Input: 0.13622205 0.0089936545 0.0061199116 0.004099526 0.004606044 0.003005466 0.0026657342 0.0034920834 0.004282422 0.0028135672 0.0026889516 0.002472414 0.0031011784 0.002321264 0.0026221424 0.0037787468 0.005020166 0.0022667744 0.0023018373 0.002787033 0.0027244883 0.0022928347 0.0024766785 0.0025378016 0.002716907 0.0025496474 0.0025823412 0.0024705187 0.0028723215 0.0024871025 0.002027967 0.003019207 0.0049381945 0.004503224 0.00212747 0.0022231825 0.0025297466 0.0020876687 0.0020289146 0.0020990407 0.0026140874 0.002081983 0.0024634113 0.0022449784 0.0022018605 0.0024027617 0.0022260256 0.0024065524 0.003460811 0.0027216454 0.0023563271 0.0032305324 0.0023667512 0.002316526 0.002130313 0.0022724601 0.0025444352 0.002337374 0.0022430832 0.0028566853 0.0024837859 0.0024842597 0.0024468275 0.0036185943 0.003169883 0.004052617 0.023315934 0.0022497165 0.0026813704 0.0029855655 0.0029467118 0.0023620129 0.0025036864 0.0026562577 0.0023449552 0.0021620593 0.0022554025 0.002992199 0.002216549 0.0025889748 0.0028486303 0.0022099155 0.0025136366 0.002905963 0.0023918638 0.0031769904 0.002746758 0.0036593433 0.0023075233 0.0026572053 0.0023042064 0.0022601408 0.0023316883 0.0025098461 0.0025060554 0.0031310294 0.0025382754 0.0028528946 0.0021805384 0.0028685308 0.0025510688 0.002938183 0.0032177393 0.0029476595 0.0047481908 0.0027827688 0.0023151045 0.0023473245 0.0027003232 0.0024245577 0.002598925 0.0035105625 0.0036527098 0.0028424705 0.0033911588 0.0032674908 0.0037777992 0.0036181204 0.00262309 0.0035337799 0.0031248697 0.002986987 0.00398486 0.002270091 0.0025131628 0.0026429906 0.0028718477 0.0036574479 0.0046283132 0.0033954233 0.0024060786 0.003533306 0.0034428057 0.0036010628 0.0022582456 0.002550595 0.004602253 0.0032177393 0.0021431062 0.004995527 0.0024814166 0.0030713277 0.0024330865 0.0031272387 0.0022572977 0.0022047034 0.002030336 0.002162533 0.0022966252 0.002203282 0.002068242 0.0022255515 0.0023297928 0.002631145 0.0020033282 0.0021341036 0.0022795675 0.0023658036 0.0023875996 0.0028727953 0.0024046572 0.0023042064 0.0021487921 0.0021558995 0.0021265224 0.0024487227 0.0019649484 0.0022222348 0.0023473245 0.0022478213 0.0025956081 0.0021203626 0.0020526059 0.0023283714 0.002119415 0.003013521 0.0022980466 0.0021786431 0.0020867211 0.0024752568 0.0023198426 0.0024207672 0.0022923609 0.0028988556 0.0023307407 0.0022317113 0.002011857 0.002469571 0.002337374 0.0028718477 0.0025013173 0.0031485609 0.0040199235 0.0028372584 0.0026979542 0.002717855 0.0024259791 0.0020170691 0.0029320233 0.0028315727 0.0025169535 0.0027941405 0.0023785967 0.0023951808 0.0025951343 0.0022051772 0.0025823412 0.0029779843 0.0025112676 0.0027135904 0.00231084 0.0028192531 0.0024619899 0.0021393157 0.002302785 0.0025378016 0.0024501442 0.0029016985 0.0023345312 0.002548226 0.0024089215 0.0023719633 0.0023705417 0.0031499823 0.0034868713 0.0025107937 0.0024420891 0.0024970528 0.0025979774 0.0024894716 0.0023231595 0.00277424 0.0036636076 0.0026591006 0.0023013635 0.0033186637 0.0028543163 0.0027960357 0.0024998959 0.007931341 0.008447335 0.007877799 0.0027576562 0.0070225466 0.004505593 0.0038308676 0.032227617 0.004656269 0.0055390033 0.005620975 0.0043023224 0.00430943 0.006891297 0.0047249733 0.006167768 0.073205344 0.002901244 4.7405948e-07 1.8962379e-06 0.0 3.3184162e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.6887134e-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 0.0040162317 1.1377427e-05 1.1377427e-05 1.801426e-05 0.00012941823 6.873862e-05 1.1377427e-05 1.1377427e-05 1.1377427e-05 1.1377427e-05 1.1377427e-05 1.1377427e-05 1.1377427e-05 1.1377427e-05 1.1377427e-05 1.1377427e-05 0.0039574485 0.0012128812 4.313941e-05 3.0813865e-06 0.0029353763 1.9910498e-05 4.9776245e-06 5.6887134e-06 5.6887134e-06 3.3184162e-06 7.347922e-06 4.7405947e-06 9.955249e-06 4.9776245e-06 1.2088516e-05 0.0029344282 0.012052725 0.0021391932 0.0001761131 9.741922e-05 0.0029285024 0.00082675973 0.00011709269 0.00014245487 9.0782385e-05 3.0576837e-05 5.7835256e-05 5.49909e-05 9.7182194e-05 5.356872e-05 0.0007115633 0.009064017 0.011648352 0.0007843314 0.00052715413 0.0006575205 0.006568094 0.000334686 0.0005612864 0.00052146544 0.00014529923 6.6131295e-05 6.968674e-05 6.897565e-05 0.00013747724 0.00012420358 0.0011740082 0.013989969 0.013240007 0.000885069 0.0007720058 0.00030979785 0.004481758 0.00020597884 0.00060703314 0.00042783868 0.00037332182 0.00018701646 0.00025883646 0.00013700318 0.00026594737 0.00016283942 0.0012391914 0.011883249 0.010446848 0.0003242567 0.001028709 0.00018749051 0.0037415144 0.0002000531 0.001188467 0.0010777742 0.0002806432 0.00019223112 0.00018061665 0.00014292893 0.00021569706 0.00017066141 0.0014212303 0.015123208 0.009198176 0.00031477548 0.0013754836 0.00029984262 0.0027995582 0.00026736953 0.0016814889 0.0015819365 0.0004951551 0.00026334004 0.00032899727 0.00024485172 0.00036147033 0.00037806242 0.0012394285 0.013636083 0.009565335 0.00045462302 0.0014364002 0.00044846025 0.0015257604 0.00050795474 0.002119283 0.0024328732 0.0012562575 0.0004584155 0.0004560452 0.0005086658 0.0007136965 0.00053639826 0.0011453277 0.013327708 0.017631693 0.00096684427 0.0012183328 0.001163816 0.0011962891 0.0010910479 0.002240168 0.002997952 0.0029697455 0.000996947 0.00095309655 0.0012498578 0.0013804612 0.0014411408 0.0016945256 0.01420614 0.020565648 0.0012022149 0.0015342934 0.0028993478 0.0019727985 0.0022190723 0.0021425118 0.0031268962 0.0030749866 0.0019379552 0.002105535 0.002088469 0.0022923145 0.0025137004 0.0025201002 0.02061969 0.01933736 0.0016447493 0.0016369274 0.002369112 0.0025580248 0.0034080136 0.003092527 0.003571327 0.0040939776 0.0022121985 0.002598794 0.0026514146 0.0029377465 0.0029545757 0.0030102776 0.018622003 0.014425866 0.0021951324 0.0016523342 0.0024672425 0.002415333 0.003284995 0.0020687955 0.0029650049 0.0058503677 0.0013818834 0.0014963687 0.0018644759 0.0035258173 0.001929422 0.0031747762 0.009981796 0.00962957 0.002193473 0.001570559 0.0019801464 0.0020683215 0.0027632925 0.0019910499 0.0025087227 0.0043393034 0.00097537733 0.001059997 0.0011664233 0.0025869424 0.001594973 0.0023077214 0.0049534473 0.03453784 0.028803617 0.028191842 0.02896053 0.028173828 0.027265767 0.027684124 0.029394532 0.028903406 0.027742198 0.027026605 0.028687946 0.028398532 0.02845779 0.029498586 0.033806838 7265.0 8.592705 62426.0 0.022586742 0.015218019 0.007080383 0.0065037003 0.007160478 0.005766828 0.0058789607 0.0054624677 0.0055906195 0.0055265436 0.005190145 0.005142088 0.0062954538 0.007464838 0.007977446 0.0070002885 0.0170602 0.012767117 0.009130811 0.009194886 0.00789735 0.007833275 0.007881331 0.007721142 0.0077371607 0.008025502 0.0064716623 0.008137635 0.007881331 0.009226925 0.006263416 0.007368725 0.0077051227 0.018806268 0.00712844 0.010107968 0.015618492 0.008153654 0.016483517 0.007785218 0.0069362125 0.016147118 0.0054304297 0.005670714 0.008313844 0.01938295 0.00775318 0.0070964023 0.011245314 0.0055105244 0.010091949 0.02418864 0.01007593 0.0055906195 0.009867683 0.04371576 0.008329863 0.00712844 0.009114792 0.0064556436 0.00882645 0.0065037003 0.006567776 0.012126357 0.0075128954 0.018517924 0.008153654 0.015282094 0.012446737 0.023724088 0.01518598 0.009258962 0.0074488195 0.019190721 0.0054144105 0.005830904 0.015474321 0.010123987 0.013423894 0.022827027 0.014112709 0.004629481 0.018582001 0.017797071 0.023627976 0.011213277 0.007625028 0.025165796 0.009627399 0.0064556436 0.0045814244 0.0049658795 0.0054624677 0.004629481 0.005686733 0.005718771 6.378455 2.0 20.0 0.0 22.0 2110488.0 2109440.0 1.0 4.0 106.0 1.0 1.0 1.0 0.0 0.0 1532486800.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 10.0 0.0 14.0 10.0 6.0 0.0 6.0 0.0 188928.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -188928.0 -3072.0 1891840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.604911 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.5198388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2576094 -5.4710736 7.099789 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6092.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -188810.0 -2902.0 1891600.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 170.0 192736.0 140.0 205252.0 1891600.0 208896.0 0.0 0.0 17432.0 2093056.0 6092.0 2101248.0 84.0 62352.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 62440.0 0.0 0.0 448.0 204800.0 0.0 0.0 0.0 0.0


Input: 0.45595163 0.014611394 0.0038075293 0.0046642236 0.005949265 0.0058540762 0.0021417353 0.0016182 0.0039027177 0.001189853 0.0014754176 0.0012850412 0.0015706059 0.0029032412 0.00042834706 0.009090477 0.0027128647 0.0008566941 0.00033315882 0.0005235353 0.001665794 0.0029508353 0.00033315882 0.00042834706 0.0013326353 0.00028556472 0.00019037646 0.00095188234 0.00076150586 0.0013802294 0.00076150586 0.0048070056 0.0114225885 0.0009994764 0.00028556472 0.00033315882 0.0049973824 0.0036171528 0.00028556472 0.00019037646 0.0069963355 0.0020465471 0.0009042882 0.00042834706 0.0008091 0.0011422589 0.0057112942 0.0013326353 0.0053781355 0.0042358763 0.0011422589 0.0011422589 0.0019989528 0.0008566941 0.0016182 0.00014278236 0.0015230117 0.0021417353 0.001665794 0.00057112944 0.0021417353 0.0017133883 0.00042834706 0.00023797058 0.004759412 0.0062348293 0.0017609823 0.0043786587 0.0043786587 0.0025224881 0.0008566941 0.0029984294 0.032506783 0.0032364 0.00042834706 0.00038075293 0.0084717525 0.0011422589 0.0030460234 0.00042834706 0.0030460234 0.00042834706 0.00095188234 0.0021417353 0.002379706 0.0025224881 0.002379706 0.0010946647 0.00076150586 0.00014278236 0.00042834706 0.0018561706 0.0013326353 0.0019037647 0.0015706059 0.003188806 0.0018561706 0.004949788 0.0014754176 0.0040930943 0.004473847 0.009376041 0.0038075293 0.0013802294 0.0011422589 0.0054257293 4.7594116e-05 0.0009994764 0.005282947 0.0027604587 0.0049021943 0.0053781355 0.005282947 0.0021893294 0.006948741 0.0033791824 0.0113274 0.0054257293 0.0011422589 0.0014754176 0.0019037647 0.0017133883 0.00028556472 9.518823e-05 0.00033315882 9.518823e-05 0.00038075293 0.00042834706 0.0017609823 0.00076150586 0.0007139118 0.010565894 0.0038075293 0.0064728 0.00057112944 0.00038075293 0.00023797058 0.014896959 0.00019037646 0.009042882 0.00042834706 0.0064252056 0.00038075293 0.00019037646 0.015039741 0.00023797058 0.00038075293 0.00014278236 0.00047594117 0.00023797058 0.00047594117 0.00019037646 0.00057112944 0.00038075293 0.00019037646 0.00019037646 0.00019037646 0.00019037646 0.00019037646 0.00014278236 0.0034743706 0.00028556472 0.0006187235 0.0008566941 0.0020941412 0.001189853 0.0022369234 0.0009994764 0.00057112944 9.518823e-05 0.00014278236 9.518823e-05 0.00057112944 0.00014278236 0.00019037646 0.00014278236 0.0009042882 0.00047594117 9.518823e-05 0.00019037646 9.518823e-05 0.00014278236 0.00028556472 0.0008091 0.0026176765 0.0021893294 0.0015230117 0.00014278236 0.00023797058 0.00019037646 0.00047594117 0.00019037646 0.007995811 0.0010470706 0.001665794 0.0040930943 0.0036171528 0.0007139118 0.0010946647 0.0019989528 0.0010470706 0.00095188234 0.00066631765 0.0007139118 0.00028556472 0.00023797058 0.00066631765 9.518823e-05 0.002379706 0.00038075293 0.002379706 0.0008091 0.00057112944 0.00019037646 0.00019037646 0.00033315882 0.0008091 0.0006187235 0.00042834706 0.0009994764 0.00047594117 0.00033315882 0.00033315882 0.00042834706 0.0010470706 0.00033315882 0.00033315882 0.00047594117 0.00038075293 0.00038075293 0.0005235353 0.00019037646 0.008376565 0.0021417353 0.00028556472 0.0017609823 0.0023321118 0.00033315882 0.00042834706 0.00033315882 0.00095188234 0.0009042882 0.0006187235 0.00038075293 0.00033315882 0.00033315882 0.0005235353 0.00057112944 0.0016182 0.0015230117 0.001237447 0.00057112944 0.0008091 0.00057112944 0.0017133883 0.0202275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.046258222 0.00010279605 0.00033408718 0.0011307566 0.0010279606 0.00043688322 0.0017475329 0.0006938733 0.00010279605 2.5699013e-05 0.00053967925 7.709704e-05 7.709704e-05 2.5699013e-05 2.5699013e-05 2.5699013e-05 0.08755654 0.0006424753 0.00089946546 0.001850329 0.0010279606 0.0017989309 0.0030581825 0.0023386101 0.00046258225 0.0005653783 0.0032123767 0.00017989309 0.00043688322 0.00043688322 0.00043688322 0.00035978618 0.041632403 0.00017989309 0.0008223684 0.0010536596 0.0014648438 0.00066817435 0.0037520558 0.0015162418 0.00015419407 7.709704e-05 0.00087376643 0.00010279605 0.00015419407 5.1398027e-05 7.709704e-05 5.1398027e-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 0.03674959 0.0017989309 0.0030838817 0.0023900082 0.001850329 0.0009765625 0.0008223684 0.0021073192 0.0005139803 0.00033408718 0.00030838815 0.00017989309 0.0005139803 0.0005139803 0.00023129112 0.00025699014 0.057180304 0.00033408718 0.0062962584 0.0023643093 0.0048571136 0.0025699013 0.018528989 0.010048314 0.00030838815 7.709704e-05 0.0015162418 0.00030838815 0.00023129112 0.0002055921 0.0 0.00043688322 0.054559004 0.001978824 0.007144326 0.0029553864 0.005679482 0.0027754933 0.013594778 0.008557771 0.0005910773 0.00048828125 0.00442023 0.0006167763 0.0005910773 0.0005139803 0.00030838815 0.00048828125 0.027652139 0.0013877467 0.0017218338 0.0010279606 0.0043945312 0.0014391447 0.0019017269 0.0015419408 0.0036749588 0.0003854852 0.00033408718 0.0006167763 0.0017732319 0.00066817435 0.00182463 0.002287212 0.022049753 0.0007709704 0.0038034539 0.00089946546 0.0029553864 0.0007452714 0.005782278 0.0044716285 0.0015676398 0.0043431334 0.00015419407 0.00030838815 0.0013620477 0.00048828125 0.00066817435 0.0022615131 0.015342311 0.0013106497 0.0024157073 0.0022358142 0.009174548 0.0020559211 0.0006938733 0.0007966694 0.007658306 0.0012849506 0.00015419407 0.0010279606 0.0022615131 0.00084806746 0.00208162 0.0032894737 0.10382401 0.0129780015 0.016601562 0.012284128 0.049778987 0.013928865 0.0069387336 0.011564556 0.04610403 0.0130037 0.0022358142 0.0078125 0.021227384 0.008737665 0.015470806 0.025930304 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 14.2 2272.0 0.057658453 0.00044014084 0.0 0.0 0.0017605633 0.002640845 0.0 0.0 0.013204225 0.01012324 0.00528169 0.0 0.00044014084 0.0013204225 0.03521127 0.0057218308 0.014964789 0.0008802817 0.0017605633 0.0035211267 0.01012324 0.0 0.01056338 0.0 0.0 0.0 0.011003521 0.0 0.0035211267 0.0 0.0 0.0 0.0022007043 0.023767605 0.0008802817 0.029929578 0.0044014086 0.003080986 0.003080986 0.025088029 0.01056338 0.0035211267 0.00044014084 0.0008802817 0.006161972 0.0008802817 0.0114436615 0.0017605633 0.0048415493 0.0013204225 0.0048415493 0.009242957 0.0074823946 0.019806338 0.009683099 0.006161972 0.0008802817 0.0 0.0 0.006161972 0.0044014086 0.008802817 0.0070422534 0.02640845 0.00044014084 0.032130282 0.007922535 0.03125 0.030369718 0.069102116 0.007922535 0.008802817 0.006161972 0.039172534 0.00044014084 0.00528169 0.039172534 0.02112676 0.036091547 0.035651408 0.013204225 0.00044014084 0.04181338 0.025528168 0.054137323 0.024647888 0.0066021127 0.006161972 0.009242957 0.01056338 0.0008802817 0.0 0.00044014084 0.0 0.0 0.0 5.4682117 0.0 0.0 0.0 9.0 21011.0 65536.0 0.0 3.0 53.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 27.0 4.0 0.0 5.0 2.0 9216.0 1024.0 4096.0 13.0 1.0 0.0 1.0 6.0 0.0 0.0 -512.0 0.0 0.0 -512.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 2048.0 0.0 0.0 -1024.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 -9216.0 -2560.0 1024.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 -0.9856294 0.0 0.0 -3.5710654 0.0 0.0 -0.8452005 0.0 0.0 0.0 0.0 0.0 4.2316103 0.0 0.0 -3.9046276 0.0 3.945702 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9708605 0.0 0.0 0.0 0.0 0.0 4.345956 0.0 0.0 -6.0025506 -4.1215644 3.3053844 0.0 0.0 0.0 -3.9292293 0.0 0.0 0.0 0.0 -104.0 0.0 0.0 -108.0 0.0 0.0 -88.0 0.0 0.0 0.0 0.0 0.0 1872.0 0.0 0.0 -552.0 0.0 684.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2384.0 0.0 0.0 -88.0 0.0 0.0 0.0 0.0 0.0 166.0 0.0 0.0 -9152.0 -2160.0 920.0 0.0 0.0 0.0 -32.0 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 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 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 166.0 36864.0 2160.0 40960.0 920.0 53248.0 684.0 24576.0 0.0 0.0 108.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 49184.0 0.0 0.0 0.0 0.0 456.0 41516.0 0.0 0.0 0.0 0.0


Input: 0.3169643 0.011607143 0.006071429 0.006964286 0.0064285714 0.008214286 0.003392857 0.0030357144 0.004285714 0.004107143 0.0028571428 0.0035714286 0.00375 0.005357143 0.002142857 0.00625 0.005 0.0010714285 0.0023214286 0.00035714285 0.00089285715 0.0039285715 0.00053571427 0.00035714285 0.0010714285 0.0026785715 0.00035714285 0.00035714285 0.00089285715 0.0 0.00035714285 0.00053571427 0.006964286 0.00053571427 0.0007142857 0.0 0.016964287 0.00089285715 0.00035714285 0.00035714285 0.0017857143 0.00017857143 0.00035714285 0.0019642857 0.00035714285 0.00053571427 0.0014285714 0.00035714285 0.005 0.0007142857 0.00089285715 0.0030357144 0.0014285714 0.00017857143 0.00035714285 0.00017857143 0.003392857 0.0019642857 0.00017857143 0.0016071429 0.0014285714 0.00053571427 0.0010714285 0.0007142857 0.0073214285 0.0125 0.0035714286 0.004107143 0.0125 0.021428572 0.011607143 0.002142857 0.045714285 0.016964287 0.00053571427 0.00089285715 0.011785714 0.005357143 0.0076785716 0.008571428 0.0048214286 0.0010714285 0.011785714 0.0055357143 0.008214286 0.0064285714 0.0023214286 0.003392857 0.0007142857 0.0010714285 0.0007142857 0.0014285714 0.004107143 0.00035714285 0.00089285715 0.018392857 0.0016071429 0.00089285715 0.00053571427 0.00053571427 0.0019642857 0.00089285715 0.0039285715 0.00053571427 0.0014285714 0.00035714285 0.00053571427 0.00017857143 0.0014285714 0.00035714285 0.00035714285 0.0007142857 0.0025 0.0007142857 0.0026785715 0.00053571427 0.008035715 0.0046428572 0.00017857143 0.0014285714 0.00125 0.00035714285 0.00017857143 0.0007142857 0.0010714285 0.0 0.00053571427 0.0007142857 0.006071429 0.00035714285 0.00035714285 0.008571428 0.0016071429 0.0048214286 0.00053571427 0.00089285715 0.0046428572 0.005178571 0.006785714 0.030178571 0.0007142857 0.009821429 0.00089285715 0.00017857143 0.0017857143 0.00053571427 0.0007142857 0.00053571427 0.00035714285 0.00089285715 0.00017857143 0.0 0.0007142857 0.0 0.00017857143 0.0 0.00053571427 0.00017857143 0.0 0.00017857143 0.0017857143 0.00035714285 0.00035714285 0.00017857143 0.00125 0.00017857143 0.00053571427 0.00017857143 0.00089285715 0.00035714285 0.00035714285 0.00017857143 0.00035714285 0.00017857143 0.00017857143 0.00017857143 0.00017857143 0.0010714285 0.0026785715 0.00035714285 0.0 0.00017857143 0.0014285714 0.0007142857 0.00125 0.0014285714 0.00017857143 0.00089285715 0.00017857143 0.00017857143 0.00089285715 0.0010714285 0.005892857 0.0035714286 0.002142857 0.0073214285 0.0026785715 0.0010714285 0.00125 0.0014285714 0.0035714286 0.0017857143 0.0017857143 0.0017857143 0.018214285 0.00053571427 0.0017857143 0.0023214286 0.00125 0.0023214286 0.0030357144 0.0017857143 0.0007142857 0.00035714285 0.00089285715 0.00125 0.0017857143 0.00053571427 0.00089285715 0.00035714285 0.00053571427 0.0 0.00053571427 0.00089285715 0.0016071429 0.00089285715 0.0014285714 0.0007142857 0.00017857143 0.00053571427 0.0 0.0007142857 0.011071429 0.0014285714 0.00035714285 0.0019642857 0.0028571428 0.0007142857 0.00089285715 0.0010714285 0.0007142857 0.00053571427 0.0007142857 0.0016071429 0.00017857143 0.0 0.00017857143 0.00089285715 0.00125 0.0014285714 0.0010714285 0.0010714285 0.0010714285 0.0010714285 0.0019642857 0.019107142 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.19311523 0.009887695 0.01574707 0.009887695 0.09350586 0.044799805 0.009033203 0.010864258 0.03479004 0.0025634766 0.003540039 0.006958008 0.029418945 0.008056641 0.013183594 0.0146484375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.12915039 0.014404297 0.022583008 0.018798828 0.08239746 0.019897461 0.0087890625 0.01928711 0.067993164 0.0041503906 0.0041503906 0.0068359375 0.04309082 0.012451172 0.018676758 0.02734375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 59.0 14.898305 879.0 0.007963595 0.0034129692 0.0 0.0 0.0034129692 0.0 0.0011376564 0.0 0.0011376564 0.0 0.0 0.0 0.0 0.0011376564 0.009101251 0.0 0.005688282 0.0 0.0 0.0034129692 0.0011376564 0.0 0.0011376564 0.0 0.0011376564 0.0011376564 0.0 0.0 0.0011376564 0.0 0.0011376564 0.0 0.0022753128 0.048919227 0.013651877 0.021615472 0.036405005 0.13196814 0.0705347 0.010238908 0.009101251 0.08418658 0.0 0.0011376564 0.02844141 0.01592719 0.043230943 0.05346985 0.020477816 0.0022753128 0.06825939 0.026166098 0.045506258 0.03526735 0.012514221 0.013651877 0.0 0.005688282 0.0011376564 0.0 0.0022753128 0.0 0.0011376564 0.11035267 0.0011376564 0.005688282 0.0 0.0011376564 0.0034129692 0.0045506256 0.0 0.0 0.0 0.0 0.0 0.0 0.0011376564 0.0011376564 0.0011376564 0.0034129692 0.0 0.0 0.0034129692 0.0011376564 0.0068259384 0.0022753128 0.0 0.0 0.0034129692 0.0 0.0 0.0 0.0 0.0 0.0 0.0011376564 4.559957 0.0 0.0 0.0 1.0 5600.0 5600.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1526953900.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2880.0 672.0 0.0 5.0 0.0 1.0 1.0 1.0 160.0 0.0 0.0 0.0 0.0 -32.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.25 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.3162975 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5261583 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2056856 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 144.0 0.0 0.0 0.0 0.0 -16.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1549.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2861.0 0.0 0.0 0.0 0.0 0.0 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 16.0 5568.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.26362586 0.029660733 0.005888651 0.0059137447 0.0075782924 0.0051525696 0.006331973 0.002935961 0.006649826 0.0030363356 0.003563303 0.0025010037 0.0025679201 0.0041488223 0.0015223501 0.009092278 0.0065996386 0.0022249732 0.0012128614 0.0025679201 0.001982401 0.00429102 0.0013466943 0.001296507 0.0030697938 0.0021245985 0.001296507 0.0012630487 0.0019656718 0.0020325882 0.0011292157 0.0016896413 0.010505889 0.0011794032 0.0015139856 0.0012630487 0.010681544 0.0013299652 0.0009786537 0.0014470691 0.003638584 0.0014387046 0.001371788 0.0024257228 0.0011208511 0.005294767 0.002116234 0.001848568 0.010037473 0.0034294701 0.0021831505 0.0057799118 0.002266796 0.0014052462 0.0011543094 0.0014554337 0.0034211054 0.0017481933 0.0013383297 0.003546574 0.0012797778 0.0017147351 0.0031367105 0.0056711724 0.0050020074 0.007887781 0.0016478185 0.0029108673 0.005294767 0.0043579363 0.0013550589 0.001371788 0.037673984 0.0062566916 0.0011794032 0.0013299652 0.0071600643 0.0035716675 0.0013132361 0.0012295905 0.003504751 0.0010204765 0.001505621 0.002459181 0.0024508163 0.0037975106 0.0018234743 0.002593014 0.0021078694 0.0012881424 0.0011626739 0.001371788 0.0035131157 0.0016812767 0.0015976311 0.0029275964 0.0029275964 0.006173046 0.0016394539 0.004751071 0.004132093 0.0074444595 0.00390625 0.0020074947 0.0027853989 0.0053198608 0.00080299785 0.0013634234 0.0042659263 0.0027853989 0.0047928933 0.0060308487 0.0046590604 0.001221226 0.0069091273 0.0056879013 0.013216007 0.006156317 0.0016143603 0.0016729122 0.0018569325 0.0018736616 0.0012881424 0.00076117506 0.0016310894 0.0007779042 0.00078626873 0.00092846627 0.009702891 0.0024508163 0.002250067 0.010823742 0.0032789079 0.005436965 0.0021747858 0.0007026231 0.0021664214 0.009677798 0.0011375803 0.020401165 0.0014303399 0.006666555 0.0006608003 0.00065243576 0.0020325882 0.00069425855 0.0007193523 0.0005687901 0.0011124866 0.0009451954 0.00063570664 0.0005604256 0.0012128614 0.0007779042 0.0006691649 0.0007946333 0.0009201017 0.0006608003 0.0006022484 0.0006440712 0.002417358 0.0011375803 0.0011459448 0.00086991437 0.0012295905 0.00086991437 0.00092846627 0.0010957575 0.0018987553 0.0012463196 0.0011626739 0.0011794032 0.001296507 0.0010539347 0.00086991437 0.00097028905 0.0015139856 0.0006608003 0.000685894 0.000685894 0.0010037473 0.000552061 0.00092846627 0.0008782789 0.002191515 0.0016059957 0.0013466943 0.0007695396 0.0011124866 0.00074444595 0.00084482064 0.00086991437 0.007260439 0.0030028773 0.0014888919 0.004801258 0.0040986347 0.0016729122 0.001656183 0.0029610547 0.0032538143 0.0025260975 0.001296507 0.0022249732 0.0071935225 0.00097028905 0.0014136108 0.0020660465 0.0027101177 0.0016394539 0.0019740365 0.0014052462 0.00072771683 0.00084482064 0.00085318525 0.00091173715 0.001848568 0.0011961323 0.0008782789 0.001371788 0.00080299785 0.0007779042 0.0007360814 0.0008113624 0.0029192318 0.0012797778 0.001221226 0.0009619245 0.0008615498 0.0007026231 0.00072771683 0.0007193523 0.008573675 0.002191515 0.0010873929 0.003370918 0.003370918 0.0009451954 0.0010539347 0.00089500804 0.003220356 0.0015223501 0.0021078694 0.0014470691 0.0011124866 0.0008615498 0.0018151097 0.001505621 0.0027184824 0.0019071199 0.001221226 0.0013383297 0.0013801525 0.0013216006 0.0014554337 0.017373193 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02628227 0.0009977921 0.0010062839 0.00016983696 0.0003736413 0.00029296876 0.0023140286 0.0013756794 0.0010996943 8.491848e-05 0.00014436142 6.368886e-05 6.793478e-05 0.00022927989 9.341032e-05 0.00018682065 0.06340863 0.001507303 0.002789572 0.0022078804 0.002352242 0.0012737772 0.0049337638 0.003294837 0.0031844429 0.00034816575 0.0003566576 0.00028872283 0.00030995245 0.00025900136 0.00022503396 0.00021654212 0.041295856 0.0005731997 0.0021526834 0.0015752377 0.0015582541 0.0011421535 0.0051036007 0.0029296875 0.001171875 0.0005519701 0.0005477242 0.000335428 0.00048828125 0.00045431385 0.0005180027 0.00047129756 0.016410496 0.00014011549 0.00057744567 0.0003736413 0.001061481 0.0004797894 0.0021908968 0.0015497622 0.0012780231 0.00015285326 9.341032e-05 0.00013162364 0.00036514946 8.491848e-05 0.0003226902 0.0008746603 0.05307405 0.004475204 0.0039232336 0.0028150475 0.0030910326 0.0037703805 0.014533797 0.009315557 0.0022800611 0.0009850543 0.0008109715 0.0007600204 0.0010444972 0.0010317595 0.0010657269 0.0013714334 0.018036684 0.00053923234 0.0007430367 0.0016601563 0.00079823367 0.0010105299 0.0037661346 0.0015157949 0.0016516644 0.0008109715 0.00071756117 0.00082370924 0.0009341033 0.0004628057 0.0007090693 0.0006029212 0.010962975 0.0010487433 0.0010062839 0.00055621605 0.0011973506 0.00063264265 0.00068359374 0.0005901834 0.0014775816 0.0006581182 0.003736413 0.0005859375 0.0008873981 0.0006241508 0.0006623641 0.00077700405 0.011005435 0.0009723166 0.0015922214 0.0022673234 0.0033840013 0.0011931047 0.0015667459 0.0012907608 0.0022673234 0.0004288383 0.002564538 0.00084493886 0.002288553 0.0007387908 0.0012398098 0.0011379076 0.073140286 0.011897079 0.017607847 0.013977582 0.05444973 0.011659307 0.0060461955 0.013128397 0.045049254 0.0028659985 0.0033712636 0.0054517663 0.027904212 0.007213825 0.015429688 0.021242358 0.03512653 0.008873981 0.011294157 0.014563519 0.017263927 0.0089971125 0.012160326 0.010419497 0.016567595 0.0034986413 0.0039274795 0.004335088 0.010984205 0.0054772417 0.007651155 0.01146824 0.0118631115 0.004929518 0.0052734376 0.009022588 0.004623811 0.0040930705 0.0072817593 0.005528193 0.0041185464 0.0028702447 0.0030528193 0.0025857678 0.0030018683 0.0027725883 0.003014606 0.0042289402 750.0 13.918667 10439.0 0.04004215 0.0013411246 0.0015327139 0.0011495354 0.011974327 0.002969633 0.0021074815 0.006322445 0.0031612224 0.0022032761 0.0010537407 0.002011687 0.00086215156 0.0044065523 0.014656576 0.011112176 0.028259411 0.018200977 0.008046748 0.0071845963 0.004310758 0.004310758 0.00373599 0.0036401954 0.0058434717 0.0033528116 0.004789731 0.0030654278 0.002778044 0.0019158924 0.004693936 0.0016285084 0.0033528116 0.035348214 0.002011687 0.01494396 0.006514034 0.007950953 0.0048855254 0.004214963 0.014081809 0.0058434717 0.0013411246 0.0015327139 0.0066098287 0.00747198 0.0022990708 0.004214963 0.007088802 0.0018200977 0.006705623 0.009100488 0.010537407 0.006993007 0.008525721 0.010824792 0.0022032761 0.0009579462 0.0036401954 0.0013411246 0.00622665 0.0061308555 0.006705623 0.014752371 0.004693936 0.03649775 0.0058434717 0.031037455 0.02097902 0.052782834 0.011974327 0.00996264 0.009100488 0.040425327 0.0013411246 0.002778044 0.023565475 0.015327139 0.029217359 0.05105853 0.01762621 0.0022032761 0.04789731 0.0319954 0.06312865 0.016668264 0.008142542 0.0053644986 0.0064182393 0.0071845963 0.002011687 0.0005747677 0.0026822493 0.00086215156 0.0005747677 0.00124533 5.7737722 2.0 25.0 0.0 4.0 119552.0 131072.0 1.0 10.0 85.0 1.0 1.0 1.0 0.0 0.0 1524656900.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 50176.0 1024.0 4096.0 9.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 38400.0 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 -2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -51712.0 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 -5.4030457 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.039892 0.0 0.0 0.0 0.0 4.826328 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.083907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13.6664 0.0 4.211198 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 37876.0 0.0 0.0 0.0 0.0 3768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -50360.0 0.0 1392.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 404.0 92288.0 80.0 92692.0 1392.0 122880.0 3768.0 106496.0 18176.0 101376.0 1600.0 126976.0 84.0 87888.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 87984.0 0.0 0.0 704.0 57344.0 0.0 0.0 0.0 0.0


Input: 0.050257135 0.005983451 0.005410135 0.0050015403 0.0043833004 0.0039361995 0.004774781 0.0042870343 0.0041886293 0.0034420353 0.0046999077 0.0035062123 0.0038463513 0.00432768 0.0036923261 0.0043169837 0.004079528 0.0037244146 0.0032644784 0.0034206428 0.0031960227 0.0032131367 0.003745807 0.0036580984 0.0037030224 0.003305124 0.0035896427 0.0035532757 0.0032473644 0.00328801 0.003964009 0.0043148445 0.005025072 0.0039468957 0.0038292373 0.0060134004 0.0029414534 0.0031061748 0.0035725287 0.0034441745 0.003754364 0.0033885543 0.0034955163 0.0069653615 0.0036046174 0.003386415 0.0037950096 0.003636706 0.0038484905 0.0036516807 0.0032281112 0.003422782 0.003296567 0.0036153134 0.0035618325 0.0034805415 0.0033821366 0.0033029846 0.003332934 0.0036153134 0.0046442873 0.00351263 0.0039276425 0.004064554 0.003377858 0.003305124 0.0033821366 0.0033992503 0.0030248836 0.0033586049 0.003243086 0.0033650226 0.002768175 0.0034741238 0.0029457319 0.0029799596 0.0031489595 0.0034655668 0.0033842758 0.0036324274 0.0031746302 0.003332934 0.0030569723 0.0035190478 0.003397111 0.003673073 0.0031489595 0.0035639717 0.0031040355 0.003467706 0.0033928326 0.0030890608 0.0032452252 0.0033414909 0.0036174527 0.003925503 0.003422782 0.00469349 0.0035725287 0.004023908 0.0034612883 0.0053331223 0.0033265164 0.0039169462 0.003414225 0.004616477 0.0033393516 0.0037800348 0.0040816674 0.0038463513 0.0046378695 0.0050400468 0.003782174 0.003521187 0.0043597687 0.0043982747 0.0046977685 0.004111617 0.003690187 0.003790731 0.0047384137 0.0043041483 0.0031874657 0.0037286931 0.0037030224 0.0037008831 0.0037222754 0.0040902244 0.0045458823 0.0037586426 0.002984238 0.003377858 0.0034784023 0.0028558837 0.0032944276 0.0033928326 0.0030762253 0.003009909 0.0030976178 0.0037115794 0.0033757188 0.003422782 0.0033200986 0.0039554527 0.0030954785 0.0029371749 0.0028430484 0.0035169085 0.002992795 0.0031510987 0.0029778203 0.0032281112 0.0033265164 0.0030805038 0.0035276047 0.0034826808 0.0030270228 0.0034548705 0.003645263 0.0038206805 0.0033543264 0.003037719 0.0032580607 0.0034185036 0.0030612508 0.002759618 0.0032730354 0.0037693388 0.003369301 0.0031917442 0.0033906936 0.0032409467 0.003268757 0.0033543264 0.0032495037 0.0038099843 0.00328801 0.003234529 0.003009909 0.0033564656 0.003493377 0.0031404025 0.002967124 0.00365382 0.003360744 0.0031767695 0.0033821366 0.0034890985 0.003773617 0.0033928326 0.0033928326 0.0036431237 0.0046870722 0.0034570098 0.0033393516 0.0035618325 0.003161795 0.0033200986 0.00348482 0.0039533135 0.0031339847 0.0032409467 0.0032794531 0.0032644784 0.0032922884 0.0032922884 0.0033457694 0.0040453007 0.0032623392 0.0033222379 0.0030056306 0.0034719845 0.0033094024 0.0031190102 0.0035233262 0.0037607818 0.008503474 0.0033992503 0.0037693388 0.0036687944 0.003816402 0.0033949718 0.0037479463 0.0036174527 0.0047063255 0.0032708962 0.0035104908 0.0038912753 0.0033179594 0.0032003012 0.00348482 0.0039212247 0.0033222379 0.003116871 0.0033586049 0.003529744 0.0034078073 0.003557554 0.0034270606 0.0038912753 0.0042870343 0.0038827183 0.0037158579 0.0040624146 0.0034206428 0.0033265164 0.0032537822 0.004066693 0.0038035666 0.0039661485 0.0035254655 0.0038912753 0.0042421105 0.0038591868 0.004111617 0.026338307 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00048291552 0.0 5.151099e-05 1.717033e-05 0.0005236951 0.00046252576 0.00325807 0.0017975189 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01943252 0.0017749828 0.004546918 0.0008585165 0.00037989355 0.00041316106 0.0015152816 0.0017857143 0.00026506698 0.00022643372 0.0002307263 0.0001856542 0.00019423936 0.0018683465 0.00026184754 0.0056211366 0.016400885 0.0008660285 0.005379679 0.0010409512 0.00077481114 0.00068574003 0.0035864527 0.0019295157 0.0002822373 0.00024360405 0.00032408998 0.00024575036 0.00039384444 0.0037324005 0.00035091862 0.012114741 0.007879035 0.0008306147 0.0020958534 0.0004260388 0.00027579843 0.00023931147 0.00046789148 0.0002961882 0.00033052886 0.00023609203 0.00025433552 0.00018136161 0.00033482144 0.001444454 0.00023931147 0.004248583 0.0024778931 0.0003412603 0.0005194025 0.00023931147 0.00020389767 0.00019101992 0.00068574003 0.00034877233 0.0001244849 9.336367e-05 9.336367e-05 8.048592e-05 8.6924796e-05 0.00027794472 6.7608176e-05 0.0007619334 0.0025712568 0.00021784856 0.00048613496 0.00024575036 0.0002092634 0.00018458105 0.00045501374 0.0003058465 0.00018136161 0.00013521635 9.87294e-05 0.00011697287 0.00016204499 0.0002682864 0.00016633757 0.000788762 0.00072437327 8.048592e-05 0.00011911916 0.0001341432 0.00010946085 6.438874e-05 0.00031443167 0.00015882555 8.585165e-05 6.438874e-05 5.7949863e-05 4.8291553e-05 6.868132e-05 5.2584135e-05 4.399897e-05 7.082761e-05 0.0012072888 0.00024360405 0.00021570227 0.00024145776 0.0002092634 0.00019638565 0.00023501889 0.0002629207 0.00023394574 0.00015882555 0.00011482658 0.0001598987 0.00021355598 0.00012663119 0.00024575036 0.00033052886 0.06322974 0.0530531 0.050354138 0.054787304 0.049698446 0.05176103 0.053789277 0.05661487 0.05332031 0.051115 0.05179537 0.052897494 0.054583404 0.05312178 0.05572416 0.060088642 1947.0 9.214175 17940.0 0.039799333 0.0057971017 0.0075250836 0.0060758083 0.0034559644 0.0041248607 0.004960981 0.0044035674 0.004793757 0.0058528427 0.0044035674 0.007971015 0.007469342 0.010702341 0.016610926 0.00696767 0.009866221 0.008639911 0.0062430324 0.0076923077 0.0073578595 0.007859532 0.0058528427 0.00613155 0.0052954294 0.0068004457 0.0050167223 0.0067447047 0.009754738 0.0100334445 0.008528428 0.006187291 0.00451505 0.009531773 0.006521739 0.008807135 0.008305463 0.006521739 0.006354515 0.0050167223 0.0045707915 0.007636566 0.0053511704 0.0056856186 0.0067447047 0.0068004457 0.0057971017 0.0053511704 0.007748049 0.005406912 0.00819398 0.012987737 0.008751393 0.007302118 0.006354515 0.0064659975 0.0042363433 0.004960981 0.0060758083 0.0053511704 0.00574136 0.0053511704 0.00574136 0.012486065 0.0047380156 0.029654404 0.013210703 0.017279822 0.016610926 0.054738015 0.010312151 0.014771461 0.008751393 0.029877368 0.0047380156 0.007915273 0.022352286 0.01638796 0.029375697 0.032051284 0.013656633 0.0052954294 0.029765887 0.028428094 0.04347826 0.018729096 0.0076923077 0.009531773 0.008695652 0.012987737 0.0055183945 0.0064659975 0.005072464 0.0044035674 0.0055183945 0.0064102565 6.2033873 1.0 1.0 0.0 9.0 467456.0 491520.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541898000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 430592.0 512.0 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 -430592.0 0.0 35840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.902138 0.0 6.2177367 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 -430528.0 0.0 35752.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 438632.0 35752.0 442368.0 0.0 0.0 0.0 0.0 12.0 483328.0 28.0 438320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.16842052 0.011562943 0.007115607 0.006071898 0.007849333 0.0036053932 0.0028524362 0.004032069 0.013424475 0.0030251925 0.0025884123 0.002041133 0.006052015 0.0027158607 0.0018993424 0.0044072433 0.005096965 0.002209 0.0016734552 0.0016701957 0.003249124 0.002244855 0.0017011615 0.0019560587 0.003159812 0.002494211 0.0016548758 0.001521886 0.0024404284 0.0013794434 0.0012777454 0.0012604697 0.004652688 0.0012171176 0.00149255 0.001199842 0.0052146353 0.0027826815 0.0012392825 0.0011988641 0.0021473945 0.0011203089 0.001097492 0.0021232737 0.0019880023 0.0012255925 0.001418884 0.0012242886 0.0022852735 0.0012627514 0.0012712262 0.0025137684 0.0018315436 0.0012167917 0.0011646388 0.0011463853 0.0021848793 0.0015942481 0.0013722724 0.0023084164 0.0019319379 0.0013149042 0.0012255925 0.0014733186 0.003415035 0.003021933 0.0023540503 0.0018765255 0.0031441662 0.018599017 0.0019687708 0.0015642601 0.003459691 0.0016037008 0.0015430731 0.001192345 0.0025101828 0.020797586 0.0015329685 0.001404542 0.008576865 0.00665927 0.004841416 0.0021017606 0.0025140943 0.009577549 0.0027152088 0.001939109 0.0019619258 0.0015411173 0.0012343932 0.0016147833 0.0045535974 0.0063668876 0.0022565895 0.0016180428 0.0032220695 0.0027171646 0.0018168757 0.0031184156 0.0046631186 0.0036761255 0.002244855 0.0014218176 0.004586845 0.0021320744 0.0051595485 0.0014009565 0.0024101145 0.0015681717 0.0024026176 0.0020603642 0.0022256237 0.0010922767 0.002319173 0.0019485616 0.005940538 0.0036669988 0.0014772301 0.001330876 0.0020525414 0.001448546 0.0011887595 0.0011320432 0.0022207345 0.0030108504 0.0017370165 0.0014051939 0.0036849263 0.0046331305 0.0017093103 0.010777065 0.0023798007 0.008232005 0.001587077 0.0011897373 0.0030176954 0.014333565 0.0022073702 0.044747815 0.0017937328 0.01769547 0.0013699908 0.0011382364 0.0035128219 0.0014511537 0.0009814518 0.0016444452 0.0015864251 0.0032830231 0.0011434517 0.0010267596 0.0017399502 0.0014345299 0.0010587033 0.0010560956 0.0016858416 0.0010945584 0.0012112504 0.0010723934 0.0019847427 0.0017650487 0.0009899266 0.0010564215 0.0016887751 0.001213858 0.0010433834 0.0010417536 0.0019475837 0.0009931863 0.0010358864 0.0010551178 0.0017862358 0.0010006832 0.0010733713 0.001353041 0.0020600383 0.0010560956 0.0010528361 0.0010945584 0.0018429521 0.001097166 0.0014293146 0.0012324376 0.003350822 0.0015385097 0.0012079908 0.0010896691 0.0019322638 0.0015489402 0.0012480834 0.0013396769 0.0054874597 0.0064125215 0.0033482143 0.005172261 0.003913747 0.0011320432 0.00501841 0.0067443443 0.0030819087 0.0017285417 0.0012343932 0.0011502968 0.00893672 0.0011020553 0.0012180955 0.0012096206 0.002684243 0.0014231214 0.0016581353 0.0013540189 0.0024329314 0.001075327 0.0011079225 0.0010759789 0.0031135264 0.0020870927 0.0013380471 0.0014286627 0.0027924601 0.0013334837 0.0011258501 0.0012839385 0.00418429 0.0013791175 0.0014661476 0.0013207714 0.0033325683 0.0029391402 0.0011447555 0.001119657 0.022735393 0.003555196 0.0013960672 0.004601839 0.007493064 0.0013090371 0.0013869404 0.001485053 0.0061696847 0.0015342722 0.0014377894 0.0016483567 0.0034978278 0.0014312704 0.001747773 0.001959318 0.0045956457 0.0019355234 0.002005278 0.0021174066 0.012289172 0.0032393453 0.006223793 0.06353002 0.025972161 2.1520242e-05 1.1738314e-05 1.1738314e-05 7.8255425e-06 0.0 4.890964e-07 6.5212856e-07 6.8473496e-06 0.0 0.0 6.5212856e-07 7.499478e-06 8.1516066e-07 4.890964e-07 9.781928e-07 0.010167336 0.00016955342 8.21682e-05 8.21682e-05 6.309344e-05 0.0 0.0 0.0 8.053787e-05 0.0 0.0 0.0 3.961681e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011948625 3.8638616e-05 7.66251e-06 8.151607e-06 1.0434057e-05 6.6843177e-06 1.6303215e-05 7.988575e-06 7.173414e-06 4.890964e-06 3.9127713e-06 5.2170285e-06 3.749739e-06 6.6843177e-06 4.4018675e-06 8.803735e-06 0.0022294645 4.336655e-05 3.8475584e-05 1.7770502e-05 1.5651085e-05 3.6356167e-05 8.0700906e-05 5.347454e-05 4.4344742e-05 7.010382e-06 7.988575e-06 1.0434057e-05 1.7933535e-05 9.781928e-06 1.05970885e-05 4.7768415e-05 0.004883628 0.00010825334 9.9775665e-05 4.1410163e-05 4.9561768e-05 2.2498434e-05 4.874661e-05 5.9995826e-05 0.0001988992 2.4617853e-05 5.7061247e-06 2.135721e-05 6.2278275e-05 1.532502e-05 4.8909642e-05 0.0009868335 0.00760871 0.00029280572 0.00018504147 0.00015227201 0.00016319517 0.0001993883 0.00059425214 0.00013841428 0.00022009338 6.113705e-05 6.097402e-05 6.146311e-05 6.716924e-05 4.3040483e-05 5.1355124e-05 0.0007851628 0.023394948 0.00081092183 0.00086244 0.00036030103 0.00047605383 0.0014177274 0.00199372 0.00062261976 0.00037888667 0.0007142438 0.00031448898 0.00028889294 0.0002471567 0.00020493139 0.00023411415 0.0027369836 0.018889882 0.0008542884 0.0013414284 0.00066011713 0.0006712033 0.001678905 0.0028846906 0.0014429975 0.00057843805 0.00044833837 0.00026345992 0.00021846306 0.00026851392 0.00024568944 0.00028074134 0.0023279358 0.0034924743 0.00014069673 0.000649357 0.00021324604 0.00061854394 0.0005257786 0.002388747 0.0011521481 0.00014346828 0.000101079924 3.65192e-05 3.994287e-05 9.113496e-05 4.6627192e-05 6.977776e-05 0.00030715254 0.0026246544 0.00031579324 0.00023541841 0.00018650877 0.0005251265 0.00039633113 0.0007395138 0.00035182334 0.00050197594 7.2060204e-05 6.994079e-05 9.113496e-05 9.94496e-05 8.3472456e-05 0.00010678605 0.00027780677 0.006088435 0.0006839198 0.0011433443 0.0008753195 0.0018311769 0.0016958603 0.002166371 0.0011979601 0.0024339068 0.00042241625 0.00030323977 0.0004581203 0.00099417 0.00042942664 0.00072011293 0.004265736 0.030855626 0.0040133623 0.003180431 0.0023311966 0.012321154 0.009850564 0.005901763 0.0035697517 0.025191074 0.002744646 0.001795962 0.002271853 0.010187226 0.0027180717 0.010219996 0.028106088 0.08705248 0.012978336 0.0088402545 0.0069988067 0.037389465 0.027429504 0.0137416525 0.010807075 0.0702631 0.0069931005 0.005443643 0.007440787 0.028719742 0.009479014 0.033560004 0.057570886 0.01095951 0.002628241 0.0029303397 0.0018553057 0.004140201 0.0047021727 0.0019485601 0.0024441779 0.008543047 0.0016324408 0.0007638056 0.0010054192 0.0038381026 0.0017514542 0.003034028 0.0049183536 0.012048564 0.011896129 0.011740433 0.012311698 0.011725434 0.012128776 0.012104484 0.012350011 0.011945039 0.011764562 0.01196558 0.012210781 0.0122634405 0.012287732 0.012525433 0.013055776 7664.0 11.516832 88265.0 0.047753923 0.0030363111 0.0041579334 0.0030023225 0.008837025 0.013368833 0.0024924942 0.003274231 0.004871693 0.003466833 0.0027983913 0.0038293775 0.0044185123 0.005823373 0.010740384 0.0037840593 0.012439812 0.007137597 0.004837705 0.004860364 0.0052908855 0.003818048 0.004191922 0.004089956 0.0046224436 0.00447516 0.006673087 0.004894352 0.003648105 0.0045884554 0.003274231 0.010117261 0.021786666 0.01839914 0.006707075 0.02120886 0.01601994 0.008451821 0.0075001414 0.0072848806 0.007375517 0.011057611 0.004033309 0.0034215148 0.007579448 0.0081006065 0.0058573615 0.0071715857 0.013334844 0.005086954 0.009346853 0.015430805 0.011114258 0.005517476 0.014059933 0.009301535 0.00423724 0.00493967 0.0038973545 0.0048830225 0.00401065 0.0050076474 0.004214581 0.006106611 0.0036707642 0.03294624 0.0076474254 0.020449782 0.022772333 0.05466493 0.010434487 0.011986631 0.013708718 0.030918257 0.005086954 0.005744066 0.021752676 0.015260862 0.030578371 0.030442419 0.015181555 0.0028890274 0.036424402 0.021707358 0.044026513 0.014977625 0.008882343 0.008089277 0.006412508 0.009063615 0.0031382767 0.002990993 0.0030702997 0.0026737666 0.0025491419 0.0027983913 6.0778747 0.0 4.0 0.0 13.0 3067904.0 3133440.0 0.0 0.0 416.0 0.0 1.0 0.0 1.0 0.0 1141894500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 1945600.0 4096.0 4096.0 6.0 0.0 0.0 1.0 3.0 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 348160.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 -102400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1945600.0 0.0 659456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.8735423 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.135681 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.307871 0.0 7.730043 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 344934.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 0.0 -167356.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1941546.0 0.0 658448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 2.0 1.0 0.0 1.0 1.0 -1.0 1.0 1.0 1.0 1.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 -1.0 -1.0 0.0 2.0 -2.0 -2.0 -1.0 0.0 1.0 -1.0 0.0 1.0 1.0 -1.0 1.0 1.0 -2.0 0.0 0.0 -2.0 2.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 1.0 2.0 1.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 1.0 2.0 0.0 1.0 0.0 2.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 1.0 -1.0 1.0 -1.0 3.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 2.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 -2.0 0.0 2.0 0.0 2.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 -1.0 0.0 -3.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 3.0 0.0 1.0 1.0 1.0 1.0 -1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 2.0 -1.0 -1.0 0.0 0.0 -2.0 -2.0 -2.0 1.0 1.0 0.0 1.0 -1.0 0.0 1.0 -1.0 1.0 1.0 0.0 0.0 2.0 -1.0 -1.0 1.0 1.0 0.0 1.0 1.0 -1.0 2.0 0.0 0.0 -1.0 0.0 -1.0 2.0 -1.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 2.0 2.0 1.0 0.0 -1.0 -1.0 2.0 1.0 2.0 -1.0 1.0 -1.0 1.0 0.0 -1.0 2.0 0.0 1.0 0.0 -2.0 -1.0 -1.0 -1.0 1.0 3.0 -2.0 1.0 1.0 -1.0 0.0 1.0 2.0 0.0 -1.0 0.0 3.0 -1.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 -3.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -3.0 0.0 -1.0 -4.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 -2.0 0.0 -2.0 1.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 1.0 1.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 -1.0 1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 1.0 1.0 0.0 -1.0 2.0 1.0 0.0 1.0 -1.0 0.0 -1.0 1.0 2.0 2.0 0.0 0.0 2.0 2.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -2.0 -1.0 -1.0 0.0 1.0 -2.0 0.0 -1.0 0.0 1.0 -2.0 -2.0 -2.0 2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 3.0 2.0 -3.0 3.0 2.0 2.0 -2.0 1.0 1.0 1.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 -1.0 -2.0 -1.0 -2.0 -2.0 2.0 0.0 -3.0 0.0 1.0 -1.0 1.0 -2.0 -2.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 3.0 0.0 0.0 1.0 1.0 0.0 -3.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 -1.0 2.0 1.0 0.0 -1.0 -1.0 3.0 1.0 -3.0 -1.0 2.0 2.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 1.0 1.0 0.0 2.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 3.0 0.0 -2.0 2.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 2.0 0.0 0.0 -1.0 2.0 0.0 -1.0 1.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 3.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -2.0 -1.0 -1.0 0.0 -2.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 2.0 -1.0 1.0 -1.0 0.0 2.0 0.0 1.0 -2.0 1.0 -1.0 0.0 2.0 -1.0 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 -3.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 -2.0 0.0 -3.0 -1.0 -2.0 -1.0 1.0 0.0 2.0 -2.0 -1.0 0.0 1.0 0.0 0.0 -2.0 -1.0 -2.0 0.0 1.0 0.0 1.0 1.0 -1.0 -1.0 -2.0 2.0 -1.0 0.0 2.0 0.0 -1.0 4.0 -2.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 -2.0 0.0 1.0 -2.0 -1.0 -1.0 -3.0 -1.0 -3.0 1.0 2.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 3.0 0.0 1.0 0.0 0.0 -1.0 1.0 -1.0 -2.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 3.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 4.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 -2.0 -1.0 1.0 -1.0 2.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 -1.0 2.0 -3.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -3.0 -1.0 0.0 3.0 -2.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 -2.0 2.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 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 1.0 -1.0 0.0 -1.0 -1.0 0.0 -3.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 1.0 1.0 2.0 -1.0 1.0 -1.0 -1.0 -1.0 5.0 -1.0 0.0 0.0 0.0 3.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -2.0 1.0 0.0 2.0 -1.0 0.0 1.0 -2.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 1.0 2.0 -1.0 1.0 0.0 0.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 2.0 -1.0 3.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 3.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -1.0 2.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 2.0 0.0 1.0 0.0 1.0 -2.0 -1.0 1.0 2.0 -2.0 1.0 0.0 0.0 0.0 -1.0 -3.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 2.0 1.0 0.0 2.0 2.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -2.0 2.0 -2.0 1.0 2.0 0.0 -1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 0.0 2.0 1.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 1.0 2.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 1.0 -1.0 -1.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 400.0 2282080.0 658448.0 2473984.0 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 2111680.0 0.0 0.0 0.0 0.0 5608.0 1949696.0 0.0 0.0 0.0 0.0


Input: 0.14310299 0.007293201 0.0032191114 0.0033885383 0.00583111 0.0037258232 0.002019004 0.00188409 0.0075881295 0.0014134597 0.0016597563 0.0014401288 0.004428631 0.0013475715 0.0011248065 0.0034732518 0.0056554074 0.0015013107 0.0011828509 0.0009036102 0.0024268837 0.00199861 0.0007781088 0.0008314469 0.002255888 0.00074516464 0.0008204655 0.000682414 0.0015248422 0.00056946266 0.00058044406 0.00055691256 0.0038952501 0.00054279366 0.0005929942 0.0005255372 0.00398467 0.0014777792 0.00045023634 0.0005192621 0.0009271417 0.00063848845 0.00056946266 0.00080948416 0.0010165615 0.0027390684 0.0006792764 0.00043611744 0.006610787 0.0028049566 0.004229398 0.009958537 0.004301561 0.0018762462 0.0037948492 0.0015562176 0.004998094 0.0019813536 0.0006604512 0.0014040471 0.0017476073 0.0010024426 0.00047376784 0.0005161246 0.011895966 0.0043188175 0.005369892 0.009475357 0.003909369 0.035542 0.0032583305 0.0029320267 0.0037383735 0.0036771914 0.0009914612 0.001121669 0.0023249139 0.0042858734 0.0011310815 0.0015107233 0.008526253 0.0021554867 0.002045673 0.010033838 0.003120279 0.01444835 0.0026716115 0.0017789826 0.0019640971 0.0067221695 0.0027704437 0.0027437748 0.001634656 0.004889849 0.001863696 0.0038889751 0.0055079437 0.0047863103 0.0017178006 0.0035579652 0.009379663 0.0063597844 0.0036850353 0.0016534812 0.0074328217 0.0044302 0.0030716471 0.0014620915 0.0030434094 0.0017695699 0.0043768617 0.003862306 0.002869276 0.0015342549 0.0049400497 0.004092915 0.009252592 0.005126733 0.001843302 0.001154613 0.0025617976 0.0012565829 0.0004957306 0.00050828076 0.0015358236 0.0026684739 0.0010510744 0.00089106004 0.0043454864 0.0011703008 0.0011765758 0.008767842 0.0027798563 0.0027500498 0.0010432305 0.00058044406 0.0026496486 0.015944956 0.0021225428 0.048867114 0.0012487391 0.011633981 0.00096479215 0.000709083 0.002511597 0.00043925497 0.0007341833 0.00056632515 0.0011828509 0.00093655434 0.0016236746 0.0006133882 0.0012299139 0.0005882879 0.00054593117 0.00073261454 0.0009004727 0.0004565114 0.0004674928 0.0004376862 0.0008612535 0.0031798922 0.000486318 0.0028331946 0.0014369913 0.00071535807 0.00056632515 0.0004674928 0.0010322492 0.00048474924 0.00054593117 0.00050043693 0.0008455658 0.00042984236 0.00081575924 0.00040160454 0.0011608881 0.0007404584 0.0018134955 0.00052239967 0.0008894913 0.000729477 0.0007483022 0.0015483737 0.0029994838 0.0023202074 0.0053243977 0.00074987096 0.0010181302 0.00050828076 0.0008204655 0.0007577148 0.01196656 0.0012879584 0.002384527 0.009495751 0.004478832 0.0011342191 0.003153223 0.0034920769 0.0018699712 0.0018307519 0.0009961675 0.0013601216 0.0016691688 0.0010212677 0.0011122563 0.0010573495 0.0029210455 0.0012283451 0.0030465468 0.0012816832 0.0019217405 0.00085811596 0.0016095557 0.00090674777 0.0029885026 0.00070123916 0.0010087177 0.0017193694 0.0015373924 0.00077497127 0.00056632515 0.0008894913 0.0025759167 0.00075928355 0.0009130228 0.001168732 0.002527285 0.0027390684 0.0005820128 0.00077497127 0.026505899 0.0066939318 0.0011765758 0.006038187 0.0071473056 0.0011812821 0.00073261454 0.00075928355 0.007746575 0.0010965687 0.0018950714 0.0009632234 0.009836174 0.001066762 0.0021586244 0.0026857303 0.010854304 0.003565809 0.0034858019 0.004240379 0.015389611 0.0045839394 0.004849061 0.0737666 0.0 0.0 0.0 0.004817551 0.0 0.0 8.6491045e-06 4.717693e-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 0.002785798 0.0 0.0 0.00027126737 0.0001635467 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012242415 0.0 0.0 0.00023509839 0.00015096618 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0061455816 0.0 0.0 0.0031419836 0.0019845762 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020687084 0.0 0.0 0.0016354669 0.0011267425 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00069900486 4.717693e-06 2.2802184e-05 8.491848e-05 0.00018870772 9.592643e-05 7.862822e-06 9.435386e-06 1.9657055e-05 0.0 0.0 2.3588466e-06 1.0221669e-05 3.931411e-06 6.2902577e-06 0.00045447113 0.0077299406 0.0002610457 0.00027048108 0.0006982186 0.0024225356 0.0006188041 0.0031026695 0.0013500466 0.00024689263 0.00012737772 0.00011715605 9.5140145e-05 0.0008515436 0.00048199098 0.0005079383 0.0036625026 0.015772821 0.0007524721 0.0011511171 0.002621465 0.0047208383 0.0044479985 0.008119936 0.0037049619 0.00051344227 0.00028148902 0.0003664075 0.0004072942 0.0026025942 0.001379139 0.0013987961 0.011340548 0.018218946 0.0010300297 0.0011778508 0.0031042423 0.0061534448 0.002630114 0.005837359 0.0028392652 0.0023344718 0.00089400285 0.00107013 0.0015340366 0.0048356354 0.002972933 0.003198596 0.0114121 0.020458277 0.0015615565 0.0013390386 0.0022078804 0.010220096 0.004070583 0.00510533 0.0027629957 0.006146368 0.0015379679 0.0017777841 0.0025923725 0.004381951 0.0019814312 0.0043041087 0.010067557 0.079317 0.010746906 0.008145884 0.011136902 0.04761725 0.03413094 0.023454012 0.015088756 0.05636464 0.005782319 0.006658238 0.010187859 0.018225236 0.0075412327 0.031047925 0.06933751 0.050281174 0.008630234 0.0076072803 0.010269632 0.024256807 0.025294699 0.014749868 0.012273865 0.041212983 0.0053372835 0.0056054057 0.00784631 0.017405143 0.009579276 0.021868868 0.042129 0.0002964284 6.054373e-05 0.00010929323 6.60477e-05 0.0001147972 0.00012580515 5.5039753e-05 8.334591e-05 0.00017062324 3.6955265e-05 4.245924e-05 3.6955265e-05 0.00010693438 7.6269374e-05 9.27813e-05 0.00013602682 4307.0 16.480844 70983.0 0.00611414 0.00012679092 0.0004085485 7.0439404e-05 0.003409267 0.00054942735 7.0439404e-05 0.00015496668 0.00028175762 0.00039446066 0.000817097 0.0006057788 0.00033810912 0.017201303 0.0011833819 0.00045081216 0.034064494 0.016257415 0.033684123 0.011016723 0.029288704 0.013101729 0.030288942 0.0101432735 0.034106757 0.0130876405 0.00087344856 0.00032402124 0.00097206375 0.0006198667 8.452728e-05 9.8615164e-05 0.0014369638 0.008819013 0.007297522 0.014679572 0.0061704917 0.018046575 0.004226364 0.0024935547 0.0046208245 0.019863911 0.0024935547 0.004099573 0.0074947523 0.006240931 0.004479946 0.0087767495 0.013932914 0.0024231153 0.006226843 0.021568544 0.011861995 0.0066213035 0.0065508643 0.0034515306 0.003183861 0.0050011976 0.0014369638 0.0023245001 0.0011552061 0.002352676 0.0023104122 0.025273656 0.00023949397 0.030852458 0.011904259 0.028063057 0.026541566 0.05211107 0.010115098 0.010199625 0.015454405 0.03516335 0.0064240736 0.007269346 0.019469451 0.011608413 0.035712775 0.03117648 0.015595283 0.0029302791 0.036698926 0.028922418 0.037924573 0.010749052 0.01029824 0.0059450855 0.011960611 0.006931237 0.00088753644 0.00029584547 0.00053533947 0.00029584547 0.00028175762 0.00033810912 5.7399635 0.0 1.0 14.0 4.0 637443.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5535727 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0