Input: 0.23023856 0.02470703 0.018024554 0.0060686385 0.022202846 0.0116908485 0.012248884 0.003996931 0.014620536 0.0026576451 0.015290178 0.003125 0.002734375 0.0026925222 0.0042898995 0.0026157924 0.0034040178 0.004827009 0.0043945312 0.0027553013 0.0019042969 0.001890346 0.0030970983 0.002999442 0.002155413 0.011035156 0.0015485492 0.0015206473 0.002141462 0.003013393 0.0023925782 0.0018973214 0.010267857 0.0010393416 0.0010532924 0.0008161272 0.0007952009 0.0029715402 0.001297433 0.001625279 0.0076590404 0.0006696429 0.0046944753 0.00163923 0.002001953 0.0022600447 0.00242048 0.0008789062 0.003250558 0.0023856026 0.0014787946 0.0014857701 0.0012137276 0.0010463169 0.0007952009 0.0019880023 0.001234654 0.0015206473 0.0010114397 0.0006696429 0.00089285715 0.0010253906 0.00062779017 0.0008161272 0.00095563615 0.009807478 0.003013393 0.011962891 0.018171038 0.0139369415 0.003062221 0.0037737165 0.0036063057 0.019733539 0.00062081474 0.0013881138 0.006654576 0.005566406 0.008084542 0.009256418 0.006654576 0.00089285715 0.0101213725 0.014174107 0.014955357 0.0029575892 0.0114536835 0.0019601004 0.002169364 0.0026227678 0.0006696429 0.00086495536 0.0008719308 0.00083007815 0.00057896203 0.027797153 0.0012207031 0.011439732 0.002608817 0.006061663 0.0051130024 0.022181919 0.0024414062 0.005196708 0.0027622767 0.009828404 0.0011230469 0.0014439174 0.008761161 0.0052455356 0.009486607 0.01717355 0.007456752 0.0010532924 0.014892578 0.01038644 0.015980748 0.004771205 0.0021205358 0.002015904 0.0016531808 0.0027762277 0.0026157924 0.006612723 0.0006417411 0.0034179688 0.0016950335 0.00055106025 0.012709264 0.0022879464 0.0014090402 0.0008719308 0.0007533482 0.00062779017 0.0032366072 0.00076032366 0.0015973772 0.00068359374 0.00068359374 0.00052315847 0.0012137276 0.0007952009 0.0007742746 0.0006696429 0.0006417411 0.0009486607 0.00056501117 0.0019112723 0.0006626674 0.00057896203 0.001764788 0.0006347656 0.0007533482 0.00062779017 0.0014369419 0.0006487165 0.00062779017 0.00076032366 0.00069056917 0.0005371094 0.00078125 0.0007393973 0.0015485492 0.0011648996 0.00047433036 0.00068359374 0.00024414062 0.00078822544 0.0005092076 0.00038364955 0.00036969865 0.00026506698 0.00052315847 0.00036969865 0.0002859933 0.00031389509 0.00044642857 0.0005092076 0.0002999442 0.0002999442 0.00044642857 0.0002859933 0.00033482144 0.00036969865 0.0004952567 0.00068359374 0.00027901787 0.001813616 0.0005440848 0.00034179687 0.00029296876 0.008949498 0.00056501117 0.0003766741 0.00024414062 0.0002999442 0.00055803574 0.00024414062 0.0009137835 0.00026506698 0.0004394531 0.0004394531 0.00026506698 0.0002999442 0.0005022322 0.00033482144 0.00022321429 0.00025809152 0.00055803574 0.00042550222 0.00027901787 0.00031389509 0.0003766741 0.0003766741 0.00034877233 0.00036969865 0.00046037947 0.00033482144 0.00051618303 0.0002720424 0.0004394531 0.001109096 0.0012207031 0.00024414062 0.0004673549 0.00052315847 0.00024414062 0.000390625 0.00041155133 0.00041155133 0.00041155133 0.00038364955 0.0004952567 0.00035574776 0.0002859933 0.00033482144 0.0003766741 0.00030691965 0.00033482144 0.0005371094 0.001109096 0.0005092076 0.00021623884 0.00033482144 0.00043247768 0.0002999442 0.00021623884 0.0006696429 0.0005998884 0.0006626674 0.00036272322 0.00035574776 0.0006696429 0.0002720424 0.0010742188 0.001234654 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0032985331 0.0 3.5128148e-06 6.323066e-05 0.03663866 0.02464942 4.9179405e-05 4.566659e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008153243 0.00012646132 0.00012646132 0.00017564074 0.024048729 0.016380256 0.00034776866 0.0002810252 4.9179405e-05 5.6205037e-05 8.782037e-05 9.4846e-05 8.4307554e-05 7.376911e-05 0.000115922885 0.00015807667 0.012786645 0.00017564074 0.00021779451 0.0024695087 0.021196324 0.015902512 0.0022025348 0.0009308959 0.00075525517 0.00012294852 0.00012294852 0.00017915355 0.00013699978 0.000112410075 0.00013348696 0.00010889726 0.040836472 0.00016158947 0.005272735 0.0025713805 0.016376743 0.015164821 0.06651163 0.032093074 0.0003512815 0.00013699978 0.00015105103 6.323066e-05 3.8640963e-05 7.0256297e-06 1.0538444e-05 0.00010889726 0.12828448 0.010889726 0.014325258 0.004250506 0.009312472 0.00831132 0.024017114 0.021948067 0.0037622247 0.0025784061 0.0019777147 0.0011065366 0.00088874216 0.0017388433 0.0014859206 0.0025327394 0.08395979 0.0094705485 0.011125084 0.003790327 0.0045104544 0.004415608 0.00812514 0.010861623 0.0035233533 0.0020198685 0.0014753822 0.0014367412 0.0015526641 0.0018372021 0.0013945875 0.0015807666 0.039831806 0.008212961 0.004454249 0.0026310983 0.0019074584 0.001668587 0.0031334308 0.005076017 0.0039167884 0.0017353304 0.0013208183 0.0013489209 0.0008571268 0.0009835882 0.00084658834 0.0012119211 0.039817754 0.007412039 0.0031931486 0.0023852012 0.0029086105 0.0019390738 0.004475326 0.0044331723 0.0056626573 0.004285634 0.0020128428 0.0019987917 0.0015140232 0.0012048954 0.0012048954 0.0018828687 0.009393266 0.011353417 0.0024062782 0.0022341502 0.0026767647 0.009379216 0.0024730216 0.0020198685 0.008680165 0.0014191772 0.0013981003 0.008223499 0.000663922 0.0007974089 0.00070607575 0.0009238703 0.008160269 0.0033512253 0.0009800753 0.0008992806 0.0007376911 0.0024238422 0.0011100494 0.0011732802 0.0030807385 0.0015245616 0.00094845996 0.0020444582 0.00051287096 0.00086415245 0.00040046088 0.00056556315 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2419.0 16.773874 40576.0 0.0010843849 2.464511e-05 0.0 0.00019716089 0.0 0.0 0.0 0.0 4.929022e-05 0.0 0.0 0.0 0.00061612774 0.0 0.002932768 4.929022e-05 0.0037460567 0.004288249 0.0020948343 0.0019716087 0.0011336751 0.0010350946 0.0007393533 0.00083793374 0.0007147082 0.0007393533 0.0 0.0 0.0002464511 0.0004929022 0.0002464511 0.0 0.00017251578 0.029574132 0.008280757 0.038668178 0.057250593 0.044065457 0.008379337 0.011312106 0.010153785 0.065334186 0.00017251578 0.0029820583 0.019888604 0.016043967 0.02565556 0.02913052 0.019839315 0.0005175473 0.033123028 0.045593455 0.04860016 0.0075414036 0.00549586 0.0043128943 0.0050768927 0.006530954 0.00014787067 0.0 0.0 0.0 2.464511e-05 0.09495761 9.858044e-05 0.027848974 0.00549586 0.012716877 0.008231467 0.0572013 0.0028588327 0.01244578 0.004214314 0.021786278 0.00019716089 0.0018730283 0.019691443 0.014047713 0.019149251 0.019469637 0.005175473 0.0011336751 0.023166403 0.02011041 0.0378056 0.008724369 0.00443612 0.0021934148 0.0021934148 0.0050522476 0.0005914827 0.0 0.0 0.0 2.464511e-05 0.0 5.1461616 0.0 0.0 0.0 1.0 143360.0 172032.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1519213300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 141312.0 512.0 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 -141312.0 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 -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 -6.082605 0.0 3.2911322 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 -141040.0 0.0 996.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 149144.0 996.0 155648.0 0.0 0.0 0.0 0.0 12.0 163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.4596645 0.008475168 0.0015520368 0.0011160715 0.0025285992 0.0010811941 0.00038364955 0.000226702 0.0036621094 0.00040108818 0.0007847377 0.00026157923 0.0014648438 0.0010637556 0.00027901787 0.0015345982 0.001499721 0.0004185268 0.000226702 0.00027901787 0.0009242467 0.0032958984 0.0002092634 0.0001046317 0.00061035156 0.00048828125 0.00013950893 0.00013950893 0.00052315847 0.0002092634 0.0001046317 0.00038364955 0.006487165 0.00040108818 0.0008544922 0.00024414062 0.0012904576 0.0025111607 0.000226702 0.00015694754 0.00048828125 0.000453404 0.0001046317 0.00050571986 0.00034877233 0.00040108818 0.0008370536 0.00017438616 0.000819615 0.00034877233 0.0004185268 0.0018484934 0.00036621094 0.00026157923 0.00036621094 0.00015694754 0.0006626674 0.0004359654 0.00038364955 0.002859933 0.00047084264 0.000819615 0.00031389509 0.0012032645 0.0042201453 0.011561803 0.00071498327 0.0009940012 0.0020228794 0.007149833 0.0005405971 0.0004359654 0.00059291295 0.00055803574 0.00027901787 0.00015694754 0.00052315847 0.0033482143 0.0003313337 0.00036621094 0.0039236885 0.002179827 0.0015345982 0.0013602121 0.0008719308 0.0028250557 0.0015345982 0.0010114397 0.00062779017 0.00036621094 0.00068010605 0.00059291295 0.00048828125 0.0011160715 0.0007498605 0.002912249 0.00029645648 0.0054757255 0.0014125279 0.0034179688 0.0040108818 0.0070103235 0.0014822824 0.0010288784 0.004586356 0.0047084265 0.0031215122 0.00068010605 0.003592355 0.001499721 0.0035749164 0.0039760047 0.0020228794 0.00012207031 0.004865374 0.0052490234 0.0077427453 0.003226144 0.00061035156 0.000819615 0.0009940012 0.0009242467 0.0002092634 3.4877234e-05 0.00052315847 0.000453404 0.00017438616 0.00013950893 0.00069754466 0.0011683872 0.00013950893 0.0036621094 0.001273019 0.0020926339 0.00019182477 0.00038364955 0.0008893694 0.002947126 0.0004359654 0.013776506 0.00071498327 0.0031563896 0.00024414062 0.00024414062 0.00069754466 0.00013950893 0.0001046317 0.0002092634 0.0005405971 0.0004185268 0.00019182477 5.231585e-05 0.00038364955 0.0001046317 0.00017438616 5.231585e-05 0.0006626674 0.0002092634 8.719308e-05 3.4877234e-05 0.0011683872 0.0012207031 0.00012207031 0.0013078962 0.00071498327 0.00013950893 8.719308e-05 0.0009940012 0.00019182477 5.231585e-05 0.00024414062 0.00029645648 0.000453404 0.0001046317 3.4877234e-05 0.0001046317 0.00036621094 6.975447e-05 0.00015694754 0.0014648438 0.0019880023 0.0014474051 0.0012381418 0.0010811941 0.0012207031 0.00057547435 0.0004185268 0.00038364955 0.00059291295 0.0009765625 0.0006626674 0.00080217636 0.002947126 0.000906808 0.00027901787 0.0013602121 0.0019356863 0.0003313337 0.00038364955 0.0016741072 0.0010637556 0.00034877233 0.00036621094 0.00012207031 0.21557617 0.00040108818 0.00013950893 5.231585e-05 0.0008893694 0.00019182477 0.0004185268 0.00012207031 0.00048828125 0.0 0.00019182477 8.719308e-05 0.00055803574 0.00019182477 0.0001046317 0.00026157923 0.00057547435 0.0001046317 1.7438617e-05 0.0001046317 0.00069754466 0.00019182477 0.0002092634 0.00017438616 0.00047084264 0.0008893694 0.0002092634 0.00024414062 0.004865374 0.0037667411 0.000226702 0.0012032645 0.0024937221 0.00013950893 0.000226702 0.00019182477 0.00113351 0.000453404 0.00026157923 0.00050571986 0.0056152344 0.00015694754 0.00036621094 0.0004359654 0.0016217913 0.00034877233 0.00024414062 0.00047084264 0.0020054409 0.00026157923 0.0021623883 0.022984097 0.18179154 0.0 8.877841e-06 8.877841e-06 8.877841e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07272727 0.0 0.0 0.0 0.034730114 3.5511363e-05 0.00011541193 5.3267046e-05 0.00035511365 0.0001509233 0.00020419034 0.00012428977 0.00013316762 7.1022725e-05 4.4389206e-05 5.3267046e-05 1.7755681e-05 8.877841e-06 1.7755681e-05 0.00024857954 0.01665483 5.3267046e-05 5.3267046e-05 7.1022725e-05 0.00027521307 8.877841e-06 0.00014204545 0.0 2.6633523e-05 0.00011541193 0.0 4.4389206e-05 1.7755681e-05 8.877841e-06 8.877841e-06 0.0007013494 0.066823505 0.00044389206 0.00095880684 0.0003728693 0.0011452414 0.00031960226 0.0015536222 0.00079012784 0.00078125 0.00031960226 0.000612571 0.00033735795 0.050195314 6.2144885e-05 0.00042613636 0.0021306819 0.060058594 0.00021306818 0.0015447444 0.0012340199 0.0011807529 0.0004971591 0.0046697445 0.0025656961 0.00036399148 0.0001509233 0.0001509233 0.0015358665 0.015527343 0.0001953125 0.0001953125 0.00082563923 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012073863 8.877841e-06 0.00069247157 0.0003018466 0.0005060369 0.00048828125 0.002681108 0.0013494318 2.6633523e-05 1.7755681e-05 2.6633523e-05 0.0 0.0 0.0 8.877841e-06 0.0 0.012056108 0.00023970171 0.0006480824 0.00046164772 0.0003728693 7.1022725e-05 9.765625e-05 6.2144885e-05 0.00010653409 8.877841e-05 7.9900565e-05 0.00011541193 0.002006392 7.1022725e-05 0.0015713779 0.00013316762 0.033132102 0.00016867898 0.005699574 0.00083451706 0.0018110796 0.0016601563 0.017178623 0.008558239 0.00021306818 0.00023082386 0.00021306818 0.0019708807 0.00055042614 0.00016867898 0.00016867898 0.00016867898 0.006658381 3.5511363e-05 0.00016867898 0.00026633524 0.0016246449 0.0013760653 0.0049893465 0.0028053976 2.6633523e-05 3.5511363e-05 5.3267046e-05 3.5511363e-05 5.3267046e-05 1.7755681e-05 0.0 3.5511363e-05 0.0051846593 0.0003728693 0.0011363636 0.0013494318 0.0038618608 0.0023259944 0.0062233666 0.0039328835 0.0004350142 0.00012428977 0.0001953125 0.0002840909 0.008300781 9.765625e-05 0.0017489346 0.00079012784 0.009259588 0.00089666195 0.00089666195 0.0012517755 0.004518821 0.0025923296 0.0053267046 0.0031427557 0.0025213067 0.00031072443 0.00048828125 0.0016867898 0.01665483 0.00047052556 0.0008700284 0.0036576705 0.007368608 0.0011807529 0.0009144176 0.0010742188 0.0034801136 0.002903054 0.0014382103 0.0007191051 0.0056196735 0.00039950284 0.0008700284 0.0017489346 0.016796876 0.0005681818 0.0025834518 0.0068803267 0.031463068 0.00579723 0.002574574 0.0046697445 0.01512784 0.010724432 0.0058416193 0.004296875 0.022274503 0.0022638494 0.0043945312 0.00579723 0.049138848 0.0026722301 0.008833452 0.024129972 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 207.0 24.376812 5046.0 0.061632976 0.00039635354 0.0039635357 0.00019817677 0.007927071 0.0033690052 0.00019817677 0.0009908839 0.00019817677 0.00039635354 0.0 0.0019817678 0.00039635354 0.0019817678 0.007927071 0.0007927071 0.0033690052 0.0021799444 0.0029726515 0.002774475 0.00019817677 0.0005945303 0.0007927071 0.0 0.0023781213 0.00039635354 0.0015854142 0.00019817677 0.0019817678 0.002576298 0.001783591 0.013476021 0.04042806 0.0110979 0.0041617122 0.008125247 0.0154577885 0.007530717 0.0031708283 0.0039635357 0.002774475 0.004558066 0.0 0.0009908839 0.002774475 0.0047562425 0.001783591 0.002576298 0.005152596 0.0047562425 0.004558066 0.007927071 0.0057471264 0.0053507728 0.0063416567 0.0033690052 0.0047562425 0.00019817677 0.0049544196 0.0007927071 0.0021799444 0.00019817677 0.0007927071 0.023781212 0.00019817677 0.058660325 0.014268728 0.03606817 0.03309552 0.071739994 0.0110979 0.010899723 0.016646849 0.050138723 0.0019817678 0.0067380103 0.0307174 0.015061434 0.03864447 0.043400712 0.014863258 0.0005945303 0.048156954 0.055093143 0.067974634 0.020412209 0.004359889 0.007530717 0.00614348 0.009512485 0.0011890606 0.0 0.0 0.0 0.00019817677 0.0 5.2865195 0.0 0.0 0.0 4.0 57344.0 122880.0 1.0 0.0 115.0 0.0 1.0 0.0 0.0 0.0 1290009500.0 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 8.0 0.0 4.0 0.0 4.0 0.0 28672.0 4096.0 4096.0 6.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 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 -28672.0 -8192.0 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 2.6422105 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.62737375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.255212 -4.8719006 2.9500976 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8057.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1960.0 0.0 0.0 0.0 0.0 0.0 0.0 65536.0 0.0 -26084.0 -5096.0 1113.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 110592.0 1113.0 118784.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 99872.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 764.0 111476.0 0.0 0.0 0.0 0.0


Input: 0.016833723 0.0069290497 0.0063907364 0.0061970623 0.0064682057 0.004916333 0.0067492807 0.006738356 0.007051213 0.004633271 0.0052565034 0.004575666 0.006088804 0.0045175636 0.0060033887 0.00589364 0.0066589 0.004475353 0.0044967066 0.0043914276 0.0056652045 0.0039350525 0.0044500264 0.0044609513 0.0052326666 0.003965345 0.00393108 0.0035998481 0.005166619 0.0032169702 0.00412674 0.004251883 0.0072508464 0.005271898 0.004173917 0.004342761 0.005606606 0.004453999 0.004190305 0.0050434624 0.0044957134 0.0036132564 0.0039305836 0.003927107 0.0039713043 0.003533304 0.003851624 0.004704782 0.005072762 0.0032442831 0.0042935973 0.0032512355 0.004760401 0.0033455894 0.0039420053 0.0040716175 0.004481312 0.0043641147 0.0033192697 0.0035089706 0.005151721 0.0028350854 0.0036793042 0.0038153722 0.006508927 0.0049198093 0.0050047277 0.004393414 0.0045289854 0.0038481478 0.00427423 0.0046183732 0.0055857487 0.0040343725 0.0041922913 0.003888869 0.0040974407 0.00388291 0.004281679 0.0041490872 0.005173075 0.0034051812 0.003668379 0.0041793794 0.004486278 0.0035775013 0.0038868827 0.004439101 0.004667537 0.0027591058 0.0032949364 0.0032229293 0.003896318 0.0029299357 0.003658447 0.0039936514 0.004665054 0.0036852632 0.0032537186 0.0030133645 0.0046779653 0.0028921943 0.0030679903 0.0034657663 0.004326373 0.0036500047 0.0031285756 0.0029314256 0.0038853928 0.0032278954 0.0032859975 0.0035417462 0.0045230263 0.002925963 0.004674489 0.0029602284 0.0045066387 0.0036599368 0.0034051812 0.0037582633 0.0035844536 0.0050345236 0.0021592136 0.0026538265 0.003994148 0.002338486 0.0029443372 0.0032522287 0.0058712936 0.0043725567 0.003909726 0.0043998696 0.004747489 0.0037537941 0.003493576 0.0040482776 0.0042494 0.0037110865 0.0030143578 0.0037458485 0.0038843995 0.0032522287 0.0028350854 0.0032969227 0.007168907 0.00388291 0.0049570543 0.0035074807 0.003328705 0.0033093377 0.0027461941 0.0037979914 0.0032055485 0.002470085 0.0029100718 0.0029195072 0.0039057534 0.0022744248 0.003583957 0.0032646437 0.0040616854 0.0033629704 0.0027879083 0.0028236636 0.0038223248 0.0027516566 0.0029041127 0.0036172292 0.0033868072 0.0028867316 0.0025470578 0.0028013166 0.0034096506 0.0032129975 0.0025048468 0.0031807185 0.0042985636 0.0026096292 0.0025465612 0.002550534 0.0037602498 0.0025460646 0.0029741332 0.003331188 0.0038287805 0.0027074593 0.002881269 0.0026225408 0.0039693182 0.0022063907 0.0026726974 0.0028425343 0.004810061 0.0035923992 0.003482154 0.0032770587 0.0036842702 0.0024427718 0.003206045 0.00336446 0.006608247 0.004829428 0.0025793368 0.002960725 0.0029706568 0.0024740577 0.0024532005 0.003825801 0.0041734204 0.002723847 0.0032100177 0.002950793 0.0033729023 0.0023811937 0.0028003233 0.0030645141 0.003665896 0.0026220442 0.0028097588 0.0027690376 0.003420576 0.0024467446 0.0026935546 0.0030491196 0.0044361213 0.003017834 0.0027024932 0.0025559966 0.0078010783 0.0026712075 0.002417942 0.0042786994 0.0052078366 0.0026568063 0.0023121664 0.003655964 0.003443916 0.002582813 0.0024035405 0.0032383238 0.0042146384 0.0023479215 0.0053250343 0.003171283 0.0034111405 0.0021830504 0.0029984666 0.0034995351 0.0041421345 0.004010536 0.002420425 0.0025852958 0.0036981748 0.0021626898 0.0029274528 0.01328999 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000791935 4.224316e-06 3.4788486e-06 1.7394243e-06 4.323712e-05 1.6151796e-05 4.969784e-07 8.697121e-06 2.9818702e-06 1.7891221e-05 1.9879135e-05 9.939567e-07 7.4546756e-07 1.7394243e-06 1.9879135e-06 0.000101632075 0.0007486979 1.16789915e-05 3.4788486e-06 3.975827e-06 1.2921438e-05 1.0933524e-05 8.448632e-06 1.3169927e-05 4.7461435e-05 4.9697837e-06 1.0188057e-05 1.7394243e-06 3.2303594e-06 4.224316e-06 3.7273378e-06 0.00012896588 0.0028509165 1.1182014e-05 3.2055104e-05 1.565482e-05 6.535266e-05 3.8267335e-05 5.6407047e-05 6.43587e-05 0.00010486244 6.261928e-05 0.00053847604 5.9637405e-06 7.206186e-06 8.200143e-06 2.7830789e-05 0.0027264233 0.00094276795 1.1927481e-05 4.4728054e-06 6.709208e-06 1.2424459e-05 1.3169927e-05 1.217597e-05 1.5157841e-05 4.1249205e-05 4.348561e-05 0.00016052401 2.9818702e-06 3.7273378e-06 1.8885177e-05 7.80256e-05 0.0006679389 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006577509 4.920086e-05 8.796517e-05 8.001352e-05 5.243122e-05 4.547352e-05 0.00015306934 0.00011877783 4.0255247e-05 2.2364027e-05 1.7145754e-05 1.9630646e-05 3.056417e-05 2.435194e-05 4.1249205e-05 8.647424e-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 3.8018847e-05 4.3734097e-05 3.702489e-05 0.00038018846 3.3049062e-05 4.0752228e-05 3.329755e-05 3.2303593e-05 3.8267335e-05 3.3794528e-05 4.2243162e-05 3.975827e-05 3.975827e-05 3.67764e-05 3.8515824e-05 0.0001103292 0.00054593076 0.00028427163 0.00022786458 0.00068309676 0.00022935552 0.00019431855 0.00020102775 0.00024227696 0.0002089794 0.00021544013 0.00018487596 0.00018288803 0.00022190085 0.00018934876 0.00020773696 0.00056084007 0.09840147 0.07165732 0.071976386 0.061963264 0.07178529 0.06090246 0.05613346 0.055831544 0.062147394 0.05687346 0.049125317 0.048129126 0.056280814 0.047905486 0.055023953 0.058051545 12791.0 5.967868 76335.0 0.019296521 0.011711535 0.009864413 0.012759547 0.013873059 0.011646034 0.009602411 0.015510579 0.011947338 0.0074932864 0.009471409 0.009196306 0.010244317 0.008619899 0.010113317 0.012287942 0.014004061 0.0092618065 0.014488767 0.008397196 0.01214384 0.008829501 0.010047816 0.010519421 0.012825048 0.01218314 0.009484509 0.0086723 0.011659134 0.0071264817 0.010532521 0.010021615 0.017056396 0.011868737 0.012379643 0.0106111225 0.012012838 0.009419008 0.011750835 0.011619833 0.014135063 0.01040152 0.009419008 0.009091505 0.010964826 0.009104605 0.013506255 0.0110565275 0.015117574 0.008619899 0.0092749065 0.010833825 0.01219624 0.008632999 0.0092749065 0.01131853 0.012065238 0.006536975 0.008174494 0.008475797 0.009798912 0.007584987 0.009890614 0.010624222 0.01127923 0.01044082 0.008737801 0.008135194 0.015052073 0.0087902015 0.007296784 0.008895002 0.0119866375 0.010152617 0.0075194864 0.0074408855 0.010768324 0.008908102 0.009143905 0.010742123 0.012314142 0.007139582 0.015890483 0.008973603 0.013283553 0.009681012 0.008842601 0.009877513 0.0092356065 0.013244253 0.0051614596 0.0066679767 0.008108993 0.004964957 0.006903779 0.0077683893 6.544384 0.0 0.0 0.0 16.0 2013696.0 7393280.0 0.0 0.0 12.0 0.0 1.0 0.0 1.0 0.0 1542823200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 1990656.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1989120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 23552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.93042 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.8893018 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1990656.0 0.0 0.0 0.0 0.0 0.0 5373952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 155.0 2859008.0 732.0 7391512.0 22808.0 7368704.0 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 7366624.0 0.0 0.0 0.0 0.0 0.0 0.0 2710.0 2854912.0 0.0 0.0


Input: 0.0087963315 0.001953125 0.0015436186 0.0009405687 0.0010153587 0.00081393344 0.001214332 0.000839856 0.0008403815 0.031051202 0.016679768 0.0008281208 0.00077855267 0.015902616 0.0007519295 0.0006559459 0.0008181371 0.00078906177 0.00066225143 0.000704288 0.00069833285 0.0006568217 0.0006641781 0.0006060275 0.0006829194 0.00062056514 0.0006177627 0.00057064666 0.00073546515 0.0005463005 0.0005144228 0.00067783997 0.0071961386 0.00061566086 0.0011106418 0.00075841014 0.0005897383 0.001192438 0.00056942063 0.00060707843 0.0011395419 0.0007852084 0.000897306 0.0006908013 0.0006412331 0.0019133654 0.0010433831 0.0008545688 0.016857548 0.019982092 0.019593954 0.018719068 0.016280245 0.015316381 0.014718586 0.014464265 0.014710879 0.01441925 0.0006256446 0.00052072824 0.0011404176 0.0007147972 0.0010861204 0.00053211313 0.0007372167 0.0020457807 0.00093829166 0.0015152439 0.0013150446 0.0010230655 0.0012018961 0.00095633237 0.0011570571 0.00092743227 0.00056907034 0.00056381576 0.0009663161 0.0015546532 0.0013301077 0.000758235 0.0012008452 0.0006661048 0.0012542667 0.0019294794 0.0014506126 0.0006147851 0.0011789511 0.0006564714 0.0010044993 0.00054087077 0.0005245816 0.000730736 0.0005410459 0.00067503756 0.00051127 0.0006301985 0.0006626017 0.0031805935 0.0010249922 0.014890236 0.016649991 0.004392123 0.001232723 0.0034105685 0.0014077002 0.0025544234 0.00050006027 0.0007708459 0.0025892786 0.0014651503 0.0026673968 0.0039985552 0.0015262784 0.00053106225 0.0035769634 0.0019116139 0.01805489 0.016513549 0.0007396688 0.00058255706 0.0007831066 0.00092322857 0.0005410459 0.00055102963 0.00048464685 0.0004638037 0.00044401147 0.0005368423 0.014868166 0.0053680725 0.009422326 0.0051606917 0.0072075236 0.009410591 0.003961598 0.0072924723 0.0056152125 0.005939945 0.008092393 0.005882145 0.006765964 0.0051380973 0.003565929 0.008215351 0.005797371 0.004259357 0.0029563983 0.0029693595 0.007486191 0.003393929 0.0037021975 0.0047718533 0.0048554013 0.0053069443 0.008965003 0.0058506173 0.007373743 0.0038461727 0.0040619606 0.0045579923 0.007373568 0.0034032122 0.0036951913 0.003996278 0.006177277 0.0046954867 0.006052568 0.0048970873 0.009147862 0.0037691055 0.00397491 0.004448347 0.0023186682 0.0054292004 0.0050825737 0.0051044677 0.0072420286 0.0038025598 0.003759122 0.0030036895 0.0057075177 0.0028379953 0.0040123924 0.005835554 0.007847881 0.005339172 0.007732981 0.007961554 0.009481178 0.013142564 0.00440561 0.0070103016 0.0007990455 0.0006041008 0.0005452496 0.0006084796 0.00046485462 0.00053806836 0.0004935796 0.0005051397 0.00053018646 0.0005219543 0.0004911275 0.00048061833 0.00050076086 0.0004955063 0.00047711527 0.00046135156 0.00065331865 0.00054367323 0.00048850017 0.0005266834 0.00046695644 0.0004965572 0.00046870796 0.00045434546 0.00051372213 0.0004751886 0.00047291163 0.0004755389 0.000464154 0.0004711601 0.00049305416 0.0004261459 0.00073634094 0.00057922915 0.0011708941 0.006461199 0.015538124 0.050445832 0.029461343 0.026284603 0.022953378 0.01537243 0.00044436177 0.00046467947 0.0004420848 0.00046362853 0.00044068357 0.0051726024 0.00059359166 0.0005028627 0.0004715104 0.00047133525 0.00045136787 0.0004704595 0.00044506238 0.00043455322 0.00051004393 0.00047501345 0.00044856544 0.00043332716 0.00047588922 0.00047956742 0.0005352659 0.0025249978 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00013332689 3.7667912e-06 4.0295904e-06 4.642789e-06 4.9055884e-06 4.555189e-06 1.2526771e-05 4.993188e-06 2.6279938e-07 8.7599794e-08 5.2559875e-07 2.6279938e-07 8.7599794e-08 0.0 8.7599794e-08 5.3435874e-06 0.00058183784 2.5053541e-05 6.131986e-05 2.7769134e-05 0.00024817022 0.00022302907 0.0012213163 0.000581137 8.32198e-06 1.4891965e-06 2.7155936e-06 1.5767963e-06 1.6643961e-06 2.0147952e-06 1.8395957e-06 6.061906e-05 0.0034230496 0.00027550134 0.0003837747 0.00017572519 0.00022250347 0.00016608922 0.0007189315 0.000423107 6.771464e-05 4.28363e-05 3.775551e-05 4.765429e-05 1.690676e-05 4.1084302e-05 2.2863545e-05 0.00021365589 0.0042755706 0.00060732936 0.00053173077 0.00019254435 0.00020629751 0.00020279353 0.00074705103 0.0005278764 0.00014129847 5.510027e-05 6.2283456e-05 0.00011861012 6.0706658e-05 8.7424596e-05 5.3435873e-05 0.00020314392 0.0014562589 0.00019464674 0.00021365589 8.31322e-05 0.00016538841 0.000103630555 0.00030239447 0.00018395956 6.806504e-05 4.0383504e-05 5.6677065e-05 2.6192338e-05 7.7788616e-05 3.1711126e-05 5.2910276e-05 0.000172484 0.0015568235 0.00015382524 0.00020691071 0.000939245 0.00018641236 0.00020042833 0.0005559959 0.00035802036 0.0008518204 0.00059550337 0.0005607263 0.0007168291 3.915711e-05 3.4777117e-05 0.0013169753 0.00015855563 0.06043247 9.364418e-05 0.010470278 0.1582337 0.007979816 0.00514859 0.04889803 0.03778337 0.10094658 0.070917904 0.070116974 0.08977691 3.7667913e-05 2.496594e-05 0.16583377 0.00018010517 0.0014228835 0.00039980546 0.0005109696 0.00201243 0.0002931965 0.00024694382 0.0010220268 0.000683804 0.0010951726 0.00082107284 0.0008574268 0.0011613105 0.00041294543 0.00027190975 0.001730096 0.0012309523 5.974306e-05 3.2236723e-05 4.1609903e-05 6.333465e-05 3.2849923e-05 1.9447154e-05 5.3786272e-05 3.845631e-05 2.8557533e-05 2.4265142e-05 2.3564344e-05 2.2250348e-05 1.3753168e-05 1.3227569e-05 3.2499524e-05 3.8631508e-05 0.011062628 0.008778288 0.008177616 0.007991028 0.008220978 0.0077943667 0.007869965 0.007586668 0.008727917 0.007677071 0.007868214 0.0072768275 0.00785849 0.0073851007 0.0074340687 0.0074619255 109517.0 10.630861 1164260.0 0.022228712 0.00016748837 0.0022589455 0.0012462852 0.00025337984 0.00068283716 0.00020270386 0.000322093 0.0012230945 0.0011930325 0.0013880061 0.00038737053 0.00027828835 0.004767835 0.0012849363 0.0014962293 0.070714444 0.08858674 0.08759727 0.08569306 0.07369316 0.06814543 0.06819611 0.067389585 0.06749008 0.06743253 0.0005170666 0.00021472867 0.0029658324 0.0012737705 0.0029383472 0.00014515658 0.00020613952 0.0042971503 0.0017358665 0.0032887843 0.003333448 0.0016096061 0.0030714788 0.0017693642 0.0027150293 0.0013957364 0.00031951626 0.00043546973 0.0018982014 0.002435882 0.002868775 0.0011311907 0.0024539193 0.0003555907 0.0029314759 0.0054326355 0.003021662 0.0005376806 0.0020184496 0.0007713054 0.00073265424 0.00026111005 0.0002825829 0.000835724 0.00027313488 0.0008271348 0.0001820899 0.00086320925 0.00021902325 0.012729116 0.0023310944 0.0076666726 0.004610654 0.018254513 0.0038505145 0.0029658324 0.0038608215 0.009751258 0.00020356278 0.001660282 0.0099874595 0.004543659 0.010401457 0.013953928 0.002907426 0.00039510074 0.013974542 0.006594747 0.011518905 0.004237026 0.0013373302 0.0008477488 0.0010839503 0.002276124 0.00045866045 0.0001872434 0.00014172093 0.00011595348 0.0001228248 0.00014429766 4.6724224 0.0 12.0 0.0 14.0 5709312.0 5734400.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1540362600.0 0.0 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 80.0 0.0 4.0 0.0 6.0 0.0 5697024.0 512.0 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 -5697024.0 0.0 11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8853917 0.0 6.3564205 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 -5696764.0 0.0 10764.0 0.0 0.0 0.0 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 5704868.0 10764.0 5709824.0 0.0 0.0 0.0 0.0 12.0 5726208.0 28.0 5704556.0 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: 0.06713291 0.0070397574 0.006642752 0.0049448446 0.0060614226 0.004445043 0.0057282215 0.0041437442 0.004618733 0.003962965 0.005033462 0.003994867 0.0036723004 0.003413538 0.003746739 0.0035765937 0.003526968 0.004778244 0.004310345 0.0042819874 0.0033284654 0.0035659596 0.004101208 0.0034950657 0.0035340574 0.0034560743 0.0032717502 0.0034206272 0.0032433928 0.003814088 0.0035943172 0.003700658 0.004228817 0.0030697028 0.0033001078 0.0033249205 0.003342644 0.0037396494 0.0037538284 0.0033142865 0.0045301155 0.003250482 0.0036793898 0.0046258224 0.0037715517 0.0038424456 0.0036687558 0.0033249205 0.0038176328 0.0036403982 0.0034986106 0.0037148367 0.0034667084 0.003526968 0.0034986106 0.0036120405 0.0048562274 0.0036014065 0.0031441413 0.003275295 0.0034418954 0.0033568228 0.0037538284 0.003264661 0.003388725 0.0036545768 0.0035305128 0.003548236 0.0035198787 0.0034844317 0.0034986106 0.0035092446 0.0033497335 0.0033284654 0.0032292139 0.00333201 0.0033568228 0.0033958144 0.0034170826 0.003285929 0.0034773424 0.0031583202 0.0033142865 0.0036262195 0.0035056998 0.0033178313 0.0034667084 0.0032575715 0.0035907724 0.0036120405 0.003480887 0.0030697028 0.0031902224 0.0033674568 0.0031760435 0.0036262195 0.003399359 0.004161468 0.003629764 0.0038920713 0.003686479 0.0053028585 0.0035553256 0.003537602 0.0032930183 0.0043138894 0.00333201 0.0033390995 0.0040161354 0.0038672583 0.004157923 0.0045903753 0.0041756467 0.003388725 0.0045797415 0.004239451 0.004622278 0.0034667084 0.0032150352 0.003413538 0.0034170826 0.003757373 0.0034631635 0.0038920713 0.003378091 0.003700658 0.003459619 0.0033001078 0.0038778924 0.003459619 0.0030307113 0.0032965632 0.0031973117 0.0030874263 0.0033461887 0.0032540269 0.003413538 0.0031441413 0.0032292139 0.0032930183 0.0032079457 0.0032788396 0.0032327587 0.0032433928 0.0033142865 0.003424172 0.0032008565 0.0032114906 0.0033639122 0.0033674568 0.003239848 0.0032327587 0.0032540269 0.0032044011 0.0032469374 0.0031086945 0.0033036524 0.0033958144 0.0033390995 0.003090971 0.0030661582 0.0031689543 0.0032540269 0.0030945158 0.0030236219 0.0030803368 0.0030838817 0.003137052 0.0029350047 0.0032150352 0.003055524 0.003193767 0.0032221247 0.0030519795 0.0029846302 0.0030803368 0.0029420939 0.0031654094 0.0030236219 0.0031795884 0.0032114906 0.0032114906 0.0034277167 0.0031973117 0.0031512307 0.0034099931 0.003261116 0.0029279152 0.0032575715 0.0034064485 0.0032682056 0.0032363033 0.0034631635 0.003172499 0.0034879765 0.0032292139 0.003172499 0.0031583202 0.003378091 0.0031760435 0.0030378005 0.0029810856 0.0032221247 0.0029810856 0.0030626135 0.0030519795 0.0030590687 0.00304489 0.0030236219 0.0030058983 0.0029952643 0.003126418 0.0031405967 0.0031512307 0.003193767 0.0029420939 0.003172499 0.0031512307 0.003261116 0.0031547754 0.0033603676 0.00304489 0.0033001078 0.003137052 0.003413538 0.0031405967 0.0032823842 0.0032433928 0.0031441413 0.0030307113 0.0031405967 0.0030271665 0.0030058983 0.003115784 0.0029420939 0.0030378005 0.0030697028 0.0030519795 0.0030803368 0.003115784 0.0035872278 0.003193767 0.0032894737 0.0032682056 0.0032008565 0.0033922698 0.0037715517 0.0034489848 0.0037219261 0.0038282669 0.004320979 0.0045584734 0.004615188 0.005146892 0.005717587 0.04001248 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0032932253 1.7820483e-06 0.0 3.5640967e-06 0.0 0.0 0.0 1.7820483e-06 0.0 1.7820483e-06 0.0 0.0 5.8807596e-05 0.0 6.771784e-05 0.00022097399 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005793439 6.415374e-05 4.6333258e-05 5.5243498e-05 8.732037e-05 5.1679403e-05 0.00023523039 7.841013e-05 3.385892e-05 7.306398e-05 0.000106922904 7.128193e-05 9.4448566e-05 1.2474338e-05 8.375627e-05 0.00041165316 0.0053586196 0.00013365362 0.00017642279 8.732037e-05 8.019218e-05 8.910242e-05 0.00011583314 0.000103358805 7.484603e-05 6.415374e-05 3.9205064e-05 8.197423e-05 0.00013721772 0.00018889713 0.00018176893 0.0003867045 0.007591526 0.0007662808 0.00040987114 0.0005969862 0.00035640967 0.00016038436 0.000101576756 8.019218e-05 0.0001728587 0.00020493557 6.771784e-05 5.7025547e-05 8.197423e-05 0.000105140854 9.4448566e-05 0.000101576756 0.0023380474 8.910241e-06 0.00022453809 0.00020493557 0.0004864992 0.00028156364 0.0023059705 0.0012830748 7.1281934e-06 3.5640967e-06 1.7820483e-05 7.1281934e-06 5.346145e-06 0.0 1.6038435e-05 0.00010870495 0.01940829 0.00227924 0.0019014456 0.0020030225 0.002065394 0.0017481894 0.005069928 0.0030116618 0.0006201528 0.0003100764 0.00033680713 0.00028869184 0.00027799956 0.00027087136 0.00020137147 0.00035284559 0.017350024 0.003574789 0.0029207773 0.0019370866 0.0011939724 0.0011494212 0.0023130989 0.0026677265 0.000664704 0.0008072679 0.0004936274 0.00057381956 0.00066113996 0.000737768 0.0005488709 0.0062015285 0.013208542 0.004091583 0.0037084427 0.0022685477 0.0012723826 0.0012011006 0.0013846515 0.0018497662 0.0014505874 0.0013472285 0.0007555885 0.0011209084 0.0010424983 0.0010032932 0.00085716526 0.014532604 0.004047032 0.00084290886 0.0012385236 0.0013507927 0.0011583314 0.000996165 0.0009890369 0.0009177549 0.001142293 0.0010335881 0.00070034503 0.0010763572 0.0009516138 0.00084290886 0.00089815236 0.011011276 0.0054049524 0.0015771128 0.0015610744 0.001546818 0.0015699846 0.0013917797 0.0015236513 0.0016483947 0.001623446 0.0015004848 0.001069229 0.0012456519 0.0012777287 0.0012207031 0.0011351648 0.011200174 0.0062514255 0.0011832801 0.0011904082 0.0026998033 0.0019638173 0.0023095347 0.0026053546 0.0023148807 0.0023327013 0.0018515482 0.0015592923 0.0017856124 0.0010531906 0.0010442804 0.00067361427 0.009327241 0.045130376 0.04512503 0.045306798 0.044902273 0.044790003 0.0451179 0.045280065 0.04552777 0.044745453 0.045378078 0.044743672 0.04520344 0.045301452 0.04500385 0.045340657 0.045730926 1212.0 7.6113863 9225.0 0.010840109 0.006504065 0.007804878 0.005311653 0.006612466 0.0058536585 0.006395664 0.0060704607 0.006178862 0.0070460704 0.00498645 0.01094851 0.0069376696 0.0076964768 0.014092141 0.00498645 0.007913279 0.007371274 0.008238482 0.006395664 0.0074796746 0.0057452573 0.0070460704 0.006178862 0.007588076 0.005203252 0.006504065 0.0057452573 0.0074796746 0.0069376696 0.008888889 0.006504065 0.0071544717 0.01094851 0.0086720865 0.011598916 0.008888889 0.010840109 0.009539295 0.009864499 0.0070460704 0.009322493 0.006287263 0.0060704607 0.006395664 0.00899729 0.0072628725 0.0076964768 0.008346884 0.0057452573 0.009430895 0.013875339 0.009214092 0.0072628725 0.005528455 0.0054200543 0.006720867 0.006287263 0.006395664 0.005094851 0.005528455 0.006395664 0.005311653 0.009647696 0.006287263 0.026124662 0.01192412 0.020379404 0.0153929535 0.05517615 0.008130081 0.013658537 0.008346884 0.02699187 0.008455285 0.0074796746 0.02211382 0.020162601 0.02601626 0.02905149 0.014742548 0.00596206 0.032628726 0.027533876 0.041517615 0.014092141 0.0100813005 0.006395664 0.008563685 0.016476965 0.006395664 0.0069376696 0.0057452573 0.0058536585 0.0047696475 0.0043360433 6.2841525 0.0 0.0 0.0 2.0 282112.0 303104.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541547500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 237568.0 512.0 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 -237568.0 0.0 43520.0 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 -7.8902183 0.0 6.0824404 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 -237216.0 0.0 43266.0 0.0 0.0 0.0 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 74.0 245328.0 43266.0 245760.0 0.0 0.0 0.0 0.0 12.0 294912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.0126157785 0.004390275 0.00454931 0.0042585935 0.0043074903 0.0041629793 0.004064218 0.0042268834 0.004217685 0.004063734 0.0039790124 0.0039100247 0.004154265 0.0039758654 0.0038836398 0.0040145954 0.005222968 0.003848783 0.0039446396 0.0038712947 0.003981675 0.003935925 0.003903731 0.0038018231 0.0039884527 0.0038679058 0.00392358 0.0038238505 0.0038938066 0.0038236086 0.0037810057 0.0038696004 0.004319109 0.0038199776 0.0038422474 0.0038112635 0.0039920835 0.0037693868 0.0038187674 0.003821914 0.00386839 0.003825061 0.003837648 0.0038453941 0.003844426 0.0038536242 0.0037877834 0.0038361957 0.0040450953 0.0038083587 0.003825303 0.00391535 0.0038950169 0.0037948033 0.003786815 0.0037870572 0.003848299 0.0038405529 0.003794319 0.0038512037 0.0038478149 0.0037374345 0.0037483273 0.003785847 0.004475965 0.0040586507 0.0039100247 0.003907362 0.0039013105 0.004048968 0.0038180412 0.0038102951 0.0039903894 0.0038044858 0.0038153785 0.0037708392 0.00379795 0.0038269975 0.003821188 0.0038175571 0.0040603452 0.0037802795 0.0038582233 0.003941977 0.0038175571 0.003923338 0.0039327783 0.003875894 0.0039199493 0.003758252 0.0038650013 0.0038146523 0.0038265134 0.0038887232 0.003805454 0.0038420053 0.003928663 0.0039441553 0.0037567995 0.0038047277 0.0040666386 0.003967393 0.0038950169 0.0037894777 0.003868148 0.0039255167 0.0038233665 0.0038296601 0.0038945328 0.0037887518 0.0038538664 0.0039059096 0.003910509 0.003739613 0.0039792545 0.0039136554 0.004193963 0.0040276665 0.0037616407 0.0038119897 0.0038521718 0.0037805217 0.0037367083 0.0037505059 0.0038858184 0.0038088427 0.0038088427 0.00385193 0.004839058 0.0038468465 0.003813684 0.0040189526 0.0038896916 0.0039303578 0.003801581 0.0037773747 0.003820946 0.0040419484 0.0037827 0.004558024 0.0037926247 0.003970298 0.0037456646 0.0037522004 0.004090603 0.0037759223 0.0037575257 0.003761883 0.0037914144 0.0037720494 0.0037219427 0.0037299306 0.0037643034 0.0038044858 0.0037531685 0.0037638193 0.0037599462 0.003735982 0.0037565574 0.003723637 0.0038006126 0.0037713232 0.0037340457 0.0036965262 0.0038388586 0.003782216 0.003794319 0.0037609146 0.003786331 0.0037047563 0.0037459068 0.0037357402 0.003825545 0.0037255737 0.0037018515 0.0036849072 0.003989905 0.003758736 0.0037805217 0.003778343 0.0038248189 0.0037657558 0.0037338038 0.003778343 0.0038853344 0.0036955578 0.00377447 0.0038296601 0.0037945611 0.0036984626 0.0037166174 0.0038725052 0.00411965 0.0039088144 0.003868148 0.0039611 0.0038439417 0.0037580098 0.0038190093 0.0038257872 0.0038502354 0.003790446 0.0037260577 0.0037091132 0.0038197355 0.0037144388 0.0037008831 0.0037400972 0.0038616122 0.0037643034 0.00385193 0.0038124737 0.0037689025 0.0037282363 0.0038119897 0.0037444544 0.0038988898 0.003773986 0.0038030334 0.003786331 0.0038059382 0.0037894777 0.0037773747 0.00384491 0.0038867868 0.003746149 0.003750264 0.0037657558 0.0038790407 0.0037304147 0.0037299306 0.0036887801 0.0041564438 0.0038042436 0.0037311409 0.0039688456 0.0039085723 0.003785847 0.0037292044 0.0037972238 0.0041489396 0.0037139545 0.0037972238 0.0037715654 0.0038277237 0.003716133 0.0037875413 0.0037459068 0.0039492385 0.003762851 0.0037686606 0.0037454227 0.0039201914 0.003777617 0.00389187 0.0052207895 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00022688795 2.1066437e-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 0.00033718406 0.0001587247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0024648942 0.0011668869 5.690359e-06 5.8114306e-06 8.717146e-06 5.690359e-06 9.6857175e-06 3.5110727e-06 0.0004999041 2.4214294e-06 4.600716e-06 8.717146e-06 4.96393e-06 2.1792864e-06 4.7217873e-06 1.6828935e-05 0.0008288553 7.627503e-06 9.3225035e-06 1.1138575e-05 3.9227158e-05 2.3487866e-05 8.111789e-06 6.174645e-06 0.00021078544 2.2640366e-05 2.4214294e-06 2.9178225e-05 3.3900012e-06 2.6635723e-06 3.5110727e-06 3.123644e-05 0.0007242496 1.719215e-05 1.4286434e-05 1.5981434e-05 7.857539e-05 8.838218e-06 3.9953584e-06 6.416788e-06 7.990717e-06 2.9057153e-06 1.4528576e-06 4.8670732e-05 2.6635723e-06 1.5739291e-06 4.4796443e-06 5.254502e-05 0.0006803006 5.3271447e-06 5.8961807e-05 4.4796443e-06 4.2253945e-05 2.1187509e-05 0.00019528829 0.00010460575 4.6612517e-05 6.2957166e-05 2.1792864e-06 3.5110727e-06 2.5425009e-06 4.7217873e-06 1.5739291e-06 3.2689297e-06 0.00064494775 5.3271447e-06 3.704787e-05 1.3802148e-05 5.9809307e-05 6.428895e-05 0.00020037328 0.00010218432 6.3925734e-05 4.7217873e-06 2.7846438e-06 3.0267868e-06 7.143217e-06 3.5110727e-06 1.1380718e-05 1.549715e-05 0.0009123946 6.1746454e-05 0.00016138828 6.2836094e-05 8.7050386e-05 6.4652166e-05 0.00029759368 0.00014334862 3.5837154e-05 5.5450735e-05 1.1622861e-05 1.0412146e-05 1.7313221e-05 1.1622861e-05 8.838218e-06 4.1527514e-05 0.0010506583 6.210966e-05 7.2642884e-05 7.482217e-05 0.00014746505 5.0365732e-05 0.00022410329 0.00012567219 3.1115367e-05 0.00012724612 1.3196791e-05 4.37068e-05 3.971144e-05 1.5739291e-05 4.1527514e-05 0.00011150683 0.00032556118 3.8742874e-06 1.0412146e-05 4.4070017e-05 8.596075e-06 5.690359e-06 4.03168e-05 2.9057153e-05 3.9227158e-05 4.1769657e-05 3.5110727e-06 1.150179e-05 4.7217873e-05 5.932502e-06 3.305251e-05 9.407254e-05 0.00043428337 3.4263227e-05 8.1238955e-05 7.106896e-05 0.00013899006 4.770216e-05 9.5041105e-05 6.477324e-05 5.3876807e-05 2.6877868e-05 1.8887149e-05 2.7362154e-05 3.2568227e-05 1.5981434e-05 2.9299297e-05 6.7557885e-05 0.0009387882 9.8431105e-05 0.00012058719 0.00011852897 0.00030970082 0.0002291883 0.00015339756 0.00018233364 0.00042774552 5.3029304e-05 3.934823e-05 8.450789e-05 0.00021381222 0.00010121575 0.00019444078 0.00045426015 0.0021780757 0.00039663014 0.00041491195 0.0005530545 0.0007638399 0.0008037935 0.000584412 0.0005585027 0.001306119 0.00020679008 0.00019419864 0.0002876658 0.0006548756 0.00036805728 0.0006254552 0.0012615648 0.06291612 0.061446436 0.060911786 0.0603396 0.060898468 0.060592275 0.06023221 0.060488276 0.060666494 0.059866454 0.05980725 0.06013087 0.06013947 0.06030195 0.06011114 0.06040486 19305.0 5.8796687 113507.0 0.013990327 0.009955334 0.010105103 0.009937713 0.010193204 0.009356251 0.009391491 0.009708652 0.009840803 0.010466315 0.009990573 0.009999383 0.009884853 0.009796753 0.010757046 0.010307734 0.011426608 0.010889196 0.010342974 0.009937713 0.0103253545 0.009990573 0.009444351 0.009770323 0.010342974 0.009708652 0.009752703 0.010210824 0.009787942 0.00911838 0.00920648 0.009576502 0.011426608 0.010686565 0.010175584 0.010836336 0.010131534 0.0107746655 0.009884853 0.010281304 0.010184394 0.010281304 0.009638172 0.009285771 0.009981764 0.010501555 0.010281304 0.011347318 0.010439885 0.009902473 0.010034624 0.011541138 0.0103253545 0.010122724 0.009920093 0.010677756 0.010140344 0.010078673 0.009849613 0.009752703 0.009823183 0.0105367955 0.009664603 0.009858423 0.010202014 0.012298801 0.010025813 0.011373748 0.011884729 0.014853709 0.010254874 0.0102460645 0.009699842 0.01202569 0.009814372 0.009981764 0.01178782 0.010862766 0.011444228 0.012492621 0.010862766 0.009312201 0.013188614 0.01204331 0.014510118 0.011444228 0.009805563 0.009664603 0.009814372 0.010025813 0.009629362 0.009814372 0.009972953 0.009708652 0.009682222 0.009391491 6.578008 0.0 25.0 0.0 51.0 4131176.0 163840.0 0.0 0.0 120.0 0.0 1.0 1.0 1.0 0.0 1452846200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 65024.0 1024.0 4096.0 8.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61952.0 -3584.0 45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.9654326 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4580722 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.404585 -5.013272 4.140295 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -2884.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22200.0 0.0 0.0 -3208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61748.0 -3536.0 45568.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 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 -3.0 0.0 0.0 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 -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 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3536.0 102400.0 45568.0 114688.0 0.0 0.0 11296.0 4119880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 110592.0 0.0 0.0 0.0 0.0 524.0 103164.0 0.0 0.0 0.0 0.0


Input: 0.10917774 0.004436774 0.00836919 0.00305767 0.003372894 0.0027030434 0.0027188046 0.003136476 0.0029946254 0.003215282 0.0024351033 0.0027424465 0.002710924 0.0025060286 0.0026636405 0.0030103866 0.0033650133 0.0028370137 0.00278973 0.0030261478 0.0031916404 0.003136476 0.0030182672 0.0031758791 0.003136476 0.0028606553 0.003002506 0.0031995208 0.0027739687 0.003506864 0.0029394613 0.0035777893 0.0048780874 0.0049253707 0.0043264455 0.003546267 0.003467461 0.0033965358 0.0033650133 0.002868536 0.003002506 0.0029000584 0.002537551 0.008306146 0.0031916404 0.0040033413 0.003270446 0.0032468045 0.005059341 0.005272117 0.005098744 0.0054927734 0.0060759373 0.0042870427 0.0043264455 0.004160953 0.0039008937 0.0038772519 0.003893013 0.0041924757 0.004223998 0.0042870427 0.0037905653 0.004145192 0.0053194 0.0058237584 0.005106624 0.004688953 0.0058237584 0.004318565 0.0045865052 0.0054376093 0.004011222 0.0044288933 0.004153073 0.004034864 0.0041688336 0.0040742666 0.004034864 0.0036565952 0.004011222 0.0030261478 0.0029946254 0.0033965358 0.0033650133 0.0029000584 0.0036014311 0.008416474 0.0031522373 0.0029158194 0.0029237 0.0031522373 0.008124892 0.002907939 0.0029237 0.0030182672 0.0029473419 0.008873548 0.008085488 0.003294088 0.003506864 0.009503995 0.003215282 0.003270446 0.0032310432 0.0033413714 0.008187937 0.0029473419 0.00371964 0.0026005958 0.0030261478 0.0036959983 0.0030103866 0.0029158194 0.0041136695 0.0037038787 0.003546267 0.0031285954 0.0029000584 0.0029000584 0.0027582077 0.0026715212 0.0024902674 0.0024823868 0.0025296705 0.008424354 0.0033650133 0.00385361 0.0029315806 0.0031049538 0.002750327 0.0030734313 0.0027660881 0.003254685 0.0076441756 0.0027660881 0.003002506 0.002750327 0.00265576 0.0038220878 0.0023090139 0.0029788644 0.002442984 0.0026005958 0.0025060286 0.0025217899 0.0026872824 0.0025060286 0.0026242374 0.0027030434 0.0025611927 0.0027424465 0.0023799392 0.0026715212 0.0026478793 0.002632118 0.0023878198 0.0025139092 0.007762384 0.002553312 0.007715101 0.0024666258 0.0024272227 0.0026242374 0.0025060286 0.0021592826 0.0022380885 0.0020883572 0.002419342 0.0026715212 0.0027188046 0.007518086 0.0026084764 0.0022774914 0.0024272227 0.003041909 0.0030261478 0.0024666258 0.0027266853 0.0026951628 0.0025454317 0.002632118 0.0076441756 0.0025927152 0.0025611927 0.0025139092 0.0022459691 0.008053966 0.0029158194 0.0025139092 0.003002506 0.0025139092 0.0029315806 0.002616357 0.0029867447 0.007549608 0.002632118 0.0024587451 0.0024745064 0.0024508645 0.0026242374 0.002553312 0.0023878198 0.0025927152 0.0028606553 0.002230208 0.002285372 0.0025848346 0.0028370137 0.0024902674 0.0031916404 0.0025217899 0.0026399987 0.0023562973 0.0025139092 0.007187101 0.002632118 0.002829133 0.0023878198 0.0026951628 0.0028212524 0.0082588615 0.0034359386 0.0028606553 0.0030103866 0.0025217899 0.0028842972 0.0024823868 0.0028527747 0.0028133718 0.0026872824 0.002537551 0.0033413714 0.0027818494 0.0039008937 0.002710924 0.003002506 0.0027266853 0.0025690733 0.0026715212 0.0025927152 0.007817549 0.0027739687 0.0024272227 0.0028606553 0.0025690733 0.0026715212 0.002868536 0.0030497897 0.0024508645 0.0024272227 0.0026399987 0.002710924 0.002442984 0.002576954 0.0050908634 0.024590164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0076363985 4.4025357e-05 2.4013832e-05 3.602075e-05 2.4013832e-05 4.4025357e-05 3.602075e-05 4.0023053e-05 3.602075e-05 3.602075e-05 2.0011526e-05 6.403688e-05 3.201844e-05 5.202997e-05 4.0023053e-05 3.201844e-05 0.0072081517 4.8027665e-05 3.201844e-05 0.00039622822 2.8016137e-05 3.201844e-05 1.2006916e-05 0.00025614753 8.00461e-06 2.8016137e-05 2.0011526e-05 4.4025357e-05 8.00461e-06 4.002305e-06 6.403688e-05 8.00461e-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 0.0063916817 2.4013832e-05 2.0011526e-05 8.00461e-06 0.0001480853 3.602075e-05 5.202997e-05 0.00027615906 0.000576332 0.0 3.201844e-05 3.602075e-05 0.00012006916 8.00461e-06 0.00010405994 0.0003642098 0.019927477 0.00021212218 8.0046106e-05 0.013615843 0.014112129 0.00017610143 0.00010405994 0.00013207608 0.00010405994 0.00012006916 0.00011206455 8.8050714e-05 0.00012006916 9.205302e-05 0.000116066854 6.803919e-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 0.008636975 0.00010005763 0.00026415216 0.005323066 0.00427046 0.000524302 0.0019971502 0.0015649014 0.00065237575 3.201844e-05 7.60438e-05 0.00018410604 0.000144083 2.8016137e-05 0.00034019595 0.00045226052 0.012255059 0.0009605533 0.0018810835 0.0010005763 0.002109215 0.00090452103 0.001192687 0.0007244173 0.000956551 0.00018810834 0.00042424435 0.0003642098 0.00034820056 0.00040423285 0.0003602075 0.0005162974 0.0032978996 0.00020411758 0.00043625128 0.0007124104 0.00014008068 0.00017209913 0.00024814293 0.0013487769 0.00019211066 0.00017209913 0.000108062246 0.00023613601 7.20415e-05 3.602075e-05 0.0006603804 0.00016009221 0.005387103 0.0008164703 0.0003682121 0.0015689037 0.002189261 0.0006923988 0.0018970927 0.0012126985 0.00032818902 0.00027215676 0.00025214523 0.00020811988 0.0002961706 0.00032818902 0.0003602075 0.00021612449 0.0073602395 0.0012287077 0.0022933208 0.002961706 0.001324763 0.0038662269 0.0067678983 0.0038181993 0.00282963 0.0016409452 0.002961706 0.0032018442 0.001953125 0.0031738281 0.0012287077 0.00256948 0.0090812305 0.001953125 0.006011463 0.0029537014 0.004990875 0.005847368 0.008897125 0.0037701717 0.0039422708 0.002661533 0.0048067686 0.0049228356 0.0030497566 0.005527184 0.0015128714 0.0038422132 0.04430552 0.04425749 0.0500008 0.04416944 0.045101978 0.048620004 0.052218076 0.041659996 0.041419856 0.041351818 0.041151702 0.04326492 0.04019115 0.044221472 0.04093958 0.04204422 1806.0 6.3975635 11554.0 0.012117016 0.018867925 0.0051930067 0.0032889042 0.004760256 0.004327506 0.0037216549 0.004414056 0.0036351047 0.0034620045 0.0027696036 0.049852863 0.0037216549 0.004846806 0.0040678554 0.003808205 0.01618487 0.016444521 0.017396573 0.019127576 0.017223472 0.009347412 0.011943916 0.009001211 0.008828112 0.008828112 0.011164964 0.0091743115 0.009260862 0.010212913 0.010299464 0.011511165 0.011251515 0.017396573 0.010299464 0.014021118 0.017050372 0.010991864 0.012290116 0.021810628 0.010645664 0.012895967 0.008655012 0.011597715 0.010818764 0.0110784145 0.012463216 0.009693612 0.013069067 0.0039813053 0.004673706 0.006924009 0.0038947552 0.003029254 0.005366107 0.050025966 0.005885408 0.004414056 0.003808205 0.004673706 0.04742946 0.004760256 0.0045871558 0.0050199064 0.0039813053 0.008741561 0.0049333563 0.0074433098 0.008395361 0.017050372 0.0050199064 0.0056257574 0.005971958 0.0101263635 0.046996713 0.004846806 0.011684265 0.0057988577 0.00787606 0.010472564 0.0045006056 0.004673706 0.012463216 0.007962611 0.012290116 0.0050199064 0.0040678554 0.0050199064 0.003808205 0.004673706 0.0026830535 0.002336853 0.0034620045 0.047083262 0.0040678554 0.00761641 6.136654 0.0 0.0 0.0 4.0 126894.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1169570000.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 8.0 1.0 4.0 0.0 4.0 0.0 9216.0 1024.0 8192.0 5.0 0.0 0.0 3.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -73728.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.407563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1623845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.990829 0.0 3.9599009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44905.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74504.0 0.0 1932.0 0.0 0.0 0.0 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 -2.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 5512.0 1932.0 24576.0 110.0 72013.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 232.0 4096.0 0.0 0.0 0.0 0.0