Input: 0.72358507 0.0032761046 0.001591414 0.0020482792 0.00249753 0.0010926694 0.0011193199 0.0010641153 0.0022538686 0.0011021874 0.0011707172 0.000732888 0.0016713653 0.0009270558 0.00071004475 0.0014258004 0.0020311468 0.00087756204 0.00058440684 0.0007576349 0.0011631028 0.0011231271 0.00063009333 0.0005825032 0.0013629814 0.00070433394 0.00092515216 0.00068339426 0.0009213449 0.000597732 0.0009917783 0.00077857455 0.0030724187 0.00067387626 0.0008356827 0.00084710435 0.0018617259 0.00084710435 0.0007976106 0.0006567438 0.0007443096 0.00048732295 0.00050064817 0.0006929123 0.00070052675 0.00070433394 0.0010412721 0.0006186717 0.0010964766 0.0008756584 0.0009080197 0.0016085465 0.001056501 0.0017950997 0.0007557313 0.0007481169 0.00084710435 0.0008794656 0.000786189 0.0013363309 0.0009993927 0.001085055 0.0008014178 0.0010983802 0.0013724994 0.0011421632 0.00093467016 0.0035616455 0.0013477525 0.0016409077 0.00094038097 0.0010374648 0.0011897533 0.0008813692 0.0006243825 0.000597732 0.00085662236 0.0010584046 0.0007995142 0.00071575557 0.00217011 0.0011002838 0.0015552455 0.0014010535 0.0012601867 0.001176428 0.0021663029 0.001239247 0.0010679226 0.0016485221 0.0005767924 0.0014829085 0.000786189 0.001437222 0.0009327666 0.0010165252 0.0008813692 0.0020064 0.0006567438 0.0013001624 0.0013249093 0.0029582025 0.0009784531 0.0009042125 0.0014771976 0.0021244234 0.0013801138 0.0007443096 0.0015343059 0.0009384774 0.0016237752 0.0017760637 0.0011059947 0.00059392484 0.0024080607 0.0018122322 0.003327502 0.0036377895 0.001022236 0.0016351969 0.0011535848 0.0008794656 0.0006148645 0.00082997186 0.0012259218 0.0009042125 0.0006948159 0.0008356827 0.0016199681 0.00084139354 0.0005748888 0.0024099643 0.0010983802 0.0016085465 0.0005196842 0.0005082626 0.0010374648 0.0020083035 0.0010679226 0.005231107 0.0010545973 0.001663751 0.00048922654 0.000651033 0.000732888 0.0005387203 0.00049303373 0.000651033 0.0008071286 0.00067768345 0.0007481169 0.0005101662 0.00053681666 0.00057869597 0.0015933176 0.0005748888 0.0008071286 0.0005349131 0.000496841 0.0006186717 0.0007024303 0.00081474305 0.00049493735 0.00072527357 0.0008813692 0.0007347916 0.00078428537 0.00055965997 0.00078809256 0.0004359256 0.0004663833 0.0005234914 0.0007747673 0.00049493735 0.0004739977 0.0005025518 0.00064151495 0.0005082626 0.0005767924 0.0006015393 0.0005863104 0.0005482383 0.0005653708 0.000959417 0.00072337 0.0005292023 0.00088898366 0.00067197264 0.0007976106 0.00052729866 0.0005387203 0.0009042125 0.0017931962 0.0010831514 0.0006852979 0.0013724994 0.0010774406 0.0005748888 0.00084139354 0.00096703146 0.00085662236 0.0014296075 0.0004682869 0.00053681666 0.0016561366 0.0009955856 0.0005177806 0.00048922654 0.001056501 0.0015971249 0.0006129609 0.0006929123 0.0006453222 0.00052729866 0.00086614036 0.00055965997 0.00085091154 0.0005863104 0.0004720941 0.00060534646 0.000651033 0.0005501419 0.0005710816 0.0005501419 0.0010603081 0.0006110573 0.00056727434 0.0012944515 0.0010336577 0.0009879711 0.0005710816 0.0006110573 0.0027564203 0.00088708004 0.0005387203 0.0011364523 0.00161045 0.00057298515 0.0005463347 0.0006072501 0.0010945731 0.0005748888 0.00047019048 0.00082997186 0.0014905229 0.0005482383 0.0016580402 0.00074621325 0.0013382345 0.0012773192 0.0005805996 0.00063580414 0.0013648849 0.0006852979 0.0012620903 0.011547269 0.6152344 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018730164 9.536743e-06 9.536743e-06 1.9073486e-06 1.04904175e-05 9.536743e-07 1.4305115e-05 1.1444092e-05 1.9073486e-06 1.9073486e-06 1.9073486e-06 1.9073486e-06 5.722046e-06 2.861023e-06 2.861023e-06 2.861023e-06 0.0036153793 3.8146973e-05 2.002716e-05 1.7166138e-05 4.005432e-05 1.4305115e-05 3.528595e-05 1.8119812e-05 5.531311e-05 6.67572e-06 2.861023e-06 7.6293945e-06 7.6293945e-06 2.861023e-06 4.7683716e-06 2.002716e-05 0.0068950653 8.869171e-05 6.580353e-05 5.2452087e-05 0.00014400482 3.4332275e-05 0.00010585785 9.441376e-05 0.00011634827 3.1471252e-05 1.9073486e-05 2.861023e-05 2.3841858e-05 1.9073486e-05 2.7656555e-05 6.580353e-05 0.0016431808 2.7656555e-05 1.7166138e-05 4.386902e-05 2.4795532e-05 1.8119812e-05 3.4332275e-05 1.04904175e-05 7.6293945e-06 5.722046e-06 1.1444092e-05 1.2397766e-05 9.536743e-06 8.583069e-06 7.1525574e-05 6.67572e-06 0.0015821457 1.335144e-05 4.7683716e-06 2.0980835e-05 3.2424927e-05 6.67572e-05 2.193451e-05 1.5258789e-05 7.915497e-05 1.9073486e-05 5.722046e-06 3.8146973e-06 1.8119812e-05 1.2397766e-05 1.1444092e-05 4.5776367e-05 0.0074071884 0.00019836426 0.0001821518 7.534027e-05 0.00035953522 0.00022315979 0.0003156662 0.00019645691 0.00011730194 9.1552734e-05 9.8228455e-05 9.6321106e-05 7.247925e-05 9.1552734e-05 7.6293945e-05 0.00016403198 0.016813278 0.00051403046 0.0013771057 0.0006914139 0.00045394897 0.00031089783 0.0025644302 0.0014677048 0.00039672852 6.580353e-05 8.201599e-05 0.000113487244 0.00023269653 4.9591064e-05 0.00034332275 0.0038204193 0.006556511 0.0001335144 0.0004272461 0.00017642975 0.00064373016 0.00042438507 0.00082683563 0.00068950653 0.00035762787 2.3841858e-05 3.4332275e-05 0.00012111664 7.43866e-05 5.2452087e-05 0.00022602081 0.0009508133 0.0036773682 8.106232e-05 0.0005788803 0.0006160736 0.00072574615 0.0003976822 0.002286911 0.0011262894 2.9563904e-05 3.2424927e-05 3.9100647e-05 3.9100647e-05 3.9100647e-05 3.2424927e-05 3.528595e-05 2.861023e-05 0.0051059723 0.00013542175 0.00082302094 0.00022411346 0.0009899139 0.0006093979 0.0029058456 0.0015707016 0.00016975403 9.059906e-05 0.0001001358 0.0001373291 0.00011634827 0.000111579895 0.0002155304 0.00036621094 0.04551792 0.0027923584 0.0026845932 0.0050230026 0.0028791428 0.0029640198 0.0031967163 0.0033903122 0.0028381348 0.0024843216 0.002544403 0.0027618408 0.002418518 0.002506256 0.0029067993 0.0029354095 0.003909111 0.00032806396 0.00052547455 0.00029277802 0.0004491806 0.00043201447 0.00059223175 0.00057315826 0.00064849854 0.00020694733 0.00017738342 0.00021457672 0.00036621094 0.0002155304 0.00027561188 0.00055885315 0.008551598 0.0015258789 0.0014572144 0.0013561249 0.0029287338 0.0037984848 0.0017623901 0.0029382706 0.0048770905 0.001335144 0.00051116943 0.000579834 0.0029382706 0.001121521 0.0016117096 0.0037221909 0.012018204 0.0028820038 0.002067566 0.0025758743 0.003870964 0.0055093765 0.0021429062 0.004717827 0.0072460175 0.0016059875 0.0012664795 0.0012569427 0.004240036 0.0018262863 0.0036172867 0.0076093674 0.00603199 0.005911827 0.0048007965 0.0054979324 0.0051345825 0.0062150955 0.005783081 0.0058526993 0.005460739 0.004881859 0.005264282 0.005159378 0.004781723 0.00534153 0.005952835 0.0058202744 812.0 13.58867 11034.0 0.039967373 0.0018125793 0.0045314482 0.0017219504 0.005981512 0.0013594344 0.0014500634 0.00525648 0.002990756 0.0011781765 0.0020844662 0.0019032083 0.0031720137 0.00525648 0.007703462 0.0038970455 0.010966104 0.008609751 0.010331702 0.008972268 0.00788472 0.007703462 0.007431575 0.004712706 0.0068878015 0.0066159144 0.0067065433 0.005709625 0.0068878015 0.008065978 0.0065252855 0.005981512 0.0040783035 0.015588182 0.0039876746 0.009697299 0.017219502 0.005618996 0.007159688 0.0127786845 0.005165851 0.011600507 0.0018125793 0.0033532716 0.005981512 0.0061627696 0.009425412 0.0043501905 0.016947616 0.0036251587 0.0084284935 0.013594345 0.007975349 0.0038970455 0.009334783 0.010059815 0.009153525 0.002356353 0.0017219504 0.002990756 0.0041689323 0.0030813848 0.002718869 0.0058908826 0.0060721408 0.034801524 0.0060721408 0.02727932 0.019122712 0.073771976 0.0084284935 0.01051296 0.010875476 0.034439005 0.004259561 0.0032626428 0.030541962 0.013231829 0.032626428 0.03851731 0.015044408 0.002990756 0.043320645 0.027369948 0.05446801 0.017944535 0.009334783 0.0043501905 0.007703462 0.009787928 0.0031720137 0.0018125793 0.0022657241 0.0019032083 0.0017219504 0.002809498 5.923358 0.0 1.0 0.0 5.0 525319.0 540672.0 0.0 0.0 122.0 1.0 1.0 0.0 0.0 0.0 963899400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2048.0 1024.0 4096.0 6.0 0.0 0.0 3.0 6.0 0.0 0.0 0.0 0.0 0.0 -153088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -89088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -265728.0 0.0 13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.909226 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.073034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.759129 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.2516437 0.0 5.898484 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -152809.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -88632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -268288.0 0.0 13312.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 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 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 226396.0 13312.0 102400.0 0.0 0.0 0.0 0.0 3264.0 262144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 8192.0 0.0 0.0 316.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.017224615 0.004434255 0.0039481292 0.004342285 0.0042306073 0.0043685623 0.003974406 0.0037313432 0.004335716 0.003895575 0.0038167438 0.00438827 0.003823313 0.0037576205 0.0035408346 0.0044079777 0.0036590814 0.003921852 0.0038298822 0.0037182048 0.0036984968 0.003527696 0.0038890056 0.004013822 0.004013822 0.0038364516 0.0037641895 0.003895575 0.0038364516 0.0038364516 0.0038364516 0.00402696 0.0039021443 0.0036919278 0.0039021443 0.0036722198 0.0053079673 0.0039349906 0.0042634537 0.0037641895 0.004020391 0.0038430209 0.0039481292 0.004394839 0.003895575 0.0039349906 0.003823313 0.0037444818 0.0036656507 0.0036328044 0.0039941138 0.0038890056 0.0036853584 0.0038890056 0.0038101745 0.0035145574 0.0038627286 0.0037182048 0.0038036052 0.0041583455 0.0036722198 0.0038890056 0.0037182048 0.0037510511 0.0038167438 0.003895575 0.003869298 0.0037379125 0.0043817004 0.0041583455 0.0038167438 0.003823313 0.0039349906 0.0037379125 0.0038167438 0.00358025 0.0043291464 0.0036590814 0.003599958 0.003724774 0.00384959 0.0038430209 0.0037904666 0.003869298 0.0039875447 0.0036853584 0.0036853584 0.0037641895 0.004072945 0.0037904666 0.0038036052 0.0036984968 0.0037313432 0.0034948497 0.0039875447 0.003573681 0.003967837 0.0041517764 0.0037773282 0.00384959 0.0039481292 0.00384959 0.0039941138 0.003573681 0.0037444818 0.0040598065 0.0035474037 0.0038298822 0.004125499 0.003797036 0.0041320687 0.0039021443 0.0036590814 0.0038824363 0.0038824363 0.0037182048 0.0038890056 0.0039809756 0.0036130964 0.0037050662 0.0040598065 0.0036853584 0.0035079883 0.003797036 0.003921852 0.0034685726 0.003724774 0.0036656507 0.003606527 0.0039546983 0.00358025 0.003724774 0.003797036 0.003797036 0.0036590814 0.0039087133 0.0039087133 0.004145207 0.0036196657 0.00465761 0.0038036052 0.0041780532 0.0036722198 0.0039546983 0.004079514 0.004079514 0.003823313 0.0037707589 0.003869298 0.0036853584 0.0038890056 0.0038167438 0.003599958 0.0040992224 0.0036984968 0.0038101745 0.0037773282 0.004066376 0.0039546983 0.0038758672 0.0038824363 0.0038167438 0.003606527 0.0036459428 0.0038627286 0.0035933887 0.0037050662 0.0038627286 0.003573681 0.0041517764 0.0039021443 0.0035933887 0.0040335297 0.0037510511 0.0037576205 0.0037838975 0.0037707589 0.0038430209 0.0038167438 0.0037050662 0.0036656507 0.0035933887 0.0038890056 0.0040335297 0.00402696 0.0038890056 0.0038364516 0.0038364516 0.003967837 0.0038036052 0.0038298822 0.0040400987 0.0041583455 0.004611625 0.0036590814 0.0036590814 0.0040072524 0.0039349906 0.0039481292 0.00402696 0.0038430209 0.0038627286 0.003915283 0.0037182048 0.0036130964 0.0036196657 0.003967837 0.0036328044 0.003869298 0.0037313432 0.004066376 0.003974406 0.003921852 0.004092653 0.0038890056 0.003869298 0.003724774 0.0037444818 0.0038890056 0.0033634643 0.0036459428 0.0038627286 0.0038101745 0.0037444818 0.003797036 0.0036656507 0.003527696 0.003797036 0.0034817113 0.0036722198 0.003928421 0.003652512 0.0037116355 0.003553973 0.0037641895 0.0038298822 0.0037576205 0.0037444818 0.0038890056 0.0039349906 0.0039941138 0.0039087133 0.0036984968 0.0037182048 0.0039481292 0.0036787891 0.0038561593 0.0040532374 0.0038036052 0.0039546983 0.0038561593 0.0037182048 0.004125499 0.003599958 0.00384959 0.004072945 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0046569407 0.00011625744 0.00030891263 0.00016276042 0.00031555592 0.00010961416 0.00021922831 0.00015943877 0.0002889828 2.3251489e-05 2.6573129e-05 4.982462e-05 0.00011957908 2.6573129e-05 7.6397744e-05 0.00014283057 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027137809 0.00016608206 0.00068093644 0.00015943877 0.0004583865 0.00015943877 0.00025244473 0.00023915817 0.0007174745 5.978954e-05 6.311118e-05 0.00012622237 0.00039195365 6.6432825e-05 0.0002092634 0.0003388074 0.0018435109 0.00014283057 0.0007872289 0.00020262011 0.00055471406 0.00017936862 0.00036538052 0.00029562606 0.000906808 6.975447e-05 6.311118e-05 0.00016276042 0.00049160287 8.304103e-05 0.000259088 0.0003952753 0.0035375478 0.0005248193 0.0009200946 0.0005879305 0.0008935215 0.00060121703 0.0007672991 0.0006576849 0.00095663266 0.00049824617 0.00048163798 0.0006443984 0.0007108312 0.0005082111 0.0006543633 0.0006610066 0.061742667 0.060583413 0.061586548 0.059679925 0.05974636 0.059842687 0.060895648 0.059072066 0.059410874 0.06156994 0.060148276 0.06086243 0.060769424 0.060795996 0.058743224 0.06053691 729.0 5.6666665 4131.0 0.009440813 0.0072621643 0.008472525 0.0099249575 0.01694505 0.0075042364 0.012345679 0.009198741 0.010409102 0.014282256 0.0113773905 0.012345679 0.01016703 0.009198741 0.010651174 0.009440813 0.009682885 0.0077463086 0.012587751 0.013313968 0.008956669 0.010893246 0.0113773905 0.008714597 0.009682885 0.008230452 0.01016703 0.0099249575 0.008956669 0.012103607 0.008714597 0.0113773905 0.010893246 0.010893246 0.009198741 0.008230452 0.0113773905 0.012587751 0.011861535 0.01016703 0.011135318 0.0099249575 0.01016703 0.0099249575 0.012345679 0.01355604 0.009682885 0.012829823 0.008714597 0.005567659 0.011861535 0.0113773905 0.008956669 0.008230452 0.009682885 0.01355604 0.009682885 0.0113773905 0.0113773905 0.010409102 0.012587751 0.01016703 0.009440813 0.008714597 0.011135318 0.012103607 0.010409102 0.01016703 0.010651174 0.012587751 0.008956669 0.008472525 0.012829823 0.012829823 0.010651174 0.009440813 0.012829823 0.0113773905 0.011135318 0.0099249575 0.008956669 0.0113773905 0.010893246 0.0072621643 0.012345679 0.01355604 0.009440813 0.008472525 0.009440813 0.010893246 0.008472525 0.009440813 0.010409102 0.006535948 0.010409102 0.008714597 6.5630255 0.0 0.0 0.0 4.0 152224.0 380928.0 0.0 0.0 5.0 0.0 1.0 0.0 0.0 0.0 1365764200.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 43520.0 512.0 4096.0 3.0 0.0 0.0 2.0 3.0 0.0 0.0 0.0 -151040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17.45448 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -372379.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 2.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 268.0 372736.0 552.0 376832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 372836.0 0.0 0.0 0.0 0.0


Input: 0.009933377 0.0040979385 0.0041522025 0.0038864135 0.0039394377 0.0038941384 0.0038763047 0.003876686 0.0038642883 0.0038427352 0.003907299 0.0038308143 0.0038514137 0.0038812638 0.0038293838 0.004055977 0.0038571358 0.0038247108 0.0038617135 0.0038433075 0.0038887025 0.0038648606 0.0038456917 0.0038351058 0.0038685799 0.0038254738 0.0038444519 0.0038271905 0.003837204 0.0038527488 0.0038538934 0.003873539 0.0038734437 0.003860283 0.0038835525 0.0038528442 0.0039728163 0.0038508414 0.0038732528 0.0038108826 0.0038377761 0.0038490295 0.003824234 0.0038656234 0.0038607598 0.0038552284 0.0038591386 0.0038790703 0.0038502694 0.003887844 0.0038393973 0.003853035 0.003881073 0.003857422 0.0038352013 0.0038523674 0.0038633347 0.0038649559 0.003819275 0.0038414001 0.003808403 0.0038534165 0.0038518906 0.0038591386 0.0038996697 0.0038936615 0.003867054 0.0038780211 0.0039204597 0.0039438247 0.0039010048 0.003989124 0.003964424 0.0038817406 0.0038247108 0.0038458824 0.0038628578 0.0038854599 0.0038576126 0.0038394928 0.003934002 0.0038372993 0.0038691522 0.0039288523 0.003905487 0.0038710595 0.0038619041 0.0038978576 0.003838253 0.0038967133 0.0038367272 0.003810787 0.0038582801 0.0038365363 0.0038508414 0.0038622855 0.0038808822 0.004026413 0.0038381577 0.0039266585 0.0040424345 0.004314041 0.0039801598 0.00391798 0.0039078714 0.004124069 0.0038606643 0.0038273812 0.004007435 0.003916168 0.0040242197 0.004032993 0.003982735 0.0038497925 0.004116535 0.0039813993 0.004208088 0.0039775847 0.003856945 0.0038546561 0.0038675307 0.0039140703 0.0038978576 0.0038459778 0.0038732528 0.0038129806 0.0038059235 0.0038170815 0.0039194105 0.003847599 0.00384655 0.003915119 0.0038424493 0.0038853646 0.0038336753 0.003857422 0.0038589477 0.003967285 0.0038968087 0.00394001 0.00384655 0.003989601 0.0038860322 0.0038306236 0.0038586617 0.003827858 0.0038703918 0.0038191795 0.0038625717 0.0038473129 0.003850937 0.003827095 0.003848362 0.0038508414 0.0038475036 0.0038630485 0.003860855 0.0038407326 0.0038357736 0.003856945 0.003843212 0.003830433 0.0038464547 0.0038758279 0.0038567544 0.0038565635 0.003832817 0.0038472177 0.0038386346 0.0038546561 0.0038440705 0.0038662911 0.003853798 0.003856182 0.0038209916 0.0038398742 0.003818798 0.003824234 0.0038527488 0.0038942336 0.003882885 0.0038481713 0.003822136 0.0038532256 0.0038691522 0.0038584708 0.003850937 0.0038609505 0.003869629 0.0038591386 0.0038742064 0.0038654327 0.0038909912 0.0038949014 0.0038614273 0.0038529397 0.0038925172 0.0038125992 0.0038371086 0.0038516999 0.0038817406 0.0038563728 0.0038464547 0.0038799285 0.00386343 0.0038521767 0.0038521767 0.0038580894 0.0039011003 0.0038770675 0.0038565635 0.0038495064 0.0038226128 0.003833294 0.003866577 0.0038531304 0.0039083483 0.0038843155 0.0038214684 0.0038902282 0.0038261414 0.0038887025 0.0038686753 0.0038883209 0.00389843 0.00382061 0.0038729669 0.0038731575 0.003856659 0.0038671494 0.0038415908 0.003930092 0.0039337156 0.004041195 0.0038413047 0.003884411 0.0038915635 0.0038661002 0.003852558 0.003875637 0.0038837432 0.0038732528 0.003871727 0.0038463592 0.003914356 0.0038791657 0.0038888932 0.0038960457 0.003919506 0.0039164545 0.0038599968 0.003854561 0.003899002 0.0038500787 0.0038697242 0.0048175813 0.0003896617 0.0 0.0 0.0 0.0 0.0 4.7688374e-08 9.537675e-08 4.7688374e-08 4.7688374e-08 4.7688374e-08 9.537675e-08 0.0 9.537675e-08 4.2919535e-07 9.537675e-08 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.73651e-05 4.768837e-07 4.2919535e-07 6.199488e-07 9.060791e-07 2.8613024e-07 1.9552233e-06 7.63014e-07 7.153256e-07 6.199488e-07 5.245721e-07 5.722605e-07 4.2919535e-07 4.768837e-07 5.722605e-07 9.537674e-07 8.264395e-05 9.060791e-07 8.107023e-07 6.676372e-07 1.3829629e-06 8.583907e-07 1.9075349e-06 1.144521e-06 1.0968325e-06 4.768837e-07 1.0968325e-06 5.245721e-07 9.060791e-07 9.060791e-07 1.0014559e-06 1.3352744e-06 0.00038250844 7.91627e-06 2.169821e-05 2.7182373e-06 2.7754633e-05 2.9089908e-06 2.7182373e-06 1.4831084e-05 4.196577e-06 1.7644697e-06 2.1459769e-06 2.2413535e-06 2.5274837e-06 4.339642e-06 4.38733e-06 3.6720048e-06 0.0002731113 3.0043675e-06 1.1492898e-05 3.3381862e-06 3.695849e-05 1.988605e-05 1.7644697e-06 6.1518e-06 1.7644697e-06 2.0029117e-06 2.5274837e-06 2.7182373e-06 2.2413535e-06 1.4878772e-05 6.390242e-06 2.432107e-06 0.0005450304 1.0920638e-05 1.201747e-05 9.156168e-06 3.97721e-05 2.3558056e-05 1.50218375e-05 9.68074e-06 1.2446665e-05 7.4870745e-06 6.390242e-06 1.0014558e-05 1.3925005e-05 2.4750265e-05 2.5131772e-05 1.6023294e-05 0.0011042242 1.7167815e-05 2.551328e-05 2.4559513e-05 5.9944286e-05 2.0982885e-05 2.4464136e-05 2.1316702e-05 3.0377494e-05 2.3891875e-05 2.021987e-05 3.4144876e-05 4.2347274e-05 8.2834704e-05 8.0784106e-05 4.754531e-05 0.0004533257 1.4831084e-05 3.924753e-05 2.9709856e-05 6.290097e-05 3.810301e-05 0.00014187291 9.175243e-05 2.222278e-05 1.04914425e-05 8.917726e-06 1.2828173e-05 2.0696754e-05 2.2365846e-05 2.3558056e-05 8.149943e-05 0.0003703479 1.4115758e-05 2.9995987e-05 2.3510367e-05 2.932835e-05 1.993374e-05 7.644446e-05 5.5747707e-05 3.1283573e-05 1.5307967e-05 1.2637419e-05 1.8407713e-05 2.8374581e-05 2.990061e-05 3.3572614e-05 9.008333e-05 0.0007029743 2.8803777e-05 4.167964e-05 4.8165257e-05 4.0344363e-05 3.8770646e-05 7.563376e-05 6.313941e-05 6.0850365e-05 6.0135037e-05 5.1980325e-05 6.3997795e-05 8.8748064e-05 0.00012646956 0.00016514484 0.0004918102 0.0006833744 5.274334e-05 4.578084e-05 4.125044e-05 4.859445e-05 4.7211488e-05 6.5285385e-05 6.56192e-05 0.00015360425 5.5461576e-05 6.271021e-05 0.00010858643 8.102255e-05 9.80473e-05 0.00010453291 0.00023949101 0.00072953675 9.0417154e-05 6.9434274e-05 9.199087e-05 0.0001931856 0.00014583104 0.00029881534 0.0002251845 0.00020148337 6.428393e-05 7.210482e-05 0.00010310226 0.00012456204 0.00010562975 0.00015560717 0.0002588048 0.0011787612 0.0002575172 0.00032141965 0.00024635813 0.00050969335 0.0003625747 0.0010110412 0.0006081698 0.00045294416 0.0002145023 0.00018727224 0.00022499374 0.0002924251 0.00023915719 0.0003411626 0.00048627832 0.061701555 0.061107643 0.061191335 0.061099727 0.061206214 0.0611776 0.06191181 0.061500024 0.06119334 0.06111408 0.061137687 0.06112457 0.06108895 0.06108852 0.061207503 0.06132329 50711.0 6.1686025 312816.0 0.010258427 0.008813487 0.009385709 0.008909391 0.009123574 0.009043655 0.009299397 0.0089733265 0.008858243 0.008861439 0.008538566 0.008676027 0.009037262 0.009184313 0.009580712 0.009398496 0.009299397 0.009273822 0.009120378 0.009257838 0.008963736 0.009347348 0.008918981 0.0088646365 0.009219477 0.008982916 0.008970129 0.009094804 0.009123574 0.0089733265 0.009104393 0.008906194 0.009235461 0.010466216 0.009532761 0.011399672 0.010801877 0.010092195 0.010584497 0.01363741 0.009481613 0.010948928 0.00897972 0.009136361 0.010009079 0.010248836 0.009475219 0.009283412 0.011252621 0.009344151 0.010526955 0.01184722 0.0102776075 0.009331364 0.0092258705 0.010565316 0.009072426 0.009222674 0.009302593 0.0090084905 0.008835865 0.009174722 0.009066032 0.009181116 0.009139558 0.015891131 0.0097213695 0.01174812 0.014711523 0.024691831 0.009884405 0.011111964 0.010315969 0.018314281 0.00908841 0.009484809 0.013931513 0.011588282 0.015299729 0.015740883 0.013493556 0.008832668 0.01622679 0.013813232 0.019899877 0.011917549 0.009775715 0.010076211 0.0099994885 0.01026482 0.0093952995 0.009040458 0.0093952995 0.009161935 0.008947752 0.009184313 6.547516 0.0 2.0 0.0 159.0 10485760.0 217088.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1260053500.0 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 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 23040.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23040.0 0.0 26624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.262078 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.617802 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.481953 0.0 5.5873046 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22738.0 0.0 26544.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 29604.0 26544.0 188416.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.18508188 0.022715466 0.0141438255 0.0059618047 0.010563032 0.0050032157 0.012857461 0.0062524737 0.007916089 0.0040693646 0.015745597 0.0039456757 0.0026654957 0.0029623492 0.005423758 0.0014409757 0.002919058 0.012350337 0.022214526 0.004347665 0.0020284979 0.002251138 0.0035127646 0.002863398 0.002319167 0.001570849 0.001459529 0.0016574312 0.0023439047 0.002461409 0.001793489 0.001403869 0.0074337027 0.0010822779 0.0019419157 0.0015522956 0.0009276667 0.0010266178 0.0013667623 0.0008101623 0.008664407 0.0025541757 0.00411884 0.0018367801 0.002251138 0.0019666534 0.0051825647 0.0016945379 0.0038900159 0.002319167 0.0017563823 0.002071789 0.0014904512 0.0014657135 0.001348209 0.0010513556 0.0015399267 0.0026654957 0.004836236 0.0010513556 0.0023995647 0.0019481002 0.0021027112 0.0009771422 0.0009276667 0.0036921136 0.0016636157 0.0041621313 0.0029005047 0.0025603601 0.0025665446 0.0016636157 0.0016450624 0.003698298 0.00065555115 0.0020903423 0.0017440135 0.002696418 0.0017378291 0.0015522956 0.0029994557 0.00100188 0.00200376 0.0037477736 0.0023995647 0.0027458936 0.0018058579 0.0021088957 0.0013915001 0.00079160894 0.0007235801 0.0012801801 0.0008349001 0.0005751534 0.0005751534 0.004403325 0.0011441223 0.010346577 0.0023006136 0.005269147 0.005695874 0.020291165 0.00200376 0.0043414803 0.0029685334 0.010074461 0.0016326935 0.0023439047 0.006394716 0.0059308824 0.011336087 0.017347367 0.008120176 0.0010080645 0.0121338805 0.010352761 0.01359341 0.0046197805 0.0016698001 0.0023562736 0.0016017712 0.0037292202 0.00085963786 0.0028324758 0.00063081336 0.0016759846 0.0022264002 0.0008410845 0.0037292202 0.0019542845 0.0015770334 0.0012863645 0.00090292894 0.00065555115 0.0017749356 0.0004700178 0.00047620226 0.00059370673 0.0006741045 0.00073594897 0.00079160894 0.0013420245 0.0009091134 0.0005380467 0.00054423115 0.0008163467 0.00068028894 0.00090292894 0.00055660005 0.0005133089 0.0013049179 0.00045146447 0.00053186226 0.00061226 0.00065555115 0.00036488226 0.00044528002 0.00058133784 0.00045764892 0.00050712447 0.00073594897 0.0006060756 0.0017130913 0.00045764892 0.0006246289 0.0007854245 0.00043909557 0.00039580447 0.00047620226 0.0008101623 0.00070502673 0.0010266178 0.00053186226 0.00079160894 0.00040198892 0.0007112112 0.0006493667 0.00070502673 0.00046383336 0.0005133089 0.00051949336 0.00058133784 0.00046383336 0.0009400356 0.00034014447 0.0008843756 0.00044528002 0.00070502673 0.00038343557 0.00037106668 0.00037106668 0.00026593113 0.00037106668 0.00065555115 0.00037106668 0.00030922223 0.00055660005 0.0006617356 0.00055660005 0.00043291115 0.00054423115 0.00068028894 0.00037106668 0.00045764892 0.00036488226 0.0004885711 0.00043291115 0.00087200676 0.00065555115 0.0007112112 0.00055660005 0.00032777557 0.0006988423 0.00050712447 0.00043909557 0.00066792005 0.00038343557 0.00058133784 0.0006246289 0.0006988423 0.0007483178 0.0006369978 0.0015090045 0.00045146447 0.0009214823 0.0008658223 0.0004700178 0.0004267267 0.0007297645 0.0054175737 0.017501978 0.0023995647 0.0008658223 0.0016203246 0.0007854245 0.0013111023 0.00063081336 0.0013420245 0.0012678112 0.001348209 0.0011132001 0.0015955868 0.0009647734 0.0022449535 0.0029252425 0.0049846624 0.0026716802 0.0028262914 0.002139818 0.0019419157 0.0016945379 0.0021027112 0.0022449535 0.0037230358 0.029487433 0.13837077 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00012520033 0.00012520033 0.0 7.199019e-05 6.573017e-05 4.0690105e-05 3.443009e-05 2.5040064e-05 1.8780049e-05 1.2520032e-05 1.8780049e-05 0.0 3.443009e-05 1.8780049e-05 0.00027544072 0.005543244 0.00015024039 0.00018467047 2.1910057e-05 1.8780049e-05 5.008013e-05 4.0690105e-05 2.8170072e-05 2.8170072e-05 3.130008e-06 3.7560098e-05 1.5650041e-05 2.1910057e-05 4.0690105e-05 2.1910057e-05 0.00025979066 0.005486904 0.00048202122 0.00033178084 3.1300082e-05 0.00049767125 0.00025979066 9.703025e-05 0.0001940605 9.0770234e-05 3.443009e-05 5.9470152e-05 6.2600164e-05 3.1300082e-05 9.390024e-05 5.9470152e-05 0.00045698116 0.010037935 0.004676232 0.00095152244 3.7560098e-05 0.0007230319 0.00060096156 0.0004319411 0.00021597055 5.6340145e-05 3.1300082e-05 0.00010955028 3.1300082e-05 2.8170072e-05 8.138021e-05 0.00020658053 0.0010798528 0.009969075 0.01907114 0.004335061 0.0020908453 0.0060221353 0.007393079 0.0056966147 0.030439328 0.01592235 0.0010767228 0.0010297727 0.0010798528 0.0010172526 0.00087327225 0.0005321014 0.0060283956 0.070469 0.075189054 0.010704627 0.010995718 0.00785945 0.012028621 0.009765625 0.046317857 0.026279548 0.0028170072 0.0015556139 0.0019719051 0.0012332231 0.0009327424 0.0016244742 0.0037653996 0.04336939 0.12457432 0.032774314 0.018028846 0.0060346555 0.0050267926 0.00397511 0.017628206 0.016035032 0.006710737 0.0020376353 0.0032176482 0.0019844251 0.0018592248 0.0036652393 0.014457507 0.030451847 0.041031275 0.0091897035 0.0048045623 0.003540039 0.0041159606 0.0036276793 0.0044821715 0.0032896383 0.0030486279 0.0021033655 0.0016808143 0.0016808143 0.0014429337 0.0014617137 0.007080078 0.016394982 0.022489108 0.0052396334 0.00393129 0.0023600261 0.0021503156 0.0017747146 0.0034523988 0.0022379558 0.0026198167 0.0013709435 0.0014116336 0.0009703025 0.0011268029 0.0010266426 0.0031487881 0.008792193 0.011828301 0.0014460637 0.0017465445 0.0022786458 0.0022755158 0.0017465445 0.003514999 0.0018247947 0.0004663712 0.00055401144 0.0005101913 0.00049454125 0.0005195813 0.0004695012 0.00067295175 0.0017027244 0.0021878756 0.00056966144 0.0002347506 0.0003192608 0.00069486175 0.00043820112 0.00037560097 0.00019093048 0.00013459034 0.00024414062 0.00014398037 0.0002316206 0.00015337039 0.00018154047 0.0001596304 0.00015024039 0.004732572 0.0017308944 0.0021471854 0.002757537 0.0012770433 0.0015963041 0.003164438 0.0023224659 0.0010829828 0.0006698217 0.00081067206 0.0006479117 0.0007199018 0.0006353916 0.0006573017 0.00068860175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1602.0 16.613607 26615.0 0.02040203 0.00033815517 0.0028179598 0.00045087357 0.00056359195 0.00011271839 0.00033815517 0.00026300957 0.00018786399 0.00015029119 0.00015029119 0.00026300957 0.0011647567 0.0027052413 0.010896111 0.0030433966 0.006462521 0.004396017 0.0027428141 0.002968251 0.0025173775 0.0019162126 0.0013901935 0.00090174715 0.0011271839 0.0012399023 0.0013526207 3.7572798e-05 0.005222619 0.0023295134 0.0051850462 7.5145595e-05 3.7572798e-05 0.012662033 0.004659027 0.01626902 0.010407665 0.007815142 0.0073266956 0.005335337 0.0037948524 0.011797858 0.0 0.0026300957 0.004471163 0.0090550445 0.0063873758 0.004471163 0.011083975 0.00026300957 0.0065752394 0.016006012 0.008529025 0.0032312605 0.0024798047 0.007890288 0.002780387 0.00090174715 0.0004884464 0.0 0.00037572798 3.7572798e-05 0.00015029119 0.020289311 0.00067631033 0.05064813 0.0097689275 0.026000375 0.025887657 0.105053544 0.005748638 0.020214165 0.011647567 0.04835619 0.00086417433 0.0069885403 0.03182416 0.028893482 0.05049784 0.054743566 0.023407852 0.00090174715 0.050835993 0.043697163 0.072440356 0.020665038 0.005748638 0.00913019 0.0051099006 0.016870186 0.0012774752 7.5145595e-05 0.0 3.7572798e-05 3.7572798e-05 3.7572798e-05 5.263494 0.0 17.0 0.0 1.0 161696.0 180224.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1486543500.0 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 11.0 0.0 4.0 0.0 4.0 0.0 94720.0 512.0 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 -94720.0 0.0 59904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.981877 0.0 4.6248593 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 -94212.0 0.0 59584.0 0.0 0.0 0.0 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 75.0 102320.0 59584.0 106496.0 0.0 0.0 6048.0 155648.0 12.0 172032.0 28.0 102008.0 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: 0.23272596 0.013957804 0.0103024095 0.018249135 0.014482389 0.017007574 0.015186992 0.021735648 0.0218637 0.008854233 0.014949444 0.00614037 0.012719956 0.0022864002 0.00078564073 0.0025814793 0.0051258416 0.0021447374 0.0008951355 0.0008184273 0.0017772801 0.002866042 0.0016838693 0.0007039836 0.001135158 0.0005097385 0.00049736624 0.00061923335 0.0012613555 0.0016424222 0.002084113 0.0006415035 0.0060877874 0.00082152034 0.0013560035 0.0006705784 0.0020006 0.0012205269 0.0020705035 0.00041261603 0.0008604931 0.00049179874 0.00058273505 0.0009904022 0.0007169745 0.0007262537 0.0014846753 0.0014358048 0.0034902242 0.0010355611 0.0009576156 0.0026037495 0.00085059524 0.0011017529 0.0006848065 0.0008685351 0.0009743182 0.0012700161 0.0015112758 0.0017148 0.0009736996 0.0013881715 0.0005777862 0.0007936827 0.0057011535 0.0017618148 0.0010145282 0.0014648797 0.023651497 0.0047781803 0.0029291408 0.0012440343 0.0012916676 0.0013219797 0.00042065803 0.00049303594 0.0013720875 0.0021459744 0.0011778425 0.0008629676 0.004879633 0.0011790796 0.0012409411 0.0032031871 0.0012774394 0.0018799702 0.002789334 0.0026018936 0.0011679446 0.0019436874 0.0008017247 0.0010961853 0.0014116789 0.0014382793 0.002866042 0.0021001971 0.0012811511 0.0042461716 0.0017593403 0.0029910023 0.0035205365 0.0069074524 0.004921699 0.0024831195 0.004053164 0.004517125 0.0029297594 0.0011555724 0.0061341836 0.002008642 0.0044039185 0.004689718 0.002644578 0.0010386541 0.0050602686 0.0040247072 0.008348206 0.0065276227 0.0024200208 0.0021762867 0.0017110883 0.001501378 0.00090317754 0.001127116 0.001485294 0.0017704754 0.0014698287 0.0010423658 0.003091218 0.0013733247 0.0013380636 0.0037432378 0.0019907022 0.0043952577 0.0010064861 0.00083203684 0.0015737559 0.0034388793 0.0013368265 0.007900948 0.0010219516 0.0048932424 0.0007677009 0.00082523207 0.0013188866 0.00072810956 0.00077450566 0.001019477 0.0009786485 0.0008908052 0.0013244542 0.0008178087 0.0009928766 0.0012687788 0.0007398632 0.0007775987 0.0010343238 0.00084131607 0.00073182123 0.00078440347 0.0011815542 0.0015106571 0.0014624052 0.0010250446 0.001008342 0.0009526667 0.0010337052 0.001008342 0.0011716563 0.0008011061 0.0009229732 0.001051645 0.0011135065 0.0008982286 0.00093039655 0.0008938983 0.0014135346 0.0009656576 0.0009953511 0.00084502774 0.0009235918 0.000997207 0.0009112195 0.0009928766 0.0011648516 0.0008264693 0.00079430133 0.00087410264 0.0009037961 0.00086234894 0.0009873091 0.0008833819 0.0045356834 0.0014240511 0.0015997377 0.0017011905 0.0017587217 0.00073677016 0.004174412 0.0019449247 0.0013083701 0.0015483927 0.0009687507 0.00079430133 0.018075923 0.00075656583 0.0008889494 0.0008017247 0.0013980693 0.00087533984 0.0009365827 0.0009273035 0.000940913 0.0006520199 0.0011042273 0.0009526667 0.0013417754 0.000830181 0.0008283251 0.0010547382 0.0010633988 0.0008728654 0.0008802888 0.00097555545 0.0019647204 0.0010343238 0.0010980412 0.0010343238 0.0015050897 0.001124023 0.0012854814 0.0013733247 0.0053943205 0.002243097 0.0017556286 0.004574037 0.0032576253 0.0018205831 0.0019647204 0.0021100948 0.0030522451 0.0017667637 0.0018174901 0.0021150438 0.0023309402 0.0017927455 0.00236682 0.0022666045 0.0033609339 0.0020804014 0.0017395447 0.0020748337 0.0036943671 0.0024311559 0.0029081078 0.11942667 0.049948663 1.579096e-05 4.9540267e-06 1.3623573e-05 1.5171707e-05 4.9540267e-06 2.6627893e-05 1.33139465e-05 1.7958346e-05 5.2636533e-06 2.4770134e-06 4.334773e-06 4.0251466e-06 4.0251466e-06 2.1673866e-06 1.1765813e-05 0.0102876555 0.000162554 3.0343414e-05 2.0125733e-05 1.5481333e-05 1.2385067e-05 3.622632e-05 1.579096e-05 1.021768e-05 4.334773e-06 1.6410213e-05 9.598427e-06 6.1925334e-06 4.6444e-06 4.0251466e-06 0.0001439764 0.012156872 0.0002901202 0.00010929821 7.616816e-05 0.00016998504 6.3783096e-05 0.00015883848 6.718899e-05 3.25108e-05 2.136424e-05 2.136424e-05 4.0251467e-05 1.9816107e-05 1.950648e-05 2.4770134e-05 4.458624e-05 0.010755502 0.0009914245 0.00040499168 8.205107e-05 9.350725e-05 6.687936e-05 0.00012570842 8.6695465e-05 9.474576e-05 4.1180345e-05 3.4058932e-05 3.436856e-05 3.9632214e-05 3.71552e-05 0.00049230637 0.0043750247 0.015698692 0.0007446521 0.0006978985 0.0004356447 0.0005006663 0.0007050199 0.00047434805 0.0006226592 0.00011301373 4.4276614e-05 2.4770134e-05 4.2418855e-05 6.656973e-05 4.6753627e-05 0.0012323142 0.007719612 0.011136033 0.00040653982 0.00046536888 0.00018422787 0.0075050406 0.000255442 0.0015880752 0.000487662 0.00021178465 5.6042427e-05 8.762434e-05 7.926443e-05 0.004956194 7.926443e-05 0.0018899612 0.0048537077 0.026982106 0.00090782536 0.0006028431 0.00032851388 0.00986935 0.0022506763 0.009708963 0.0010025712 0.0003217021 7.833554e-05 8.297995e-05 0.0001068212 0.009038622 0.0006830364 0.0048803356 0.0130538605 0.068825364 0.0010771912 0.001974799 0.00063690206 0.0059392587 0.002387531 0.009505848 0.008422155 0.002215998 0.00025172648 0.0012450088 0.0016896327 0.005718185 0.0021280642 0.005130514 0.031868942 0.096384615 0.0023228193 0.0027522715 0.0011521208 0.0027587735 0.0011022709 0.0047242837 0.0045982655 0.004766393 0.0066377763 0.0072362847 0.005925635 0.0054283747 0.003638423 0.0041437335 0.04871078 0.017919952 0.00052326906 0.0013570937 0.0012409837 0.001909158 0.0011614097 0.00598787 0.0035975522 0.00093197625 0.00064990635 0.000490139 0.00038238894 0.00071214134 0.00034616262 0.0009465287 0.0036950847 0.016672468 0.00097346626 0.0019107062 0.0016416406 0.0030575632 0.001850329 0.0063365097 0.004169742 0.00074248476 0.0006440235 0.0005632109 0.00045793783 0.00095860416 0.0004941642 0.0010827645 0.0028324646 0.00878256 0.0008712894 0.0011623385 0.0013273695 0.0019429073 0.0015134552 0.003032174 0.0020364146 0.00069573114 0.0007991464 0.00045205493 0.00034554335 0.00082979945 0.000441218 0.0006003661 0.001800479 0.009310474 0.0010013327 0.0014193286 0.0011898953 0.0016945867 0.0015307942 0.0030575632 0.0020364146 0.0009651063 0.0009140179 0.0010988651 0.0007421751 0.0013388257 0.0009852321 0.0009815166 0.0034396427 0.0340515 0.0073607545 0.004301024 0.005588142 0.00858347 0.009852939 0.006545198 0.007969171 0.016009247 0.002061804 0.0025599932 0.002519742 0.0072257575 0.0030903837 0.0061210096 0.018835828 0.02347125 0.0059036515 0.0038437054 0.00589684 0.0066012405 0.008220279 0.0054875133 0.0071551627 0.011663946 0.0020943147 0.0023714306 0.0022547015 0.0059884894 0.0028934611 0.0053063817 0.013086061 0.0015738324 0.0008740761 0.0008743857 0.000977801 0.0008037908 0.00084930594 0.0011877279 0.0009561271 0.0007697319 0.00073071895 0.00069294445 0.0007186435 0.0007245264 0.00075765647 0.0006988274 0.0007604431 7512.0 19.261314 144691.0 0.024134189 0.0009744905 0.0048240735 0.0015412155 0.0025502623 0.0031238985 0.0006358377 0.0007947972 0.0013891673 0.0013615221 0.0011472724 0.0014513688 0.002273811 0.0042297035 0.009033043 0.003040963 0.008666745 0.0047065816 0.0035316641 0.003683712 0.0019628035 0.0015757718 0.0019351584 0.003953252 0.0019144246 0.002073384 0.0028750924 0.0026262864 0.0034487287 0.0049070087 0.0019558922 0.0031308099 0.0040292763 0.011659329 0.0033934384 0.008182955 0.248267 0.009489187 0.011085693 0.0071739084 0.002868181 0.008037819 0.0009952243 0.0020319163 0.0077544563 0.006379111 0.0059160558 0.0043541063 0.008321181 0.0019213358 0.00550829 0.011735354 0.0061095716 0.0027714232 0.0058607655 0.0063860225 0.003407261 0.0018522231 0.0010712484 0.00073950697 0.0038426716 0.0011058048 0.008659834 0.0077198995 0.0009606679 0.025855098 0.0061925068 0.015833743 0.021162339 0.046353955 0.031411767 0.0146380905 0.00847323 0.027237354 0.0025087947 0.002446593 0.049429473 0.0094200745 0.02538513 0.027983772 0.011548749 0.00062892644 0.030188471 0.022613708 0.034673892 0.010297807 0.0115349265 0.007201554 0.0053216857 0.005701806 0.0012785868 0.00039394296 0.002736867 0.00059437007 0.005155815 0.0007533295 5.1549006 4.0 53.0 10.0 30.0 1616515.0 77824.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1189164500.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 16384.0 1024.0 4096.0 4.0 0.0 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 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14848.0 0.0 0.0 0.0 0.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0067024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9123151 0.0 0.0 0.0 0.0 0.0 6.05954 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.251338 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 45056.0 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 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 73728.0 5044.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.11649159 0.016437616 0.0146315135 0.008386963 0.028075567 0.0068341293 0.0058418103 0.003466888 0.013610131 0.0018974466 0.0028773095 0.0015237699 0.011376375 0.0018102553 0.0015030102 0.010408969 0.028573802 0.0021341085 0.0014448827 0.0009424953 0.0062611583 0.006086776 0.0012954121 0.0010753581 0.0049408344 0.0010961179 0.00072244136 0.0025783682 0.0041768737 0.0012954121 0.001191613 0.002055221 0.004700021 0.00077641685 0.00070168154 0.00082208845 0.03013909 0.0011044218 0.0008179365 0.0005895786 0.002727839 0.0005106913 0.00056881877 0.0020884369 0.0019514221 0.00093003944 0.0006975296 0.0007058335 0.0028067261 0.00069337763 0.00056051486 0.0075607225 0.0020012455 0.0012497405 0.0005978825 0.00040689224 0.0023500104 0.0027569027 0.0007182894 0.005547021 0.001631721 0.0021590202 0.000984015 0.00066846586 0.0041934815 0.0013742994 0.0016981524 0.001191613 0.010840773 0.009047125 0.003699398 0.0014656425 0.0034295204 0.0011667013 0.0007971767 0.00046086777 0.006501972 0.0037824372 0.001411667 0.0005231472 0.013564459 0.0059165456 0.004463359 0.004646045 0.005443222 0.0031804028 0.00908034 0.0050155697 0.0017562798 0.004052315 0.0005231472 0.0019389662 0.0024288977 0.003138883 0.0042640646 0.002827486 0.0012580444 0.0005106913 0.00039443639 0.00037782852 0.0014282749 0.0011667013 0.006854889 0.00042765206 0.011812331 0.0006103384 0.016242474 0.00063109817 0.0015818975 0.00029894125 0.00027402947 0.00039858834 0.0020303093 0.00046501972 0.0011459414 0.0011044218 0.012601204 0.01564044 0.0016940004 0.0010047747 0.0014365788 0.00065600994 0.00029894125 0.0004567158 0.0027818144 0.0034502803 0.0018310151 0.0015403779 0.004044011 0.0037658294 0.00047332366 0.024413535 0.0053850943 0.012518165 0.0010421424 0.00034461284 0.002403986 0.016047332 0.0012912601 0.040593732 0.0027984222 0.016711647 0.00063109817 0.0005189952 0.0016940004 0.00030724518 0.0004027403 0.00034046086 0.0017064563 0.00064770604 0.00031554908 0.00030724518 0.0010629023 0.00049408345 0.00024496575 0.0009424953 0.0012372846 0.00031554908 0.0003487648 0.00025326968 0.0007515051 0.001739672 0.00021175006 0.0007432012 0.0008013286 0.0015486818 0.00022420594 0.00022005397 0.0010089268 0.00035706873 0.00018683828 0.00026572557 0.000763961 0.0002283579 0.00027402947 0.00026987752 0.0010504463 0.00019099025 0.0002283579 0.00035706873 0.0007265933 0.00034046086 0.0011168778 0.0017272161 0.0023749222 0.00058542663 0.00038613245 0.0005231472 0.00083869626 0.0002947893 0.0012912601 0.00069337763 0.013493876 0.003973427 0.0033630892 0.0064438446 0.009225659 0.00086776004 0.0038696283 0.006207183 0.0025700643 0.0028814615 0.0011417895 0.00064770604 0.009790326 0.00043180402 0.0011500934 0.0007432012 0.0027652066 0.0018310151 0.0016441769 0.0008262404 0.0011210297 0.00043180402 0.0013493876 0.0018227112 0.0022296035 0.00051484327 0.0005189952 0.0014780984 0.00196803 0.0005106913 0.0004774756 0.00043180402 0.002271123 0.0008511522 0.00063109817 0.0004235001 0.001847623 0.0007390492 0.00046501972 0.000651858 0.026863193 0.0030599958 0.0005356031 0.0054639815 0.004255761 0.00063109817 0.0006850737 0.0007930247 0.0064313887 0.0014531866 0.00050238735 0.0008553041 0.0015902014 0.0010421424 0.0029022214 0.0021175004 0.0052605355 0.0012538924 0.00069337763 0.0010338385 0.0039028442 0.0009923188 0.0030849075 0.054270294 0.008547009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037142762 3.964677e-05 4.7993457e-05 6.2600164e-05 8.97269e-05 2.7126736e-05 9.5986914e-05 4.5906785e-05 4.173344e-06 6.260016e-06 2.086672e-06 7.094685e-05 1.8780049e-05 1.043336e-05 1.043336e-05 2.7126736e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0027147604 0.00012937367 8.764023e-05 7.929354e-05 8.97269e-05 0.00013980703 8.346688e-05 5.8426816e-05 0.00029422075 5.8426816e-05 1.4606704e-05 3.7560098e-05 0.00025040066 3.7560098e-05 0.00010016026 9.8073586e-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 0.0031195746 0.0007178152 0.00037560097 0.00018780048 0.0001940605 0.0003192608 0.0009202224 0.00011059362 0.00054670806 7.094685e-05 7.094685e-05 0.00011268029 0.0005654881 0.0001043336 0.00061765494 0.0005133213 0.13781008 0.03772077 0.0337394 0.016253088 0.028583232 0.04030616 0.028001051 0.021183895 0.07885325 0.0058802417 0.004624065 0.0065354565 0.03764565 0.010904948 0.023756761 0.03948401 0.08822241 0.027408436 0.015695946 0.01582532 0.022707164 0.031648554 0.015213925 0.026834602 0.053374983 0.0046407585 0.004918286 0.0059470152 0.02850394 0.008937216 0.025793353 0.047405016 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 862.0 5.4315543 4682.0 0.020931225 0.0006407518 0.00042716786 0.00021358393 0.12879111 0.0 0.0042716786 0.0008543357 0.015591628 0.0006407518 0.00021358393 0.0012815036 0.014523708 0.0014950875 0.0014950875 0.0006407518 0.0119607 0.00042716786 0.0008543357 0.011106364 0.010679197 0.00021358393 0.0006407518 0.00021358393 0.0119607 0.012601452 0.00042716786 0.008116189 0.006193934 0.0023494232 0.002776591 0.002776591 0.0108927805 0.002776591 0.0025630072 0.0010679197 0.044639044 0.0025630072 0.0040580947 0.0049124304 0.008756941 0.0019222555 0.0006407518 0.00042716786 0.039299443 0.0006407518 0.0010679197 0.0008543357 0.07069629 0.036950022 0.03310551 0.052541647 0.03972661 0.01516446 0.06599744 0.040794533 0.0049124304 0.006834686 0.0010679197 0.0108927805 0.008756941 0.0108927805 0.014523708 0.013455788 0.002990175 0.0014950875 0.0006407518 0.0010679197 0.003417343 0.0010679197 0.009611277 0.0006407518 0.04164887 0.0006407518 0.04997864 0.0 0.003844511 0.00042716786 0.0014950875 0.0012815036 0.003844511 0.00042716786 0.002990175 0.0008543357 0.015591628 0.013669372 0.0019222555 0.0021358393 0.0025630072 0.00021358393 0.0 0.0 0.0044852626 0.0 0.00021358393 0.0021358393 5.119228 0.0 0.0 0.0 2.0 240850.0 450560.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1392294500.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 258048.0 4096.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -258048.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.561621 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24890.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 52090.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -89532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -255184.0 0.0 15308.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4698.0 309536.0 260.0 302760.0 15308.0 405504.0 0.0 0.0 7896.0 372736.0 13652.0 421888.0 28.0 263520.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 293376.0 0.0 0.0 1224.0 262144.0 64.0 302624.0 0.0 0.0