Input: 0.048550725 0.004988852 0.004793757 0.0070234113 0.0062430324 0.004877369 0.004988852 0.005406912 0.0055462653 0.004180602 0.0041527315 0.0051560756 0.005574136 0.004069119 0.0042363433 0.005239688 0.005044593 0.004626533 0.0030100334 0.003567447 0.0045986623 0.0034280936 0.0035953177 0.004292085 0.0044871797 0.0040133777 0.0032608695 0.0049052397 0.004292085 0.003734671 0.0033444816 0.003483835 0.0044035674 0.0037068005 0.0033166108 0.0038740246 0.004264214 0.0033166108 0.0031772575 0.0030936454 0.0032887403 0.003483835 0.002787068 0.003483835 0.0043199556 0.0038461538 0.0039576367 0.004292085 0.0040133777 0.0028428093 0.0042363433 0.0040133777 0.004459309 0.004626533 0.0039576367 0.0040133777 0.0037068005 0.0039855074 0.0030936454 0.004793757 0.004180602 0.003929766 0.0029264214 0.0032887403 0.0055183945 0.0049331104 0.0035117057 0.0042363433 0.004264214 0.0037068005 0.0038740246 0.0038740246 0.003929766 0.003149387 0.0033166108 0.0036231885 0.0041248607 0.004710145 0.0032329988 0.003065775 0.0044871797 0.004264214 0.003651059 0.0039018951 0.003734671 0.0038740246 0.0042363433 0.004180602 0.0035395764 0.0052954294 0.003818283 0.0047658863 0.0034559644 0.0033166108 0.003149387 0.0033444816 0.0035117057 0.0039576367 0.003818283 0.0037625418 0.0051282053 0.004877369 0.004264214 0.0032887403 0.005072464 0.0039576367 0.0041248607 0.004682274 0.005044593 0.0049331104 0.0043199556 0.0043756966 0.0043199556 0.003567447 0.004180602 0.004431438 0.006716834 0.005769231 0.0047380156 0.0033723523 0.003483835 0.0032608695 0.0033444816 0.0034559644 0.0037904126 0.003483835 0.0032051282 0.003651059 0.0043756966 0.0036231885 0.0030936454 0.004654404 0.0037625418 0.004431438 0.0030100334 0.003149387 0.0039576367 0.0039576367 0.003734671 0.0058528427 0.002954292 0.0052675586 0.0030936454 0.003149387 0.00409699 0.002703456 0.0019788183 0.0028149388 0.0032608695 0.0024526198 0.0033444816 0.0033723523 0.0028985508 0.0022296545 0.0035395764 0.0030936454 0.0028985508 0.002787068 0.0025083611 0.002787068 0.0029821629 0.0039576367 0.0027591973 0.0033723523 0.002787068 0.0034280936 0.00287068 0.0025083611 0.0029821629 0.00287068 0.0026477147 0.0029821629 0.0030100334 0.0036789298 0.0026755852 0.0030379042 0.0041527315 0.0023690078 0.0025919732 0.002954292 0.0033444816 0.0036789298 0.0040133777 0.004292085 0.0033723523 0.0032608695 0.0030936454 0.0034280936 0.0030100334 0.0035117057 0.0033723523 0.0032329988 0.004069119 0.004292085 0.0032608695 0.0032608695 0.0028149388 0.0027313267 0.0033166108 0.003483835 0.003483835 0.0033444816 0.0026755852 0.0028149388 0.0032887403 0.0034002229 0.00287068 0.0028149388 0.00287068 0.002703456 0.002954292 0.0049052397 0.0033166108 0.0033166108 0.003065775 0.003065775 0.003734671 0.0034559644 0.003483835 0.0044871797 0.0032051282 0.0030379042 0.0037625418 0.0035953177 0.0042084726 0.00287068 0.002619844 0.0026755852 0.003818283 0.0023690078 0.0031215162 0.0025641026 0.0035395764 0.0030100334 0.003065775 0.004960981 0.0041527315 0.004069119 0.0034280936 0.003929766 0.0039018951 0.0031215162 0.003483835 0.0027313267 0.0029264214 0.0027313267 0.00409699 0.003818283 0.0035395764 0.0033723523 0.0031772575 0.0033723523 0.004431438 0.003734671 0.003651059 0.006187291 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01420324 0.0013068704 0.0007898667 0.00068933825 0.0010483685 0.0012637868 0.0011201747 0.0013068704 0.0013786765 0.00030158547 0.0004308364 0.0007898667 0.0009909237 0.0007611443 0.0010627297 0.0019674862 0.012968175 0.0011345359 0.00094784005 0.0008473116 0.0020536536 0.0010914522 0.002556296 0.0016946231 0.0011345359 0.00080422795 0.0004308364 0.0006318934 0.00083295035 0.0007324219 0.0007611443 0.0007898667 0.011819279 0.0008616728 0.0009334789 0.0010196462 0.0016659007 0.0013355928 0.0018095128 0.0017089844 0.0011201747 0.0010483685 0.0009622013 0.0009909237 0.0011345359 0.0009622013 0.0010627297 0.0009765625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.076976106 0.06093463 0.056769878 0.060546875 0.059240006 0.059958067 0.0646111 0.060762294 0.059096392 0.04486443 0.047047336 0.051772173 0.049100988 0.053222656 0.051815256 0.05504653 311.0 6.5369773 2033.0 0.012788982 0.0073782587 0.007870142 0.011805214 0.007870142 0.005902607 0.0049188393 0.0068863747 0.0044269552 0.0068863747 0.005410723 0.0068863747 0.012297098 0.010821446 0.017215937 0.015740285 0.011805214 0.008362027 0.012788982 0.011805214 0.013772749 0.0088539105 0.009837679 0.009837679 0.008362027 0.010329562 0.006394491 0.006394491 0.010821446 0.0073782587 0.005410723 0.0068863747 0.005902607 0.012788982 0.005902607 0.0147565175 0.009837679 0.009345794 0.009345794 0.010329562 0.009345794 0.0073782587 0.006394491 0.006394491 0.011805214 0.011805214 0.01131333 0.008362027 0.013280866 0.008362027 0.012788982 0.012788982 0.01131333 0.010821446 0.008362027 0.010821446 0.008362027 0.017707821 0.010329562 0.010329562 0.0068863747 0.003935071 0.005410723 0.010821446 0.005410723 0.017215937 0.009837679 0.014264634 0.016724054 0.025086079 0.009837679 0.0068863747 0.013772749 0.014264634 0.0068863747 0.013772749 0.018691588 0.012297098 0.015740285 0.015248401 0.017215937 0.0068863747 0.023118544 0.015740285 0.020659124 0.013772749 0.010329562 0.009345794 0.012297098 0.0088539105 0.007870142 0.006394491 0.0073782587 0.0044269552 0.005410723 0.0068863747 6.4763675 0.0 0.0 0.0 1.0 35880.0 241664.0 0.0 0.0 6.0 0.0 0.0 0.0 0.0 0.0 1081163900.0 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 20480.0 4096.0 4096.0 5.0 2.0 0.0 4.0 5.0 0.0 0.0 -16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -7.827221 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9889264 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.3101916 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 188416.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 384.0 212992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.20070338 0.019460378 0.0062910705 0.005146068 0.0043696305 0.0055740466 0.00431508 0.003161805 0.007697242 0.002326756 0.0028686982 0.0018642326 0.0021462592 0.0022401677 0.0012908039 0.009881104 0.005958505 0.0023116143 0.0012818793 0.0011610466 0.0016207623 0.0029634088 0.0009796472 0.0013686181 0.0032736128 0.0018573637 0.00083058677 0.00082396856 0.0010142424 0.0009751849 0.0007669115 0.0014126895 0.019073965 0.0015636551 0.0014478362 0.0015447029 0.0128165865 0.0011533253 0.0009163228 0.00085971697 0.004070908 0.0009397874 0.0008897998 0.0016495415 0.0014875956 0.0008783182 0.0018472859 0.0009715248 0.005736644 0.0009296595 0.0021611 0.0036432305 0.0020640828 0.0010176017 0.0009384838 0.00084602926 0.0028688987 0.0013325688 0.0009881204 0.0028049224 0.0010798731 0.0012840352 0.0006887964 0.0010350998 0.010419136 0.006566479 0.0019096076 0.0024276339 0.006682649 0.0044855997 0.001421965 0.0014918573 0.04964834 0.0056586294 0.0008541517 0.001397648 0.007873678 0.0037083598 0.0009489125 0.0013016838 0.0038294431 0.0008374557 0.0011707734 0.0015164751 0.002149518 0.0018025629 0.0012703475 0.001923596 0.0030947705 0.0010218634 0.00077523437 0.0016223667 0.0029506236 0.0014413182 0.0011496652 0.0020931128 0.002588627 0.0019649097 0.0009332695 0.0022240232 0.0019067497 0.002906853 0.0028837896 0.0010831321 0.001999505 0.001721239 0.00056300004 0.0007470568 0.0022608244 0.0011310139 0.0017209882 0.002300634 0.0035316735 0.0009845607 0.002990032 0.0020810796 0.007918952 0.0040820385 0.0009161223 0.0012410168 0.002258468 0.0010034126 0.00063855806 0.00088819535 0.0016089799 0.0013925841 0.0007767385 0.0009105068 0.002839167 0.0012848374 0.0013560836 0.008429057 0.0023262044 0.004389435 0.00065776095 0.00075598137 0.0019992543 0.012001593 0.0022037674 0.02604651 0.0009541269 0.011286072 0.00068413356 0.00070323615 0.003725106 0.0005388335 0.00057087175 0.0011098055 0.00072695146 0.0007183277 0.0005039876 0.0005975452 0.0013180288 0.00056370196 0.00045565452 0.00046558183 0.0014948156 0.00054795865 0.00045846225 0.0005623984 0.0020031652 0.00075598137 0.0007644547 0.0006950135 0.0008317901 0.00075001497 0.0007009298 0.0007908273 0.0014642815 0.00070428906 0.0013374824 0.00080010283 0.0020890015 0.00072589854 0.0007087012 0.00079849845 0.0017311663 0.00048047284 0.00065470254 0.00072349195 0.0008675886 0.00078220357 0.0018591186 0.0011209361 0.0020528017 0.0012075246 0.0015190823 0.00090083014 0.0008667363 0.0009422943 0.00059328345 0.00064181705 0.005990543 0.003135282 0.0015610479 0.0050946767 0.0031293659 0.0006171993 0.0015001302 0.003708711 0.0027624555 0.0017495168 0.0009434475 0.0018348016 0.15862116 0.00062166154 0.0011254987 0.0015199347 0.0026720567 0.0009499153 0.0013089037 0.0008770146 0.0007514188 0.0005468556 0.00084994006 0.0010631771 0.0025720815 0.0011481611 0.0008191553 0.0010143426 0.00060285977 0.00045059057 0.00052665 0.00071923016 0.0021580416 0.0007803986 0.00061544444 0.0007153194 0.0006725015 0.00048127506 0.00053136295 0.0006197062 0.009659344 0.0058805905 0.0009914296 0.0018051198 0.0034579204 0.00060977886 0.00055427605 0.0006128874 0.0024968744 0.0008322413 0.0017229938 0.001302486 0.00056736206 0.0004916536 0.0013819548 0.0010750097 0.0021447048 0.0011636538 0.0010408156 0.0007725269 0.000803061 0.00076856604 0.0017296621 0.02856274 0.039622784 4.0865602e-06 2.6073758e-06 3.0335814e-06 2.3817374e-06 8.273404e-07 4.2620564e-07 4.7634748e-07 1.4290425e-06 5.766312e-07 5.264893e-07 1.7549644e-07 0.06587357 2.0056737e-07 5.264893e-07 0.0003089239 0.0023697035 3.2266275e-05 0.00031000192 1.7048225e-05 1.7223723e-05 5.2648934e-06 4.061489e-06 2.7327303e-06 1.5318332e-05 1.9806027e-06 1.579468e-06 4.2620564e-07 0.00030185387 2.557234e-06 3.3093615e-06 0.00014942269 0.0007052951 1.1958829e-05 0.0003721778 9.451737e-06 1.6747375e-05 1.5594112e-05 7.9976235e-06 5.44039e-06 7.0198575e-06 4.111631e-06 2.532163e-06 3.0085105e-06 0.00043076856 1.9555318e-06 3.3093615e-06 9.7024466e-05 0.0012932082 1.6596949e-05 0.0010968779 2.7477729e-05 5.6259145e-05 0.00015817244 3.3620105e-05 2.2990034e-05 1.2936595e-05 1.1632907e-05 0.00013763935 7.596489e-06 0.00037135047 1.7775283e-05 2.4093155e-05 0.0002545952 0.0035027587 8.428843e-05 0.0022425186 0.00013909346 0.00015574056 0.00014217719 0.00012733521 6.9521666e-05 3.8057657e-05 5.8665955e-05 0.00010752918 2.477007e-05 0.0006092234 5.7663117e-05 8.887641e-05 0.0002535673 0.012091153 0.00024108197 0.0020016122 0.00032246218 0.00031255916 0.00027044 0.0002026984 0.0001796833 0.0001395949 0.00017604801 0.00013157219 0.00011399748 0.0006125829 0.00027796128 0.00041630265 0.0013026098 0.008486206 0.00029463347 0.0019436231 0.00052959815 0.00046872592 0.00031311074 0.0007191343 0.0003763145 0.00013024344 0.00017419276 0.00013137162 8.17312e-05 0.0007893078 0.00024353892 0.00035620763 0.0008790868 0.007816386 0.00028490595 0.0016145422 0.0007959516 0.0007053954 0.00041123832 0.001194153 0.00066295033 0.00016474102 0.00017369134 0.00012410106 0.00011698092 0.0012367485 0.00019643066 0.00022987527 0.00054835115 0.02270049 0.0010353037 0.003301414 0.0015580324 0.002397858 0.0009801978 0.0032666659 0.0023009588 0.00059801666 0.0004989113 0.00042472646 0.00048770462 0.0020863018 0.00055955787 0.0004527056 0.001508066 0.0432783 0.0025595403 0.006004686 0.0044277003 0.005625388 0.0026693512 0.006250356 0.0044338675 0.0012613682 0.001140401 0.0008253347 0.0015623696 0.0034175424 0.001429243 0.0011430334 0.0039283875 0.029243022 0.002312667 0.002877866 0.0026515508 0.004680415 0.0020897614 0.004237086 0.003743941 0.0022874707 0.0012724997 0.0007938958 0.0017550397 0.0063897003 0.0010085781 0.001358543 0.004616509 0.011306508 0.0020446589 0.0025869429 0.0017524072 0.0072322334 0.0018203745 0.0013124627 0.0017840468 0.0054421197 0.0010101325 0.0051797526 0.0012050589 0.017120505 0.0012945872 0.0018903223 0.0033559434 0.029314274 0.0056343134 0.007980576 0.005011727 0.025764082 0.005968985 0.0031911521 0.0052203173 0.019774012 0.002406733 0.002380183 0.0031816252 0.046623137 0.0035211858 0.0069154375 0.008566357 0.05373568 0.011111733 0.015215366 0.00915036 0.04501474 0.010550044 0.006088423 0.010497796 0.03662162 0.0053825513 0.0041637034 0.006153858 0.04042992 0.006134102 0.013384713 0.015901232 0.013292377 0.0026271066 0.00428798 0.0027463438 0.013978668 0.0029727845 0.0020008099 0.0036356344 0.0111538265 0.0017791077 0.0012489831 0.0019724045 0.0073711015 0.0018603876 0.0036207424 0.004934183 0.0005750517 0.00030310743 0.00027144287 0.00027455165 0.0003716764 0.00027971627 0.0002957867 0.00028475552 0.00027176877 0.00026509992 0.00026592726 0.00027550434 0.00026422244 0.00026560132 0.00025782935 0.00025306587 64515.0 16.81099 1084561.0 0.21932468 0.0018532844 0.0023769985 0.013446915 0.017395979 0.004459869 0.003541525 0.002125284 0.004809319 0.0028850383 0.0020930127 0.005094227 0.002102233 0.003591315 0.021232555 0.0017417185 0.01335379 0.006020869 0.007596622 0.009926597 0.008245733 0.0065381294 0.007081206 0.004923651 0.007460161 0.008237435 0.0065187667 0.013590752 0.0026093507 0.005960937 0.0020247824 0.004313266 0.018682214 0.03136292 0.006299323 0.009640767 0.012150538 0.009121663 0.005851215 0.0028675196 0.018034024 0.0049061324 0.0011728248 0.0015204309 0.0074675377 0.0037480602 0.0023733105 0.007070142 0.0045576044 0.0013775158 0.0028924146 0.0056492905 0.00712362 0.008071468 0.011446106 0.00937891 0.017604358 0.0035295386 0.0025982864 0.0049983356 0.005179054 0.0055497107 0.00712823 0.011913576 0.0021778396 0.022157352 0.005345942 0.02379027 0.010284346 0.031764925 0.007929476 0.006352801 0.006188679 0.016742257 0.0015683766 0.0030786651 0.017964872 0.008410776 0.016991207 0.027738413 0.01012299 0.0028038993 0.018042322 0.016702611 0.02904401 0.009262734 0.0037369959 0.006935525 0.008175658 0.003969348 0.0014448243 0.0013636854 0.0027697843 0.0008888389 0.00096536754 0.0015425596 5.5314913 96.0 30.0 0.0 25.0 19944936.0 20217856.0 1.0 2.0 1252.0 1.0 1.0 1.0 1.0 0.0 1530038300.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 2.0 5.0 2.0 12623360.0 1024.0 4096.0 9.0 0.0 0.0 1.0 2.0 0.0 0.0 -1024.0 0.0 0.0 -241152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5950976.0 0.0 -4608.0 0.0 0.0 658432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -394752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12623360.0 -61440.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.692042 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.924004 0.0 -6.118108 0.0 0.0 6.360302 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.301292 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.647082 -4.63462 3.7093427 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -786.0 0.0 0.0 -241004.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5950496.0 0.0 -4518.0 0.0 0.0 658224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -658600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12622863.0 -60965.0 2918.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 3.0 -2.0 0.0 -3.0 1.0 0.0 -1.0 2.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 -1.0 -2.0 1.0 0.0 1.0 -1.0 -1.0 1.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 -1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 1.0 1.0 0.0 0.0 2.0 1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 -1.0 1.0 1.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 1.0 1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 -2.0 -1.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 4.0 0.0 0.0 -1.0 -1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 1.0 -1.0 1.0 0.0 2.0 1.0 1.0 0.0 1.0 -1.0 -2.0 1.0 0.0 0.0 3.0 0.0 1.0 -2.0 0.0 1.0 1.0 -1.0 -2.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 3.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 1.0 -2.0 1.0 0.0 2.0 -1.0 1.0 -1.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 -1.0 3.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 1.0 -2.0 0.0 1.0 -3.0 1.0 1.0 0.0 -1.0 2.0 2.0 -2.0 0.0 -2.0 1.0 -1.0 -1.0 0.0 1.0 0.0 -2.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 2.0 -1.0 2.0 -1.0 2.0 2.0 0.0 2.0 0.0 2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -2.0 1.0 3.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 -1.0 1.0 -1.0 -2.0 0.0 2.0 1.0 -1.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 -1.0 -2.0 -2.0 -2.0 0.0 0.0 0.0 2.0 -2.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 -4.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 2.0 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 -1.0 1.0 -2.0 -1.0 -1.0 1.0 -1.0 1.0 -1.0 1.0 -2.0 2.0 1.0 1.0 0.0 1.0 1.0 -1.0 1.0 -3.0 -2.0 -1.0 0.0 2.0 1.0 1.0 -2.0 1.0 0.0 -2.0 0.0 1.0 0.0 -1.0 -2.0 0.0 0.0 1.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 -2.0 0.0 0.0 1.0 3.0 1.0 2.0 0.0 0.0 0.0 0.0 3.0 1.0 0.0 1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 -1.0 3.0 1.0 -1.0 -1.0 -2.0 0.0 -1.0 0.0 -1.0 -2.0 2.0 -1.0 2.0 -1.0 -1.0 2.0 -2.0 1.0 1.0 1.0 -2.0 2.0 0.0 1.0 0.0 0.0 1.0 0.0 2.0 0.0 1.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -3.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 -2.0 -1.0 0.0 1.0 -2.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 -1.0 2.0 -1.0 -2.0 1.0 1.0 0.0 1.0 -1.0 2.0 1.0 -2.0 0.0 0.0 3.0 -1.0 0.0 0.0 0.0 2.0 2.0 2.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 2.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 -1.0 -1.0 -1.0 -1.0 -1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 2.0 -1.0 -1.0 0.0 1.0 2.0 2.0 -1.0 0.0 0.0 -2.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 2.0 1.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 1.0 0.0 0.0 0.0 -2.0 1.0 0.0 1.0 -3.0 0.0 1.0 0.0 1.0 2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 1.0 0.0 0.0 1.0 1.0 -1.0 -1.0 -1.0 -1.0 -2.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 -2.0 0.0 -2.0 -1.0 0.0 2.0 2.0 0.0 -2.0 -1.0 1.0 1.0 4.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -1.0 -1.0 1.0 1.0 -2.0 0.0 -2.0 -2.0 0.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 3.0 0.0 1.0 0.0 -1.0 3.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 -2.0 0.0 3.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 2.0 -1.0 0.0 0.0 2.0 1.0 1.0 -1.0 -1.0 -1.0 2.0 1.0 0.0 -1.0 -1.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -2.0 2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 1.0 -1.0 1.0 0.0 -1.0 1.0 2.0 0.0 1.0 -2.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 -1.0 2.0 0.0 2.0 0.0 -2.0 1.0 0.0 0.0 -1.0 -2.0 -2.0 -1.0 -2.0 1.0 1.0 0.0 0.0 -4.0 3.0 -1.0 0.0 -2.0 -1.0 0.0 1.0 1.0 -1.0 0.0 -2.0 -2.0 0.0 2.0 1.0 -1.0 0.0 -2.0 1.0 2.0 -1.0 0.0 -1.0 -1.0 1.0 3.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -2.0 -1.0 0.0 1.0 -1.0 -1.0 -1.0 0.0 1.0 -4.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 432.0 18578032.0 460.0 19912400.0 2918.0 19972096.0 598116.0 19238912.0 5096.0 19939840.0 174304.0 19976192.0 56.0 12643344.0 0.0 0.0 0.0 0.0 40.0 16128768.0 112.0 15900608.0 0.0 0.0 14032.0 19898368.0 0.0 0.0 0.0 0.0


Input: 0.34617856 0.026534231 0.0074398643 0.0031095806 0.030761719 0.006013569 0.002030222 0.0053325454 0.015689248 0.0020687706 0.013440584 0.0043431334 0.0062063118 0.0062962584 0.002133018 0.0026469983 0.008146587 0.0028011925 0.0025313527 0.0014905428 0.006309108 0.00104081 0.0035079152 0.0007452714 0.005126953 0.0014519943 0.004188939 0.0007966694 0.006437603 0.00087376643 0.0023900082 0.0008095189 0.005602385 0.0014905428 0.0015162418 0.0101768095 0.006142064 0.004291735 0.00104081 0.0029553864 0.0072214226 0.00047543173 0.0025313527 0.0014905428 0.006013569 0.00066817435 0.0007324219 0.003572163 0.0058722245 0.0026341488 0.0036107113 0.0014391447 0.00182463 0.0053710938 0.0035464638 0.0013877467 0.0021715667 0.0014519943 0.0007709704 0.00017989309 0.003777755 0.0016061884 0.00068102387 0.00023129112 0.016228927 0.005126953 0.00047543173 0.00083521794 0.0046001235 0.002891139 0.000963713 0.00050113077 0.0050755553 0.00060392683 0.0008095189 0.0021073192 0.0061549135 0.0015547903 0.0024414062 0.00083521794 0.0031738281 0.00068102387 0.0025827507 0.0015804893 0.0053582443 0.00034693666 0.00050113077 0.00043688322 0.0032123767 0.002659848 0.0016704359 0.00033408718 0.0054353415 0.00044973273 0.001015111 0.00046258225 0.0033665707 0.00068102387 0.0023386101 0.004715769 0.0065789474 0.002814042 0.0013620477 0.00024414062 0.003019634 0.0031352795 0.0025313527 0.001978824 0.011860095 0.00050113077 0.002993935 0.0005653783 0.0071571753 0.00364926 0.0018631784 0.0012978002 0.006591797 0.0025313527 0.0036749588 0.00035978618 0.006540399 0.0013620477 0.0003726357 0.00029553866 0.0007581209 0.00023129112 0.00014134457 0.00034693666 0.0040218956 0.00030838815 0.00025699014 0.00030838815 0.0007324219 0.00028268914 0.00030838815 0.00029553866 0.00053967925 0.00032123766 0.00024414062 0.0005139803 0.0005268298 0.0001927426 0.0015804893 0.0006424753 0.00055252877 0.0002055921 0.00044973273 0.00042403373 0.00070672284 0.00012849507 0.00017989309 0.0001927426 0.00034693666 0.0003726357 0.0003854852 0.00017989309 0.0003726357 0.00023129112 0.0021458676 0.00023129112 0.0016575863 0.0006424753 0.00042403373 0.00065532484 0.0005782278 0.00010279605 0.0002055921 0.00026983963 0.00023129112 0.00029553866 0.00065532484 0.00071957236 0.00044973273 0.0003983347 0.00025699014 0.0002055921 0.00060392683 0.00029553866 0.0001927426 0.00024414062 0.0003854852 0.00025699014 0.00015419407 0.00050113077 0.0014262953 0.0003854852 0.00089946546 0.00026983963 0.00048828125 6.4247535e-05 0.00016704359 0.0003726357 0.0015290913 0.0019145765 0.00024414062 0.00087376643 0.0005653783 0.00030838815 0.0005268298 0.0011821546 0.00066817435 0.00028268914 0.00021844161 0.00026983963 0.00088661595 0.00016704359 0.00021844161 0.00035978618 0.0010536596 0.00012849507 0.00017989309 0.0003854852 0.00043688322 0.00015419407 0.00024414062 0.00011564556 0.00048828125 0.00016704359 0.00011564556 0.00023129112 0.0004111842 0.00021844161 0.00015419407 0.00017989309 0.0012721012 0.00021844161 0.0002055921 0.0002055921 0.0014776932 0.00016704359 0.00023129112 0.0006167763 0.0025185032 0.00024414062 0.00015419407 0.0019659745 0.0017989309 0.00012849507 0.00024414062 0.00032123766 0.0012078537 0.0001927426 0.0016061884 0.00024414062 0.009328742 0.017809415 0.00025699014 0.0018117804 0.00095086347 0.00017989309 0.0003726357 0.007401316 0.0033408718 0.005807977 0.014185855 0.087697886 0.026666667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024322916 0.00017578126 0.00017578126 3.2552085e-05 0.0001171875 0.0001171875 0.000234375 9.765625e-05 0.00022786458 0.0 2.6041667e-05 4.5572917e-05 5.859375e-05 3.2552085e-05 5.859375e-05 0.0009440104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.045885418 0.0028125 0.0018945313 0.0012630208 0.0064778645 0.0031770833 0.008098958 0.004609375 0.00070963544 0.0003125 0.00033854166 0.0005403646 0.0005273438 0.00029947917 0.0007486979 0.0023046874 0.03046875 0.0028385418 0.0031445313 0.0016276041 0.0036328125 0.0029492187 0.008385417 0.0044140625 0.00041015624 0.00013020834 7.8125e-05 0.00012369792 9.765625e-05 0.00014322916 0.0003515625 0.007871094 0.1512435 0.019869791 0.023958333 0.016770834 0.012278646 0.0059375 0.006764323 0.006516927 0.0013671875 0.0005273438 0.00091796875 0.00044921876 0.00095052086 0.00035807292 0.0032877603 0.06880208 0.11119141 0.01218099 0.013398438 0.0067057293 0.010501302 0.00734375 0.010644531 0.008658854 0.003268229 0.0020833334 0.0020572916 0.0010026041 0.0028515626 0.00057942705 0.0023697917 0.04516276 0.06828776 0.007884115 0.009433594 0.006152344 0.010032552 0.005638021 0.0072721355 0.0063671875 0.0027473958 0.0015625 0.0018164063 0.001529948 0.0029101563 0.0008789062 0.003170573 0.024316406 0.014388021 0.0011979167 0.0026302084 0.0025651043 0.004765625 0.0022591145 0.002122396 0.002578125 0.0005403646 0.00061197917 0.00079427083 0.0011132812 0.0010351562 0.00052083336 0.00029947917 0.002578125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007565104 0.0012825521 0.0010742188 0.0011588541 0.0023763021 0.0012434896 0.0013997395 0.001751302 0.0010742188 0.0011197916 0.0010221354 0.0010807292 0.0010677084 0.001061198 0.0008984375 0.0014908854 0.00095052086 0.00092447916 0.00081380206 0.0007421875 0.00078125 0.0007486979 0.000859375 0.00092447916 0.0007747396 0.0008528646 0.00078125 0.0008723958 0.0008203125 0.00083333335 0.00072916667 0.00092447916 133.0 29.834587 3968.0 0.002016129 0.00075604836 0.00025201612 0.0 0.00050403224 0.00025201612 0.00050403224 0.0 0.00025201612 0.0 0.00025201612 0.0 0.0 0.0 0.0035282257 0.0012600806 0.002268145 0.004032258 0.006048387 0.0050403224 0.0037802418 0.004032258 0.0050403224 0.002016129 0.0015120967 0.002268145 0.00025201612 0.00050403224 0.0 0.0 0.0 0.0010080645 0.00075604836 0.042842742 0.0010080645 0.0017641129 0.002016129 0.04359879 0.0025201612 0.0015120967 0.0012600806 0.0012600806 0.00050403224 0.019657258 0.0015120967 0.0032762096 0.0234375 0.0032762096 0.0047883065 0.0047883065 0.0012600806 0.02091734 0.060987905 0.0015120967 0.002268145 0.0035282257 0.0015120967 0.040574595 0.0010080645 0.00050403224 0.0010080645 0.00075604836 0.00075604836 0.0032762096 0.0010080645 0.0063004033 0.042590726 0.08543347 0.04511089 0.048387095 0.0025201612 0.0010080645 0.0015120967 0.043094758 0.04082661 0.019153226 0.0063004033 0.004032258 0.04561492 0.0047883065 0.060987905 0.040574595 0.023689516 0.011340726 0.0055443547 0.042590726 0.0015120967 0.002268145 0.04183468 0.021169355 0.0015120967 0.00075604836 0.00075604836 0.00025201612 0.00025201612 0.00025201612 5.070682 0.0 1.0 0.0 1.0 77824.0 90112.0 0.0 0.0 7.0 0.0 1.0 0.0 0.0 0.0 1260452400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 69632.0 4096.0 4096.0 3.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.36003 0.0 2.251889 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -68297.0 0.0 1532.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 71428.0 1532.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 216.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.6286773 0.0026950466 0.0018419792 0.0016757357 0.0025397274 0.0014277952 0.0013475233 0.0013370736 0.0030289588 0.0012368525 0.0011893543 0.0012211781 0.0022290894 0.0013394486 0.0012183283 0.002550652 0.0021193686 0.0012335277 0.0011394812 0.0010962579 0.0015246915 0.0013342238 0.0011252317 0.0010554094 0.0014040461 0.0011841295 0.0011128823 0.0011029077 0.001247302 0.0010601593 0.001095308 0.0012145283 0.0016510366 0.0010549345 0.0011409062 0.0010886582 0.0017678821 0.0010463848 0.0010492348 0.0010796336 0.001247302 0.001093883 0.0010463848 0.0013099997 0.0011941042 0.0015246915 0.0011257068 0.0010478097 0.0013636727 0.0010734588 0.001095308 0.001874753 0.0011565806 0.001091983 0.0011138322 0.0010539845 0.0011580056 0.0011651303 0.0010478097 0.0015460657 0.0012088285 0.0012620265 0.0010558844 0.0017332084 0.0021982156 0.0017655072 0.00143207 0.002164967 0.0021663918 0.003965148 0.0013679474 0.0011755798 0.0013261491 0.0011067075 0.0011836545 0.0010886582 0.0011831796 0.003099731 0.0011998039 0.0011005327 0.0023117363 0.0016458118 0.0012658264 0.001408321 0.0012824507 0.0024205071 0.0016833354 0.0014277952 0.0012321026 0.0015978386 0.0011423312 0.0012045538 0.0011090824 0.0016581613 0.001405471 0.0020162975 0.0011432811 0.0015422658 0.0012325777 0.0013080997 0.0017313085 0.0018073056 0.0016847603 0.0011632303 0.0017118342 0.0014876429 0.0018700032 0.0011290316 0.0013950214 0.0011907793 0.0015090171 0.0016367872 0.0013674725 0.0010748837 0.0015536654 0.0017412831 0.002893114 0.0026646478 0.0012520519 0.0011784297 0.0012549018 0.0012107285 0.001095783 0.0010758337 0.0011641803 0.0013166495 0.0011665552 0.0012539518 0.0014919178 0.0012990751 0.0010896082 0.0033106229 0.0013940715 0.0024152822 0.0010801086 0.0010497097 0.001353698 0.0035509637 0.0011760548 0.00806994 0.0011561057 0.0029225629 0.0010164609 0.0010587344 0.0012064537 0.0010202609 0.0009836872 0.0011100323 0.0011551556 0.0012292528 0.0010459098 0.0010017365 0.0010615842 0.0010568345 0.0009979367 0.0010131361 0.0010748837 0.0010468598 0.0010577844 0.0010473348 0.0012952753 0.0014216204 0.0010459098 0.0011556306 0.0010720339 0.00104211 0.0009917619 0.0010620592 0.0011067075 0.0010311854 0.0010036365 0.0010497097 0.001120482 0.0010487597 0.0010297605 0.0011010077 0.0014767183 0.0010905581 0.00104306 0.0010079113 0.0011304566 0.0010392601 0.0013498982 0.0011537307 0.0013071498 0.0010701339 0.0010805835 0.0010064864 0.00117273 0.0012169033 0.0011318815 0.001173205 0.0021815912 0.0016177879 0.0015123419 0.0018258299 0.0015816892 0.0012017039 0.0015313412 0.001928901 0.0015199416 0.0013703224 0.001146131 0.0011143072 0.0042639114 0.0011081324 0.0011257068 0.0011599055 0.0013679474 0.001173205 0.0011589555 0.0011656053 0.0012178533 0.0010368852 0.0010905581 0.0010824834 0.0013636727 0.0011817546 0.0010307104 0.00116988 0.0012625015 0.0011893543 0.0010620592 0.0011038576 0.0014895428 0.0011418562 0.0010772586 0.0010772586 0.0014149706 0.0013384986 0.0011423312 0.0010297605 0.003907675 0.0014714935 0.001091983 0.001822505 0.0022827624 0.0010606343 0.0010995828 0.0010991078 0.0019350757 0.0011361564 0.001120957 0.0011337815 0.0016429619 0.0010867582 0.0013446733 0.0013223492 0.0018400793 0.0012401774 0.0011584805 0.001094833 0.0022172148 0.0011907793 0.0020642707 0.009287793 0.5965937 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004305429 3.088884e-06 3.3264903e-06 4.0393097e-06 3.801703e-06 4.5145225e-06 3.3264903e-06 3.801703e-06 4.9897353e-06 4.0393097e-06 3.088884e-06 3.3264903e-06 4.0393097e-06 3.801703e-06 4.0393097e-06 2.8512773e-06 0.0008059611 2.138458e-05 4.276916e-06 3.5640967e-06 1.9008516e-05 7.3658e-06 2.2572613e-05 9.266651e-06 2.6136709e-06 2.3760645e-06 2.0196549e-05 2.138458e-06 8.553832e-06 5.7025545e-06 1.4256386e-06 3.6829e-05 0.0007674688 1.9246123e-05 2.6611922e-05 2.3760645e-06 2.732474e-05 2.5899102e-05 3.801703e-05 2.3760645e-05 2.6136709e-06 7.128193e-07 5.9401614e-06 8.078619e-06 9.504258e-07 4.5145225e-06 7.841013e-06 1.1880323e-05 0.0009855916 1.5206812e-05 5.3461452e-05 3.088884e-06 7.318279e-05 8.553832e-06 9.8844284e-05 5.203581e-05 9.741864e-06 1.4256387e-05 3.1364052e-05 6.6529806e-06 3.088884e-06 4.752129e-06 9.029045e-06 9.100327e-05 0.0055958694 9.480497e-05 0.00025637736 3.5403362e-05 0.000566929 0.000118565615 0.00054388115 0.00033502508 0.00012117929 0.00010953657 5.631273e-05 8.031098e-05 6.4391344e-05 5.678794e-05 4.205634e-05 0.0006816929 0.00202013 4.9659746e-05 0.00014185105 2.3760645e-05 0.00031506614 0.000107873326 0.00055481103 0.00030841317 8.7914384e-05 3.8967457e-05 1.2117929e-05 2.4948677e-05 3.1601656e-05 2.5661497e-05 1.805809e-05 0.00013210918 0.0035564932 0.00017131426 0.00038207116 0.00020576718 0.0007508364 0.00021337059 0.0012191586 0.00071733387 8.0786194e-05 4.9659746e-05 3.8492246e-05 3.8492246e-05 0.00011215024 8.86272e-05 7.056911e-05 9.0765665e-05 0.0029323013 0.00013995019 0.00032599605 0.00025970384 0.0010454684 0.00036710195 0.0015325616 0.0008805695 9.0528054e-05 6.225289e-05 9.385455e-05 7.413321e-05 0.00016371084 0.0001252186 7.8172525e-05 0.00010098274 0.00090860703 0.00013424765 8.1736616e-05 8.7914384e-05 8.8151995e-05 2.6374315e-05 9.2666516e-05 7.4608426e-05 8.2687046e-05 3.872985e-05 7.199476e-05 4.158113e-05 4.609565e-05 3.4928147e-05 3.4928147e-05 0.00010122035 0.0023114355 0.00021764751 0.00016299803 0.0003545088 0.0008351867 0.0005384162 0.00035712248 0.00032979774 0.0017281116 0.00017772963 0.00012735705 0.00018604584 0.00072921417 0.0001736903 0.00047830178 0.0015114147 0.016196443 0.0022068887 0.0015496693 0.0019353045 0.0062604547 0.005199067 0.0021726734 0.0028396347 0.011271575 0.00081475254 0.0010300239 0.0014848027 0.007027448 0.0014294403 0.005036544 0.008484451 0.0063676154 0.0013339226 0.0009169233 0.0013044594 0.0019521746 0.0026773494 0.0010647145 0.0018944362 0.004229632 0.00031815504 0.00055766234 0.000720898 0.0023544424 0.0009480497 0.002132518 0.0038304536 0.016100688 0.015646147 0.015526868 0.015777782 0.01558627 0.015525918 0.01580273 0.015777068 0.015736675 0.01548505 0.015536373 0.015780395 0.015655177 0.015759248 0.015644483 0.01575402 3125.0 9.43232 29476.0 0.02154295 0.0048514046 0.0051567378 0.004817479 0.017200435 0.0044442937 0.0047835526 0.00729407 0.0051906635 0.0051567378 0.0052585155 0.005767404 0.005462071 0.006174515 0.010075994 0.0054281447 0.005360293 0.005869182 0.008142217 0.0062423665 0.0060727373 0.0058352556 0.0073279957 0.0052585155 0.004987108 0.0060727373 0.0051906635 0.005360293 0.0060048853 0.0059709596 0.006479848 0.015436287 0.045630343 0.014452436 0.0056317 0.008142217 0.0060048853 0.006988737 0.007463699 0.0060048853 0.00861718 0.0071244403 0.004987108 0.004817479 0.006106663 0.009601031 0.006038811 0.005088886 0.011399104 0.005767404 0.0066155517 0.009702809 0.007531551 0.0074297735 0.014689918 0.009159994 0.008311847 0.0050210343 0.007633329 0.0056656264 0.005088886 0.0060048853 0.0062423665 0.01441851 0.006174515 0.028395982 0.01458814 0.020491248 0.01947347 0.03721672 0.009838513 0.011161623 0.0072601438 0.027988872 0.006988737 0.0059709596 0.024935542 0.011399104 0.027785316 0.038641606 0.013468585 0.005360293 0.024053467 0.033213463 0.039761163 0.015538065 0.0077690324 0.0063780705 0.0083457725 0.008481476 0.005462071 0.005088886 0.005462071 0.0051906635 0.00505496 0.005462071 6.2176824 0.0 0.0 0.0 13.0 2105344.0 2117632.0 1.0 0.0 73.0 0.0 1.0 0.0 0.0 0.0 1543321100.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 230912.0 1024.0 4096.0 4.0 0.0 0.0 2.0 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 1839104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -230912.0 0.0 23040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.2387674 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.6871243 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.47868 0.0 7.9531026 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1838756.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -15168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -230585.0 0.0 22552.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 2074632.0 22552.0 2093056.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 293008.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 293040.0 0.0 0.0 296.0 237568.0 0.0 0.0 0.0 0.0


Input: 0.023259921 0.0045334566 0.004417442 0.0042681736 0.0036053357 0.003956337 0.0049960394 0.0028050533 0.003470847 0.003368872 0.004424092 0.0034449836 0.003104328 0.004132207 0.0046871584 0.0038018965 0.006074167 0.0055221715 0.0039053494 0.004075308 0.0037730774 0.0039378633 0.0034087752 0.0040169307 0.00443961 0.0039341683 0.0039474694 0.0035092724 0.0035336576 0.0033762613 0.004340591 0.003339314 0.0043738433 0.005395811 0.004714499 0.0049347063 0.0040812194 0.0045548864 0.004041316 0.0033563098 0.004714499 0.0045955284 0.0049901274 0.0042829528 0.004365715 0.003952642 0.0044484776 0.0040368824 0.0041580703 0.005736467 0.0042157085 0.0054881796 0.0045245895 0.00436202 0.0049494854 0.004033927 0.005704692 0.0056514875 0.0049021924 0.003647456 0.004133685 0.0037738164 0.0044359155 0.0038587956 0.0028929883 0.00416546 0.003470847 0.0040620067 0.004231965 0.004072352 0.0038454945 0.0037849005 0.0028715588 0.003660757 0.0033045833 0.0029824013 0.0033991688 0.0034782365 0.004408574 0.0039060884 0.003059991 0.0039511644 0.0038255427 0.0037775112 0.0032366 0.004319161 0.003071814 0.0032388167 0.0034242931 0.004485425 0.00360238 0.0038174144 0.0029240241 0.003587601 0.00327872 0.004011758 0.0032580295 0.0038935263 0.003824804 0.0036703635 0.0048866747 0.0039725937 0.0048149964 0.003660018 0.0033991688 0.0051142713 0.004628781 0.0033304465 0.0038913093 0.0045637535 0.0045364127 0.005086191 0.0042430493 0.0039637266 0.0051238774 0.004163243 0.004588139 0.003895743 0.004590356 0.004562276 0.004274085 0.004098215 0.004143291 0.0033991688 0.00326468 0.0041950177 0.0045940503 0.0039496864 0.0029328915 0.0037501699 0.0031856124 0.0033747836 0.0030629467 0.003382912 0.0030518624 0.003159749 0.0035513926 0.0035210955 0.0035757779 0.0039955014 0.0039615096 0.0037745554 0.0039289957 0.00333488 0.0032765032 0.004011019 0.0038595346 0.0033053223 0.0031109785 0.0035558261 0.004117428 0.0030984164 0.0033045833 0.0032661578 0.0037376077 0.0033201012 0.0028161374 0.0030245213 0.003909044 0.0030577742 0.0031715722 0.0049339673 0.003958554 0.0029136788 0.0033644382 0.0038329323 0.0033134506 0.0032292104 0.0032329052 0.0043583256 0.0042253146 0.0031789618 0.0031649217 0.0039829393 0.003896482 0.0030030918 0.0036954877 0.0038647072 0.004317683 0.004922144 0.0033725665 0.0036223317 0.003251379 0.0033215792 0.0032292104 0.0039083054 0.0040642237 0.0037775112 0.0028589966 0.003410992 0.0034486784 0.0035048386 0.0030341276 0.004189106 0.0041979733 0.0047388845 0.002956538 0.00341247 0.0033023665 0.004602179 0.0032388167 0.004500943 0.003987373 0.0028582576 0.0027400258 0.0033903015 0.0042423103 0.0028597356 0.0032173872 0.0044203973 0.0032728084 0.00338439 0.0033201012 0.004177283 0.0031228017 0.0031575323 0.003660757 0.0044780355 0.0037708606 0.0028915103 0.0031198459 0.0031841344 0.0034191206 0.0038477113 0.0026853434 0.0032107367 0.0045763156 0.004164721 0.003778989 0.00453789 0.0033178844 0.0029314137 0.0033201012 0.0035055776 0.0029897906 0.0044447826 0.0033880845 0.0036060747 0.0042681736 0.0030858542 0.002895205 0.003941558 0.0038617514 0.0048002177 0.005540645 0.00439749 0.0035846452 0.0033629602 0.0033459645 0.0044041406 0.003277981 0.0032218208 0.0035366134 0.002646918 0.0031819176 0.0032898043 0.0045454544 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00073168206 1.8495502e-06 1.4796401e-06 3.6991003e-07 7.3982005e-07 2.5893703e-06 2.5893703e-06 2.2194602e-06 2.2194602e-06 1.4796401e-06 2.2194602e-06 1.8495502e-06 2.5893703e-06 7.3982005e-07 1.8495502e-06 1.1097301e-06 0.0014082475 9.247751e-06 9.987571e-06 3.3291903e-06 1.0357481e-05 5.9185604e-06 1.7385772e-05 7.768111e-06 2.5893703e-06 2.5893703e-06 7.398201e-06 5.9185604e-06 5.9185604e-06 4.8088305e-06 6.6583807e-06 7.028291e-06 0.0013579398 7.768111e-06 6.6583807e-06 3.3291903e-06 2.2194603e-05 5.5486507e-06 4.0690106e-06 7.768111e-06 1.3686671e-05 1.7015862e-05 9.617661e-06 9.987571e-06 1.10973015e-05 1.10973015e-05 1.3316761e-05 1.4056582e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000526382 1.4796401e-06 2.5893703e-06 1.8495502e-06 2.2564513e-05 1.4796401e-06 7.3982005e-07 1.4796401e-06 7.028291e-06 1.6276043e-05 2.9592802e-06 7.398201e-06 9.654652e-05 3.3291904e-05 1.6276043e-05 1.9235322e-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 0.00050751655 1.3686671e-05 1.9235322e-05 1.7755681e-05 1.4056582e-05 1.5906131e-05 1.6276043e-05 1.4426491e-05 1.7385772e-05 1.7755681e-05 2.1454782e-05 1.4796402e-05 1.5906131e-05 2.1824691e-05 1.5536221e-05 1.4056582e-05 0.00047015565 8.507931e-06 2.5153882e-05 1.5536221e-05 2.8852983e-05 1.8125593e-05 6.436434e-05 2.6263613e-05 1.2207031e-05 1.1837121e-05 1.2946852e-05 1.5536221e-05 1.3316761e-05 9.987571e-06 1.4056582e-05 1.0727391e-05 0.00038211708 5.1787406e-06 2.9592802e-06 6.2884706e-06 7.768111e-06 2.5523792e-05 4.2169744e-05 3.3661814e-05 2.8852983e-05 2.5893703e-05 1.5166312e-05 1.9975141e-05 9.802616e-05 3.5881272e-05 1.2946852e-05 1.5166312e-05 0.0026696408 0.00022231594 0.0001217004 0.00013982599 0.00011319247 0.0001694188 0.00024118135 0.00019050366 0.0001657197 0.00016128078 0.00014574456 0.00015203303 0.00021491773 0.00017126834 0.00015832149 0.00026596533 0.0033195727 0.00091256807 0.000106904 0.00012318004 0.0001106031 0.0002685547 0.0002874201 0.00022601504 0.00029592804 0.0002323035 0.00035770301 0.00025708746 0.00041023022 0.00026337596 0.00045166016 0.0007102273 0.003692442 0.0015173709 0.00033994732 0.000250799 0.00016128078 0.0002766927 0.000456469 0.00029555813 0.00037841796 0.00039136483 0.0005855676 0.00055856415 0.00065806997 0.0006077622 0.0007098574 0.0012410482 0.0013216885 0.0013472124 0.00027743253 0.0001764471 6.473425e-05 0.00010875355 0.00027484316 0.0001882842 0.00039543383 0.00032330138 0.00047126538 0.0005126953 0.000526382 0.00059444545 0.0006162701 0.0011341441 0.06105883 0.061112836 0.069956645 0.07286303 0.058005963 0.056720156 0.06514486 0.06607592 0.05423732 0.05358739 0.056151975 0.05703495 0.056213748 0.054714132 0.05580426 0.055863444 8343.0 5.900875 49231.0 0.010968698 0.012918689 0.011374947 0.012187443 0.00954683 0.011395259 0.010481201 0.009262457 0.010846824 0.012857752 0.011435884 0.011131198 0.0089374585 0.011618695 0.01174057 0.010765575 0.012085881 0.013771811 0.012146818 0.011435884 0.01072495 0.012004632 0.012349942 0.009973391 0.011801507 0.012796815 0.011639008 0.0105421385 0.009059332 0.010785887 0.010968698 0.009831204 0.0076577766 0.009221831 0.010745262 0.0084499605 0.011903069 0.010278077 0.009160895 0.009364018 0.008348398 0.010460888 0.008084337 0.007210904 0.009303082 0.009851516 0.010481201 0.009567142 0.007231216 0.007901525 0.0100546405 0.008714022 0.009851516 0.012268692 0.008226524 0.008470273 0.0080234 0.009953078 0.0097296415 0.007901525 0.008734334 0.00853121 0.008510898 0.009851516 0.009242144 0.010460888 0.011557759 0.011131198 0.011192135 0.01174057 0.012431191 0.011842132 0.010074953 0.011496821 0.010298389 0.009648392 0.010806199 0.010887449 0.013162439 0.010278077 0.00903902 0.010968698 0.012126505 0.0108671365 0.009749955 0.011415572 0.011923382 0.011537446 0.009892141 0.011842132 0.010115578 0.009485893 0.010257765 0.009160895 0.01232963 0.009607768 6.570972 0.0 0.0 0.0 14.0 1353272.0 3784704.0 0.0 0.0 8.0 0.0 1.0 0.0 0.0 0.0 1308078100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 176128.0 4096.0 4096.0 6.0 1.0 4.0 6.0 6.0 282624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -876544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 23.560469 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9740806 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.024726 0.0 0.0 0.0 0.0 0.0 0.0 2863104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -876544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 544.0 2908160.0 40796.0 253952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.29232463 0.0109499665 0.0048412564 0.004446476 0.006669714 0.0018907912 0.0016414562 0.0012466755 0.006378823 0.0012258976 0.0019115692 0.0009557846 0.004093251 0.0019115692 0.0008934508 0.004197141 0.0056308177 0.0006441157 0.00074800535 0.0004778923 0.0015167886 0.0029504655 0.0003947806 0.0006856715 0.001392121 0.0004778923 0.00037400267 0.00035322472 0.001122008 0.00051944813 0.00029089095 0.00031166887 0.0072099403 0.00072722737 0.00027011303 0.00083111704 0.0035530252 0.0016622341 0.00022855718 0.00018700134 0.0006648936 0.00070644944 0.0001662234 0.00074800535 0.00037400267 0.0006856715 0.0009557846 8.31117e-05 0.001683012 0.0006441157 0.0007895612 0.003636137 0.0008103391 0.0021816823 0.0009973404 0.00043633644 0.0010804521 0.0017453458 0.00027011303 0.0034283577 0.0005817819 0.0010804521 0.0002493351 0.0011635638 0.018970245 0.0018076795 0.00062333775 0.0012882313 0.0032829123 0.004467254 0.001683012 0.0017661237 0.0014128989 0.0010388963 0.0004986702 0.00045711437 0.0014544547 0.0029089095 0.0011843417 0.0008934508 0.0030335772 0.0014128989 0.0010804521 0.0029712433 0.00070644944 0.0015375665 0.0028881317 0.0022855718 0.0006856715 0.0028257978 0.0004986702 0.00076878327 0.0008934508 0.0017453458 0.001683012 0.002015459 0.0009557846 0.0035738032 0.0005817819 0.0015791224 0.001973903 0.006669714 0.0011635638 0.00110123 0.0029920214 0.003636137 0.0033868018 0.00031166887 0.002223238 0.001371343 0.00390625 0.0035530252 0.0018284575 0.00029089095 0.005360705 0.0028673536 0.010783743 0.009620179 0.0010804521 0.0008726729 0.0008726729 0.0010388963 0.00037400267 0.00022855718 0.0009557846 0.0017661237 0.0004778923 0.00020777926 0.0024517952 0.0015583445 0.00051944813 0.009537068 0.0026387966 0.0047581447 0.00010388963 4.155585e-05 0.002493351 0.005984043 0.0018907912 0.014336769 0.00083111704 0.006171044 0.00070644944 0.0008726729 0.0017037899 0.00035322472 0.00018700134 0.0003324468 0.000561004 0.00076878327 0.0002493351 0.00029089095 0.0003324468 8.31117e-05 4.155585e-05 2.0777925e-05 0.00027011303 0.00020777926 0.00010388963 0.00012466755 0.0003324468 0.0017453458 0.00020777926 0.0008934508 0.00076878327 0.00070644944 0.0001662234 2.0777925e-05 0.0006648936 0.0002493351 0.00010388963 0.00031166887 0.00083111704 0.0 2.0777925e-05 0.00012466755 0.0003947806 0.00012466755 0.0001662234 0.00012466755 0.00041555852 0.0002493351 0.0006441157 0.00020777926 0.00085189496 0.00014544548 0.00045711437 0.0008934508 0.0012051197 0.0002493351 0.00027011303 0.0013297872 0.005900931 0.0054230387 0.0009557846 0.0045503657 0.0025972407 0.0008726729 0.0015583445 0.0020777925 0.0012674534 0.0014544547 0.0003947806 0.00027011303 0.26865858 0.00010388963 0.0003947806 0.00031166887 0.0014544547 0.00091422873 0.0035738032 0.0021609042 0.0008726729 0.00054022606 0.00091422873 0.0009557846 0.001683012 0.00027011303 0.00035322472 0.00054022606 0.00076878327 6.233378e-05 0.00027011303 0.00018700134 0.0015583445 0.00035322472 0.00027011303 0.00012466755 0.0010181183 0.00022855718 0.0003947806 0.00020777926 0.0059424867 0.0013090093 0.00041555852 0.0036984708 0.0014752328 0.00018700134 0.0004986702 0.0004986702 0.0017037899 0.00037400267 0.0001662234 0.00083111704 0.0010181183 0.00029089095 0.0014128989 0.001392121 0.0031582448 0.0014128989 0.00041555852 0.00045711437 0.00390625 0.0004778923 0.0032829123 0.02212849 0.043308426 4.245924e-05 1.061481e-05 3.184443e-05 9.553329e-05 4.245924e-05 0.0 2.122962e-05 4.245924e-05 2.122962e-05 2.122962e-05 2.122962e-05 0.21711531 0.0 4.245924e-05 5.3074047e-05 0.041365914 0.00013799252 0.00013799252 0.00013799252 0.00042459238 0.00019106657 0.00041397757 0.00018045177 3.184443e-05 0.00035028873 0.0 2.122962e-05 2.122962e-05 0.0 5.3074047e-05 1.061481e-05 0.00038213315 4.245924e-05 0.00037151834 0.0 0.00033967392 0.0 0.0 3.184443e-05 4.245924e-05 4.245924e-05 4.245924e-05 2.122962e-05 0.019743547 0.0003290591 0.0 0.00035028873 0.04341457 0.0005944293 0.0005413553 0.00016983696 0.0007642663 0.00026537024 0.0004352072 0.00027598505 0.00019106657 0.00049889606 0.00020168138 5.3074047e-05 0.017164147 0.00011676291 0.00013799252 0.00039274796 0.036355723 0.0011039402 0.0012631624 0.00040336276 0.0007642663 0.0003078295 0.0016240659 0.0007854959 0.0005201257 0.0 6.368886e-05 3.184443e-05 0.0 0.0 3.184443e-05 0.00022291101 0.01672894 7.4303665e-05 0.00016983696 0.00026537024 0.0007536515 0.00045643683 0.0020911174 0.0010720958 4.245924e-05 0.0 1.061481e-05 4.245924e-05 0.0 0.0 2.122962e-05 1.061481e-05 0.016622793 6.368886e-05 0.00015922215 0.00028659985 0.00050951086 0.00037151834 0.00025475543 0.00029721466 0.00023352582 0.00027598505 0.00023352582 0.00011676291 0.00026537024 0.0016028363 0.00013799252 0.0003078295 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01006284 5.3074047e-05 5.3074047e-05 0.00040336276 0.0021123472 0.0012419327 0.0048191235 0.0027704653 2.122962e-05 4.245924e-05 2.122962e-05 5.3074047e-05 2.122962e-05 2.122962e-05 2.122962e-05 2.122962e-05 0.0231509 0.0008704144 0.0052118716 0.0019106658 0.0010933254 0.001114555 0.01621943 0.0083857 0.0005307405 2.122962e-05 2.122962e-05 4.245924e-05 0.0061778193 2.122962e-05 2.122962e-05 0.00042459238 0.008417544 5.3074047e-05 0.00012737772 0.00060504413 0.0021441916 0.0013480808 0.0041610054 0.0024944802 0.000106148094 0.00016983696 0.000106148094 0.00011676291 0.00014860733 0.001507303 8.491848e-05 0.00014860733 0.0022715693 0.00029721466 0.00089164404 0.00044582202 0.0014329993 0.0007961107 0.00029721466 0.0006475034 0.0012419327 5.3074047e-05 0.00018045177 0.00029721466 0.009659477 0.00088102923 0.0005307405 0.0018151324 0.009351647 0.001008407 0.0006368886 0.00037151834 0.00091287366 0.00047766644 0.00091287366 0.00045643683 0.0012631624 0.0003078295 0.00022291101 0.00025475543 0.0021972656 0.0007324219 0.00036090353 0.0022715693 0.031504754 0.004309613 0.003460428 0.0054347827 0.013024372 0.0059442935 0.0024095618 0.006719175 0.02094302 0.001231318 0.0025793987 0.0019318954 0.010264521 0.00306768 0.0053498643 0.012260105 0.052076258 0.009298573 0.005954908 0.010360055 0.020072605 0.014807659 0.0054878565 0.014956267 0.030846637 0.002632473 0.003524117 0.004797894 0.02041228 0.0073348335 0.011708135 0.024859885 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 159.0 18.742138 2980.0 0.05805369 0.0016778524 0.00033557048 0.00033557048 0.0016778524 0.0 0.0 0.0013422819 0.00033557048 0.00033557048 0.0 0.0010067114 0.0 0.004362416 0.008724832 0.00033557048 0.01409396 0.0046979864 0.0073825503 0.0020134228 0.0023489932 0.0053691277 0.006375839 0.0013422819 0.0033557047 0.0013422819 0.0010067114 0.00033557048 0.00067114097 0.0 0.00033557048 0.0077181207 0.019127516 0.012751678 0.0046979864 0.010402684 0.0020134228 0.010067114 0.0030201343 0.009395973 0.004362416 0.0036912751 0.0 0.00033557048 0.0040268456 0.0036912751 0.0030201343 0.0016778524 0.008724832 0.0046979864 0.011744967 0.016442953 0.0073825503 0.0036912751 0.008053691 0.010067114 0.0026845639 0.0013422819 0.004362416 0.00067114097 0.0023489932 0.0010067114 0.00067114097 0.011744967 0.0 0.04932886 0.0067114094 0.023154363 0.022818793 0.087919466 0.010067114 0.01442953 0.01442953 0.04798658 0.0023489932 0.0023489932 0.026174497 0.018791946 0.05704698 0.053020135 0.018791946 0.00033557048 0.062080536 0.032885905 0.07516778 0.026174497 0.004362416 0.005704698 0.004362416 0.00704698 0.0016778524 0.0 0.0 0.0 0.0 0.0 5.279231 1.0 0.0 0.0 4.0 48128.0 98304.0 1.0 0.0 62.0 0.0 1.0 0.0 0.0 0.0 1107561700.0 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 7.0 10.0 4.0 0.0 4.0 0.0 31744.0 1024.0 4096.0 5.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31744.0 -3072.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0270507 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7577681 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.837778 -4.3654213 1.7119048 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6140.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5612.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31298.0 -2674.0 40431.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 53248.0 1593.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 40320.0 0.0 0.0 420.0 53748.0 0.0 0.0 0.0 0.0