Input: 0.04805997 0.0056663253 0.0042078258 0.0042517404 0.005521274 0.004089389 0.0040082135 0.0036116503 0.0062092706 0.0035105136 0.0034466377 0.003644919 0.00490913 0.0036116503 0.0034000615 0.004543174 0.0047175023 0.0033667928 0.0032802941 0.0033734464 0.003977606 0.0035105136 0.0032590022 0.003285617 0.0036595573 0.003418692 0.003306909 0.0033148937 0.00353979 0.003333524 0.0033428394 0.003424015 0.004242425 0.0034160304 0.0030580591 0.003333524 0.0047201635 0.0032829556 0.0032190797 0.0032031108 0.003406715 0.0031472193 0.0031432272 0.0034878908 0.003418692 0.0031631882 0.0033095707 0.0033148937 0.0035464438 0.0032523484 0.0032789635 0.0044100992 0.0033588083 0.00329094 0.0032257335 0.0033574775 0.0034639374 0.0035890278 0.003349493 0.004327593 0.0034958753 0.00320178 0.0034878908 0.003523821 0.004098704 0.0062731467 0.0040188595 0.0034586145 0.0038312238 0.005361584 0.004294324 0.0037221026 0.003634273 0.0034040536 0.0032417024 0.003413369 0.0037500483 0.005216533 0.0036489114 0.0033667928 0.00457112 0.0037926321 0.003286948 0.0037127873 0.0035224904 0.0038072704 0.0043142852 0.0040201903 0.0034838987 0.003994906 0.0033894156 0.003406715 0.0034572836 0.0037859785 0.00426904 0.0039190534 0.0033721158 0.0034838987 0.0031339119 0.0033641313 0.0037487175 0.0042783553 0.003708795 0.0033215473 0.0035783818 0.0035597512 0.0040494665 0.0031152815 0.003676857 0.003217749 0.003465268 0.0035464438 0.0035158365 0.0032829556 0.0038072704 0.0036116503 0.005320331 0.005563858 0.003676857 0.0033787696 0.003577051 0.0033681234 0.0030966508 0.0032709788 0.0036462499 0.0038538466 0.0038844538 0.00334417 0.0039190534 0.0035318055 0.0033109013 0.005679633 0.003852516 0.0044087684 0.0033641313 0.003354816 0.0037021413 0.006128095 0.003454622 0.010518233 0.0032776326 0.0060455888 0.0033415086 0.0034865602 0.003301586 0.0033268703 0.003132581 0.0035464438 0.0032004493 0.0032350486 0.0033148937 0.00325501 0.0033002554 0.0033055784 0.003297594 0.003350824 0.0033228782 0.003285617 0.0034013921 0.0034359917 0.003233718 0.003461276 0.0031498808 0.0033361856 0.0032683173 0.0032470254 0.0031245966 0.003075359 0.0031977878 0.003244364 0.0033375162 0.003249687 0.0031006432 0.003223072 0.0030873357 0.0032989245 0.0035051906 0.0033095707 0.0032323871 0.0032456948 0.0034479685 0.003169842 0.0035304748 0.0034266764 0.004174557 0.0032603329 0.0033095707 0.0033401777 0.0032669867 0.0033721158 0.0034386532 0.0035278134 0.0046842336 0.0041412883 0.0038471927 0.0042610555 0.0034838987 0.002990191 0.0041812104 0.004094712 0.0035903584 0.0038498545 0.003159196 0.0033694543 0.004318278 0.003285617 0.0035690665 0.0034586145 0.003454622 0.003454622 0.0033481624 0.0032949324 0.0035224904 0.0032723097 0.0033135628 0.0033055784 0.0036515729 0.0033468315 0.003392077 0.0034226843 0.0035464438 0.0032536793 0.0032643252 0.0034120383 0.0036715341 0.0033894156 0.0032563407 0.0032709788 0.0036222965 0.0031778265 0.0032842865 0.0033188858 0.0073404065 0.004507244 0.003223072 0.004014867 0.0042357715 0.0032310565 0.0035384593 0.003465268 0.004533859 0.003856508 0.0033561469 0.0034692604 0.0037234332 0.0033122322 0.0036861724 0.0036968184 0.003969622 0.0035411208 0.0036183042 0.0034333302 0.0049956283 0.0034958753 0.0042544017 0.015269004 0.008196721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013294325 1.0672814e-05 2.0011526e-06 1.3341017e-06 2.0011526e-06 3.3352544e-06 1.3341017e-06 1.3341017e-06 4.6693563e-06 2.0011526e-06 2.0011526e-06 6.6705087e-07 4.002305e-06 6.6705087e-07 6.6705087e-07 0.0 0.0012607261 2.0011526e-06 2.6682035e-06 6.670509e-06 3.4686647e-05 6.670509e-06 2.0011526e-05 1.2673967e-05 6.6705087e-07 2.0011526e-06 1.3341017e-06 2.6682035e-06 0.0 2.0011526e-06 1.3341017e-06 1.0005763e-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 0.0023266736 4.5359462e-05 3.5353696e-05 2.0678577e-05 6.9373295e-05 2.0011526e-05 6.003458e-06 2.2012679e-05 3.80219e-05 1.0672814e-05 1.534217e-05 4.7360612e-05 1.534217e-05 1.467512e-05 1.0005763e-05 3.5353696e-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 0.0020605202 3.602075e-05 4.9361766e-05 7.3375595e-05 8.4715466e-05 2.6682035e-05 8.271431e-05 8.138021e-05 5.4031123e-05 8.671662e-06 1.3341018e-05 6.670509e-05 1.3341018e-05 1.4008068e-05 1.0005763e-05 5.7366375e-05 0.008251419 0.00024280652 0.0002674874 6.603804e-05 0.00085916155 5.5365224e-05 0.00020411758 0.00012407146 6.9373295e-05 0.00057099556 0.00015809106 6.537099e-05 0.00016676272 0.00011940211 9.538828e-05 0.0009792307 0.0025454662 7.47097e-05 0.00011339865 3.4686647e-05 0.00026948855 3.868895e-05 0.00024414062 0.00013407723 2.0011526e-05 0.00010005763 8.871777e-05 3.1351392e-05 1.9344476e-05 4.0023053e-05 7.537675e-05 0.00026882152 0.0014848553 2.1345628e-05 5.1362917e-05 0.00010205879 0.00035086877 0.00016943093 0.0010372641 0.0005796672 9.9390585e-05 8.00461e-06 4.6693563e-06 3.068434e-05 2.6682035e-05 6.003458e-06 1.600922e-05 0.000110063396 0.00064036885 1.600922e-05 5.870048e-05 2.8016137e-05 9.4721225e-05 2.3346782e-05 0.00021812564 0.00012540557 2.5347934e-05 3.001729e-05 4.002305e-06 8.671662e-06 1.7343324e-05 2.6682035e-06 3.3352544e-06 7.004034e-05 0.0023460179 6.603804e-05 0.00016075927 0.00014074774 0.00039155886 0.0001861072 0.0007004034 0.00045025934 0.00019544591 7.070739e-05 5.936753e-05 6.737214e-05 7.3375595e-05 4.4025357e-05 0.00015275466 0.00035954043 0.0011506628 7.937905e-05 0.0001507535 0.00021078809 0.00078978826 9.138597e-05 0.00021612449 0.00012874082 0.0003748826 0.000183439 7.070739e-05 0.00021879269 0.00027349088 0.00013541133 0.00039155886 0.0009985751 0.018682761 0.0029543685 0.0025347935 0.0027362427 0.0073042074 0.006175557 0.0019718024 0.004495256 0.012760684 0.0009712261 0.0007157456 0.001821716 0.0059721065 0.0014508357 0.0053157285 0.010202543 0.010579427 0.002086535 0.001664959 0.001977139 0.004224433 0.003971621 0.001519542 0.0030717694 0.0069833556 0.00060634926 0.0007124104 0.0013234289 0.0035613847 0.0012120315 0.0033632705 0.006421032 0.05136692 0.050481744 0.049778007 0.050817937 0.05029297 0.050022814 0.05039236 0.05096469 0.05082661 0.05045573 0.049821366 0.050897986 0.050173566 0.05125819 0.051146794 0.052777734 3203.0 6.341867 20313.0 0.012898144 0.008713632 0.0077290405 0.008369025 0.009599764 0.008565943 0.007532122 0.008270565 0.009452075 0.0095013045 0.008762862 0.0076798107 0.009107468 0.0099936 0.009107468 0.0086151725 0.011175109 0.0077290405 0.009402845 0.010830503 0.009550534 0.008565943 0.009009009 0.0086151725 0.007925958 0.00886132 0.00886132 0.011765865 0.009058239 0.007925958 0.00886132 0.0086151725 0.010732044 0.011667405 0.0099936 0.011175109 0.01230739 0.010338207 0.012996603 0.009599764 0.00891055 0.010879732 0.009156697 0.008024418 0.010535126 0.00881209 0.0072859745 0.009255157 0.011322798 0.009255157 0.009353616 0.012898144 0.01112588 0.010436666 0.00886132 0.011815093 0.008172107 0.008418255 0.008565943 0.0078275 0.0095013045 0.0086151725 0.010239748 0.010288977 0.0078275 0.015310393 0.008024418 0.011322798 0.012651997 0.027962388 0.010092059 0.010092059 0.010830503 0.01885492 0.009599764 0.008270565 0.0144734895 0.010092059 0.016885739 0.015408851 0.0112735685 0.0072367447 0.019741053 0.013685817 0.023728646 0.012061242 0.012110471 0.011372028 0.0103874365 0.009648994 0.008122877 0.010239748 0.008024418 0.008516713 0.0086151725 0.008516713 6.528201 1.0 0.0 0.0 14.0 751457.0 163840.0 0.0 0.0 124.0 0.0 1.0 0.0 0.0 0.0 1303152900.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 104448.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 17920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -104448.0 0.0 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 0.0 -0.8112781 0.0 0.0 4.4521203 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.3793356 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6102386 0.0 3.7061186 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 17552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -104384.0 0.0 2672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 100.0 125356.0 2672.0 159744.0 0.0 0.0 0.0 0.0 0.0 0.0 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 110592.0 0.0 0.0 0.0 0.0


Input: 0.0071861693 0.003911072 0.0039396887 0.0041533248 0.00423424 0.0038005535 0.0041513513 0.0038563062 0.003804994 0.003784272 0.0037452944 0.003865187 0.0038464386 0.0038173287 0.0038281833 0.0047917664 0.0038424914 0.0038168353 0.0038252228 0.0038360774 0.0037650298 0.0038666674 0.003839531 0.00382769 0.00376799 0.0037832852 0.0037724306 0.0038454516 0.0038794954 0.0038518657 0.0038054874 0.0038217693 0.0038005535 0.0039179795 0.0038385442 0.0038711077 0.003866174 0.004441462 0.0038454516 0.003824236 0.0038326236 0.003748748 0.0037596026 0.003909592 0.003757629 0.0037699637 0.003822756 0.003844465 0.003742334 0.003850879 0.0038454516 0.0043783085 0.0038326236 0.00382917 0.0038020338 0.0037946329 0.0037798313 0.0037472679 0.0038592666 0.0040931315 0.00389183 0.0038133815 0.0038489054 0.0038380509 0.004033432 0.0037887122 0.003835584 0.0037877255 0.004247068 0.0038015402 0.0037911793 0.003711744 0.0040941183 0.003761576 0.003813875 0.0037467745 0.003933768 0.0038656807 0.0038059808 0.0037990734 0.003780818 0.003841998 0.0038054874 0.0038809755 0.0038479187 0.003817822 0.0037694701 0.003878015 0.0037280258 0.003809928 0.0038020338 0.0037990734 0.00382769 0.003834104 0.00389183 0.0038740681 0.0038025272 0.0037788446 0.0037699637 0.0038173287 0.0038592666 0.0038109147 0.0051573655 0.003852359 0.0038370641 0.003731973 0.0038207825 0.003824236 0.0038676541 0.0038109147 0.003807461 0.0038262096 0.0037699637 0.003803514 0.0038010469 0.0038735748 0.003852359 0.003803514 0.003834104 0.0037670033 0.0038888697 0.0037882188 0.003792166 0.0037966066 0.0037694701 0.0038064742 0.0038079543 0.0038222626 0.003950543 0.004284072 0.0037497347 0.0038365708 0.003863707 0.0040541543 0.0037951262 0.0038434782 0.0037877255 0.004023071 0.0038025272 0.004402978 0.003780818 0.0040837573 0.0038040073 0.0038686409 0.003816342 0.0037699637 0.0037216118 0.0037916726 0.0037980867 0.0038454516 0.0037961132 0.0037832852 0.0038326236 0.0038143683 0.0038262096 0.0038232494 0.0038543327 0.0037783512 0.0038247295 0.003889363 0.00382917 0.0037867387 0.0037398671 0.0037403605 0.003826703 0.0038059808 0.0037531885 0.0038375575 0.0037531885 0.003850879 0.0038045007 0.003824236 0.003857293 0.0038997242 0.0038474253 0.0037719372 0.0038686409 0.0038054874 0.0037946329 0.003848412 0.0038222626 0.0038064742 0.0040699425 0.003881469 0.0037591092 0.0037995668 0.0039411685 0.0038128882 0.003844465 0.0038982441 0.003876535 0.0038864028 0.0043462384 0.0040393523 0.0037571357 0.004233747 0.0039535034 0.0039737322 0.0038656807 0.0039549833 0.0042293062 0.0038059808 0.003833117 0.003756642 0.003866174 0.003910579 0.0037670033 0.0038775217 0.0039929743 0.0040571145 0.0038933102 0.00398508 0.0037961132 0.003911072 0.00382769 0.0038577863 0.004488827 0.0038064742 0.0038257162 0.0038617335 0.0038474253 0.0038380509 0.0038538394 0.003821276 0.003826703 0.003846932 0.0038632136 0.00379858 0.0038306501 0.0039377147 0.0038025272 0.003959424 0.003876535 0.0052511087 0.0038474253 0.00379858 0.0038316369 0.003911072 0.004003829 0.003764043 0.0038558128 0.003822756 0.003848412 0.0038607467 0.0038543327 0.004162206 0.0040378724 0.0043585734 0.0044843866 0.004212531 0.0039209398 0.0038632136 0.0040033353 0.0038528526 0.0040215906 0.006293634 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00035596642 5.924545e-06 1.061481e-05 6.4182573e-06 1.431765e-05 6.4182573e-06 1.9748484e-05 7.8993935e-06 1.1108522e-05 3.9496967e-06 1.4811362e-06 4.937121e-06 1.5058218e-05 1.1108522e-05 1.33302265e-05 1.7279923e-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 0.00020982763 4.6902646e-06 1.6539354e-05 1.6539354e-05 2.3204468e-05 7.6525375e-06 2.3451325e-05 4.937121e-06 3.0857005e-05 6.4182573e-06 3.7028406e-06 8.639961e-06 3.5300414e-05 2.4685603e-05 3.4066135e-05 5.50489e-05 0.00011602234 5.430833e-06 1.8020492e-05 2.5179315e-05 2.5179315e-05 5.430833e-06 2.9129013e-05 5.183977e-06 4.5174656e-05 9.380529e-06 1.1108522e-05 1.1602234e-05 5.1592913e-05 3.2338143e-05 3.7768976e-05 7.701908e-05 0.005169906 0.00045643683 0.0011222076 0.0014413925 0.0015416159 0.0005455518 0.0016522075 0.00035695382 0.0024784347 0.0005369119 0.0005462924 0.0008220306 0.0025564411 0.0017966182 0.0023367393 0.0054572467 0.060678203 0.06067845 0.060689557 0.060466647 0.06022201 0.060636483 0.060650554 0.060609575 0.060383208 0.06042715 0.060382962 0.0608863 0.060529348 0.060815454 0.0607414 0.060869023 9088.0 5.606954 50956.0 0.00998901 0.01081325 0.010597378 0.010283382 0.010950624 0.0108917495 0.010460005 0.010460005 0.010695502 0.010695502 0.01081325 0.00998901 0.010106759 0.0099497605 0.010224507 0.010342256 0.009753513 0.010283382 0.010499254 0.010460005 0.009969385 0.010793626 0.0106562525 0.01002826 0.01044038 0.010008635 0.010224507 0.010008635 0.011284245 0.0103030065 0.010754377 0.010224507 0.010460005 0.010518879 0.010675877 0.010263757 0.011107623 0.010499254 0.010577753 0.009832012 0.010577753 0.009733888 0.010597378 0.009969385 0.010695502 0.011460869 0.009969385 0.010342256 0.010636628 0.0104207555 0.010577753 0.010322631 0.0103030065 0.010401131 0.00998901 0.010244132 0.010460005 0.00998901 0.010558128 0.0106562525 0.009910511 0.010970249 0.010577753 0.010204882 0.010460005 0.010244132 0.009851636 0.010499254 0.0105385035 0.0105385035 0.0113627445 0.010754377 0.009655389 0.01044038 0.009753513 0.0101852575 0.010283382 0.011048748 0.010361881 0.009871261 0.010715127 0.01081325 0.010106759 0.0106562525 0.010460005 0.009400267 0.010734752 0.010460005 0.011029123 0.0103030065 0.010832875 0.010165633 0.010499254 0.010008635 0.010558128 0.010950624 6.5839834 1.0 0.0 0.0 35.0 2026810.0 14614528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 6.0 0.0 4.0 0.0 4.0 0.0 7180288.0 1024.0 4096.0 9.0 6.0 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 0.0 7180288.0 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 6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.996451 0.0 4.5016294 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7179872.0 0.0 24.0 0.0 3337.0 0.0 0.0 0.0 0.0 0.0 -4248.0 -7035951.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -349076.0 0.0 0.0 0.0 0.0 0.0 0.0 -8530.0 6495.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3151.0 14585860.0 440.0 14605240.0 6492.0 14606336.0 0.0 0.0 5016.0 7188480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 14329132.0 0.0 0.0 0.0 0.0 240.0 14581760.0 0.0 0.0 0.0 0.0


Input: 0.026654856 0.004178779 0.00406144 0.0039933077 0.0040462995 0.0040122336 0.0036564318 0.0036753572 0.0040992913 0.0037737705 0.0043945312 0.0039743823 0.0039743823 0.0036640018 0.003910035 0.0038229772 0.0041068615 0.0037775557 0.0039743823 0.0038040516 0.0038040516 0.0038002664 0.003970597 0.0037737705 0.003701853 0.0038002664 0.0038608285 0.003947886 0.0036261508 0.0038683987 0.0037775557 0.0034179688 0.0037624151 0.0038683987 0.0037624151 0.0038229772 0.004171209 0.0039743823 0.003629936 0.00360344 0.0036904977 0.003754845 0.0038267623 0.0037624151 0.003698068 0.0039743823 0.003815407 0.0037094234 0.00375863 0.003917605 0.0042885477 0.003940316 0.0039138203 0.0035769441 0.004087936 0.0035542333 0.0038608285 0.0037737705 0.0036564318 0.0038305474 0.0038721839 0.003728349 0.0036450764 0.0037397044 0.0035277375 0.0038040516 0.003966812 0.003947886 0.0039327457 0.0040652254 0.0041560684 0.00375863 0.003917605 0.0038116218 0.0036904977 0.003573159 0.0037245639 0.0036261508 0.003849473 0.0037094234 0.0036488615 0.003754845 0.00390625 0.003698068 0.0040727956 0.0037207787 0.004178779 0.0036072251 0.003815407 0.0038608285 0.003879754 0.004152283 0.0038911095 0.0038532582 0.0038078367 0.0038078367 0.0037434895 0.0040160185 0.0038721839 0.0038116218 0.0038267623 0.004084151 0.004178779 0.0037094234 0.0036526467 0.0038002664 0.0038721839 0.00390625 0.0040425146 0.0038116218 0.003879754 0.0035845144 0.0037359193 0.0037510598 0.0040652254 0.0036450764 0.004273407 0.0038835392 0.0039024649 0.003845688 0.0035580185 0.0037624151 0.0038986797 0.003815407 0.0037510598 0.0035920846 0.003667787 0.0036791423 0.0040235887 0.003910035 0.003660217 0.0039819526 0.0035239523 0.004084151 0.003815407 0.0039743823 0.0038532582 0.0040727956 0.0038986797 0.004489159 0.0040160185 0.0039327457 0.0038646136 0.0035920846 0.0037775557 0.0037926962 0.0037207787 0.0038570433 0.0037926962 0.0039024649 0.003698068 0.0037964813 0.0039138203 0.0036753572 0.0038419028 0.0036829275 0.0038229772 0.0038911095 0.0036791423 0.0039213905 0.0037245639 0.0035845144 0.0039251754 0.0037737705 0.0036564318 0.0037245639 0.0037169936 0.003542878 0.0039024649 0.0037132085 0.0035542333 0.0039933077 0.0039138203 0.0037510598 0.0036110103 0.0038040516 0.0036488615 0.0038646136 0.0038343326 0.0037624151 0.0040727956 0.004008448 0.0038986797 0.0035807292 0.003728349 0.0038040516 0.0038683987 0.004000878 0.0038305474 0.0036867126 0.0036791423 0.0035807292 0.0038116218 0.0038570433 0.003875969 0.0037169936 0.0041674236 0.0037662003 0.0038683987 0.003633721 0.003701853 0.0038835392 0.0039138203 0.003629936 0.0036829275 0.0038835392 0.0038078367 0.003940316 0.0039857375 0.0038721839 0.0036526467 0.0038646136 0.0037132085 0.0038381177 0.0038305474 0.0038305474 0.0036791423 0.0037510598 0.0037964813 0.0038229772 0.0035315226 0.0037699854 0.0037434895 0.003486101 0.0035920846 0.0036223656 0.0036867126 0.0038419028 0.00375863 0.0038948946 0.00390625 0.0036753572 0.0039857375 0.003917605 0.00375863 0.004000878 0.0038305474 0.0038570433 0.003671572 0.003815407 0.0036753572 0.003542878 0.0036791423 0.0038267623 0.0037169936 0.0036526467 0.0034482498 0.0036223656 0.003728349 0.0037775557 0.0037056382 0.0037132085 0.0036450764 0.0036223656 0.0038532582 0.0042506964 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006153864 5.129803e-05 3.2298758e-05 0.00043318336 0.00024889043 4.9398102e-05 3.9898467e-05 0.00026029 0.00022229146 3.4198685e-05 2.2799124e-05 2.8498906e-05 3.0398833e-05 4.5598248e-05 3.799854e-05 9.1196496e-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 0.0023141112 7.979693e-05 8.739664e-05 0.00014439445 0.0003172878 0.00015579401 7.599708e-05 0.000104495986 9.309642e-05 6.649744e-05 6.269759e-05 8.169686e-05 6.839737e-05 8.739664e-05 7.02973e-05 8.169686e-05 0.0021165188 6.649744e-05 0.00012919503 6.4597516e-05 0.00011399562 0.00015959387 0.00029068883 0.00017289336 0.00030018846 6.839737e-05 2.0899197e-05 4.369832e-05 8.169686e-05 3.2298758e-05 9.1196496e-05 0.00013869467 0.0038758512 0.00018809277 0.00022989117 0.00033628708 0.00022989117 0.00019569248 0.00051488023 0.00041038424 0.00045788242 0.00012349525 9.309642e-05 0.00026978963 0.00018809277 0.00020519212 0.00015959387 0.00030398832 0.0045674248 0.0005167801 0.0005585785 0.00035338642 0.00053197955 0.0005490789 0.00052437984 0.00050538057 0.0012444522 0.00021279183 0.00019569248 0.00025269028 0.00053767936 0.0002317911 0.0003514865 0.00053957925 0.0028042924 0.00025839006 0.00026598977 0.00026978963 0.00034008693 0.00044648285 0.00049018115 0.0003666859 0.0006915734 0.00018239299 0.00017859314 0.00018809277 0.00034008693 0.00026029 0.00027168955 0.00042748358 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.06175143 0.060005397 0.059669107 0.05963871 0.059414517 0.060305584 0.059929397 0.05908963 0.059807803 0.060303684 0.059541814 0.060058594 0.060081393 0.059539914 0.060060494 0.058000974 1312.0 5.97561 7840.0 0.013137755 0.010586735 0.010841837 0.011607143 0.009948979 0.009056122 0.007908164 0.010459184 0.010204081 0.0094387755 0.0094387755 0.010586735 0.009056122 0.010714286 0.012117347 0.00752551 0.008545918 0.01122449 0.0110969385 0.012372449 0.01007653 0.008928572 0.009948979 0.0076530613 0.00867347 0.008163265 0.010204081 0.009056122 0.009183673 0.010459184 0.008801021 0.008801021 0.006505102 0.009566327 0.01007653 0.010204081 0.01122449 0.011607143 0.012627551 0.00867347 0.009693878 0.009566327 0.011479592 0.010586735 0.009821429 0.007908164 0.008928572 0.009311224 0.009566327 0.009056122 0.0110969385 0.008290816 0.010586735 0.009693878 0.01007653 0.01007653 0.010459184 0.01007653 0.010204081 0.009566327 0.010586735 0.010969387 0.010331633 0.010969387 0.010586735 0.013520408 0.012117347 0.011607143 0.01377551 0.019005101 0.011352041 0.012372449 0.008801021 0.012372449 0.01007653 0.010586735 0.01747449 0.009311224 0.0125 0.012117347 0.008290816 0.009311224 0.016454082 0.011862244 0.0127551025 0.011862244 0.009948979 0.009948979 0.010331633 0.009311224 0.008035715 0.008801021 0.009821429 0.0094387755 0.009566327 0.011479592 6.562425 0.0 0.0 0.0 5.0 264192.0 716800.0 0.0 0.0 12.0 1.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 586240.0 1024.0 4096.0 10.0 4.0 0.0 0.0 10.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 512.0 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 0.0 0.0 0.0 0.0 -236544.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.805459 0.0 0.0 0.0 0.19520126 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.6732993 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.998997 0.0 0.0 0.0 0.0 0.0 0.0 -7.796578 7.1433916 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -40960.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 4096.0 0.0 4096.0 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 -589824.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 692.0 708524.0 36864.0 667648.0 0.0 0.0 0.0 0.0 8.0 708436.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 708412.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.14575201 0.014308609 0.010960557 0.008908433 0.009019685 0.005992992 0.0067765242 0.004543536 0.00858898 0.0034624832 0.005967245 0.0031760884 0.004685621 0.0029701132 0.0028483716 0.013451015 0.008947847 0.0037851143 0.0038283437 0.0032212252 0.0035479884 0.0037822535 0.0028540932 0.002459625 0.003730442 0.0023372476 0.0022326708 0.0023919202 0.0029389625 0.00223426 0.002564202 0.0023925558 0.0076941955 0.0020152524 0.0021528872 0.0022383924 0.0073900004 0.0024465926 0.0019224363 0.0018432884 0.0042120046 0.002016206 0.0030162034 0.0035832713 0.002447864 0.0023989133 0.0023731661 0.001788298 0.0038617193 0.0023817485 0.0026096564 0.0044395947 0.0026808577 0.0023076865 0.0027488805 0.0020613426 0.0027746274 0.0031388986 0.002157973 0.0040632444 0.0027120083 0.0024116277 0.0023569553 0.002749834 0.0041055204 0.0072415583 0.0026722755 0.0035184273 0.0062355213 0.006586124 0.0033273913 0.002517794 0.009741234 0.004102024 0.0020060344 0.0021315902 0.004501578 0.00417545 0.0025209726 0.0022822574 0.0044977637 0.0024380104 0.0025854988 0.0041115596 0.003662737 0.0034964946 0.0033614028 0.0031570168 0.0026544752 0.0029996745 0.0018687175 0.0022511068 0.0026792684 0.0030438574 0.0024310173 0.0035200166 0.002714869 0.005469471 0.0024586713 0.004498717 0.004101388 0.009578806 0.008256177 0.0028445574 0.003664962 0.006082947 0.0029875957 0.002475836 0.0050858106 0.003123959 0.005627767 0.008095974 0.004043219 0.001930065 0.0061716307 0.005618549 0.010444665 0.007053065 0.002424978 0.002248246 0.0025600698 0.0029376913 0.001860453 0.0027587342 0.0025413157 0.0033315236 0.002529555 0.0030511683 0.00498918 0.0031433487 0.0020231989 0.007513013 0.0031576524 0.0053401007 0.002348373 0.0017774907 0.0031156945 0.0075667324 0.002222499 0.016792074 0.0023442407 0.005973284 0.0019612156 0.0018175414 0.0021071148 0.0017514259 0.0015889979 0.001679271 0.002081368 0.0017460223 0.0019485011 0.0016226914 0.002025106 0.0018528242 0.0016366773 0.0017247255 0.0019303829 0.0016551134 0.0016293665 0.001690714 0.0021176043 0.0018299381 0.0016945284 0.0017644584 0.0018620424 0.0018362954 0.0016185591 0.0016001231 0.00193229 0.001681496 0.0016017124 0.0016522526 0.0018032376 0.0015537151 0.0016223735 0.0019214827 0.0020181132 0.0019570834 0.0018200844 0.0016563849 0.0018598173 0.0019059074 0.0033022803 0.002148755 0.002380795 0.0019097218 0.0019612156 0.0018064163 0.0019758374 0.0018722139 0.0019364223 0.0019129004 0.0058219815 0.0051458864 0.0028598148 0.0038292974 0.002965663 0.002032735 0.0027463376 0.003019382 0.0034551723 0.0029996745 0.002106161 0.0020940823 0.003597575 0.0019113111 0.0020330527 0.002015888 0.0028283463 0.002571513 0.0025155689 0.0023413799 0.0019802875 0.0017514259 0.0019500904 0.0019430974 0.0027488805 0.0022221813 0.0020533958 0.002380477 0.0021589266 0.0020867717 0.0019148076 0.0019055896 0.003238072 0.0021331795 0.002445957 0.0018331168 0.002155112 0.0019529512 0.0018591816 0.001713918 0.006612507 0.0025835917 0.0018982787 0.003797193 0.0032272646 0.0016805425 0.0017479295 0.0020069878 0.0033706208 0.0019736122 0.0021779982 0.0023649018 0.0023579088 0.0017476116 0.0027434768 0.002239028 0.003855362 0.0024322888 0.0022673178 0.002267 0.003267951 0.0022348957 0.0032755798 0.020626457 0.01851939 2.5439597e-06 2.8619545e-06 9.539849e-07 4.7699245e-07 3.1004507e-05 2.5439597e-06 7.949874e-07 0.0 0.0 1.5899748e-07 0.0 0.0 0.0 0.0 0.0009768805 0.0018396009 1.9079698e-06 3.1799495e-06 1.4309772e-06 5.0879194e-06 6.8368913e-06 1.955669e-05 8.585864e-06 1.4309772e-06 9.539849e-07 6.359899e-07 6.359899e-07 1.2719798e-06 1.4309772e-06 1.1129823e-06 6.0101047e-05 0.0014826515 1.0175839e-05 8.426866e-06 2.6393582e-05 1.446877e-05 5.723909e-06 1.1924811e-05 6.8368913e-06 7.313884e-06 5.8829064e-06 5.0879194e-06 3.8159396e-06 3.656942e-06 3.338947e-06 4.1339345e-06 2.830155e-05 0.0016880762 2.1464659e-05 2.3054634e-05 4.547328e-05 2.0510675e-05 8.585864e-06 5.103819e-05 2.4962605e-05 1.2719798e-05 3.974937e-06 2.0669672e-06 1.8443707e-05 4.4519293e-06 5.405914e-06 3.0209521e-06 2.0510675e-05 0.00302604 3.593343e-05 3.4502453e-05 3.354847e-05 0.00010525633 3.8636386e-05 9.969142e-05 5.8352074e-05 4.483729e-05 6.0419043e-06 3.6410423e-05 1.1765813e-05 1.446877e-05 1.04938335e-05 3.0050523e-05 0.0003214929 0.0050011068 0.00013944079 0.00013021893 0.00013403487 0.00048223935 0.00047715142 0.00021067166 0.00012719799 0.000109072265 2.0669671e-05 2.7029571e-05 4.2452328e-05 4.8812224e-05 2.8619546e-05 4.165734e-05 0.00046904254 0.009330608 0.00067160535 0.0004796954 0.0003286478 0.00048398832 0.00045266582 0.0010520864 0.00058129476 0.00015549953 6.661994e-05 7.234385e-05 0.00014898063 9.0628564e-05 6.677894e-05 7.329784e-05 0.00027283968 0.016021699 0.001449262 0.0015643762 0.0008232889 0.0031185765 0.0026215503 0.017996605 0.008867925 0.00033977762 7.091287e-05 0.00014611868 0.00020367577 0.00012513102 9.126455e-05 9.619347e-05 0.00019206895 0.025721816 0.0025269468 0.0031980753 0.0011169573 0.0020574273 0.001573757 0.008772844 0.005307654 0.0009199594 0.00029096537 0.0004922562 0.000315451 0.00034359354 0.00050529395 0.00038063995 0.00085604243 0.031763084 0.004731765 0.004200077 0.002078733 0.001952648 0.0019214845 0.0054493207 0.0043652756 0.0014600739 0.00060069247 0.00069624995 0.00051785476 0.0005929016 0.000817247 0.00050767895 0.0011908911 0.01515548 0.002144081 0.0014570529 0.0018200441 0.0013575205 0.0011827822 0.0025927718 0.002078256 0.00126085 0.0004787414 0.00052596367 0.0004892352 0.0005951276 0.0005587171 0.00083553174 0.001007408 0.018730221 0.0033322691 0.002008615 0.0045592524 0.0017556502 0.0016488038 0.0026247303 0.001827676 0.0020916117 0.00131634 0.0009651147 0.0011023295 0.0012236446 0.0012859716 0.0012888336 0.0017804537 0.010834883 0.0020583812 0.0017384784 0.0015626271 0.0028139374 0.00113238 0.003520363 0.0014176215 0.002584345 0.0006493457 0.00058367976 0.00088259496 0.0019059028 0.0011729244 0.0012996454 0.0019874685 0.050967753 0.009368131 0.009769123 0.0073215156 0.025206983 0.009752746 0.009356525 0.009712997 0.029011633 0.0024840175 0.001955987 0.0051766397 0.015806735 0.0063301665 0.009892823 0.018335588 0.019618858 0.005379521 0.003527518 0.0039882925 0.0068502473 0.0065786797 0.003786525 0.005731541 0.012721865 0.0011465308 0.0012753188 0.0019631418 0.0065890145 0.00327821 0.0052071675 0.010371246 0.02144383 0.02139295 0.021408373 0.021633832 0.02146291 0.021344298 0.021546384 0.021409646 0.021392157 0.021535255 0.021318858 0.02155974 0.02130773 0.021208037 0.021240154 0.02135527 18812.0 13.477461 253538.0 0.03343483 0.0018892632 0.0021180257 0.0020706956 0.007994857 0.0028555878 0.0018064353 0.0025716065 0.0028910853 0.0020233653 0.0017512168 0.002212686 0.0028516436 0.0028240343 0.0071626343 0.0021377467 0.008523378 0.0055415756 0.0048947297 0.0051077157 0.0047527393 0.0041295583 0.0038613542 0.0036720333 0.004445093 0.0049933344 0.003881075 0.004263661 0.0066025606 0.0033762197 0.006267305 0.0039796797 0.0032223966 0.01795786 0.0055691847 0.012917195 0.011252751 0.009217553 0.008661424 0.006105594 0.00706403 0.009706631 0.0019997002 0.0027372623 0.006815546 0.006890486 0.0059872684 0.0059912126 0.009525199 0.0023152349 0.009753962 0.014747296 0.016699666 0.006815546 0.0058018914 0.007225741 0.0032145083 0.0025045555 0.0021061932 0.0021377467 0.0038613542 0.0036010381 0.0032776152 0.016569508 0.0033683314 0.03831773 0.008633814 0.025365034 0.022328014 0.08182994 0.013469381 0.013366832 0.00995906 0.039749466 0.0030685735 0.006377742 0.030630518 0.015228487 0.037580166 0.042265855 0.0149326725 0.002078584 0.04204498 0.03272882 0.058760423 0.017969692 0.0064329607 0.0055336873 0.006302803 0.011012156 0.003250006 0.0018182679 0.0024966672 0.001928705 0.0019208166 0.010108938 5.8257227 3.0 22.0 0.0 41.0 3146008.0 3121152.0 1.0 0.0 75.0 1.0 1.0 1.0 0.0 0.0 1529514600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 1.0 5.0 1.0 32768.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21504.0 0.0 0.0 0.0 0.0 0.0 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 -32768.0 0.0 3034112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.9870667 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.703347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3853495 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.581308 0.0 7.242487 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 21002.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11412.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32422.0 0.0 3033724.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 56156.0 3033724.0 73728.0 0.0 0.0 42264.0 3103744.0 3448.0 3108864.0 56.0 37248.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 54536.0 0.0 0.0 312.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.08473112 0.009352104 0.0057094144 0.0048707435 0.006806138 0.0043292935 0.0024653242 0.0023846827 0.010492604 0.0021128058 0.0012487904 0.0013755127 0.0067830975 0.0029929497 0.00073268515 0.007640201 0.009317543 0.00064973964 0.0005737063 0.0006635639 0.0028109304 0.0014584581 0.00070042856 0.0005806184 0.0024653242 0.00070734066 0.00045850422 0.00087783975 0.002117414 0.0004078153 0.0004285517 0.00043085573 0.0032763467 0.00037325468 0.0003686466 0.0007442053 0.0017049905 0.0005806184 0.00044467996 0.00058753055 0.0029307406 0.00043776786 0.00052301737 0.0020390765 0.0020436847 0.00058753055 0.00041703146 0.0003847749 0.0027233767 0.00040320723 0.0006981245 0.0028408829 0.0014676743 0.0004746325 0.00030413346 0.00037095064 0.0017510714 0.0006313073 0.00032947792 0.0021105018 0.0014077693 0.00039399107 0.00026035667 0.00032947792 0.007423621 0.0007188609 0.00033178195 0.0010667711 0.0015206672 0.044290587 0.00037095064 0.00032717385 0.0029169163 0.0007027326 0.00031334962 0.00035943044 0.0015114511 0.014911755 0.002573614 0.006071149 0.012437215 0.003064375 0.0045919544 0.00051610527 0.0015206672 0.0022740888 0.0004907608 0.00053223356 0.0020252522 0.0040228562 0.0013778167 0.0009262246 0.0017188148 0.00034330215 0.000502281 0.0005483618 0.0018248007 0.0002741809 0.00022579604 0.00037786277 0.0037717156 0.0027418092 0.00034330215 0.00028339706 0.008667803 0.0013271278 0.0067877057 0.0007442053 0.002287913 0.00030874152 0.00028109303 0.0003525183 0.002069029 0.00026957283 0.00072346895 0.0006290033 0.0047924058 0.0076263766 0.0004354638 0.00040320723 0.0021657988 0.0002626607 0.00037325468 0.00034791025 0.0017625915 0.002626607 0.00070734066 0.00061748305 0.0041150176 0.0016266531 0.00024192434 0.020734068 0.0031680567 0.04043362 0.0002626607 0.000278789 0.0046679876 0.032705866 0.001732639 0.055561956 0.0020275563 0.027134694 0.00048154462 0.00044928805 0.0017695037 0.0003179577 0.00033869408 0.0002949173 0.0023962029 0.0004907608 0.0003225658 0.00034099811 0.0017119027 0.00029722133 0.0002465324 0.00025344454 0.0018593613 0.00030413346 0.00036634257 0.00038938297 0.002184231 0.0026173908 0.00024192434 0.0011888853 0.0019676513 0.0041034976 0.00030413346 0.0003640385 0.0019745633 0.0003110456 0.0003847749 0.0003801668 0.0019699554 0.00024422837 0.00030182942 0.00035943044 0.0024146354 0.00020736372 0.0001958435 0.0003064375 0.002066725 0.004078153 0.0036703378 0.00042624763 0.0028685315 0.0006082669 0.00025574857 0.00028800516 0.002228008 0.0016151329 0.00075572554 0.00030413346 0.0125201605 0.0015782682 0.001449242 0.001340952 0.0062278234 0.0010276025 0.010840515 0.0031934013 0.0035205751 0.002621999 0.00019353947 0.000278789 0.003566656 0.0004515921 0.00025344454 0.0003225658 0.0028086263 0.0005644901 0.00032486982 0.00056218606 0.002900788 0.00026957283 0.0006474356 0.0004746325 0.0031358001 0.00040551127 0.00031565365 0.00034560618 0.0026865122 0.00038938297 0.00020275563 0.0004631123 0.003684162 0.00033869408 0.00035482235 0.0011635409 0.0035597438 0.0007027326 0.00071655685 0.00077185384 0.032922447 0.001840929 0.0003179577 0.0049398644 0.00848348 0.0007349892 0.00033869408 0.00064282754 0.004854615 0.00087783975 0.0006451316 0.0007211649 0.0056679416 0.0017648956 0.0018547532 0.0023178656 0.0061264457 0.0028662274 0.0049951617 0.004955993 0.022125708 0.009667757 0.015006221 0.14831345 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0004373704 5.322497e-05 6.942388e-05 1.8513034e-05 2.8926614e-05 5.322497e-05 6.479562e-05 2.8926614e-05 0.00057737523 2.3141292e-05 2.8926614e-05 4.512552e-05 3.239781e-05 2.8926614e-05 2.0827163e-05 0.0008585419 0.0032860634 0.00045009813 0.00040034435 0.00021405694 0.00068035396 0.00055307685 0.0005160508 0.00034480524 0.003923606 0.00019554391 0.00027306724 0.00048249593 0.0005299356 0.00023025586 0.00061555835 0.0062620332 0.060830355 0.010246964 0.008311194 0.0067815552 0.027961623 0.014530417 0.011983718 0.0092426315 0.08923051 0.004998519 0.008115651 0.010147456 0.02007507 0.0063245147 0.024779694 0.122459084 0.088424034 0.013755184 0.008598147 0.009403463 0.056316648 0.021520244 0.017824579 0.016120223 0.101266295 0.006418237 0.010383498 0.011555604 0.028363124 0.009770254 0.03579032 0.10240484 0.0005820035 0.00012496297 5.6696164e-05 0.00010066462 0.0005461345 0.00024414062 0.00020942869 0.00014116187 0.0008284582 7.8680394e-05 0.000119177654 0.00010876407 0.00037373186 0.00014810427 0.00029158028 0.00078564684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 115.0 5.6869564 654.0 0.024464833 0.003058104 0.001529052 0.0 0.0091743115 0.0 0.0 0.0091743115 0.013761468 0.0045871558 0.001529052 0.00764526 0.00764526 0.001529052 0.01529052 0.001529052 0.033639144 0.001529052 0.0 0.001529052 0.00764526 0.0045871558 0.001529052 0.0 0.019877676 0.001529052 0.0045871558 0.0045871558 0.010703363 0.0 0.0045871558 0.001529052 0.019877676 0.003058104 0.003058104 0.003058104 0.010703363 0.013761468 0.0 0.0 0.012232416 0.00764526 0.0 0.00764526 0.006116208 0.0 0.0 0.15749235 0.050458714 0.019877676 0.006116208 0.006116208 0.003058104 0.003058104 0.012232416 0.001529052 0.006116208 0.003058104 0.001529052 0.00764526 0.0091743115 0.0 0.001529052 0.001529052 0.010703363 0.012232416 0.0045871558 0.013761468 0.010703363 0.006116208 0.001529052 0.003058104 0.16819572 0.003058104 0.006116208 0.012232416 0.0091743115 0.010703363 0.0091743115 0.006116208 0.012232416 0.003058104 0.012232416 0.006116208 0.056574922 0.0045871558 0.0 0.0 0.02293578 0.0 0.0 0.0 0.013761468 0.001529052 0.003058104 0.0 5.0488853 0.0 0.0 0.0 1.0 434020.0 1552384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1424962200.0 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 -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 963584.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -73216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 215040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -963584.0 0.0 251904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0132613 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73090.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 214986.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36064.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -963183.0 0.0 251720.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 420.0 1174676.0 251720.0 1224704.0 0.0 0.0 0.0 0.0 51776.0 1478656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1091880.0 0.0 0.0 2008.0 970752.0 64.0 1174540.0 0.0 0.0


Input: 0.087961785 0.011751088 0.01588195 0.005854005 0.0064430577 0.0049849413 0.0038236924 0.0047620563 0.006295092 0.0031803232 0.008498656 0.0029499463 0.0045429175 0.0025931434 0.002636222 0.0042760177 0.003817137 0.003151292 0.0023449734 0.001913251 0.008412498 0.003101658 0.0020986763 0.0021857698 0.0037703125 0.0039950702 0.0032777183 0.0024526697 0.0038733266 0.0025669218 0.002950883 0.0037768679 0.0067914324 0.0019226159 0.0043462543 0.0034041444 0.004843531 0.0019188699 0.0020902478 0.0026970939 0.0222632 0.0020537246 0.0023112595 0.003302067 0.0018289668 0.0018036815 0.004503585 0.002306577 0.0022269755 0.0069562546 0.002840377 0.0039950702 0.002525716 0.0025566202 0.0023431003 0.0020462326 0.0035942523 0.0046918197 0.0024976213 0.002752347 0.0042591607 0.0039725946 0.0026390315 0.005219064 0.002978041 0.0029096773 0.0042778905 0.0027205062 0.0026212381 0.00898844 0.00424605 0.0030304845 0.0027560927 0.0030698173 0.0026661896 0.0017474921 0.0020471693 0.0025116687 0.0024161467 0.0029630573 0.0038480412 0.0067052753 0.002483574 0.0030051994 0.0027617118 0.0032308938 0.0038471047 0.00357084 0.0023833695 0.0028207107 0.0024404954 0.0024423683 0.0021370724 0.0025322714 0.0030323577 0.0029958345 0.001749365 0.0023740046 0.0018476966 0.0034331759 0.0023861788 0.0036363944 0.002934026 0.0028975029 0.0028141553 0.003294575 0.0034968571 0.002268181 0.0023571476 0.0022213564 0.0030782458 0.0031522284 0.0022391498 0.0028300756 0.0029593112 0.003649505 0.004652487 0.0053005386 0.002496685 0.0028366311 0.0030679442 0.0025463188 0.002934026 0.0021080412 0.0025500648 0.0033507645 0.0026100003 0.005293983 0.007931142 0.0024788915 0.0020921207 0.005104812 0.002172659 0.0034743813 0.0023599572 0.0021857698 0.00236183 0.0044286656 0.017351303 0.0075471806 0.0026090636 0.0032018626 0.0027589023 0.0030651349 0.003258052 0.0025978258 0.002224166 0.002227912 0.0018420777 0.0023758775 0.0028600432 0.0021913887 0.0017755869 0.0020668355 0.0025172876 0.0017062864 0.0043041124 0.0017250163 0.0028029173 0.004144909 0.006867288 0.0020612166 0.016107645 0.0025032402 0.002279419 0.0026446504 0.0021052316 0.0030417226 0.002523843 0.0023374814 0.0021492466 0.0019713135 0.0018448872 0.0023637032 0.0023814964 0.0032299573 0.0016632079 0.0021735954 0.0018842197 0.0034097636 0.0024067818 0.0037984073 0.0026156192 0.0031662758 0.0028047904 0.002470463 0.0023150055 0.0019263618 0.0022738 0.0021389453 0.001968504 0.0029218518 0.0038901833 0.0047105495 0.0023777506 0.003758138 0.0037506463 0.002479828 0.0032936386 0.004417428 0.002777632 0.0028094728 0.0020799465 0.002027503 0.0019750593 0.0019656944 0.0022035632 0.0042797634 0.0018373952 0.0021351993 0.0029799142 0.003202799 0.0025013674 0.0022091821 0.0028047904 0.0034565881 0.0025200972 0.002527589 0.002960248 0.003011755 0.0022344673 0.002075264 0.0019619486 0.0023534016 0.0029658668 0.0028553607 0.0027635847 0.0035923792 0.0026980303 0.002218547 0.0021885794 0.0045195054 0.004011927 0.0034172554 0.0023777506 0.003721615 0.0022897203 0.0025247796 0.0019085685 0.002170786 0.003754392 0.0034612706 0.0024517332 0.0039857053 0.0032711627 0.0032608614 0.002996771 0.0029190423 0.004249796 0.00410464 0.0036841554 0.0022260388 0.0054653613 0.0028338216 0.005871798 0.05039539 0.0068092016 1.4071505e-06 3.7524014e-06 9.3810036e-07 3.2833514e-06 1.8762007e-06 1.4071505e-06 2.345251e-06 2.345251e-06 2.345251e-06 2.814301e-06 4.221452e-06 5.628602e-06 9.3810036e-07 6.5667027e-06 0.008520766 0.00015197226 9.850054e-06 1.1726255e-05 6.5667027e-06 7.973853e-06 7.504803e-06 7.035753e-06 7.035753e-06 5.628602e-06 3.7524014e-06 4.221452e-06 6.0976527e-06 2.0638208e-05 2.0638208e-05 2.0169158e-05 0.007394107 0.0028710563 0.00026688955 8.911954e-06 1.36024555e-05 2.1576308e-05 5.159552e-06 1.3133405e-05 1.7354858e-05 1.1726255e-05 1.3133405e-05 9.381004e-06 1.9700108e-05 3.6116864e-05 4.080737e-05 2.7204911e-05 0.005269779 0.0041271728 0.0021792073 1.9700108e-05 1.9231058e-05 1.8292958e-05 1.6416756e-05 1.9700108e-05 1.8292958e-05 1.4071506e-05 2.626681e-05 3.8462116e-05 6.754323e-05 8.020758e-05 7.1764676e-05 7.457898e-05 0.007618313 0.0009854744 1.5009606e-05 3.0019211e-05 1.4540556e-05 1.2664355e-05 1.8292958e-05 6.707418e-05 3.1426363e-05 1.5009606e-05 1.6416756e-05 1.5947706e-05 1.36024555e-05 2.485966e-05 1.6885808e-05 2.0638208e-05 0.0015839825 0.0033058657 0.00019090343 0.00039540933 9.615529e-05 0.00011351015 3.189541e-05 6.519798e-05 5.253362e-05 2.1576308e-05 1.6416756e-05 9.850054e-06 1.1726255e-05 1.4540556e-05 8.911954e-06 1.3133405e-05 0.00045544773 0.004056346 0.00017542478 0.0003522567 8.8650486e-05 9.803149e-05 4.268357e-05 6.566702e-05 0.00010506724 5.6755074e-05 0.00029315636 2.7204911e-05 0.00034615904 0.00016416756 4.5028817e-05 3.5647816e-05 0.00077205664 0.0073706545 0.000116324445 0.001017839 0.0002392156 0.00032692798 0.00016088421 0.0013883886 0.000672618 8.958859e-05 0.00029268733 7.692423e-05 0.00033443279 0.00019934634 3.095731e-05 4.174547e-05 0.00012945785 0.007501051 0.00045028818 0.0020624136 0.0010952322 0.00033208754 0.00014962701 0.0009587386 0.0004971932 0.00014681272 0.0005520721 7.973853e-06 0.00067167985 0.0004615454 5.159552e-06 3.1426363e-05 0.0004465358 0.006011816 0.00023687034 0.0018532173 0.0010727178 0.0008564856 0.00039353312 0.0017458048 0.0011416682 0.00018480577 0.00039775457 0.000112572045 0.00047983835 0.00039963075 0.00018011527 7.880043e-05 0.0011848208 0.00783689 0.0003447519 0.0020398994 0.0019854894 0.00059850805 0.00021670118 0.00037054965 0.00025375615 0.0013034905 0.00047983835 0.0012434521 0.0008016068 0.0006594846 0.00020872733 0.00019231057 0.00067683944 0.012505347 0.0007842519 0.0031604602 0.0017992766 0.00093200273 0.0005459744 0.0012382925 0.0006613608 0.0020403683 0.00060976524 0.0020159776 0.0009165241 0.0011895113 0.00062665105 0.00044981914 0.0012640903 0.010244525 0.0012443902 0.0033574612 0.0015145631 0.0010412914 0.0008091116 0.00076220656 0.00067496323 0.0031051124 0.0005370625 0.0025187996 0.0006275892 0.00067824655 0.00061820814 0.0006008533 0.0014446746 0.01897777 0.003691425 0.007636606 0.003364028 0.004259445 0.003914693 0.002204536 0.0030117712 0.010387116 0.0014132482 0.005587326 0.0015126868 0.0030704027 0.0020863353 0.0022570696 0.0044353385 0.02523537 0.0064972835 0.008519359 0.0051712785 0.009312523 0.009296575 0.004436746 0.006638936 0.016611412 0.0039057808 0.005597176 0.0027120481 0.007898806 0.0036023054 0.005324658 0.010843972 0.057782292 0.03754231 0.037865017 0.038700394 0.034053043 0.03467078 0.03060271 0.0376788 0.037205998 0.032118212 0.039194774 0.031459667 0.03395267 0.03326035 0.037106093 0.05295483 4983.0 13.4222355 66883.0 0.06448574 0.0026763154 0.03386511 0.004575154 0.0072365175 0.006189914 0.011273418 0.0117668165 0.015983135 0.0072664204 0.0077299164 0.0108697275 0.002108159 0.0021829165 0.04439095 0.0075953533 0.0069524394 0.072185755 0.011572448 0.016013037 0.011288369 0.0073112748 0.011946235 0.0070570996 0.016476534 0.023668196 0.0072365175 0.0024968975 0.027017329 0.020020034 0.001704469 0.0023025284 0.001704469 0.0077000135 0.0023025284 0.009419434 0.013456334 0.014727211 0.018210907 0.008896132 0.008597102 0.0135609945 0.0074607898 0.0017493234 0.006907585 0.0029603934 0.0027062183 0.0023623342 0.0045452504 0.0027510729 0.0037229192 0.011168757 0.013172256 0.008701763 0.013874976 0.009284871 0.0072066146 0.008238267 0.0070870025 0.0023772856 0.0018838868 0.0026912668 0.0029005876 0.0027660243 0.0016297116 0.007909334 0.0025567035 0.019407025 0.010107202 0.02782471 0.0084475875 0.014174005 0.013471286 0.018121196 0.009404482 0.0024520431 0.010436134 0.0036182588 0.017239058 0.015908377 0.0036033073 0.0020932076 0.007879431 0.016371874 0.015788766 0.010137105 0.0077598193 0.008881181 0.008492442 0.008298073 0.007430887 0.0018689353 0.0016596145 0.0023025284 0.0019287412 0.0022576738 6.0224442 1.0 1.0 0.0 8.0 1067816.0 241664.0 0.0 0.0 235.0 0.0 1.0 0.0 0.0 0.0 967571460.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 4.0 0.0 4.0 0.0 135680.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -19456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -135680.0 -6656.0 51712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.826257 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6175957 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.729613 -5.524766 4.391237 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -30940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -135542.0 -6168.0 51664.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 -2.0 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 1.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 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 -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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 200.0 180224.0 51664.0 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 0.0 976.0 181400.0 0.0 0.0 0.0 0.0


Input: 0.0073616435 0.0059467857 0.005418345 0.0058956463 0.0062804096 0.0049045156 0.005488966 0.0043298057 0.0064606154 0.004356593 0.0050530634 0.0047267447 0.0061951773 0.004324935 0.0047437917 0.0042056097 0.0063583367 0.0039937464 0.0045367987 0.003942607 0.0054061688 0.0038792915 0.0042494438 0.0039060789 0.0054938365 0.0037794479 0.003996182 0.0037745773 0.0049946182 0.0036528169 0.0038841618 0.0037063914 0.0055401055 0.0040765437 0.003886597 0.0036333352 0.0045952434 0.0037161324 0.0036942153 0.0033727675 0.004636642 0.0035895014 0.0034993985 0.0042007393 0.004510011 0.0033849436 0.003562714 0.0034214717 0.004977572 0.0030951535 0.003852504 0.0032534422 0.004541669 0.0032461365 0.0036065478 0.0034312126 0.004763273 0.0034190365 0.0035359266 0.0042811013 0.0045489743 0.0033995549 0.0034166013 0.0035091394 0.0056277732 0.0043054535 0.004395556 0.0040448857 0.0041788225 0.0037161324 0.0041666464 0.003701521 0.0050579337 0.0035310562 0.0037380492 0.0036601224 0.00409359 0.003745355 0.0038135408 0.0032777942 0.005423215 0.004015663 0.0043298057 0.0041544703 0.0040765437 0.0038792915 0.0046293363 0.0043200646 0.0044126026 0.003216914 0.0036235943 0.003182821 0.003930431 0.003331369 0.0036698633 0.004183693 0.004475918 0.003608983 0.0033338042 0.0028979012 0.003645511 0.003102459 0.0034969633 0.0027980576 0.004797366 0.0034068604 0.0039328663 0.0030902831 0.0039060789 0.0030391435 0.0034092956 0.0034677407 0.0044807885 0.0026543802 0.003516445 0.0030537548 0.0053866873 0.00455628 0.003470176 0.00322909 0.004061932 0.0029246886 0.0029393 0.0028102337 0.004071673 0.0032729239 0.0036771689 0.0045952434 0.005211352 0.0044588717 0.003935301 0.004142294 0.0041909986 0.0039742645 0.004001052 0.003136552 0.0041496 0.0043322407 0.0037307437 0.004690217 0.0037429195 0.004390686 0.0033581562 0.0028102337 0.0043760748 0.0032412661 0.0033167577 0.0029539112 0.0034190365 0.0029928745 0.0032023028 0.003031838 0.003194997 0.0030294028 0.0031292464 0.0028053634 0.003309452 0.0027055196 0.0031803858 0.0029125125 0.004057062 0.0034872224 0.003065931 0.0029563464 0.0037112618 0.003238831 0.0031292464 0.0028029282 0.003309452 0.0029636521 0.0027980576 0.002914948 0.003516445 0.0030342732 0.003078107 0.0028881605 0.004117942 0.002985569 0.0028467618 0.002698214 0.0035821956 0.0028370211 0.00322909 0.0030854126 0.004117942 0.0028175393 0.003031838 0.002975828 0.0033946845 0.0026348985 0.003182821 0.004315194 0.005050628 0.0043882504 0.0042518787 0.0041496 0.003689345 0.0032534422 0.0037063914 0.0033703323 0.0040302747 0.0032023028 0.0032315252 0.0028516324 0.0030975887 0.0028759844 0.0030123563 0.0028540676 0.004344417 0.0033167577 0.0036357704 0.0032144787 0.0034263423 0.003044014 0.0031901267 0.0028857253 0.0039986167 0.0029319944 0.003343545 0.003136552 0.0034896578 0.0031048942 0.0030367083 0.0037136972 0.004916691 0.003608983 0.003192562 0.0030026154 0.0034969633 0.0025107027 0.0026081111 0.002642204 0.0040448857 0.0033484155 0.0029198183 0.0048582465 0.0034945281 0.0029539112 0.0031146351 0.0030342732 0.0047267447 0.0033630268 0.0028662435 0.0025545366 0.0033362394 0.003009921 0.0034166013 0.0031073296 0.00490208 0.0025740182 0.0034653055 0.002914948 0.0039012083 0.0034092956 0.0042275265 0.041797966 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0011218261 0.00012084961 0.00010864258 7.446289e-05 7.324219e-05 8.4228515e-05 8.544922e-05 0.00010253906 0.00010864258 3.7841797e-05 5.9814454e-05 7.93457e-05 0.00010375977 9.033203e-05 9.1552734e-05 0.0001574707 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00036621094 0.00022827148 0.00024169922 0.0011767579 0.00026123048 0.00018798828 0.0002783203 0.0002331543 0.00020141601 0.0001599121 0.00020385742 0.00022460938 0.00026245118 0.00022949219 0.00020263671 0.0005419922 0.083406985 0.069276124 0.06302368 0.059699707 0.06480591 0.06418579 0.05605469 0.058416747 0.064034425 0.0506604 0.050742187 0.051605225 0.056696776 0.05350708 0.053515624 0.092868656 2169.0 5.8289533 12643.0 0.017796408 0.01012418 0.010994226 0.010203275 0.01320889 0.008621371 0.010203275 0.009254132 0.01320889 0.0077513247 0.009333228 0.010677845 0.0130507 0.0094914185 0.009254132 0.0088586565 0.015502649 0.0094914185 0.011547892 0.008621371 0.012576129 0.008304991 0.009016847 0.008384086 0.012813414 0.010915131 0.009965989 0.012813414 0.013762556 0.009886894 0.009016847 0.009095943 0.016689077 0.011626988 0.012259749 0.010915131 0.013525271 0.009649608 0.0111524165 0.008542276 0.014553508 0.007909515 0.009886894 0.009886894 0.010836036 0.009333228 0.009649608 0.008067706 0.0151071735 0.010836036 0.012971605 0.012734319 0.010282369 0.011310606 0.012576129 0.011864273 0.011547892 0.008779562 0.009254132 0.008146801 0.010045084 0.006881278 0.010519655 0.008700467 0.011547892 0.009649608 0.008384086 0.009412323 0.011626988 0.0088586565 0.009175038 0.0075140395 0.014158032 0.009965989 0.010836036 0.007197659 0.0111524165 0.008463182 0.008225895 0.008779562 0.012417939 0.0069603734 0.010519655 0.0088586565 0.019457407 0.011943368 0.008621371 0.00798861 0.012022463 0.006406707 0.00798861 0.006406707 0.009649608 0.0075931344 0.009886894 0.008542276 6.549051 0.0 0.0 0.0 6.0 410642.0 1744896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1356660100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 1257472.0 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 -1254400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.881416 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1257472.0 0.0 0.0 0.0 0.0 0.0 471040.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 820.0 1740480.0 7872.0 1732608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0