074349565 0.00029185103 0.00044543503 0.000507531 0.00060647057 0.00038002728 0.00025086768 0.00027239427 0.00061143824 0.0004321879 0.00042059665 0.00029433487 0.00066028704 0.000384167 0.00033242037 0.00040113993 0.0009864978 0.0019705119 0.00030054446 0.0005195362 0.0008668596 0.0004429512 0.00024838385 0.0017204721 0.0006470399 0.0014878192 0.00025707728 0.00027901787 0.0007290066 0.0019614045 0.00036553823 0.006074641 0.0007261088 0.00034897932 0.00024548604 0.00026080303 0.00059115357 0.00040238185 0.0008474029 0.00069174904 0.0010593571 0.00042680625 0.0005439606 0.00036678015 0.00061309413 0.00053071347 0.00053112744 0.00048103672 0.0042353584 0.0019601625 0.0014799538 0.0023956622 0.0019924524 0.00043260187 0.0014356587 0.0015888287 0.0022420783 0.001215425 0.0005182943 0.00081180123 0.005134094 0.0006983726 0.001306085 0.0016749351 0.0013756326 0.00057459465 0.0011760975 0.0007244529 0.0011496033 0.00044377914 0.0007675061 0.0005013214 0.0017925034 0.0008813487 0.0010726042 0.008190458 0.0013884658 0.00063420675 0.0005423047 0.00059446535 0.0016144951 0.00042680625 0.0006785019 0.0005952933 0.002091392 0.0013408588 0.00065573334 0.00091653643 0.008966243 0.0015126576 0.0006813997 0.0024109792 0.0031283945 0.00057956233 0.00041107528 0.0006818137 0.0023666841 0.00085568236 0.00071120576 0.00057004095 0.0015561248 0.00039079058 0.0015917266 0.0010825396 0.0023513671 0.0008904561 0.00059612124 0.0007882047 0.0027210452 0.0013098108 0.002291341 0.023852302 0.49787936 0.0 0.0 0.0 0.0 0.0 0.0 2.0707432e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00036320835 1.8636689e-06 2.5263067e-05 1.0353716e-06 3.5202634e-06 7.0405267e-06 5.383932e-06 4.9697837e-06 6.2122297e-07 3.1061147e-06 6.2122297e-07 3.3131892e-06 8.282973e-07 6.2122297e-07 1.0353716e-06 1.6565946e-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 0.0029325865 9.131977e-05 0.00020148332 2.0707432e-05 0.00030108605 4.2864383e-05 0.00019651353 9.83603e-05 2.5263067e-05 6.0672777e-05 3.3753113e-05 2.1535729e-05 1.3666905e-05 1.4288128e-05 2.1121581e-05 0.00016565945 0.0048888177 0.000121345554 0.00031081855 0.000112441354 0.0005725605 0.0001064362 0.00029901532 0.00018926593 8.096606e-05 9.8567376e-05 2.3399398e-05 3.0025776e-05 2.919748e-05 3.9344122e-05 2.9611629e-05 0.0007017749 0.004034015 0.00016234627 0.0007396695 5.984448e-05 0.000599066 0.00018823055 0.0010890039 0.0005189282 4.2864383e-05 6.7506226e-05 4.8248316e-05 3.0647e-05 2.6091364e-05 9.442589e-05 3.9344122e-05 0.00031744494 0.0058635166 0.00018512445 0.0017363182 0.0002596712 0.0018048598 0.00075457885 0.002604995 0.0013252756 0.0001412247 0.00011823944 0.0001217597 0.00010063812 8.655707e-05 0.00018968008 8.1587285e-05 0.00031723786 0.008179643 0.00034560706 0.0040058526 0.00047772046 0.00348796 0.0016559734 0.0048275236 0.0024556944 0.0002816211 0.00018802348 0.00019651353 0.0001660736 0.00014888644 0.00037128426 0.00015737649 0.0006199805 0.006171436 0.0006789967 0.0026681526 0.0041062837 0.0023807334 0.0010407555 0.0027395934 0.0013633773 0.0005555804 0.00043402778 0.00039716854 0.00043982585 0.0005642775 0.00061294 0.0004394117 0.00085273205 0.004434704 0.0013617207 0.0017986476 0.0023720365 0.0013842918 0.0007017749 0.001395888 0.00084320665 0.0006280564 0.0004516291 0.000367764 0.00045307862 0.0006164603 0.0005466762 0.0005323881 0.0007715589 0.015436563 0.0032382281 0.0025499132 0.0038097533 0.005077462 0.004688163 0.0024786796 0.00337117 0.009252495 0.0010413767 0.0011150952 0.0014882431 0.0061567337 0.0021976798 0.0043560155 0.008381954 0.018080695 0.003708908 0.0065512103 0.0038544815 0.0068069473 0.007531293 0.003973963 0.0059718164 0.01315481 0.0014631872 0.0038886487 0.0022082406 0.0075491015 0.0052986178 0.0073101376 0.012486788 0.025318976 0.0077961413 0.015493922 0.007883941 0.012928271 0.015403223 0.009465574 0.013697345 0.023016931 0.0031048723 0.012664459 0.0037188476 0.01393548 0.0124468235 0.013728821 0.019320033 7281.0 11.36863 82775.0 0.03550589 0.0014980369 0.0016550891 0.0014255513 0.026288131 0.0033705828 0.0014255513 0.0032376926 0.0043008155 0.0011476895 0.00091815164 0.0019208698 0.004590758 0.0019450317 0.0060525523 0.0012322561 0.008903654 0.0063183326 0.0051344004 0.007115675 0.0075022653 0.0053760195 0.0053518573 0.004409544 0.0071639987 0.0074176984 0.005702205 0.0078042885 0.007514346 0.004844458 0.0044941106 0.009568106 0.02512836 0.024717608 0.005702205 0.010039263 0.007345213 0.017142856 0.007973422 0.0092056785 0.011501057 0.009254002 0.011875566 0.011017819 0.009411054 0.010522501 0.005919662 0.003938387 0.024258532 0.008311688 0.0066203563 0.010039263 0.012540018 0.0044820295 0.016260948 0.01487164 0.0045303535 0.0038659016 0.002500755 0.0023557837 0.0042162486 0.0034793115 0.0030202356 0.009809725 0.0056297192 0.031217154 0.00922984 0.02013893 0.021371188 0.053518575 0.008710359 0.00781637 0.0121896705 0.02666264 0.009543944 0.004892782 0.023304138 0.011875566 0.026614316 0.032533977 0.014472969 0.0028752643 0.030987617 0.027447902 0.04457868 0.017106615 0.006499547 0.0064753853 0.006463304 0.0076230746 0.0023195408 0.0030323165 0.0041075204 0.002536998 0.0028390214 0.0023920266 6.0620527 1.0 0.0 0.0 9.0 2415616.0 2441216.0 1.0 0.0 144.0 1.0 1.0 0.0 1.0 0.0 1531915500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 14.0 6.0 0.0 6.0 0.0 262656.0 1024.0 4096.0 7.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 -18944.0 -1203712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 86528.0 0.0 0.0 0.0 0.0 0.0 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 805376.0 0.0 0.0 0.0 0.0 0.0 0.0 -262656.0 0.0 25088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5789924 -1.7980114e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1451173 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.583825 0.0 7.0679636 0.0 0.0 0.0 0.0 0.0 0.0 -6.6170673 0.0 6.253689 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18740.0 -1203645.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 86050.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17496.0 0.0 805376.0 0.0 0.0 0.0 0.0 0.0 0.0 -262532.0 0.0 25072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 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 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 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 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 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 353048.0 25072.0 2392064.0 0.0 0.0 0.0 0.0 18740.0 2420736.0 28.0 324720.0 0.0 0.0 0.0 0.0 24.0 324912.0 64.0 324752.0 0.0 0.0 596.0 270336.0 0.0 0.0 0.0 0.0


Input: 0.056655668 0.008302762 0.0061714337 0.0056517995 0.0057553123 0.0049582636 0.004196409 0.0054313173 0.005049355 0.005624886 0.0037585502 0.0044738236 0.004955158 0.0031695622 0.0043206248 0.0046353037 0.005040039 0.003780288 0.0049272096 0.0041591446 0.00436203 0.0031747378 0.004104283 0.0038486063 0.0050679874 0.0033517447 0.003159211 0.0029263073 0.004153969 0.0034459415 0.0037875338 0.0037885688 0.006168328 0.0038206577 0.0034852764 0.003021539 0.004896156 0.00416225 0.00383722 0.0037140397 0.004735711 0.003895187 0.0033393232 0.0030929628 0.004371346 0.0037316368 0.0037202504 0.0035763676 0.0055079167 0.003952119 0.0031064195 0.002900429 0.00367781 0.0030660494 0.002690298 0.0028755858 0.004167426 0.003321726 0.0035266816 0.0033548502 0.00400077 0.0032202834 0.0035101194 0.0034542226 0.0065989415 0.0039552245 0.003612597 0.0032151078 0.004152934 0.0032223538 0.0035422083 0.0030681198 0.004995528 0.003789604 0.0036985127 0.003587754 0.0041239504 0.003127122 0.0035649813 0.0034645738 0.005163219 0.0036270889 0.003644686 0.0033310424 0.003933487 0.0033817636 0.003361061 0.0035359976 0.0046570413 0.003644686 0.0038030606 0.0035028735 0.0041094585 0.0033848688 0.0036860912 0.003790639 0.0059178276 0.0036312295 0.0033341476 0.002957361 0.0040111216 0.0030505226 0.0032678994 0.0030277497 0.004968615 0.0031654218 0.0031902648 0.003053628 0.0035732621 0.0028310753 0.0030826116 0.0032006162 0.004510053 0.0032937776 0.003223389 0.0031467895 0.0038910466 0.0033269017 0.0032979182 0.0036229484 0.0046166712 0.0032948127 0.0034780304 0.0031716325 0.004031824 0.0031975107 0.0034687142 0.0033393232 0.0086412495 0.0046021794 0.0040142266 0.003538068 0.004360995 0.0034324848 0.0030205038 0.0033910796 0.0045369663 0.0038310091 0.002964607 0.0031881945 0.0037243909 0.0027979512 0.0028466024 0.0029749582 0.0052315374 0.0032109674 0.0035101194 0.00302982 0.0036571077 0.0031778433 0.003304129 0.0032585834 0.0045390367 0.002844532 0.003038101 0.0027027195 0.0035173653 0.0032254593 0.0029801338 0.0031488596 0.0050048446 0.0034231686 0.0032668642 0.0028010567 0.0037761473 0.003014293 0.0030474172 0.0031788785 0.0041446527 0.003007047 0.0031209113 0.0030122227 0.003643651 0.002837286 0.0029190613 0.00302982 0.004678779 0.0031084898 0.0038444658 0.0028652346 0.0035649813 0.0031478247 0.0029863445 0.0031178058 0.0042554117 0.0031478247 0.003336218 0.0031861244 0.0036581426 0.0031902648 0.0033310424 0.0033517447 0.006714876 0.0040535615 0.0037274964 0.0033331125 0.0041167047 0.0032513374 0.003304129 0.0032254593 0.0043330463 0.0033269017 0.0031209113 0.003086752 0.0036540022 0.0029873797 0.0030805413 0.0027938108 0.0042460957 0.00327204 0.003095033 0.003006012 0.0037130045 0.003021539 0.0029407989 0.0029480448 0.003977997 0.0031178058 0.0027275626 0.0026478576 0.0035339273 0.002941834 0.003580508 0.0028931831 0.004954123 0.0032306348 0.0034003959 0.0029759933 0.0038040958 0.003069155 0.0031975107 0.0029035343 0.0044438047 0.005443739 0.003466644 0.003136438 0.0037927094 0.0030857169 0.0032534075 0.0031975107 0.004612531 0.0033279369 0.0034190281 0.003039136 0.0037357772 0.0030857169 0.0033175857 0.003240986 0.0043506436 0.003037066 0.0031975107 0.0028714454 0.0040183673 0.0030991735 0.004225393 0.0045131585 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045775073 0.00029390177 0.0002726496 0.0002643561 0.00030945212 0.00023895717 0.0003296676 0.0003125622 0.00032655752 0.00035247477 0.00032655752 0.00035247477 0.00052145537 0.00015135683 0.0001866043 0.0007376053 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09918796 0.062032454 0.062438834 0.055331286 0.060597155 0.059548024 0.054940972 0.054484826 0.060469124 0.053155273 0.052133612 0.052971777 0.056427065 0.050578058 0.05665462 0.05384726 4026.0 5.702931 22960.0 0.01716028 0.010452962 0.009364111 0.008754356 0.013458188 0.0125 0.0118466895 0.011454704 0.012630662 0.009756098 0.008493031 0.00858014 0.013937282 0.010496516 0.011759582 0.009930314 0.01672474 0.011890244 0.008710802 0.0075348434 0.009799652 0.008449477 0.007883275 0.00836237 0.010409407 0.008405923 0.009625436 0.008885018 0.011585366 0.008972125 0.009668989 0.009146341 0.017987804 0.010932055 0.0103223 0.009059234 0.010844948 0.008841463 0.010670732 0.008275261 0.014198606 0.011585366 0.009756098 0.008928572 0.011454704 0.00945122 0.011716028 0.009538327 0.014764808 0.009625436 0.010017422 0.008972125 0.0120209055 0.009364111 0.009581882 0.009799652 0.013719512 0.00923345 0.010496516 0.009581882 0.011106272 0.009843206 0.010409407 0.010670732 0.017987804 0.0109756095 0.009756098 0.008188154 0.013066202 0.008231707 0.009364111 0.008318815 0.015418119 0.009277004 0.008885018 0.008710802 0.0113240415 0.008013938 0.009930314 0.007926829 0.013240418 0.007970383 0.008667247 0.008841463 0.011541812 0.009538327 0.008231707 0.007883275 0.010888502 0.009015679 0.011890244 0.008536586 0.011280488 0.008972125 0.010017422 0.008710802 6.5546474 0.0 0.0 0.0 14.0 966064.0 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: 0.34421876 0.027109375 0.030234374 0.010625 0.019296875 0.007734375 0.01875 0.0046875 0.013203125 0.00390625 0.013828125 0.00421875 0.003984375 0.001796875 0.003046875 0.00125 0.002734375 0.010390625 0.007421875 0.0028125 0.0034375 0.003515625 0.003828125 0.00296875 0.00171875 0.001875 0.000546875 0.001171875 0.001953125 0.001484375 0.0021875 0.001328125 0.00609375 0.004140625 0.00203125 0.001171875 0.001328125 0.00125 0.003984375 0.00078125 0.00765625 0.000703125 0.004140625 0.00359375 0.003671875 0.00171875 0.00484375 0.000546875 0.003984375 0.00671875 0.001875 0.00109375 0.0015625 0.000859375 0.0009375 0.000546875 0.0009375 0.000859375 0.00046875 0.00078125 0.002109375 0.000703125 0.000703125 0.00109375 0.002890625 0.005234375 0.00171875 0.004296875 0.005625 0.0025 0.001640625 0.002265625 0.0009375 0.002109375 0.0003125 0.000625 0.00171875 0.002578125 0.003359375 0.004453125 0.004609375 0.0009375 0.001875 0.00453125 0.004921875 0.001875 0.005546875 0.00109375 0.00109375 0.0025 0.000234375 0.0003125 0.000625 0.00078125 0.00046875 0.001875 0.00125 0.01640625 0.004140625 0.0046875 0.006640625 0.032265626 0.00125 0.005703125 0.004609375 0.017109375 0.000546875 0.0015625 0.011640625 0.0059375 0.0178125 0.0196875 0.0075 0.00109375 0.01546875 0.01359375 0.0221875 0.006328125 0.001953125 0.004375 0.00140625 0.00546875 0.000390625 0.010859375 0.00046875 0.0028125 0.00078125 7.8125e-05 0.006171875 0.002109375 0.00015625 0.000234375 0.00046875 0.00015625 0.000390625 7.8125e-05 0.00046875 0.000234375 0.00015625 0.000234375 0.000546875 0.000390625 0.0003125 7.8125e-05 0.000703125 0.00015625 7.8125e-05 0.000390625 0.00015625 0.00015625 0.0 7.8125e-05 0.00046875 0.0003125 0.00015625 0.000234375 0.00015625 0.0003125 0.00015625 0.00015625 0.000703125 7.8125e-05 7.8125e-05 0.00078125 0.00109375 0.000234375 0.000234375 7.8125e-05 0.000390625 0.000390625 0.00015625 7.8125e-05 0.0003125 0.00015625 0.0003125 0.000234375 0.000390625 0.00015625 0.000234375 0.000234375 0.000390625 7.8125e-05 0.000234375 0.00109375 0.0003125 0.0003125 7.8125e-05 0.000390625 0.00015625 0.000234375 0.000234375 0.00015625 0.000234375 7.8125e-05 7.8125e-05 0.000390625 0.000390625 0.00015625 0.00265625 0.00015625 0.000234375 7.8125e-05 7.8125e-05 0.000703125 0.0003125 0.000234375 0.0 0.000546875 0.000234375 0.000390625 7.8125e-05 0.000234375 0.001875 7.8125e-05 7.8125e-05 7.8125e-05 0.000390625 0.0015625 0.0 7.8125e-05 0.000546875 0.0003125 0.000234375 7.8125e-05 0.000859375 0.0 0.0003125 0.000390625 0.00015625 0.0 0.0 0.000546875 0.000234375 0.0003125 0.00015625 0.0 0.000234375 0.00015625 0.000234375 0.0003125 0.000625 0.000703125 0.0003125 7.8125e-05 0.00015625 0.0 0.00046875 7.8125e-05 0.00015625 0.001015625 0.0003125 0.000546875 0.0 0.0 0.001171875 0.0003125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.061745383 0.0006658381 0.0027077415 0.0031516335 0.0029740767 0.0016424005 0.012251421 0.004971591 0.00017755682 0.00013316762 0.00013316762 8.877841e-05 4.4389206e-05 8.877841e-05 4.4389206e-05 8.877841e-05 0.06720526 0.0073242188 0.010253906 0.0015980114 0.009321733 0.005859375 0.046875 0.031116832 0.00035511365 0.00026633524 0.00035511365 0.00026633524 0.00031072443 0.0 8.877841e-05 0.00062144885 0.12269176 0.015758168 0.019131748 0.0074573862 0.013183594 0.007990057 0.043900922 0.034224078 0.001953125 0.00053267047 0.0014204546 0.0009765625 0.0013316761 0.00035511365 0.0008433949 0.0009765625 0.10054155 0.01571378 0.007368608 0.0078125 0.006525213 0.007768111 0.013139204 0.008300781 0.0051047583 0.0010653409 0.0011097301 0.0015536222 0.0020419033 0.0016424005 0.0011985085 0.0009321733 0.07501776 0.013316762 0.006658381 0.0056818184 0.008345171 0.009232954 0.028275924 0.017001064 0.00501598 0.001287287 0.0017755682 0.0013316761 0.0020419033 0.0031516335 0.0013760653 0.0023082385 0.03622159 0.0014204546 0.0031960227 0.0016867898 0.0055486504 0.004305753 0.020463424 0.008833452 0.0010653409 0.0007102273 0.0010209517 0.0007990057 0.0012428977 0.0018643466 0.0008433949 0.0016867898 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 237.0 13.088608 3102.0 0.006447453 0.00032237265 0.0 0.0012894906 0.00032237265 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00032237265 0.0012894906 0.010638298 0.00032237265 0.0035460992 0.0022566086 0.0025789812 0.0022566086 0.001934236 0.0006447453 0.0006447453 0.000967118 0.000967118 0.00032237265 0.0 0.00032237265 0.0006447453 0.0 0.0006447453 0.0 0.00032237265 0.014506769 0.003868472 0.014829143 0.017408123 0.0058027077 0.001934236 0.005480335 0.0016118633 0.00483559 0.0 0.001934236 0.004513217 0.005480335 0.0012894906 0.015151516 0.013862024 0.0 0.0070921984 0.013539651 0.016763378 0.00483559 0.0022566086 0.0025789812 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0061250804 0.0012894906 0.056092843 0.01579626 0.016441006 0.022243714 0.11476467 0.004513217 0.018052869 0.016763378 0.058671825 0.0006447453 0.005480335 0.039651837 0.020309478 0.061895553 0.06673114 0.026756931 0.0012894906 0.051257253 0.044165056 0.0825274 0.02288846 0.008059316 0.015151516 0.0041908445 0.018375242 0.0012894906 0.0 0.0 0.0 0.0 0.0 4.9727936 0.0 0.0 0.0 1.0 12800.0 40960.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1470132900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 10240.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10240.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.793915 0.0 2.434384 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10164.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 18272.0 1536.0 24576.0 0.0 0.0 0.0 0.0 12.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0