Input: 0.3792384 0.004552478 0.0027979147 0.0021480764 0.0022202807 0.001732902 0.0013718808 0.0015415607 0.0032672423 0.0013718808 0.001783445 0.0011480476 0.0016751386 0.0015848833 0.000967537 0.0022527727 0.0024441138 0.000916994 0.0011263863 0.0010577923 0.0011985906 0.0059063076 0.0010072493 0.0007148221 0.0011769293 0.000747314 0.0008086876 0.00085562037 0.0011119455 0.0009747574 0.0008411795 0.0010000289 0.006696944 0.0007725855 0.0012166416 0.0010180799 0.0017978859 0.00082673866 0.00076175487 0.00092421443 0.0014693565 0.0008953327 0.001292456 0.0012274723 0.00092421443 0.0008447897 0.000967537 0.00075814466 0.001682359 0.0012491335 0.0067005544 0.02887087 0.0013682706 0.0014115932 0.00089894293 0.0009928085 0.0010902842 0.0012274723 0.0011985906 0.0015704425 0.0014874076 0.0013718808 0.0013827115 0.0013574399 0.0017545633 0.0056427624 0.0012635743 0.0010577923 0.001393542 0.0018231573 0.0019820067 0.0009855881 0.0013682706 0.0011444374 0.0009206042 0.0007184323 0.0024585547 0.0012202519 0.0010505719 0.0009350451 0.0024007913 0.001036131 0.0009928085 0.0015415607 0.0012527438 0.0012383029 0.0015235097 0.0012780152 0.00092421443 0.0020036679 0.00088089186 0.00081951823 0.00095309614 0.0013105072 0.0012888459 0.0012527438 0.0012852356 0.001833988 0.0010289106 0.0016209855 0.0015740527 0.0028448475 0.0022347216 0.005617491 0.0015884936 0.0068413527 0.0015054586 0.0009386553 0.0020361599 0.0010253004 0.0016931897 0.001833988 0.0013502195 0.0006642791 0.0023719096 0.0014837973 0.0040289974 0.002870119 0.0011985906 0.000967537 0.0009964186 0.0014404748 0.000866451 0.0006895506 0.0010686229 0.0010577923 0.0008122978 0.0023358075 0.0020361599 0.0013538297 0.0016895795 0.0029459335 0.001375491 0.0023394178 0.0008411795 0.0006714995 0.0014260339 0.0025668612 0.0013682706 0.0100327805 0.0011588782 0.001765394 0.00076175487 0.00087367144 0.001444085 0.0010938944 0.0011769293 0.000916994 0.0009855881 0.00084839994 0.00087728165 0.0007148221 0.0009133838 0.0012166416 0.00088089186 0.0009097736 0.00085562037 0.00095309614 0.000797857 0.0010216902 0.0016282059 0.0011011148 0.0011624885 0.0012707948 0.0009097736 0.0011985906 0.00092782464 0.00064983824 0.005740238 0.0009206042 0.00096031657 0.002581302 0.0009928085 0.000815908 0.0007184323 0.0009097736 0.0011372169 0.00085562037 0.001512679 0.00082673866 0.0008953327 0.0008628408 0.0012274723 0.0012166416 0.0011985906 0.0011119455 0.00081951823 0.00080146716 0.0011624885 0.00070038124 0.0007437038 0.0014332543 0.002902611 0.0014729667 0.0015162893 0.0017798347 0.0012563539 0.0012707948 0.001205811 0.0013971523 0.0017509531 0.0012166416 0.0009350451 0.0008917225 0.007198764 0.0008953327 0.0008700612 0.0014874076 0.005400878 0.0012419132 0.0014874076 0.0008122978 0.0012635743 0.0009928085 0.0017726144 0.0053972676 0.0029170518 0.0053575556 0.0014693565 0.0018664799 0.001274405 0.0015343403 0.0013502195 0.0013213378 0.0021047539 0.0013791012 0.0020939233 0.0012166416 0.0016534773 0.001985617 0.0017256816 0.0014007625 0.0091446685 0.0016859693 0.0018737003 0.002667947 0.0018159369 0.001801496 0.0017112407 0.0015776629 0.0026462858 0.0012310825 0.0027437615 0.0014729667 0.001613765 0.0019386841 0.0023682995 0.0020144987 0.0028376272 0.0017581736 0.0023827404 0.0027473718 0.002700439 0.0033033446 0.0297301 0.13743718 0.13366744 1.8151719e-06 1.2706204e-05 0.0 0.0 0.0 0.0 0.0 9.075859e-06 0.0 0.0 0.0 9.075859e-06 0.0 7.2606877e-06 0.00012161652 0.013804383 3.6303438e-06 5.445516e-06 9.075859e-06 1.8151719e-06 3.9933784e-05 0.0 3.2673095e-05 1.4521375e-05 7.2606877e-06 5.445516e-06 1.8151719e-06 3.6303438e-05 1.6336548e-05 4.1748954e-05 0.0008495005 0.013276167 2.5412408e-05 1.9966892e-05 4.53793e-05 3.6303438e-06 3.6303438e-06 1.0891032e-05 1.6336548e-05 4.53793e-05 0.0 5.445516e-06 1.8151719e-06 1.8151719e-05 5.445516e-05 2.904275e-05 0.0013141845 0.015055036 1.8151719e-05 2.904275e-05 0.0003049489 2.722758e-05 5.9900674e-05 1.6336548e-05 1.6336548e-05 1.6336548e-05 2.3597235e-05 2.3597235e-05 9.07586e-05 9.9834455e-05 3.9933784e-05 2.3597235e-05 0.0027427247 0.0051986524 2.904275e-05 5.445516e-06 2.904275e-05 5.445516e-06 0.0 0.0 7.2606876e-05 1.6336548e-05 1.0891032e-05 1.9966892e-05 5.445516e-06 7.2606877e-06 0.00025412408 9.6204116e-05 0.0016844795 0.024100037 0.00011798618 0.00011435583 0.00076418737 0.0001815172 0.00010164963 0.0002141903 9.9834455e-05 0.00011072549 0.000284982 0.00096748665 0.00050643296 0.00017244133 0.0009947142 0.0005881157 0.022725953 0.03328299 0.0001615503 0.0002577544 0.0012760658 0.0006098978 0.0005209543 0.00086402183 0.00078596943 0.00047375986 0.00041748956 0.00051913917 0.0015882754 0.0018315085 0.0055344594 0.0016173181 0.05063059 0.043977987 0.00029405786 0.0010237569 0.013619235 0.0011943831 0.00045560815 0.0020493292 0.0017643471 0.00036121922 0.00105643 0.0007315143 0.00079323014 0.0014376162 0.006883132 0.0044072373 0.0426275 0.039287582 0.00030857924 0.0007787088 0.014089365 0.0018296933 0.00070791703 0.0028117013 0.0019404188 0.0006933957 0.0014049431 0.001067321 0.0008730977 0.0013214452 0.004737599 0.005636109 0.03403629 0.01566675 0.00024141787 0.00021600546 0.0046432097 0.00080049084 0.00060808257 0.0015755693 0.0011381129 0.00054818194 0.0006879502 0.00045742333 0.0007061019 0.0004792054 0.0047321534 0.0027881041 0.01303838 0.0045361146 0.00027046062 0.00032128542 0.001499332 0.00018514754 0.00012524686 0.00031583992 0.00030131853 0.00025956958 0.00022508133 0.00028316682 0.00021600546 0.00024323304 0.0002141903 0.0003630344 0.0017933899 0.008358867 0.0005754095 0.0010999942 0.0040623546 0.00105643 0.0008585763 0.0025702834 0.0018569209 0.0008277184 0.00070973224 0.0004973571 0.00046105369 0.00073877495 0.0005391061 0.00054092123 0.0012688052 0.0030313372 0.0001815172 0.000528215 0.00027409097 0.00037392543 0.00021782063 0.0006915805 0.00044108677 0.0001942234 0.00026864544 0.00015247444 0.00013976824 0.00014158341 0.0001488441 0.00013795307 0.00051187846 0.00507159 0.00088398875 0.0010782122 0.00065709226 0.0013377817 0.0013414121 0.0018932243 0.0018387692 0.0019876133 0.0003830013 0.00041748956 0.000464684 0.0011544493 0.00043564127 0.0012597293 0.0021001538 0.018413104 0.0036702775 0.00432737 0.0032455274 0.006705245 0.0055762082 0.0037864486 0.004456247 0.009607705 0.0015701237 0.0033871108 0.0024650034 0.0057486496 0.0027209427 0.0046595465 0.008879821 0.029912218 0.01520025 0.012668085 0.009627672 0.011515451 0.010179484 0.01883604 0.009545989 0.018213436 0.008634773 0.014069398 0.008275369 0.014759163 0.008351606 0.013837055 0.015704868 555.0 12.645045 7018.0 0.060986035 0.0028498147 0.004844685 0.002707324 0.0039897407 0.0019948704 0.002707324 0.007124537 0.0052721575 0.0028498147 0.0031347962 0.0028498147 0.004844685 0.0029923054 0.006839555 0.0031347962 0.009119407 0.008549444 0.006127102 0.008406954 0.011114278 0.0074095186 0.00384725 0.006982046 0.0064120833 0.004987176 0.009261898 0.006982046 0.007836991 0.009974352 0.009831861 0.011114278 0.005984611 0.008264462 0.0045597036 0.009119407 0.005984611 0.007836991 0.005414648 0.007552009 0.0066970647 0.008406954 0.0025648333 0.0029923054 0.008691935 0.0064120833 0.006127102 0.005414648 0.01367911 0.0039897407 0.0064120833 0.017811343 0.00968937 0.0051296665 0.0056996294 0.007552009 0.004132231 0.0044172127 0.0034197776 0.0029923054 0.0034197776 0.004274722 0.0034197776 0.006982046 0.008549444 0.031490453 0.007552009 0.03092049 0.021516101 0.062553436 0.0058421204 0.016386434 0.009261898 0.040039897 0.0031347962 0.0034197776 0.023225991 0.011399259 0.024223426 0.03505272 0.017098889 0.002707324 0.046736963 0.02892562 0.056568824 0.017098889 0.008121972 0.004274722 0.006127102 0.009261898 0.0044172127 0.0017098888 0.002137361 0.0024223425 0.002707324 0.0029923054 5.9390154 1.0 0.0 0.0 3.0 276992.0 348160.0 1.0 0.0 87.0 1.0 1.0 0.0 0.0 0.0 1320759900.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 79872.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 18432.0 0.0 0.0 0.0 0.0 0.0 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 -79872.0 0.0 167936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.167247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.005216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6405544 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.27264 0.0 3.1566517 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5782.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 18184.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -63716.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -79644.0 0.0 167784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 60.0 102060.0 167784.0 172032.0 0.0 0.0 0.0 0.0 2840.0 339968.0 28.0 86432.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 101136.0 0.0 0.0 356.0 86016.0 0.0 0.0 0.0 0.0


Input: 0.22800712 0.013567862 0.008355677 0.003917807 0.0068995007 0.013371394 0.0017797707 0.024038462 0.004391642 0.0018606693 0.0024616309 0.0011788092 0.0061482987 0.0021264793 0.003651997 0.011614737 0.005524223 0.0024963017 0.0026234284 0.0015139608 0.0033515163 0.0076275887 0.0011556953 0.0009014423 0.007361779 0.00048539203 0.0008552145 0.0005431768 0.0018375554 0.0013290496 0.000739645 0.000739645 0.0103434725 0.0008783284 0.0010632396 0.00084365753 0.0072115385 0.002704327 0.0027158838 0.0006471893 0.0017682138 0.0010632396 0.0010401257 0.0021842641 0.0011788092 0.0014099482 0.0025194157 0.0010054549 0.00807831 0.006090514 0.003686668 0.0045649963 0.0037560095 0.0038369084 0.00295858 0.0028198964 0.003432415 0.004414756 0.0045418823 0.0057669193 0.0047383504 0.007419564 0.0025309727 0.0032128328 0.0051775146 0.01660734 0.02613027 0.0014099482 0.0033052885 0.009210891 0.001964682 0.0010979105 0.0022882766 0.0014099482 0.00075120194 0.0005662907 0.0014908469 0.00080898666 0.000982341 0.0007858728 0.0062176404 0.0028314535 0.00242696 0.0027736686 0.0023807322 0.0023922892 0.002149593 0.0022998336 0.00147929 0.0043107434 0.0026234284 0.004299186 0.0010054549 0.0018837833 0.0030394786 0.0031203772 0.0013868343 0.002681213 0.00069341715 0.0017797707 0.0022420487 0.0047961352 0.0032475037 0.000982341 0.0019300111 0.0035826552 0.0031088202 0.0023460614 0.002207378 0.0032012758 0.0044494267 0.0038022373 0.015775241 0.0017797707 0.0038022373 0.003698225 0.010008321 0.0072462093 0.0010401257 0.0013174926 0.0017682138 0.0013059357 0.0011441383 0.0014908469 0.0016295303 0.0010979105 0.00094767014 0.0008783284 0.010297244 0.0023922892 0.0012597078 0.012851331 0.007095969 0.006818602 0.00045072116 0.00035826553 0.0037791235 0.017346986 0.0035595414 0.013787445 0.001456176 0.0055473372 0.0005431768 0.000728088 0.0024963017 0.00030048078 0.0009592271 0.0002658099 0.0009014423 0.0004160503 0.00030048078 0.00020802514 0.0011210244 0.0016988721 0.0005085059 0.0002658099 0.00057784765 0.0004160503 0.00035826553 0.00032359466 0.0014330621 0.006830159 0.00055473374 0.0019068972 0.0011556953 0.00057784765 0.00023113906 0.00023113906 0.001225037 0.00028892382 0.00030048078 0.00038137945 0.0007049741 0.00033515162 0.0004391642 0.00057784765 0.0010632396 0.0005431768 0.00032359466 0.00033515162 0.0007627589 0.0004160503 0.0011788092 0.00027736687 0.005778476 0.0009361132 0.0028314535 0.0013406065 0.00057784765 0.0006471893 0.00067030324 0.00045072116 0.0064256657 0.0048423633 0.0026465422 0.0062407544 0.0032590607 0.00057784765 0.0023345044 0.0062291976 0.0032012758 0.0015139608 0.0008321006 0.00055473374 0.0020455807 0.00057784765 0.0004622781 0.00052006287 0.00269277 0.0008321006 0.0018028846 0.000728088 0.0006587463 0.00055473374 0.0007627589 0.00077431585 0.0015024039 0.0007049741 0.0009938979 0.0011094675 0.00060096156 0.00033515162 0.00038137945 0.0005316198 0.003940921 0.0008205436 0.001444619 0.000739645 0.0007858728 0.0007049741 0.0005894046 0.0003698225 0.0107941935 0.010955991 0.0004391642 0.004680566 0.0025656435 0.0007627589 0.00034670858 0.00038137945 0.0032243899 0.000739645 0.0005894046 0.00088988536 0.002195821 0.0013521635 0.0025540865 0.0013290496 0.0049694898 0.0007858728 0.001456176 0.00088988536 0.0029932507 0.0010632396 0.0022420487 0.04100407 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011489317 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000188253 0.0 0.0 0.0 0.0 0.0003706231 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010489223 2.9414534e-05 8.82436e-05 0.00010589232 0.000188253 0.00010000941 0.00041180346 0.0001764872 5.8829064e-06 5.8829064e-06 4.706325e-05 5.8829064e-06 5.8829064e-06 0.0 1.1765813e-05 0.000376506 0.009936229 0.0003470915 0.00020590173 0.00020001883 0.0001823701 0.00038238894 0.0002882624 0.00012942395 2.9414534e-05 5.8829064e-06 0.00010000941 5.8829064e-06 0.0 2.3531626e-05 1.1765813e-05 0.00020001883 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.017760495 0.0006235881 0.00015883848 0.000694183 0.00022943335 0.0003529744 0.0006706514 8.82436e-05 5.8829068e-05 0.00071183173 0.00032355986 4.1180345e-05 0.000753012 8.236069e-05 0.00010000941 0.0014471951 0.0069771274 0.000376506 0.0001764872 0.000441218 7.059488e-05 0.00013530685 6.4711974e-05 0.00014707267 0.0002588479 3.529744e-05 1.1765813e-05 8.82436e-05 0.00015883848 1.764872e-05 3.529744e-05 0.0030532286 0.005488752 5.8829064e-06 0.0013589514 0.0003353257 0.0003353257 0.0002647308 0.0026590738 0.001511907 2.3531626e-05 0.0 1.1765813e-05 5.8829064e-06 0.0 2.3531626e-05 1.1765813e-05 1.1765813e-05 0.014001317 0.0005529932 0.0028767413 0.0012942394 0.0014118976 0.00065300264 0.0051240115 0.0025884788 0.00082948984 0.00077066076 0.00014118975 0.000117658135 0.0010942207 0.00015295557 0.00064123684 0.0038944841 0.007800734 0.0007177146 0.0016236822 0.0037179969 0.0013295369 0.00074712915 0.003841538 0.0019766567 0.0002823795 0.00020590173 0.00015883848 0.00030002824 0.00023531627 0.0002588479 0.000252965 0.0006471197 0.012295275 0.0042533414 0.0029355704 0.040956795 0.0037474115 0.0026708397 0.0044239457 0.0032650132 0.0025296498 0.002647308 0.0025531815 0.0025649474 0.002641425 0.0026296594 0.0027473173 0.003523861 0.11438724 0.0133365495 0.009089091 0.010730422 0.034356173 0.007836032 0.0114128385 0.021631448 0.027661428 0.0033003106 0.008694936 0.0065064947 0.011230469 0.003017931 0.01680158 0.013260071 0.09877989 0.016654508 0.016295651 0.01139519 0.027396696 0.02748494 0.009600904 0.019137096 0.04873988 0.0028061464 0.004465126 0.0070771365 0.023125706 0.0070889024 0.01728398 0.036162227 0.015977975 0.0027237858 0.004018025 0.0030473457 0.0055828784 0.0050887144 0.0032297156 0.004600433 0.009412651 0.00079419237 0.0007765437 0.0016883942 0.0037532945 0.0019354763 0.0031355892 0.0065241433 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 546.0 14.589744 7966.0 0.06251569 0.0025106703 0.0013808687 0.0022596032 0.004142606 0.009415014 0.0020085364 0.0030128043 0.0030128043 0.0027617374 0.0017574693 0.0020085364 0.0030128043 0.003389405 0.0066532763 0.0012553352 0.052221943 0.01355762 0.017700225 0.014185287 0.01606829 0.014310821 0.015942756 0.012553352 0.013432086 0.013432086 0.014185287 0.01569169 0.014185287 0.01569169 0.010670349 0.0150640225 0.0030128043 0.007280944 0.003891539 0.0076575447 0.0046447404 0.0071554105 0.0052724076 0.005523475 0.0061511425 0.004770274 0.0010042682 0.0018830028 0.0061511425 0.004770274 0.0046447404 0.0048958072 0.004142606 0.0071554105 0.007280944 0.012804419 0.0071554105 0.00677881 0.007280944 0.010795883 0.0026362038 0.011423551 0.007280944 0.009289481 0.0013808687 0.008787346 0.009540548 0.01744916 0.002385137 0.024479035 0.004142606 0.01569169 0.017198091 0.047828272 0.0057745418 0.008661813 0.0076575447 0.031132312 0.0025106703 0.003389405 0.017574692 0.007029877 0.030128045 0.030504644 0.011298017 0.0013808687 0.02422797 0.024353502 0.03991966 0.014812955 0.0048958072 0.006527743 0.0097916145 0.0061511425 0.0015064022 0.0016319357 0.0025106703 0.0011298016 0.0017574693 0.0021340698 5.9917316 0.0 0.0 0.0 1.0 86528.0 1814528.0 0.0 0.0 73.0 0.0 0.0 0.0 0.0 0.0 1499264900.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 18.0 1.0 11.0 4.0 0.0 65024.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2048.0 6144.0 0.0 0.0 0.0 0.0 0.0 -65024.0 0.0 0.0 0.0 0.0 0.0 -6.6923847 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.8142068 -5.225299 3.4995694 0.0 0.0 0.0 0.0 0.0 -6.2485666 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1729192.0 -1933.0 0.0 0.0 0.0 0.0 0.0 0.0 -64874.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 -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 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1933.0 69632.0 6144.0 1814528.0 0.0 0.0 0.0 0.0 7256.0 1806336.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.56987846 0.014756944 0.003689236 0.0028211805 0.002170139 0.00086805556 0.0023871528 0.0013020834 0.0028211805 0.00086805556 0.0015190972 0.00043402778 0.0017361111 0.0006510417 0.0010850695 0.0 0.001953125 0.00021701389 0.0 0.001953125 0.0010850695 0.00043402778 0.00043402778 0.0 0.00043402778 0.0010850695 0.0006510417 0.00021701389 0.00021701389 0.0 0.0 0.001953125 0.007595486 0.00086805556 0.0 0.0023871528 0.00086805556 0.00043402778 0.00021701389 0.0010850695 0.00021701389 0.00043402778 0.0 0.00043402778 0.002170139 0.0015190972 0.016927084 0.0 0.008246528 0.0015190972 0.0015190972 0.0013020834 0.0017361111 0.0013020834 0.0006510417 0.0015190972 0.0013020834 0.0013020834 0.0 0.00021701389 0.001953125 0.0013020834 0.0006510417 0.00021701389 0.0023871528 0.008029514 0.0030381945 0.0023871528 0.0026041667 0.0047743055 0.0017361111 0.00043402778 0.0010850695 0.0013020834 0.00021701389 0.00043402778 0.00086805556 0.0010850695 0.0010850695 0.0010850695 0.0028211805 0.00043402778 0.0032552083 0.009114583 0.0069444445 0.0006510417 0.002170139 0.0 0.0006510417 0.0006510417 0.00021701389 0.0 0.00021701389 0.0 0.0 0.00086805556 0.0010850695 0.007595486 0.005642361 0.0069444445 0.0032552083 0.031684026 0.0010850695 0.001953125 0.001953125 0.014756944 0.0 0.0006510417 0.014105903 0.008463542 0.012369792 0.017144097 0.0069444445 0.0 0.023654513 0.019097222 0.026692709 0.009548611 0.00043402778 0.00021701389 0.0026041667 0.007378472 0.00021701389 0.0 0.00043402778 0.0 0.00021701389 0.00021701389 0.0017361111 0.00086805556 0.0 0.00021701389 0.0 0.0006510417 0.0 0.0 0.0 0.00021701389 0.00043402778 0.0 0.0 0.0 0.0 0.0 0.00043402778 0.00086805556 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00021701389 0.0 0.0 0.0 0.0006510417 0.0 0.0006510417 0.0 0.0010850695 0.00043402778 0.0006510417 0.00043402778 0.0010850695 0.0 0.0010850695 0.00043402778 0.0 0.00021701389 0.00043402778 0.00021701389 0.0 0.00021701389 0.0006510417 0.0013020834 0.00043402778 0.00021701389 0.00021701389 0.0 0.00021701389 0.0006510417 0.0 0.0 0.0 0.00021701389 0.0 0.00021701389 0.0 0.0 0.00043402778 0.00043402778 0.00021701389 0.00043402778 0.0 0.0 0.0006510417 0.00043402778 0.0 0.0 0.0 0.00043402778 0.0 0.00021701389 0.0 0.00021701389 0.00021701389 0.0065104165 0.001953125 0.0 0.0 0.00043402778 0.0 0.0 0.00021701389 0.0006510417 0.0 0.0 0.0 0.00043402778 0.0 0.0 0.0 0.0 0.0 0.0 0.00021701389 0.0 0.00021701389 0.0 0.0006510417 0.0006510417 0.0 0.0 0.00043402778 0.0 0.0 0.0 0.00021701389 0.00021701389 0.0 0.00043402778 0.0 0.0 0.0 0.00043402778 0.00086805556 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.20377605 0.0024414062 0.010579427 0.0068359375 0.013834636 0.009114583 0.045898438 0.03548177 0.0006510417 0.00032552084 0.00032552084 0.0009765625 0.00048828125 0.00081380206 0.0006510417 0.0011393229 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.34277344 0.011067708 0.027994791 0.020507812 0.023111979 0.022135416 0.10042318 0.08089193 0.0043945312 0.0011393229 0.007975261 0.0047200522 0.002766927 0.012207031 0.0017903646 0.002766927 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36.0 25.833334 930.0 0.019354839 0.0010752688 0.0 0.005376344 0.0 0.0 0.0 0.0 0.0 0.0010752688 0.0 0.0 0.008602151 0.005376344 0.047311828 0.0 0.016129032 0.0032258064 0.005376344 0.0021505377 0.0021505377 0.005376344 0.0021505377 0.006451613 0.0032258064 0.0043010754 0.0 0.0 0.0010752688 0.006451613 0.0010752688 0.0 0.0010752688 0.029032258 0.0032258064 0.008602151 0.008602151 0.017204301 0.0021505377 0.0010752688 0.0010752688 0.0010752688 0.0 0.0021505377 0.0 0.0032258064 0.0 0.0021505377 0.009677419 0.0 0.013978494 0.022580646 0.012903226 0.0021505377 0.0032258064 0.0 0.0 0.0032258064 0.0 0.0 0.0 0.0 0.0 0.0010752688 0.0010752688 0.022580646 0.024731183 0.029032258 0.010752688 0.103225805 0.0010752688 0.0043010754 0.0032258064 0.04408602 0.0 0.0032258064 0.040860213 0.031182796 0.031182796 0.04623656 0.012903226 0.0 0.07956989 0.068817206 0.07849462 0.034408603 0.0010752688 0.0 0.0032258064 0.027956989 0.0 0.0 0.0 0.0 0.0 0.0 4.973771 0.0 0.0 0.0 1.0 4608.0 32768.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1299530200.0 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 8.0 0.0 4.0 0.0 4.0 0.0 2560.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.96447 0.0 3.175729 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2068.0 0.0 984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 10168.0 984.0 16384.0 0.0 0.0 0.0 0.0 12.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.06035439 0.0052544093 0.0036009443 0.0038600261 0.003373884 0.0029721619 0.0040143104 0.0034583039 0.004907997 0.0031963112 0.004349079 0.0031264464 0.0040958193 0.004049243 0.0033476846 0.0034553928 0.0032225105 0.0031060693 0.0036882753 0.0034088164 0.0034932361 0.0041249297 0.0031235353 0.003088603 0.003865848 0.003068226 0.0028324323 0.0034670369 0.0031031582 0.0028615426 0.0028702759 0.0038047165 0.0033505957 0.0036387877 0.0034553928 0.0037756062 0.0028382544 0.0034961472 0.0029546956 0.0034757701 0.0039036914 0.0032690868 0.0035398128 0.0029372294 0.0035165246 0.003385528 0.0033971723 0.0037988944 0.003286553 0.0033418627 0.0048788865 0.0032341545 0.0035194354 0.0029284963 0.0034495709 0.003461215 0.0038250936 0.003583478 0.0029314074 0.0030740479 0.0029779838 0.0047071357 0.003271998 0.0033011083 0.005889014 0.0040841755 0.0034291935 0.0042937696 0.0048730643 0.012552362 0.0032312435 0.0040259548 0.0036853643 0.0039095134 0.0030187382 0.0033971723 0.0031206245 0.0045120968 0.0044771642 0.0051205023 0.0047653564 0.0042064385 0.004442232 0.0040987306 0.003481592 0.0036737202 0.0036737202 0.002989628 0.0040288656 0.0029488737 0.0031584678 0.0029808949 0.0028644537 0.0037261187 0.0030944252 0.0031410016 0.0032137774 0.0031264464 0.003469948 0.003953179 0.0043869223 0.003851293 0.00443641 0.0029808949 0.003857115 0.00420935 0.004159862 0.0037464958 0.0040899976 0.0031089801 0.0040899976 0.0036999194 0.003918247 0.0028149663 0.0031439126 0.003953179 0.003857115 0.0042821253 0.0033302186 0.0029343185 0.0035310795 0.0028586315 0.0038367377 0.0034583039 0.0037843392 0.004331613 0.004168595 0.0040929085 0.0054610926 0.0045062746 0.0039939336 0.0044014775 0.0031380905 0.004127841 0.003854204 0.003472859 0.0032603538 0.0039473567 0.003577656 0.0061073415 0.0029081192 0.0041161967 0.004445143 0.00288192 0.0040288656 0.0027567456 0.0043927445 0.0031468237 0.0035572788 0.0034233716 0.0034495709 0.0029168522 0.0037930724 0.0029139412 0.0029430515 0.0042821253 0.0034583039 0.0029430515 0.0028295214 0.0039386237 0.0030594927 0.0042879474 0.0028353434 0.0051554344 0.003388439 0.0029401404 0.0037115635 0.0037552288 0.0034262824 0.0029663397 0.0033564179 0.0028586315 0.003554368 0.0032312435 0.002809144 0.0032283324 0.0035107024 0.0027247244 0.00288192 0.0028440766 0.0033535068 0.0032108664 0.0034117275 0.0034088164 0.0032603538 0.0034059053 0.0039124247 0.0035456347 0.0031439126 0.003286553 0.0031235353 0.0041802395 0.003097336 0.0035922113 0.0041947947 0.0037377628 0.003865848 0.0029168522 0.010753346 0.0042559262 0.0039007803 0.0030478486 0.0028702759 0.0042617484 0.006581839 0.0033535068 0.003761051 0.00307987 0.0042966804 0.004057976 0.0031497346 0.0028295214 0.0034175494 0.0036446098 0.0035514568 0.0033971723 0.0034990583 0.0040987306 0.003464126 0.0033418627 0.003961912 0.0034990583 0.0043840115 0.0033418627 0.0032050442 0.0033098413 0.0030158272 0.003088603 0.002992539 0.0032923752 0.0035252576 0.0040259548 0.005405783 0.0034932361 0.003295286 0.0047478904 0.0037348517 0.003874581 0.0035136135 0.0029052082 0.0035310795 0.0032108664 0.0031002471 0.0032428876 0.0037086525 0.0042239046 0.003286553 0.0034059053 0.004433499 0.003941535 0.003004183 0.003763962 0.004159862 0.0035136135 0.0032690868 0.0062063164 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 0.0546568 0.05015701 0.051865995 0.053769413 0.0526452 0.050319284 0.054346874 0.055254724 0.053867362 0.05180898 0.05238936 0.05119205 0.05381912 0.055355597 0.05243322 0.05043039 1701.0 7.5937686 12917.0 0.007354649 0.0059611364 0.005651467 0.0052643805 0.0053417976 0.0063482234 0.005109546 0.0052643805 0.006115971 0.0052643805 0.017031819 0.004645041 0.017109236 0.005032128 0.006115971 0.015560889 0.005419215 0.016644731 0.028876673 0.007973988 0.004954711 0.0048772935 0.00557405 0.0059611364 0.0057288846 0.006115971 0.006115971 0.00557405 0.00410312 0.0058837193 0.016567314 0.01610281 0.0058063017 0.030270187 0.005419215 0.0059611364 0.05682434 0.006270806 0.0057288846 0.03274754 0.00557405 0.031199194 0.0052643805 0.004722459 0.0057288846 0.0072772317 0.030037934 0.016799567 0.032128204 0.0063482234 0.02841217 0.006270806 0.016876984 0.0047998764 0.0058063017 0.006503058 0.030812109 0.0061933887 0.005186963 0.005032128 0.004722459 0.0047998764 0.0054966323 0.008593326 0.005419215 0.008748162 0.0058837193 0.007122397 0.02167686 0.015251219 0.0064256405 0.00820624 0.00557405 0.008748162 0.0061933887 0.016722148 0.008902996 0.008515909 0.020825269 0.008902996 0.0058837193 0.004722459 0.008825579 0.008593326 0.011612603 0.02926376 0.004954711 0.0053417976 0.00557405 0.0053417976 0.0054966323 0.0048772935 0.004954711 0.017186653 0.005651467 0.0053417976 6.186592 0.0 0.0 0.0 9.0 343521.0 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: 0.20167817 0.018444924 0.0032799258 0.0030795895 0.0035781008 0.0014722394 0.0011274745 0.001635304 0.0036619627 0.0011228155 0.0012113362 0.00091782014 0.0024552853 0.0011694054 0.00087588927 0.0028419811 0.0058703218 0.0028326632 0.0016306449 0.0010109999 0.0034616264 0.0046077366 0.00052646536 0.0005497603 0.0008432764 0.00062896305 0.0004845345 0.000978387 0.0010902026 0.00052180636 0.0004985115 0.00057771424 0.0099748885 0.00057771424 0.002310857 0.0004891935 0.000955092 0.00061964506 0.00057771424 0.0004845345 0.0010389538 0.00039135478 0.0006149861 0.00096441 0.0008572533 0.00042862666 0.001262585 0.0004845345 0.0026183499 0.00046589854 0.0006056681 0.0043654693 0.0007687326 0.0010669077 0.00044260363 0.003205382 0.00053578336 0.0016632578 0.0004472626 0.0012998569 0.0017750735 0.0011880413 0.00034476494 0.0010296358 0.002254949 0.0008339584 0.000978387 0.0015188293 0.15841483 0.0032939028 0.0047801193 0.0010669077 0.0014256496 0.0016585989 0.00043328566 0.00038203681 0.002930502 0.0016679168 0.00082464045 0.00064294 0.006774165 0.0013790597 0.0010249768 0.002930502 0.0013324699 0.0020452947 0.002315516 0.0031914052 0.00057771424 0.001271903 0.00039135478 0.00067089393 0.0008386174 0.0011088386 0.007058363 0.000978387 0.00073146075 0.0036153728 0.00092247914 0.0033125388 0.006965183 0.008670372 0.020280564 0.0062756534 0.0057025985 0.004169792 0.00257176 0.0007500967 0.02369094 0.0014908754 0.0062523587 0.0059541836 0.0019893867 0.00040999072 0.00491523 0.0029631148 0.009234109 0.0062290635 0.0061358837 0.0034336722 0.00128588 0.0013790597 0.000647599 0.0004239677 0.000978387 0.0010529307 0.00046589854 0.0008525944 0.003526852 0.00081998145 0.0005078294 0.0021431334 0.0013324699 0.0054184003 0.00077805057 0.00046589854 0.000959751 0.0035920779 0.00028885712 0.007803801 0.0008665713 0.0046356907 0.0005823732 0.00037737782 0.00046589854 0.00034010594 0.000326129 0.0019987049 0.0004938525 0.00039601378 0.00034010594 0.00032147 0.0007966865 0.0030376585 0.0006010091 0.00026090318 0.0005031704 0.0005963502 0.00027953912 0.00023294927 0.00071748375 0.0020732486 0.003899571 0.0005124884 0.00052646536 0.0004193087 0.00026090318 0.000326129 0.00075475563 0.0003494239 0.00039601378 0.00078736857 0.0005124884 0.0003540829 0.00030283406 0.0002236313 0.0006848709 0.00034010594 0.00026556218 0.00031215203 0.00056839624 0.0012998569 0.0003866958 0.0005451013 0.000969069 0.0004519216 0.00038203681 0.0006941889 0.00057305524 0.0008525944 0.0006010091 0.0008386174 0.004253654 0.0005544193 0.0009830459 0.0011461105 0.0029351609 0.0002236313 0.022004388 0.0018402993 0.0008665713 0.0009457741 0.00046589854 0.00043328566 0.12224712 0.0002981751 0.000647599 0.0003494239 0.0009364561 0.0005497603 0.00033544697 0.0007361197 0.0008479354 0.00030283406 0.0013138339 0.0011321335 0.0014349675 0.00036805985 0.0006103271 0.00078270957 0.0005963502 0.0010948617 0.00040533175 0.00033544697 0.0012392901 0.00032147 0.00034476494 0.00033078797 0.0010296358 0.00026556218 0.0004519216 0.000647599 0.0034243544 0.00096441 0.0003494239 0.0017378016 0.0027115296 0.00035874188 0.0006010091 0.00073146075 0.0018635942 0.00057771424 0.00035874188 0.000987705 0.0013324699 0.00037737782 0.000969069 0.0015141703 0.0021617692 0.0008432764 0.00065691693 0.0011927004 0.002581078 0.0028373222 0.0016818938 0.046035435 0.014261099 0.0 0.0 2.347506e-06 4.695012e-06 4.695012e-06 7.277269e-05 7.042518e-06 9.390024e-06 2.347506e-06 1.8780049e-05 1.173753e-05 1.8780049e-05 7.042518e-06 0.0 2.347506e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008805495 4.4602613e-05 5.6340145e-05 3.7560098e-05 4.9297625e-05 6.1035156e-05 6.573017e-05 3.7560098e-05 0.00018780048 2.8170072e-05 3.7560098e-05 4.225511e-05 3.2865086e-05 6.1035156e-05 3.0517578e-05 3.7560098e-05 0.0042231632 2.8170072e-05 3.521259e-05 2.5822566e-05 4.4602613e-05 4.225511e-05 4.4602613e-05 2.8170072e-05 0.00018075797 1.6432543e-05 1.6432543e-05 1.8780049e-05 2.347506e-05 3.7560098e-05 1.4085036e-05 2.8170072e-05 0.0039414624 4.695012e-06 1.4085036e-05 2.5822566e-05 0.00012207031 8.920523e-05 0.0003075233 0.00013380784 2.1127555e-05 9.390024e-06 3.7560098e-05 2.8170072e-05 2.8170072e-05 1.4085036e-05 9.390024e-06 2.1127555e-05 0.0023897612 0.0 0.0 0.0 0.055370625 0.0 0.006746732 0.0 0.0 0.0 0.0 0.0 0.03645442 0.0 0.0 0.0 0.008096548 5.6340145e-05 0.00024414062 0.00014789288 0.0753479 4.9297625e-05 0.02948937 0.0018498347 0.00025118314 2.8170072e-05 4.695012e-05 2.8170072e-05 0.071732745 3.2865086e-05 2.8170072e-05 7.042518e-05 0.034860466 0.00011268029 0.004258376 0.00021597055 0.03153405 0.00036386342 0.023207445 0.010751577 0.00047419622 7.042518e-06 9.624775e-05 3.7560098e-05 0.027724046 9.390024e-06 7.98152e-05 0.00088266225 0.041248027 0.0010962853 0.004025973 0.0004601112 0.0022629958 0.001767672 0.013622577 0.0077538122 0.00058687653 5.6340145e-05 2.8170072e-05 6.573017e-05 0.00015258789 7.277269e-05 0.00010094276 0.0036222017 0.014965351 0.00039907603 0.0012864333 0.0006361741 0.0038264347 0.001563439 0.00801908 0.0042513334 0.0003145658 0.0001150278 0.0002347506 0.00014554537 0.00096951996 0.00014554537 0.00019014798 0.0013991136 0.0062279333 0.0010915903 0.00041785606 0.0016573393 0.0018944374 0.0019249549 0.0013122559 0.0008873573 0.00022770808 0.00036855845 0.00014319786 0.00020892803 0.0012676532 0.0005258414 0.00018075797 0.00089439977 0.009728065 0.0005610539 0.00046245867 0.0011432355 0.0010563777 0.0010728103 0.0024390589 0.0012864333 0.00046245867 0.0006690392 0.00020892803 0.00022066556 0.001767672 0.00044133113 0.0003568209 0.002162053 0.024932861 0.003446139 0.002129188 0.0053100586 0.0028850848 0.006615272 0.004486084 0.0028709997 0.0031879132 0.0028545673 0.00087092473 0.0014272836 0.0039954553 0.0023357684 0.0017301119 0.007845365 0.057840202 0.01487145 0.006695087 0.009256216 0.007446289 0.016193096 0.008774977 0.009305513 0.021946834 0.0056387093 0.008946345 0.005943885 0.012775128 0.0061974158 0.009627122 0.038926344 0.014317439 0.0045447717 0.0020634579 0.002866305 0.0024296688 0.004248986 0.0023357684 0.003108098 0.006500244 0.001206618 0.0017934946 0.0016315167 0.0044320915 0.0019930326 0.0032653809 0.0105708195 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1755.0 29.725925 52169.0 0.0032778087 0.00023002166 0.0014568039 0.00036420097 0.00038336942 0.00011501083 0.00011501083 0.00015334778 0.00019168471 0.00011501083 0.00055588566 0.00024919014 0.00038336942 0.00030669555 0.0010542659 0.00028752707 0.0005367172 0.0004025379 0.0008817497 0.0008242443 0.00023002166 0.00017251624 0.00030669555 0.0079740845 0.0002683586 0.0002683586 0.00028752707 3.8336944e-05 0.004178727 0.0005942226 0.00024919014 0.00021085319 0.00042170638 0.0009967606 0.0016868255 0.0018210048 0.6423738 0.00092008663 0.015794821 0.0028369338 0.0011692768 0.0009775921 0.0004025379 0.0003450325 0.00877916 0.00086258125 0.0004792118 0.0004025379 0.0014568039 0.0006325596 0.00072840194 0.0019360157 0.0011692768 0.0004983803 0.0009392551 0.0027027545 0.00017251624 0.0002683586 0.00015334778 0.00021085319 0.0002683586 0.0001341793 0.022522954 0.00024919014 0.00017251624 0.003450325 0.0009584236 0.002281048 0.02031858 0.008836665 0.06889149 0.016082348 0.0016293201 0.0032969771 0.00057505415 0.00046004332 0.085568056 0.0012459507 0.0035461672 0.0040828846 0.0011884453 0.00011501083 0.0039678738 0.0032969771 0.0070923343 0.0012842877 0.01619736 0.0010734344 0.0014568039 0.0012267822 0.00015334778 0.00011501083 0.00015334778 0.00021085319 7.667389e-05 1.9168472e-05 2.4708672 0.0 0.0 0.0 1.0 214639.0 229376.0 1.0 0.0 197.0 0.0 1.0 0.0 0.0 0.0 1091599100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 7.0 10.0 5.0 1.0 4.0 0.0 61952.0 1024.0 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 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61952.0 0.0 146432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.44377568 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.253048 0.0 4.522516 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61754.0 0.0 146152.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 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 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 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 2.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 -1.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 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 -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 2.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 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 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 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 1.0 0.0 -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 -1.0 2.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 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 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 1.0 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 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 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 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 -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 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 -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 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 61412.0 146152.0 81920.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4928.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 11176.0 204.0 600.0 824.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.019249316 0.004773409 0.0040386734 0.0040163654 0.0039527644 0.003935203 0.0044041425 0.003869703 0.0041511618 0.0041207853 0.004287382 0.003924286 0.004509037 0.003928558 0.0045489063 0.003774776 0.0038089498 0.0043001976 0.0039774454 0.0040552854 0.0039019783 0.0036974105 0.00401067 0.00394517 0.0038716015 0.003799457 0.00392571 0.0037173452 0.0037970839 0.0038753988 0.0038065766 0.0038820435 0.0059789834 0.0037728774 0.0037638594 0.0037828449 0.0037738266 0.0037652832 0.0038564133 0.003765758 0.0042736176 0.0037220914 0.0040111444 0.003869703 0.0038303083 0.0038507176 0.0038473953 0.0038777718 0.0038473953 0.0039366265 0.0037263632 0.0038597358 0.003807051 0.0036504215 0.0038768225 0.003694088 0.0049684844 0.00392571 0.003933779 0.0037572144 0.0037391784 0.0037752506 0.0037719281 0.00372399 0.0037676564 0.0037771491 0.0037999316 0.0038625835 0.0038117976 0.0037144972 0.003812272 0.0037752506 0.0037491457 0.0038193916 0.0038265113 0.0037880659 0.003751519 0.0037771491 0.0037035807 0.0037956599 0.003864482 0.0036831712 0.0037249392 0.0038004064 0.0037040552 0.0037719281 0.0036831712 0.0037776239 0.0039693764 0.003959409 0.003753892 0.0037472472 0.0036864937 0.0038521416 0.0037600622 0.0037894896 0.0036883922 0.0038326816 0.0038080004 0.0037662326 0.0038806198 0.0040424704 0.0038075258 0.0036860192 0.0037387037 0.003833156 0.0037197182 0.003774776 0.003838377 0.003812272 0.0039783944 0.0039356775 0.0037738266 0.0038250873 0.003990735 0.0037875911 0.0040021264 0.003902453 0.0038146453 0.0037159212 0.0037173452 0.003848819 0.003753892 0.0037453487 0.0037700296 0.0036489975 0.0038023049 0.0037477217 0.003880145 0.0037268377 0.0037173452 0.0037353812 0.003730635 0.0037363304 0.005257537 0.0037296857 0.0037211422 0.0036807982 0.0037875911 0.003830783 0.0037168704 0.0037197182 0.0037776239 0.003703106 0.003690291 0.0038369533 0.0037088017 0.0039200145 0.0037614862 0.0036883922 0.0037652832 0.0036656098 0.0037923374 0.0038393263 0.0038507176 0.0037249392 0.0041919807 0.003713548 0.0038108483 0.0037439247 0.0036765265 0.0037192437 0.0038379026 0.00374345 0.0037282617 0.0037776239 0.0037700296 0.0037401277 0.0037282617 0.0038141706 0.0036603888 0.0037690804 0.003759113 0.0037368052 0.0037069032 0.0037235154 0.003699309 0.0037472472 0.003755316 0.003744874 0.0037315842 0.0037320587 0.0037320587 0.003694088 0.0037182944 0.00381512 0.0037258884 0.0037524682 0.0037059537 0.0037178197 0.0037377544 0.0037387037 0.0036603888 0.0037481964 0.0055674743 0.0037600622 0.003827935 0.0037624354 0.0037795224 0.003738229 0.0038141706 0.0037472472 0.0037629101 0.0037785731 0.0037249392 0.0037690804 0.0036162478 0.003765758 0.0037861671 0.003694088 0.0037258884 0.003635233 0.0037178197 0.0037235154 0.0038013556 0.0037192437 0.003687443 0.0036295375 0.003769555 0.00380183 0.0037429754 0.0037368052 0.0037102255 0.0037249392 0.0037833194 0.0037159212 0.0037572144 0.0037624354 0.0037633847 0.0037287364 0.0036864937 0.0037975584 0.0038056273 0.0036921895 0.0037629101 0.0037823701 0.0037339574 0.0037956599 0.0037334827 0.0036855445 0.0037235154 0.0037107002 0.003692664 0.0037771491 0.0038132214 0.0037505697 0.003812272 0.0038212903 0.003881569 0.003820341 0.0037880659 0.0037595876 0.0037496204 0.0036527948 0.005163559 0.0062272176 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0003673984 3.9185994e-05 3.8948503e-05 4.2748356e-06 6.174763e-06 1.4249453e-06 9.024653e-06 4.2748356e-06 3.5623632e-06 1.1874544e-06 7.124726e-07 2.8498905e-06 9.499635e-07 2.3749088e-07 7.124726e-07 5.46229e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0016819104 0.000416559 0.0002108919 8.0271915e-05 4.892312e-05 5.0348066e-05 3.277374e-05 0.00012515769 3.8711012e-05 6.1035156e-05 2.1374179e-05 2.2799124e-05 2.5411524e-05 1.7336833e-05 1.8286797e-05 6.649744e-05 0.0051528397 0.0007136601 0.0009010404 0.00047545673 0.00019854237 0.00025672765 0.00045194515 0.00030612573 0.0010026864 0.000403972 6.436003e-05 6.887235e-05 0.0010665716 5.438541e-05 7.9084464e-05 0.0004768817 0.0083960155 0.0011285567 0.001717534 0.0009703877 0.00039447236 0.00055644114 0.0007860948 0.00051749265 0.00077303284 0.00052556733 0.00014985674 0.0001327574 0.0007941695 0.00015318162 0.0002892639 0.0016840479 0.0044914274 0.00071651 0.0010219233 0.0007419215 0.00022704128 0.00033771203 0.0004011221 0.0003312998 0.0003852102 0.00028071422 8.85841e-05 9.7608754e-05 0.00035053655 0.00024319066 0.00033177476 0.001626575 0.0014154457 0.00028237666 0.0003597987 0.0003745231 9.784624e-05 0.00013679474 0.00016814354 0.00012515769 9.547133e-05 7.409715e-05 5.98477e-05 0.00011922042 0.00012064537 9.452137e-05 0.00010188359 0.00075165863 0.00019735492 1.923676e-05 2.2799124e-05 1.6149379e-05 2.446156e-05 2.1136688e-05 3.301123e-05 2.3986579e-05 1.8761779e-05 1.7099343e-05 1.5674397e-05 1.638687e-05 1.3774471e-05 1.2112035e-05 1.3774471e-05 2.0661706e-05 0.00013394485 5.7235302e-05 2.184916e-05 1.9949233e-05 1.8524288e-05 1.7099343e-05 2.2324142e-05 2.6361487e-05 3.7286067e-05 1.7099343e-05 1.7574324e-05 1.8286797e-05 2.8498906e-05 1.638687e-05 1.6149379e-05 1.7811815e-05 0.059154466 0.05904142 0.05946107 0.059339233 0.059548937 0.059189614 0.0592193 0.059394334 0.05914069 0.059367497 0.05951664 0.059311923 0.059467003 0.059058756 0.059178926 0.059540153 9575.0 5.9170756 56656.0 0.01066083 0.009672409 0.00972536 0.0102725215 0.009743011 0.0092488 0.009548856 0.010043067 0.010007766 0.009142897 0.010131319 0.009231149 0.010978537 0.00970771 0.01018427 0.0110138375 0.010872635 0.010501977 0.009937164 0.010007766 0.009672409 0.0100254165 0.010696131 0.009019345 0.010254871 0.009672409 0.0095312055 0.009213499 0.010131319 0.009919514 0.009442954 0.009619458 0.008860491 0.010290172 0.010290172 0.010449026 0.009954815 0.009337052 0.010096018 0.008683988 0.010431375 0.010413725 0.009390003 0.009672409 0.00926645 0.010201921 0.009831263 0.0096547585 0.010254871 0.009478255 0.010043067 0.010978537 0.010290172 0.010360774 0.009760661 0.009601807 0.0092488 0.009425304 0.01018427 0.009619458 0.00972536 0.010254871 0.010060717 0.01016662 0.008772239 0.013184835 0.010819684 0.011543349 0.011296244 0.018868258 0.010731432 0.010131319 0.009990116 0.013308387 0.009301751 0.0092488 0.013308387 0.011525699 0.014032053 0.014420361 0.010802033 0.009072296 0.015108726 0.012849477 0.01712087 0.011596301 0.010325473 0.009954815 0.009813612 0.011066789 0.009178198 0.009372353 0.009937164 0.0099018635 0.00972536 0.009584157 6.569659 1.0 0.0 0.0 29.0 2106880.0 2138112.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1544634200.0 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 -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 6.0 0.0 4.0 0.0 4.0 0.0 2103296.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2103296.0 512.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.976242 6.880405 4.351976 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2103108.0 488.0 1272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 2111216.0 1272.0 2121728.0 0.0 0.0 0.0 0.0 12.0 2129920.0 28.0 2111135.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.24673656 0.015044007 0.010803996 0.008313143 0.012052512 0.0040607695 0.010352799 0.0028987837 0.0036528383 0.0012979629 0.015915496 0.001236155 0.002064379 0.0009271163 0.0017924248 0.00151429 0.0010260087 0.004888993 0.004159662 0.0028802413 0.0024908525 0.001347409 0.0061251484 0.0020458365 0.0033994264 0.00071696995 0.00072315073 0.0009951048 0.0024105024 0.00053154666 0.0042523732 0.0005068236 0.0026762758 0.0005006428 0.00040793116 0.0005253659 0.002144729 0.00067988527 0.00063661986 0.0004511966 0.010383703 0.0038197192 0.006156052 0.0042832773 0.0021941753 0.002806072 0.003850623 0.010470233 0.0027319028 0.0006242583 0.00063661986 0.0005809929 0.0035354034 0.00056863134 0.0005439082 0.0008282239 0.0005253659 0.0005130044 0.00060571596 0.0040793116 0.00071696995 0.00079732004 0.0007293315 0.00064280065 0.0011187203 0.0032016416 0.0027875297 0.0044625197 0.0019716674 0.0018851365 0.0061436906 0.0042832773 0.0038444423 0.006081883 0.0016811709 0.0005748121 0.010346618 0.0032634493 0.0014092168 0.00501879 0.0018233287 0.0006242583 0.0022621637 0.005717217 0.0028802413 0.0007849585 0.0032078223 0.00079113926 0.0013412283 0.0002966772 0.001569917 0.00040175038 0.00035848498 0.0005130044 0.00030903876 0.022998665 0.00079113926 0.039013054 0.004431616 0.00909192 0.02288123 0.040391367 0.0015266516 0.011650762 0.002645372 0.021305133 0.0024043217 0.002972953 0.014123072 0.008523289 0.039000694 0.02974189 0.017646113 0.0007293315 0.033048607 0.01673754 0.037813984 0.009172271 0.0077197882 0.0030594838 0.0012856013 0.0026762758 0.00032140032 0.00061189674 0.00031521954 0.00041411194 0.0058655557 0.00032140032 0.004091673 0.0026206488 0.0012052512 0.0005562698 0.00053772744 0.0019716674 0.0010939973 0.00061189674 0.00051918515 0.0007293315 0.0003275811 0.00080350076 0.00056245056 0.00048828125 0.0030718453 0.00043265428 0.00030285798 0.00310893 0.00019778482 0.00028431567 0.00031521954 0.0002534118 0.00020396558 0.00022250791 0.00024105023 0.0002781349 0.00018542325 0.0002966772 0.00022250791 0.00028431567 0.00019778482 0.00019778482 0.00044501582 0.00029049645 0.00022250791 0.00016070016 0.00030285798 0.00017306171 0.00021014636 0.00012979629 0.00020396558 0.0004511966 0.00021014636 0.00022868869 0.0002966772 0.00039556963 0.0001483386 0.00018542325 0.00019778482 0.00039556963 0.00021014636 0.00010507318 0.00029049645 0.00033376185 0.00019778482 0.0002781349 0.00040175038 0.00017924249 0.00032140032 0.00021014636 0.00015451938 0.00031521954 0.00018542325 0.00017306171 0.0004264735 0.00045737738 0.00015451938 9.271163e-05 0.00046973894 0.00016688093 0.0019840288 0.00033376185 0.00021014636 0.00015451938 0.000117434734 0.00021632714 0.0002534118 0.00021014636 0.00012361551 0.00022868869 0.00032140032 0.00019778482 9.271163e-05 0.0005809929 0.0002719541 0.000852947 0.00012979629 0.00018542325 0.00018542325 0.0011434434 0.000117434734 0.0003708465 0.00030903876 0.00017306171 0.0002781349 0.0001483386 0.0023425138 0.00016070016 0.0002781349 0.00022868869 0.00022250791 0.00020396558 0.00033994264 0.00016070016 0.00046355816 0.00028431567 0.00034612342 0.0021879945 0.00019160403 0.00014215783 0.000111253954 0.0001483386 0.0002534118 0.00021632714 0.000111253954 0.00016688093 0.00017306171 0.00016070016 0.00014215783 0.00019778482 0.00024105023 9.271163e-05 9.271163e-05 0.00022868869 0.00021632714 0.00030903876 0.0040854923 0.00012361551 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0050569763 1.5550359e-05 0.000102632366 8.3971936e-05 0.00013373308 7.153165e-05 0.000606464 0.0002643561 9.330215e-06 0.0 6.2201434e-06 6.2201434e-06 0.0 0.0 9.330215e-06 3.1100717e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.031511247 0.0012409186 0.0021397292 0.0016358977 0.022946108 0.023919562 0.11237 0.05458798 0.0030603106 0.00014617336 0.00017416402 0.00016794387 0.00012751293 0.0001648338 0.00029234673 0.00029234673 0.13728167 0.009068969 0.018834595 0.0046526673 0.008583798 0.004901473 0.046119254 0.029048068 0.004046203 0.00027990644 0.0005256021 0.00023636545 0.00022392516 0.0009672323 0.0008863704 0.0018598229 0.08819852 0.015494377 0.020937003 0.005504827 0.009809166 0.0071811555 0.04561542 0.030460041 0.0041799364 0.0006593352 0.0005038316 0.00085837976 0.0006406748 0.0015332653 0.0016980991 0.0023947551 0.022445386 0.00650005 0.006120621 0.0024009752 0.00954481 0.005850045 0.040990744 0.020386519 0.002736863 0.0006811057 0.00065311504 0.00078684813 0.0006717755 0.0004074194 0.00041052946 0.00043229997 0.04556877 0.004646447 0.0027461932 0.0034241888 0.0060459794 0.003343327 0.0050507565 0.0032811256 0.004699318 0.0047957306 0.0016265674 0.0015674761 0.0033650976 0.0017167595 0.0020557574 0.001607907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0053431033 0.0015985768 0.0012284783 0.0010232136 0.0013124503 0.0008739301 0.0012067078 0.00046340068 0.0009734524 0.00026746615 0.00058469345 0.00033588774 0.00059091364 0.0005753632 0.0024942774 0.00023636545 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1553.0 39.584675 61475.0 0.0005693371 0.00014640097 9.760065e-05 0.00017893453 0.00050427 0.00011386743 0.00014640097 0.00011386743 0.0030744204 0.0030581537 0.00047173648 0.00022773485 0.00022773485 4.8800324e-05 0.0029117528 0.013452623 0.00034160228 0.00040666937 0.0003904026 0.00016266775 0.006425376 0.0001952013 0.0001301342 0.00016266775 0.0001301342 0.00011386743 0.0002602684 0.0041968278 0.00017893453 0.0001301342 0.00016266775 3.253355e-05 8.133388e-05 0.00655551 0.005286702 0.008800325 0.002749085 0.003041887 0.010963807 0.009450996 0.0075315167 0.01195608 0.0003904026 1.6266775e-05 0.019259863 0.005774705 0.0012037414 0.0070435135 0.0028792191 6.50671e-05 0.004148028 0.012362749 0.0050915005 0.0005205368 0.0042944285 0.00034160228 0.0003253355 0.0 0.0013176088 0.00011386743 1.6266775e-05 4.8800324e-05 3.253355e-05 0.058983326 0.00034160228 0.08198455 0.008605124 0.019243594 0.04907686 0.090345666 0.0026840179 0.023700692 0.0052379016 0.044749897 0.0042944285 0.0055307033 0.025896706 0.017665718 0.084733635 0.049873933 0.03111834 0.0007808052 0.06716552 0.027832452 0.08216348 0.01891826 0.015355836 0.006067507 0.001952013 0.0050101667 0.00011386743 1.6266775e-05 1.6266775e-05 0.0 6.50671e-05 4.8800324e-05 4.8555274 0.0 0.0 0.0 2.0 161792.0 188416.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1528751400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 4.0 0.0 159232.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -159232.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5976605 0.0 3.2042434 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -159044.0 0.0 1092.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 167140.0 1092.0 172032.0 0.0 0.0 0.0 0.0 12.0 180224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0