Input: 0.26352292 0.028491022 0.022332905 0.012547196 0.017764734 0.009939683 0.012407448 0.008676092 0.013817481 0.0050409706 0.010004117 0.0045455764 0.004813357 0.003690352 0.002417557 0.0051932707 0.041816458 0.0045020618 0.0072861435 0.0057355263 0.0032552083 0.0038041587 0.002133877 0.0018778117 0.003960643 0.0027539565 0.0012276068 0.00347278 0.0025522842 0.0017414109 0.0013280245 0.0012711212 0.00611293 0.0017815781 0.0014317896 0.0020359696 0.0023539593 0.0011305363 0.0013322086 0.0008836761 0.006688658 0.0013271878 0.0033305218 0.003297049 0.0036644107 0.001917142 0.0017941302 0.000879492 0.006090336 0.0047012237 0.0033029069 0.0040895124 0.0041029016 0.0030116953 0.0030050008 0.0033037437 0.0046978765 0.003697883 0.0028167176 0.0037263348 0.004709592 0.0031271756 0.0036744524 0.0029614863 0.0033999772 0.0016753026 0.0017573104 0.0021514501 0.002318813 0.0028794787 0.0012652635 0.001732206 0.0023598168 0.0014953875 0.0007539698 0.00080250506 0.002349775 0.0018091929 0.001213381 0.0011372309 0.0029983062 0.0008585717 0.0017891093 0.0022342948 0.002124672 0.0015640063 0.001745595 0.0010025038 0.0022719514 0.00088618655 0.0007439281 0.0010468549 0.0020669317 0.0011129633 0.0048141936 0.004004157 0.00275563 0.005394943 0.001488693 0.0031807318 0.0043095946 0.008515424 0.0012778157 0.0020317857 0.0035522776 0.0042593856 0.00095480535 0.001258569 0.004080307 0.0021773912 0.004185746 0.008675256 0.0043648244 0.001032629 0.00524599 0.004501225 0.0070476513 0.0024301093 0.000866103 0.00057572837 0.0025447528 0.001579069 0.0009640103 0.0030050008 0.0017765572 0.0023765531 0.0014058483 0.000820915 0.009773157 0.0045539443 0.0018836694 0.0020719527 0.0025639995 0.0020485218 0.0016953861 0.0009029228 0.0022200688 0.0037280086 0.0009146382 0.007329658 0.0022133742 0.0018460128 0.0006251004 0.00091631187 0.0048577082 0.0012836735 0.0015439227 0.0013773966 0.0018895271 0.0010234241 0.0011045951 0.00069037196 0.0018669331 0.00083011994 0.00059246464 0.00071798684 0.0016142151 0.0005204986 0.00041087592 0.0004794947 0.0022585623 0.001028445 0.0010225873 0.0010142191 0.0016962229 0.0009004124 0.00066694117 0.00080585235 0.001894548 0.000613385 0.000609201 0.00077572704 0.0017439214 0.0005656866 0.0005606657 0.0004560639 0.002097894 0.00066024665 0.00069204555 0.0011330468 0.0033263376 0.0006050169 0.0006351422 0.00046694247 0.0036911888 0.0032409825 0.00080585235 0.00059832237 0.0016568927 0.00065020483 0.0005196618 0.0005707075 0.0030744565 0.00063848944 0.0022033325 0.0013146355 0.0015230024 0.00056401297 0.0007891161 0.001051039 0.0020610741 0.00072551816 0.0005824229 0.0007096187 0.004457711 0.00051213044 0.00085104036 0.00087614474 0.0023556328 0.00064936804 0.00075899076 0.00092049595 0.0018342973 0.0006200795 0.0006050169 0.00063848944 0.002083668 0.00073639676 0.0004912101 0.00058074924 0.0021263456 0.0006895351 0.0009891147 0.00045941115 0.002174044 0.0010928797 0.0005146409 0.00068451423 0.0017372268 0.00044685893 0.000609201 0.00036317747 0.009788219 0.0024393143 0.00047698425 0.0009991565 0.002047685 0.0019991498 0.00050710957 0.0006200795 0.0023757163 0.0008619189 0.00077907427 0.0006753093 0.0022225792 0.0010727962 0.0012443431 0.00097488886 0.0030384734 0.0028434957 0.0026694383 0.0011707034 0.0026552123 0.0014393209 0.003310438 0.029736202 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00082413165 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.1876606e-06 6.7002575e-06 6.7002575e-06 6.7002575e-06 7.1190234e-06 2.0938303e-06 0.0 0.005472435 3.0569925e-05 1.926324e-05 1.2144216e-05 3.7688947e-05 9.212854e-06 1.1306684e-05 2.6382264e-05 9.5897434e-05 2.8057328e-05 2.3032135e-05 2.4707198e-05 2.4288433e-05 2.7638562e-05 1.591311e-05 0.00014489307 0.004550731 7.0352704e-05 3.727018e-05 2.9732391e-05 2.5125964e-05 3.3920052e-05 2.9313625e-05 4.271414e-05 5.150823e-05 2.6382264e-05 2.4707198e-05 1.7588176e-05 1.172545e-05 1.716941e-05 2.0519537e-05 0.00015703728 0.00788704 0.00048534988 0.00012981749 7.5377895e-05 6.0721082e-05 3.4757584e-05 5.8208487e-05 4.480797e-05 0.00021901466 2.889486e-05 2.4288433e-05 4.1457843e-05 4.56455e-05 3.1407457e-05 5.778972e-05 0.00020938304 0.008148351 0.00061056094 0.00021063934 8.919717e-05 8.0821854e-05 5.5695888e-05 5.3183292e-05 6.90964e-05 0.0003245437 7.495913e-05 9.170977e-05 9.170977e-05 5.5695888e-05 3.3920052e-05 9.966633e-05 0.00020184525 0.059215616 0.0052831527 0.0010343522 0.0017860373 0.00070562086 0.0007236278 0.0015326838 0.00082120026 0.0017726368 0.0009807502 0.0005284828 0.0018781659 0.0004656679 0.0005795723 0.00046483034 0.0037027297 0.03824842 0.003977859 0.0019409808 0.0010146702 0.0049163136 0.0034104309 0.023056842 0.010219148 0.0010360273 0.00033291904 0.00065369386 0.0006595566 0.00033668792 0.0002985802 0.00027806067 0.0022441675 0.06960143 0.010560443 0.0048995633 0.0029497882 0.0033304465 0.0024359622 0.008332607 0.005713226 0.0025444226 0.0008161751 0.0013815094 0.0014472556 0.0009861941 0.001335445 0.0011704512 0.003421319 0.07777533 0.012766922 0.011024436 0.0045817196 0.0033111833 0.003039823 0.008930187 0.007842652 0.0043497235 0.0014258985 0.0016432381 0.0017642615 0.0016222998 0.002035622 0.0017969252 0.0027450116 0.062198907 0.022036728 0.0051148087 0.0035511365 0.0022571492 0.0028040577 0.003754238 0.003415875 0.009204897 0.002839234 0.0022177852 0.0026570708 0.002137801 0.0017282476 0.0023840354 0.008061666 0.04586996 0.012707457 0.006322949 0.037631575 0.0044050002 0.005878638 0.005639104 0.0050545065 0.0072191083 0.0056545986 0.0037211555 0.0046730107 0.0043329727 0.004014292 0.005601415 0.00937031 0.018831491 0.007838463 0.0026013749 0.003105988 0.002415024 0.0042261872 0.0024631822 0.002091318 0.0028773418 0.002476164 0.0017764057 0.00182247 0.002013846 0.0015460844 0.004115214 0.008410079 0.013184013 0.0062982417 0.0019292553 0.0026168693 0.0024476878 0.0034879027 0.0016302563 0.0019321867 0.006033163 0.0019430746 0.0015477594 0.003160009 0.0038815427 0.0020942492 0.005848487 0.008860672 0.011761883 0.005286503 0.003496278 0.0026327823 0.0042952835 0.0044967104 0.0021059746 0.0028028013 0.008940237 0.0030481983 0.0022094098 0.002574574 0.00562026 0.0024799327 0.0044150506 0.008448187 0.0015238897 0.00082161906 0.0012198656 0.0008048684 0.0008237129 0.0006419684 0.00053350796 0.0004790684 0.0006474124 0.0011285746 0.0007646669 0.0005393707 0.00039824654 0.00031156198 0.0002407905 0.0011277371 5052.0 19.57898 98913.0 0.015892753 0.0005863739 0.0009098905 0.00031340672 0.0051257163 0.0007481322 0.00040439577 0.0008997806 0.006814069 0.0009806597 0.0003740661 0.0012839566 0.0070162667 0.00065714313 0.009826818 0.0001718682 0.022595614 0.015124402 0.014457149 0.013810116 0.017207041 0.013122643 0.01249583 0.012617148 0.018298909 0.014275171 0.010827697 0.010301983 0.020159129 0.01149495 0.016560007 0.010241323 0.0065512117 0.004448354 0.003053188 0.009766158 0.0098470375 0.0050347275 0.003366595 0.008350773 0.0070465966 0.007117366 0.0003740661 0.0009503301 0.0091494545 0.0056918706 0.004225936 0.0030228584 0.010716489 0.00047516506 0.002689232 0.007814948 0.00958418 0.0022747263 0.0029419793 0.00085934106 0.007572311 0.00077846186 0.00033362652 0.0005054947 0.005247035 0.0007986817 0.00044483537 0.025557814 0.0071679153 0.03930727 0.007976707 0.017884403 0.030420672 0.07468179 0.006237805 0.014760446 0.016721766 0.03444441 0.0013142863 0.004994288 0.026417155 0.01242506 0.032452762 0.03639562 0.020897152 0.0008694509 0.03751782 0.028206605 0.054280024 0.012748577 0.0034778037 0.0011323082 0.008512531 0.0084720915 0.0011929675 0.00059648376 0.004984178 0.0009402202 0.00022241769 0.00016175832 5.7742386 0.0 0.0 0.0 6.0 1195008.0 1208320.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 2314818600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 0.0 5.0 0.0 0.0 1024.0 0.0 4.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -78848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -355328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -685056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1417046 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7426534 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.526685 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4388633 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -78708.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74324.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -355228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -684710.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1218.0 438272.0 0.0 0.0 0.0 0.0 78708.0 1126400.0 56.0 1122492.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 439504.0


Input: 0.05642554 0.008275224 0.0061566755 0.0056422446 0.0057546156 0.004962866 0.0042010136 0.0054216273 0.005051526 0.0056185336 0.0037443144 0.0044577136 0.0049453406 0.0031762756 0.0043278174 0.004637094 0.0050329687 0.003763902 0.00492266 0.004157715 0.0043556523 0.0031865847 0.0041082306 0.003844314 0.005075237 0.003344316 0.0031659664 0.0029391632 0.004153591 0.0034432847 0.0037876132 0.0037948298 0.0061597684 0.00381751 0.0034896764 0.00302473 0.0048803925 0.0041669933 0.0038391594 0.0037257578 0.0047278157 0.0038968911 0.0033267904 0.003105142 0.0043628686 0.0037185415 0.0037175105 0.0035958614 0.0055082245 0.003956685 0.00310308 0.0029030808 0.0036793663 0.003076276 0.0026948343 0.0028721532 0.0041742097 0.0033092648 0.0035278206 0.0033566873 0.003992767 0.0032309145 0.003506171 0.0034556559 0.0065803854 0.003949468 0.0036236965 0.0032319454 0.004153591 0.0032185435 0.0035474082 0.0030773068 0.004994825 0.003777304 0.0037072012 0.0035773048 0.004116478 0.0031247295 0.0035494699 0.0034577176 0.005150494 0.0036340056 0.003655655 0.0033340068 0.0039195716 0.0033845222 0.0033669965 0.0035319442 0.0046360632 0.0036412221 0.0038020462 0.003506171 0.004112354 0.0033968932 0.0037020466 0.0037896752 0.0059051304 0.0036267892 0.0033401924 0.0029484415 0.0040113237 0.0030577194 0.0032680277 0.00303607 0.0049680206 0.003168028 0.0032102962 0.0030608121 0.0035917377 0.0028412254 0.003102049 0.003198956 0.004502043 0.0032865843 0.0032267908 0.0031494715 0.003898953 0.003344316 0.0032948318 0.003617511 0.0046113213 0.0032938009 0.0034711198 0.003155657 0.0040381276 0.0031896776 0.0034742125 0.0033391614 0.008624706 0.0045896717 0.0040113237 0.0035309133 0.004371116 0.003440192 0.0030175133 0.0033907078 0.004535033 0.0038257574 0.0029669981 0.0032030796 0.0037340051 0.0028030812 0.0028525656 0.0029762764 0.0052309064 0.0032030796 0.003494831 0.0030381319 0.0036577168 0.0031762756 0.0033164811 0.0032700896 0.004559775 0.002847411 0.0030577194 0.0027092672 0.0035175113 0.0032329764 0.0029979257 0.003154626 0.005005134 0.0034102951 0.003278337 0.0028010195 0.0037752423 0.0030267916 0.0030649358 0.0031938013 0.0041370965 0.0030020494 0.003129884 0.003020606 0.003642253 0.002848442 0.002915452 0.0030432865 0.004663898 0.0031247295 0.0038370977 0.0028535966 0.0035608101 0.0031587498 0.0029968948 0.0031267912 0.004249467 0.003154626 0.003344316 0.0031876157 0.0036628714 0.003196894 0.0033370997 0.003357718 0.0067123435 0.0040700864 0.0037309125 0.0033412233 0.0041061686 0.0032546257 0.0032989555 0.0032216362 0.0043329718 0.0033381307 0.003118544 0.0030680285 0.0036391602 0.002992771 0.0030783378 0.0028030812 0.0042587453 0.0032700896 0.003104111 0.003009266 0.003711325 0.0030329772 0.002941225 0.0029525652 0.003981427 0.0031226675 0.0027350404 0.0026401952 0.0035370989 0.0029628745 0.0035845214 0.0028834932 0.004953588 0.0032453474 0.0033938005 0.0029804 0.0038236955 0.003074214 0.0031999869 0.002914421 0.004438126 0.005449462 0.0034762744 0.003143286 0.0037937989 0.0030814307 0.00324844 0.0031927703 0.0046164757 0.0033288524 0.003424728 0.0030453482 0.0037391598 0.003089678 0.0033144194 0.0032391618 0.0043535903 0.0030309153 0.0031917393 0.002861844 0.0040092617 0.0030958636 0.004218539 0.004494827 0.011618616 0.0 0.0 0.0 0.0 0.0 1.0323071e-06 3.0969213e-06 0.0 1.0323071e-06 2.0646141e-06 0.0 0.0 1.0323071e-06 0.0 1.0323071e-06 0.0020429357 4.1292283e-06 2.0646141e-06 6.1938426e-06 5.1615352e-06 1.0323071e-06 3.096921e-05 1.1355378e-05 0.0 0.0 1.03230705e-05 0.0 0.0 0.0 0.0 0.0 0.0009461094 2.5807676e-06 6.1938426e-06 1.2903839e-05 9.290764e-06 5.677689e-06 5.1615356e-05 2.2710756e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028496836 3.5614594e-05 2.7872291e-05 1.0839224e-05 2.2194603e-05 3.458229e-05 4.232459e-05 1.8065373e-05 3.5614594e-05 5.1615352e-06 9.806918e-06 1.600076e-05 2.632383e-05 7.2261496e-06 1.7033068e-05 1.2903839e-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 0.00087591255 1.1871532e-05 1.2387685e-05 8.258457e-06 1.3419992e-05 1.600076e-05 1.3419992e-05 1.1355378e-05 1.0839224e-05 1.3419992e-05 6.709996e-06 1.3419992e-05 1.1871532e-05 1.03230705e-05 1.8065373e-05 9.806918e-06 0.0016176252 6.503535e-05 5.677689e-05 4.8518432e-05 4.7486126e-05 3.0453059e-05 2.2710756e-05 0.0005522843 2.9936906e-05 1.7033068e-05 1.9613835e-05 0.00027614215 2.0646141e-05 0.0002730452 1.6516913e-05 7.742303e-05 0.000739648 3.7163056e-05 3.4066135e-05 2.0646141e-05 2.2194603e-05 1.7033068e-05 1.39361455e-05 1.1871532e-05 1.6516913e-05 2.2710756e-05 1.909768e-05 1.754922e-05 6.709996e-06 4.645382e-06 2.2710756e-05 5.0583047e-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 0.0013125784 3.7163056e-05 4.2840744e-05 5.987381e-05 4.232459e-05 3.1485368e-05 9.135918e-05 5.832535e-05 3.922767e-05 5.7293044e-05 4.387305e-05 4.2840744e-05 7.7939185e-05 7.742303e-06 8.77461e-06 0.00016052375 0.0011639262 6.916458e-05 4.5937664e-05 4.5937664e-05 3.819536e-05 3.767921e-05 4.7486126e-05 5.987381e-05 5.213151e-05 5.0583047e-05 6.813227e-05 5.1615356e-05 7.484226e-05 1.4452299e-05 4.387305e-05 0.00025033447 0.004562281 0.00029162675 0.0002699483 0.00026943214 0.00029833676 0.00023949525 0.00033033825 0.00030607905 0.00032982213 0.00034943596 0.0003267252 0.0003499521 0.00051873433 0.00015278145 0.0001832345 0.0007355188 0.003183119 0.00027252908 0.00029936904 0.0002477537 0.00028749753 0.00028130368 0.00034169364 0.0009295925 0.0004056967 0.0003499521 0.00032311212 0.0006663542 0.0004609251 0.000433569 0.00017394374 0.00085733103 0.0022416548 0.00018116989 0.00028904597 0.00024414062 0.00029730445 0.00029369135 0.0002844006 0.0004010513 0.00044131128 0.00032156365 0.00024517294 0.00031588596 0.0004588605 0.0001610399 0.00018891219 0.0010343717 0.0003432421 5.4196124e-05 4.2840744e-05 4.490536e-05 5.4196124e-05 4.800228e-05 5.3163814e-05 5.1615356e-05 7.019688e-05 4.800228e-05 3.819536e-05 4.9034585e-05 4.4389206e-05 2.632383e-05 4.180844e-05 4.6969973e-05 0.09900909 0.062031332 0.062444255 0.055357985 0.06057836 0.05956257 0.055013195 0.05447278 0.060475647 0.05324227 0.05219448 0.05303271 0.056419194 0.050650146 0.056705143 0.053842556 4031.0 5.704292 22994.0 0.017178394 0.010437505 0.009437244 0.00874141 0.013525267 0.012525006 0.011829173 0.011524745 0.012525006 0.009741671 0.008436983 0.008610942 0.013829695 0.010524484 0.011742193 0.00987214 0.016786989 0.011916152 0.008654431 0.007523702 0.009785161 0.008480473 0.007828129 0.008350004 0.010263547 0.008480473 0.009567713 0.008871879 0.011524745 0.008958858 0.009698182 0.009219796 0.018004697 0.010915891 0.010350526 0.009045838 0.010785422 0.008915369 0.010698443 0.008263025 0.014177611 0.011568235 0.009741671 0.008958858 0.011394277 0.009350265 0.011611725 0.009567713 0.014742976 0.009611203 0.00991563 0.009176306 0.01209011 0.009393755 0.009741671 0.009828651 0.013699226 0.009263286 0.010480995 0.009567713 0.011089849 0.009785161 0.010394016 0.010654953 0.017917717 0.01095938 0.009698182 0.0081760455 0.013046882 0.008263025 0.009350265 0.008393494 0.0154823 0.009263286 0.008915369 0.008697921 0.011307297 0.0079585975 0.00991563 0.0078716185 0.01317735 0.008045577 0.008697921 0.008958858 0.011437766 0.009437244 0.008263025 0.0080020875 0.01100287 0.009002348 0.011916152 0.008610942 0.011263808 0.009089327 0.010002609 0.008697921 6.554884 0.0 0.0 0.0 14.0 970004.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 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 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 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 94208.0 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 831488.0 0.0 0.0 16384.0 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 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 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 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.060368273 0.004821775 0.0036017727 0.0042889337 0.0038085033 0.0038347086 0.0031475474 0.0034590994 0.0044752825 0.0044927527 0.0030514614 0.0031271656 0.004096762 0.0031883114 0.0037793864 0.0030223443 0.003657095 0.003540627 0.003686212 0.0034096004 0.0030601965 0.004122967 0.00441996 0.0039511765 0.0034358057 0.0030689316 0.0032640155 0.0034678346 0.003103872 0.003724064 0.0033047793 0.002937905 0.005080916 0.0032086931 0.003890031 0.0033426313 0.0041375253 0.0034969514 0.004256905 0.003907501 0.0034678346 0.0032698389 0.0031067836 0.0033688366 0.0035144216 0.0033833953 0.0033979537 0.0029349935 0.0037182407 0.0029087882 0.004015234 0.0032348984 0.0035231567 0.0029262584 0.0043093157 0.003462011 0.0033892186 0.003153371 0.0033630133 0.00393953 0.0029786688 0.003415424 0.0032698389 0.0033018675 0.005459437 0.0045160465 0.0029990508 0.0038580021 0.005308029 0.012549426 0.00366583 0.004026881 0.0032523687 0.0043413443 0.0034503643 0.0038288853 0.0031213423 0.004944066 0.004044351 0.0033921304 0.0047664526 0.004207406 0.0031475474 0.0036687418 0.0047751875 0.003674565 0.0032407218 0.0038550906 0.005325499 0.0038143268 0.0031591943 0.0029815806 0.0028651126 0.0045888387 0.0043879314 0.0035755674 0.00407638 0.0039919405 0.003036903 0.0030893134 0.0043879314 0.004280199 0.0035668323 0.0029815806 0.003424159 0.0037764746 0.0037269758 0.003744446 0.0032232518 0.003540627 0.0036600067 0.0037036822 0.0034853045 0.0028156138 0.0031446358 0.003520245 0.0038550906 0.0029815806 0.0037619162 0.0029349935 0.003965735 0.0032902209 0.0034066888 0.0034561877 0.004647073 0.003036903 0.0028767595 0.0036629182 0.004166642 0.0036396247 0.0031300774 0.003965735 0.0031388125 0.0032640155 0.0029903157 0.0039016777 0.0036920353 0.0043821083 0.0031475474 0.006970609 0.0029087882 0.0036833002 0.003578479 0.002879671 0.003598861 0.003191223 0.0030980485 0.0040123225 0.0039919405 0.0038550906 0.003881296 0.0029175233 0.0029262584 0.0029116997 0.0033775717 0.0029903157 0.0034561877 0.0033746602 0.0032640155 0.0035085983 0.003491128 0.0034270706 0.0028359955 0.003424159 0.0033863068 0.0029408168 0.0032756622 0.004181201 0.0034270706 0.0029670221 0.004216141 0.0032902209 0.003983205 0.0027981435 0.0028097902 0.0040909383 0.0030805783 0.0031562825 0.0028825828 0.004143349 0.0033542782 0.0027777615 0.0029786688 0.0034096004 0.0032611038 0.0038376204 0.003482393 0.0035435387 0.0035755674 0.0037182407 0.003986117 0.003744446 0.00352898 0.003162106 0.0041957595 0.0033047793 0.0029990508 0.0033513664 0.010324887 0.0042510815 0.0034649228 0.0034794812 0.003732799 0.004259817 0.005715667 0.0037881215 0.0041957595 0.0035115099 0.003004874 0.003191223 0.0035843025 0.004122967 0.0034183355 0.003211605 0.0035522738 0.004259817 0.0039337063 0.0036629182 0.0038958543 0.0037764746 0.00352898 0.0034969514 0.0030864018 0.0029087882 0.0032057816 0.0033106026 0.003016521 0.0030893134 0.003424159 0.005450702 0.0035231567 0.0035959492 0.00453934 0.0034940396 0.0028622008 0.0034503643 0.0037357109 0.0034416292 0.0030805783 0.0029058764 0.003962823 0.0036425365 0.0035318919 0.003674565 0.003278574 0.003791033 0.0037211524 0.0034066888 0.0035697438 0.0035085983 0.0038667372 0.0037677395 0.0045917504 0.004376285 0.0037036822 0.0070696073 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.053808887 0.05312763 0.054824922 0.05291565 0.05180021 0.05497404 0.052232936 0.05186892 0.049215533 0.05139087 0.05238936 0.0528908 0.05381327 0.054089576 0.051158424 0.053810347 1552.0 7.650773 11874.0 0.008000674 0.0064847567 0.006147886 0.018191006 0.0058110156 0.006905845 0.018106788 0.005726798 0.006653192 0.018191006 0.005979451 0.017517265 0.0060636685 0.005474145 0.006653192 0.004463534 0.0058952332 0.0055583627 0.006400539 0.008674415 0.0053899274 0.00530571 0.0060636685 0.0064847567 0.006232104 0.006653192 0.006653192 0.0060636685 0.004463534 0.006400539 0.005474145 0.005053057 0.0063163214 0.03292909 0.0058952332 0.0064847567 0.06181573 0.0068216273 0.006232104 0.035624053 0.0060636685 0.0339397 0.005726798 0.0051372745 0.006232104 0.007916456 0.032676436 0.018275224 0.034950312 0.019370053 0.0058952332 0.0068216273 0.0058952332 0.005221492 0.0063163214 0.019622706 0.033518612 0.0067374096 0.0056425803 0.005474145 0.0051372745 0.005221492 0.005979451 0.009348156 0.0058952332 0.022065016 0.006400539 0.007748021 0.011032508 0.01659087 0.0069900625 0.008927068 0.0060636685 0.009516591 0.0067374096 0.0056425803 0.0096850265 0.009263938 0.010106114 0.0096850265 0.006400539 0.0051372745 0.009600809 0.009348156 0.012632643 0.0067374096 0.0053899274 0.0058110156 0.0060636685 0.018275224 0.005979451 0.00530571 0.030486777 0.006147886 0.006147886 0.0058110156 6.1930017 0.0 0.0 0.0 9.0 343442.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 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 28672.0 4096.0 4096.0 4.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 -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 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 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 1.0 -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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 0.0 0.0 0.0 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 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 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 -2.0 0.0 0.0 1.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -2.0 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 -1.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.5209961 0.005425347 0.0017903646 0.0011664496 0.0024414062 0.001030816 0.000515408 0.000515408 0.001844618 0.00032552084 0.00035264756 0.00027126737 0.0020073785 0.0011664496 0.0013563368 0.001546224 0.0037163629 0.001546224 0.0005967882 0.00024414062 0.00086805556 0.0003797743 0.00027126737 0.0002983941 0.00032552084 0.00018988716 0.00035264756 0.0003797743 0.0007866754 0.00027126737 0.00027126737 0.0003797743 0.0008409288 0.00032552084 0.00013563369 0.000108506945 0.00048828125 0.0030110676 0.00016276042 8.138021e-05 0.00056966144 8.138021e-05 8.138021e-05 0.0007324219 0.00018988716 0.0002983941 0.00062391494 0.00021701389 0.006863064 0.0053168405 0.0048828125 0.0047743055 0.0035536024 0.0013292101 0.002983941 0.0013020834 0.0034179688 0.004530165 0.00035264756 0.00043402778 0.00048828125 8.138021e-05 5.4253473e-05 0.00024414062 0.009250217 0.010172526 0.007025825 0.043511286 0.03266059 0.029052734 0.0076226126 0.00035264756 0.0013020834 0.0010036892 0.00027126737 5.4253473e-05 0.0011393229 0.005452474 0.00043402778 0.0006510417 0.010172526 0.0003797743 0.00040690103 0.002766927 0.0007866754 0.0012478299 0.002875434 0.001030816 0.0010850695 0.00013563369 0.00018988716 0.0007324219 0.0011121961 0.0013292101 0.00048828125 0.008219401 0.0006510417 0.006157769 0.0039605033 0.001030816 0.0030381945 0.004123264 0.0037434895 0.00035264756 0.002983941 0.001844618 0.0031467015 0.0009765625 0.0022515191 0.0016547309 0.0019802516 0.0024414062 0.0027940539 0.00024414062 0.0045844186 0.001546224 0.0040418836 0.0030653211 0.0039605033 0.0003797743 0.0010036892 0.0006781684 5.4253473e-05 5.4253473e-05 0.00043402778 0.0004611545 0.000108506945 0.0002983941 0.0024414062 0.00016276042 0.00021701389 0.001546224 0.00035264756 0.0025227864 0.000108506945 0.000108506945 0.00094943575 0.0059950086 2.7126736e-05 0.006076389 0.0007324219 0.012451172 5.4253473e-05 0.00032552084 0.000515408 2.7126736e-05 0.00016276042 0.00013563369 0.00018988716 0.00018988716 0.00016276042 0.00018988716 0.0003797743 0.00021701389 0.000108506945 0.00018988716 0.000515408 0.00054253475 0.00016276042 0.00016276042 0.0012749566 0.00081380206 0.000108506945 0.00040690103 0.00024414062 0.00081380206 0.00013563369 0.000108506945 0.0002983941 0.00013563369 0.00024414062 0.00018988716 0.0011121961 0.00035264756 0.00027126737 0.00048828125 0.0017361111 0.00048828125 0.000515408 0.0004611545 0.0010850695 0.00056966144 0.0010579427 0.00040690103 0.0008409288 0.00043402778 0.00040690103 0.0003797743 0.0009765625 0.00048828125 0.0007595486 0.0006510417 0.0024685329 0.0008409288 0.0006781684 0.0012749566 0.0032823351 0.00035264756 0.00062391494 0.0018988715 0.001546224 0.00040690103 0.00018988716 5.4253473e-05 0.0015733507 0.00024414062 8.138021e-05 0.00018988716 0.0033365886 0.00016276042 8.138021e-05 5.4253473e-05 0.0017089844 2.7126736e-05 0.000108506945 0.00013563369 0.00086805556 5.4253473e-05 0.00013563369 0.00027126737 0.0012749566 0.00013563369 0.00013563369 0.000108506945 0.0010036892 0.00016276042 0.00016276042 8.138021e-05 0.000922309 8.138021e-05 0.000108506945 2.7126736e-05 0.011420356 0.00054253475 0.00018988716 0.00062391494 0.0015733507 0.00021701389 0.00043402778 0.00024414062 0.0006781684 0.000108506945 0.00016276042 2.7126736e-05 0.00040690103 5.4253473e-05 0.0004611545 0.00021701389 0.0019259983 0.00032552084 0.00013563369 0.0006510417 0.0011121961 0.0004611545 0.0004611545 0.04538303 0.14285715 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025809152 5.580357e-05 0.0 0.00011160714 0.0 0.0 0.0 5.580357e-05 0.0 0.0 0.0 0.0 9.765625e-05 0.0 0.0 0.0024414062 0.025906809 0.000390625 0.00026506698 9.765625e-05 0.00026506698 0.00015345983 0.00047433036 0.0002511161 0.00027901787 4.185268e-05 9.765625e-05 0.00011160714 9.765625e-05 1.3950893e-05 6.975447e-05 5.580357e-05 0.04482422 0.00026506698 0.00033482144 0.0010463169 0.000390625 0.00047433036 0.0012137276 0.0008091518 0.0007533482 1.3950893e-05 1.3950893e-05 0.00012555804 0.00036272322 4.185268e-05 0.00022321429 0.00625 0.11495536 0.0 0.0 0.0226423 0.09097377 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.048674665 0.00022321429 0.0003766741 0.0029436385 0.012067522 0.004157366 0.0071289064 0.0045061386 0.00078125 8.370536e-05 0.00015345983 0.0001953125 0.00030691965 6.975447e-05 0.00022321429 0.0038225446 0.048953682 0.0018973214 0.0011300223 0.005482701 0.0126953125 0.0021484375 0.006291853 0.0030412946 0.00033482144 0.00047433036 0.00034877233 0.0003766741 0.0004185268 0.00023716518 0.00033482144 0.0015485492 0.029268973 0.0017717634 0.0010602679 0.0047433036 0.0065848213 0.0019949777 0.0046456475 0.0031808035 0.00030691965 0.0001953125 0.00027901787 0.00027901787 0.00033482144 0.00022321429 0.00030691965 0.001967076 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00703125 0.00018136161 0.0002092634 0.00055803574 0.0019252232 0.0037109375 0.0073660715 0.0037946429 0.0009626116 0.00023716518 0.00047433036 0.00026506698 0.00053013396 0.00016741072 0.00032087055 0.0008370536 0.018917412 0.0027204242 0.002078683 0.001827567 0.0089704245 0.0026367188 0.004338728 0.0025390624 0.002078683 0.0005440848 0.0005859375 0.0005440848 0.0018554687 0.0009347098 0.001967076 0.004603795 0.008984375 0.0006138393 0.00062779017 0.00062779017 0.0057477676 0.0055524553 0.0041015623 0.0020647321 0.0076311384 0.00062779017 0.001813616 0.002594866 0.0026925222 0.001827567 0.0034179688 0.008217076 0.016169084 0.0026785715 0.001827567 0.0015904017 0.014355469 0.012918527 0.005454799 0.003892299 0.021637835 0.0017020089 0.0033342633 0.0069754464 0.009361049 0.0053152903 0.011369978 0.024274554 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 168.0 12.458333 2093.0 0.0033444816 0.0004777831 0.0 0.0 0.0019111324 0.0 0.0 0.0004777831 0.0 0.0 0.0 0.0 0.0004777831 0.0 0.005733397 0.0 0.0009555662 0.0038222647 0.0100334445 0.0062111802 0.0038222647 0.0 0.0038222647 0.0 0.0009555662 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028666984 0.009077879 0.0033444816 0.01720019 0.0062111802 0.005733397 0.009077879 0.0023889155 0.0019111324 0.011466794 0.0 0.0 0.012900143 0.011944577 0.0009555662 0.0076445295 0.0033444816 0.0 0.0028666984 0.024844721 0.005255614 0.0028666984 0.028189203 0.0014333492 0.0004777831 0.0 0.0 0.0 0.0028666984 0.0 0.0 0.13425705 0.0004777831 0.1017678 0.06306737 0.0124223605 0.029622551 0.053033922 0.007166746 0.0028666984 0.005255614 0.02150024 0.011466794 0.005733397 0.023889154 0.01720019 0.01863354 0.028189203 0.011466794 0.0023889155 0.07118968 0.019589106 0.048733875 0.011466794 0.06593407 0.0014333492 0.004777831 0.009555662 0.0 0.0 0.0 0.0 0.0 0.0 4.863659 0.0 0.0 0.0 1.0 36864.0 36864.0 0.0 0.0 83.0 0.0 1.0 0.0 0.0 0.0 1542992300.0 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 3132.0 3123.0 6.0 0.0 4.0 0.0 4.0 0.0 24576.0 4096.0 4096.0 3.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24576.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.050545 0.0 3.099048 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24556.0 0.0 2280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 26868.0 2280.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 568.0 400.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.17372279 0.012017286 0.005967496 0.0060356827 0.008986513 0.0045073642 0.0039477646 0.0034116772 0.00982121 0.002929669 0.0026193028 0.0026686795 0.0062519987 0.0024711736 0.0019092226 0.012146606 0.006621146 0.001596505 0.0015918026 0.0016740967 0.0035480503 0.0034116772 0.0024147434 0.0013049489 0.0030589884 0.0018739537 0.0012931926 0.0015871001 0.0024500121 0.0014930497 0.0011803322 0.0016200177 0.0051469067 0.0012743826 0.0013731355 0.0015142111 0.0037314487 0.0013660816 0.0012038448 0.001241465 0.0019374377 0.0010204465 0.0011121457 0.0029696405 0.001965653 0.0028215111 0.0016976092 0.0013919455 0.005856987 0.0026334105 0.002511145 0.007926095 0.0025440627 0.0021419972 0.0018927638 0.0019938678 0.0029931532 0.0028944002 0.002193725 0.0056853453 0.0028685364 0.0032447379 0.0022689654 0.0049541034 0.004751895 0.003336437 0.0025581701 0.008161221 0.0070279143 0.012059609 0.0033058706 0.002130241 0.0024993888 0.0025863852 0.0013848918 0.0013613792 0.0021984274 0.005901661 0.0022971805 0.0015871001 0.008055414 0.0032165227 0.0015612362 0.0034257849 0.002330098 0.004441529 0.0042087543 0.0036656132 0.0026921919 0.004154675 0.0013566767 0.001650584 0.0018175235 0.004034761 0.003000207 0.0026122492 0.0022407502 0.003428136 0.0015565336 0.0025487652 0.0029813969 0.0054713804 0.006990294 0.001803416 0.0042299153 0.0034375412 0.0050246413 0.0014201606 0.003679721 0.0019068713 0.0035668605 0.0035856704 0.0027133534 0.0011803322 0.004260482 0.004234618 0.010296165 0.009710701 0.002076162 0.002294829 0.0021631585 0.0018198747 0.0013002465 0.0011239019 0.0018480899 0.002983748 0.0021184846 0.0019985705 0.0045379307 0.002447661 0.0018692511 0.011610518 0.0035598066 0.010317326 0.0013919455 0.0013378665 0.0022501552 0.010162143 0.0016364765 0.02789299 0.0018339823 0.014568402 0.001006339 0.0011638734 0.0018904125 0.00093344995 0.0011027406 0.0011662246 0.0015024547 0.0015400748 0.00090053235 0.00094285497 0.0014554295 0.0017446345 0.0009804751 0.0012908414 0.0017281756 0.0014648346 0.0010110415 0.0015941538 0.0024993888 0.0023982846 0.001260275 0.0015612362 0.0015330211 0.0013096514 0.0008746685 0.0008770197 0.0017211218 0.0009593138 0.0008582097 0.0009875289 0.0014013506 0.00082764326 0.0010039877 0.00094285497 0.0017634445 0.0010227978 0.00090758613 0.0009710701 0.0015635875 0.001631774 0.0023183418 0.0021960763 0.0028497262 0.0013472716 0.001377838 0.0011027406 0.0019115738 0.0021278898 0.0012696801 0.0017305269 0.008901868 0.0038207965 0.002682787 0.004622576 0.0028685364 0.0016905555 0.004236969 0.0033740571 0.003282358 0.0033881648 0.0014765909 0.001558885 0.003933657 0.0010745255 0.0018998175 0.0018433873 0.0026498693 0.0015706412 0.0017187706 0.0016247202 0.0016999604 0.0008393996 0.0013284616 0.0012273574 0.0022619115 0.001650584 0.0009898802 0.0018457386 0.0020056241 0.0015118597 0.0010651205 0.001260275 0.0031671464 0.0013049489 0.0010369053 0.00094990875 0.0028685364 0.0024406072 0.0011474146 0.0016764479 0.016383575 0.004505013 0.001152117 0.0046366835 0.0047307336 0.0009898802 0.0013120027 0.0015447774 0.0061532455 0.0019703554 0.001685853 0.0016552865 0.00319301 0.0015118597 0.004079435 0.0036256418 0.0052362545 0.0019374377 0.002139646 0.0017093655 0.006256701 0.003536294 0.0049494007 0.05479375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018882568 1.061481e-05 1.061481e-05 9.199502e-05 8.255963e-06 2.9485584e-05 1.061481e-05 2.0050196e-05 1.1794233e-05 6.722713e-05 1.1794233e-05 1.1794233e-05 3.4203276e-05 1.061481e-05 1.7691349e-05 0.00018045177 0.006427857 0.0003585447 0.00037387718 3.892097e-05 0.00016158099 0.000106148094 0.001306801 0.00061919726 3.6562124e-05 2.9485584e-05 3.5382698e-05 2.830616e-05 3.302385e-05 3.4203276e-05 2.830616e-05 4.363866e-05 0.027697576 0.0007336013 0.0012773154 0.00047884588 0.002253878 0.0005920705 0.0026761114 0.0017137021 0.0002736262 0.0007052951 0.00024178177 0.0005472524 0.000507152 0.00031254717 0.00069114205 0.0027763625 0.021615291 0.0012678801 0.0009506152 0.0006085824 0.0020156344 0.000546073 0.0025510925 0.0015757096 0.0009341033 0.00064632396 0.0002523966 0.000353827 0.0007831371 0.00024414062 0.00058853225 0.001298545 0.023731176 0.0006416063 0.0016971901 0.0016099128 0.0034132511 0.0014931499 0.007070643 0.0038413818 0.0005283816 0.0012973656 0.00048474298 0.00042341297 0.0014212051 0.00029603526 0.0006935009 0.0020816822 0.021185981 0.0007748811 0.0014589466 0.001161732 0.00435679 0.0015061236 0.0061837165 0.0034887341 0.0005578672 0.0011723468 0.0016287836 0.0004859224 0.00068170665 0.00044110432 0.0007418573 0.002482686 0.013063293 0.0017101638 0.0017148815 0.014743971 0.0021949068 0.0016771399 0.0031997755 0.0022326484 0.0020628113 0.001392899 0.001507303 0.0013421837 0.0016264247 0.0014884322 0.0017313934 0.003867329 0.014585928 0.0014212051 0.0016016569 0.004126802 0.003892097 0.0030723978 0.0025168892 0.0023918704 0.010454408 0.002192548 0.0013728488 0.0022161363 0.0035937028 0.0014141286 0.0038508172 0.01859125 0.06448379 0.010441435 0.0065575936 0.011580758 0.019383822 0.018000359 0.010135964 0.01417313 0.0430749 0.003513502 0.0037918459 0.006801734 0.018231526 0.0065151346 0.018597146 0.036987893 0.04911826 0.01118683 0.008327908 0.011380255 0.017994462 0.01811948 0.0102256 0.014147183 0.03202724 0.0030157855 0.0046009305 0.0058133774 0.016212353 0.0065516965 0.015383218 0.027103148 0.015279429 0.00811915 0.007720505 0.008770192 0.0075424123 0.0070730015 0.007968184 0.007912751 0.007806603 0.007185047 0.0070730015 0.008049564 0.007597845 0.007925725 0.0075872303 0.009239602 1666.0 13.284513 22132.0 0.035197902 0.0021688053 0.0032080247 0.0017169709 0.0071389843 0.0013555033 0.0020784384 0.0035243088 0.0041116937 0.0016717875 0.0014458703 0.002123622 0.004156877 0.0058738478 0.010708476 0.0058738478 0.02281764 0.014684619 0.011657328 0.011612145 0.011341045 0.010798844 0.008630038 0.009172239 0.012289897 0.012786915 0.009849991 0.011069944 0.013871318 0.01102476 0.011295862 0.012109163 0.013058015 0.010121091 0.0024399061 0.011521778 0.008087836 0.0053768298 0.005150913 0.006325682 0.005105729 0.0055575636 0.0015814205 0.0017621544 0.007319718 0.004473161 0.0028013736 0.0034791252 0.0132387495 0.0029369239 0.0052412795 0.013103199 0.009985541 0.0028917405 0.008178203 0.01206398 0.015000904 0.002123622 0.004247244 0.0022591723 0.0042020604 0.0023043556 0.0026206397 0.0065515996 0.005693114 0.032215796 0.009127056 0.02295319 0.022230254 0.05507862 0.009398157 0.012018796 0.011702512 0.030995844 0.006913067 0.0045183445 0.02715525 0.011160311 0.02977589 0.037547443 0.015046087 0.002033255 0.036282305 0.027742635 0.048165552 0.013193565 0.0061449483 0.0058738478 0.007184168 0.008404121 0.002123622 0.0017169709 0.0037954093 0.0012651364 0.0018977047 0.0021688053 6.0313044 1.0 24.0 0.0 4.0 425304.0 434176.0 1.0 0.0 202.0 1.0 1.0 1.0 0.0 0.0 1491956400.0 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 14.0 0.0 5.0 1.0 5.0 1.0 233472.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 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 91648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -233984.0 0.0 68096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6044054 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.716959 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7005746 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10.629943 0.0 6.9886446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12636.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 91408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -233883.0 0.0 67776.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 1.0 -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 1.0 0.0 1.0 -1.0 -1.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 -2.0 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 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -2.0 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 -1.0 1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 324024.0 67776.0 348160.0 0.0 0.0 13144.0 412160.0 12636.0 417792.0 84.0 307040.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 307128.0 0.0 0.0 848.0 237568.0 0.0 0.0 0.0 0.0


Input: 0.18554051 0.010387158 0.006498917 0.0060307407 0.009696797 0.003916014 0.0032494585 0.0029995001 0.007744741 0.002777315 0.002805088 0.0027971528 0.0060029677 0.0031145604 0.0019639584 0.005046778 0.0058918754 0.0018846066 0.0021583703 0.0019917316 0.004277065 0.003428 0.0020115694 0.0018568333 0.0038803057 0.0019282501 0.0016148102 0.0015433936 0.0031582038 0.0019798288 0.0016584537 0.0016782917 0.0056538195 0.0016227454 0.0015513287 0.0022297872 0.018564366 0.00202744 0.0016901945 0.001432301 0.002824926 0.0016703565 0.0016624214 0.0022853334 0.0025273566 0.0019917316 0.0020234722 0.0030629816 0.0032613613 0.0016425834 0.0020988565 0.0038485648 0.0022615278 0.0024797455 0.0015513287 0.0014838796 0.0028090556 0.002309139 0.0017616112 0.004578602 0.0022456574 0.0020909214 0.0015314908 0.0016703565 0.003876338 0.010343514 0.0076971296 0.0022059816 0.007355917 0.005756977 0.0039596576 0.0022773982 0.0027257362 0.0020631482 0.0015037176 0.0016068751 0.007046445 0.0044754446 0.0023012038 0.0018846066 0.008284333 0.003253426 0.0032851668 0.0051856437 0.003876338 0.0033486483 0.0053403797 0.004197713 0.0026305139 0.0046698567 0.0018885741 0.0028169907 0.0038803057 0.003193912 0.003459741 0.004324676 0.0028288935 0.005931551 0.001840963 0.0029836297 0.004558764 0.0061894446 0.0024122964 0.0026543196 0.0045349584 0.004590505 0.0065306574 0.0017020972 0.004356417 0.0021821759 0.0042611947 0.00331294 0.0035827362 0.0014045278 0.0040191715 0.0034319677 0.010573635 0.008562065 0.0028725371 0.001753676 0.0026463843 0.0016743242 0.0014084954 0.0015751343 0.002932051 0.0028169907 0.0022139167 0.0016227454 0.0037374722 0.002436102 0.0015433936 0.009514287 0.004653986 0.005395926 0.001626713 0.0015314908 0.0029637918 0.009141333 0.0029756946 0.021087755 0.002007602 0.011168773 0.0013569167 0.0013489815 0.0074471715 0.0013370787 0.001345014 0.0016544862 0.0018369955 0.0015037176 0.001325176 0.0013172408 0.0015910047 0.0013807223 0.0012974028 0.0012616945 0.0017020972 0.001345014 0.001432301 0.0013569167 0.0017854167 0.002336912 0.0012735972 0.0015473611 0.0018171575 0.0016346482 0.0014084954 0.0013767547 0.0018171575 0.0012974028 0.0012339214 0.0012934352 0.0016624214 0.0012775649 0.0014045278 0.0015751343 0.002007602 0.0012815325 0.0012775649 0.001372787 0.0017100325 0.0011228287 0.0022139167 0.0017893843 0.002618611 0.0017219352 0.0014164306 0.0018092223 0.0016901945 0.0015394259 0.0020155371 0.001626713 0.006090255 0.0038168242 0.0024797455 0.0046896944 0.004717468 0.0018369955 0.0044278335 0.0055149538 0.0027138335 0.0025829028 0.0019123796 0.0018449306 0.005288801 0.0016187779 0.002202014 0.0017616112 0.0021980463 0.0018965093 0.0017219352 0.0016663889 0.0018369955 0.0014957824 0.0014838796 0.001646551 0.0024400696 0.0015473611 0.0015076852 0.002007602 0.0017695463 0.0014243658 0.0015552964 0.0014243658 0.0038049214 0.0025471945 0.0033565834 0.0014957824 0.0024757779 0.0013886575 0.001519588 0.0014561065 0.01145444 0.004971394 0.001694162 0.0042056483 0.003059014 0.0016148102 0.0014005603 0.0015870371 0.0032415232 0.0017655788 0.0016703565 0.0023131066 0.002035375 0.0015076852 0.0026265464 0.0024718102 0.0039239493 0.0020869537 0.001773514 0.0020790186 0.003507352 0.0017298704 0.005082486 0.03281596 0.044893973 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.985969e-06 0.0039660395 7.971938e-06 7.971938e-06 7.971938e-06 5.978954e-06 9.964923e-06 7.971938e-06 5.978954e-06 5.978954e-06 3.985969e-06 9.964923e-06 5.978954e-06 5.978954e-06 7.971938e-06 1.3950893e-05 7.971938e-06 0.011242427 0.00012157207 0.000103635204 2.7901786e-05 0.0001434949 0.00010164222 0.00018933354 9.16773e-05 6.178253e-05 1.1957908e-05 1.9929846e-06 0.0 2.5908801e-05 5.978954e-06 6.776148e-05 4.7831632e-05 0.0036172671 3.388074e-05 4.583865e-05 3.5873723e-05 7.9719386e-05 8.569834e-05 7.174745e-05 3.5873723e-05 3.985969e-06 3.985969e-06 3.985969e-06 9.964923e-06 1.7936862e-05 1.3950893e-05 1.3950893e-05 7.971938e-06 0.0034239476 1.1957908e-05 1.5943877e-05 1.9929847e-05 0.00015943877 5.978954e-05 7.971938e-06 3.1887754e-05 1.9929847e-05 2.1922831e-05 2.989477e-05 2.5908801e-05 1.7936862e-05 3.5873723e-05 9.765625e-05 0.00010164222 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008296795 0.00026905292 0.00032087055 0.00012755101 0.00034877233 0.00016143176 0.0007553412 0.00033282844 7.374043e-05 4.583865e-05 5.580357e-05 9.367028e-05 6.178253e-05 8.370536e-05 5.7796555e-05 0.0011599171 0.01339485 0.00016541773 0.00051020406 0.0006417411 0.0011061066 0.0005620217 0.0015943878 0.00075135526 0.0002869898 9.964924e-05 5.978954e-05 6.975447e-05 0.00027702487 5.7796555e-05 0.00035873725 0.0004723374 0.015156649 0.00052614795 0.00056800066 0.00018933354 0.0023596939 0.00036870217 0.0030293367 0.0013651946 0.00013950893 0.0003647162 0.00011559311 0.0002730389 0.0013891103 0.00027901787 0.00012555804 0.0023218272 0.013659917 0.00039461098 0.0016462053 0.00062978314 0.0028041294 0.001440928 0.007334184 0.0034159757 0.00045240752 0.00026307398 0.00014947385 0.0004563935 0.00030094068 0.00018534757 0.00055404974 0.0030472735 0.008876754 0.00083904655 0.0011399873 0.0008191167 0.0024294483 0.001167889 0.007688935 0.0033183196 0.00016342475 0.0001833546 0.00015345983 0.00027901787 0.00013751595 0.00026905292 0.00044642857 0.00065967796 0.010540896 0.0012316646 0.0014668368 0.0008569834 0.0011419802 0.0011898119 0.0030691964 0.0014688297 0.0003368144 0.00043048468 0.0004424426 0.0008988361 0.00033482144 0.00032485652 0.00023915817 0.00051618303 0.0073620854 0.001171875 0.001303412 0.0006895727 0.0018534758 0.0016840721 0.0026606345 0.0011878188 0.0024254625 0.000390625 0.0004823023 0.0012595663 0.0023756376 0.00054209185 0.0021085779 0.0051558516 0.0302555 0.0042330995 0.0061882176 0.0042350926 0.010925542 0.010222019 0.004294882 0.0067044003 0.018837692 0.0016721141 0.0011898119 0.0016541773 0.0074896365 0.0019929847 0.007884247 0.012832829 0.06526228 0.013859215 0.021396684 0.011278301 0.025536112 0.028655134 0.011878189 0.015726643 0.041464046 0.0076490752 0.0040935907 0.004428412 0.0222158 0.005883291 0.017456552 0.025665658 0.019321987 0.01813616 0.018146126 0.018154098 0.018253747 0.018032525 0.018016582 0.018658323 0.018558674 0.018058434 0.018024554 0.017829241 0.019021045 0.018028539 0.018742029 0.018895488 1426.0 10.621319 15146.0 0.017034201 0.002244817 0.001980721 0.0018486729 0.014855407 0.002046745 0.002046745 0.0013865047 0.0052819224 0.004225538 0.0011224085 0.0017826488 0.0029050575 0.007658788 0.0085171005 0.025287205 0.004489634 0.0025089132 0.0044236104 0.002244817 0.0030371055 0.002310841 0.0027730095 0.0018486729 0.0033672256 0.0035652977 0.0025749372 0.007790836 0.0026409612 0.0035652977 0.001914697 0.001980721 0.0037633698 0.008847221 0.0074607157 0.008979268 0.007988908 0.009837581 0.0095074605 0.0047537303 0.005546019 0.008319028 0.0025749372 0.0031031296 0.016439984 0.0066684275 0.00409349 0.0065363795 0.016770104 0.0069325236 0.010893965 0.020203354 0.013468903 0.005744091 0.009903605 0.009045293 0.0037633698 0.004225538 0.0013204806 0.005810115 0.004225538 0.0053479467 0.0046877065 0.009837581 0.0027730095 0.0678727 0.0069985474 0.020269377 0.019939259 0.06476957 0.006074211 0.020401426 0.014921431 0.04304767 0.018948898 0.0052158986 0.032483824 0.012148422 0.044302125 0.030172983 0.018156609 0.0015185528 0.035719004 0.027069854 0.043839958 0.019014921 0.014789383 0.0052819224 0.00917734 0.0066024032 0.0025749372 0.0014525288 0.001980721 0.0012544566 0.0017166248 0.0016506008 5.8409615 0.0 0.0 5.0 3.0 252042.0 245760.0 0.0 3.0 146.0 0.0 1.0 0.0 0.0 0.0 1397648600.0 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 118784.0 4096.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -118784.0 0.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.04534 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0685012 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.626112 0.0 7.850982 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14537.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -115461.0 0.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 -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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 -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 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 249.0 137168.0 120.0 133800.0 3696.0 163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 604.0 122880.0 0.0 0.0 0.0 0.0