Input: 0.08618512 0.00846808 0.005614928 0.0064250487 0.007919817 0.004841631 0.0064250487 0.005209868 0.008461261 0.003735557 0.0033986885 0.0033550456 0.0065914374 0.0035937177 0.0034136907 0.0070033167 0.0064891493 0.0033795948 0.0032091148 0.0032350277 0.004943919 0.0038173874 0.0035064318 0.0029704429 0.00404924 0.003157289 0.0030181773 0.0032813982 0.0041392534 0.0032186618 0.0031750188 0.0031300122 0.008030288 0.0029172532 0.0033018559 0.003370048 0.005361254 0.0030304517 0.0029554407 0.0029036147 0.0032186618 0.002857244 0.0030604564 0.0036714564 0.0029595322 0.0030754586 0.0031968402 0.0028899764 0.0047243405 0.0037082802 0.0037232824 0.00556583 0.003693278 0.0034955211 0.0034750635 0.003173655 0.0043206443 0.0041719857 0.0034982488 0.004867544 0.0036128114 0.0035077957 0.0033073113 0.0035691685 0.0051634973 0.0039251307 0.0031013715 0.005634022 0.008084842 0.010740237 0.004193807 0.0033495903 0.003650999 0.0028654272 0.0024971904 0.002510829 0.0028817933 0.007131518 0.0029581683 0.0027440456 0.0071928906 0.0036714564 0.002814965 0.0043179165 0.003027724 0.0043451935 0.0046561486 0.0037560146 0.0027917798 0.004447481 0.0022776122 0.002654032 0.0024535477 0.0039769565 0.0032991283 0.0031245567 0.0023730812 0.003277307 0.0024440007 0.00311501 0.0036632735 0.005029841 0.0034246014 0.0023430765 0.003436876 0.0032473023 0.005276696 0.0023430765 0.0033495903 0.002679945 0.003113646 0.0034000524 0.0032527577 0.0020757641 0.0036537265 0.0037669253 0.008731302 0.009455501 0.0024958267 0.0022885231 0.0024017217 0.0021985096 0.0018002684 0.0018930095 0.0024467285 0.0040001418 0.0024658223 0.00243309 0.0036523626 0.0023267106 0.0018780073 0.009196371 0.003003175 0.006456417 0.0020880385 0.001888918 0.0026935835 0.0077561564 0.0022476078 0.017859481 0.0021889627 0.008866322 0.0019789315 0.0018739158 0.0021153153 0.0018520943 0.0017157104 0.0018370921 0.0019639293 0.001871188 0.001684342 0.0016106947 0.0018561858 0.0016406991 0.0016652483 0.0016829782 0.002135773 0.0017225295 0.0017716278 0.0019530185 0.002179416 0.0019025564 0.0015888732 0.0017948131 0.0018698242 0.0016966166 0.0016938889 0.0016993443 0.0021848711 0.0016379715 0.0017579894 0.0015793263 0.002135773 0.0016120585 0.0015888732 0.0017879938 0.0021848711 0.0016106947 0.0017157104 0.0015261366 0.002051215 0.0021371369 0.0024617307 0.0024521837 0.0030386348 0.0018589135 0.0016802505 0.0017266211 0.0019175586 0.002041668 0.0019802952 0.0016911612 0.005115763 0.002644485 0.0025981145 0.0036769118 0.0032118424 0.0016011478 0.0034941572 0.0037737445 0.0029036147 0.0026949472 0.0017893576 0.001760717 0.0034832465 0.0014906768 0.0027017666 0.002058034 0.0031327398 0.0022885231 0.002058034 0.0018261813 0.002569474 0.0016870697 0.0019516546 0.0018370921 0.0026103891 0.0020198466 0.0017198019 0.0022585185 0.002382628 0.0019966613 0.0015779625 0.0017839023 0.0030140858 0.0018398197 0.0017157104 0.0017538979 0.0024617307 0.0018534581 0.0016216054 0.0016979804 0.011988151 0.0033809587 0.0016707036 0.0041897157 0.0036428159 0.001718438 0.0017307126 0.0015820541 0.0034355123 0.0018520943 0.0019980252 0.0018575497 0.002476733 0.001573871 0.003183202 0.0023744449 0.0036469074 0.0019093755 0.0018275452 0.0025981145 0.0047011552 0.0029458937 0.005121218 0.081425324 0.009780649 6.8291087e-07 1.3658217e-06 0.0 0.0 0.0 6.8291087e-07 0.0 2.0487325e-06 6.8291087e-07 0.0 0.0 2.7316435e-06 0.0 0.0 1.3658217e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001386309 6.1461974e-06 0.0011370465 1.02436625e-05 1.7755681e-05 1.9804414e-05 3.5511363e-05 2.458479e-05 2.0487325e-06 0.0 0.0 0.0 1.3658217e-06 2.0487325e-06 6.8291087e-07 2.7316435e-06 0.0 0.0 0.001026415 0.000110631554 5.6681598e-05 8.877841e-06 0.00011541193 8.058348e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0040947334 0.00028135927 0.0001946296 4.780376e-05 0.0003277972 4.302338e-05 3.6194273e-05 5.2584135e-05 5.8730333e-05 2.7999344e-05 5.8730333e-05 3.6877187e-05 3.346263e-05 3.8243008e-05 3.209681e-05 0.00023014095 0.016542831 0.00034282124 0.0004234047 0.00042613636 0.0024857954 0.00021716565 0.0005736451 0.00036330856 0.00013589926 0.00032506557 0.00023697007 0.00013931381 0.00045618444 0.00037423513 9.697334e-05 0.0020350744 0.008457168 0.00029979786 0.0006228147 0.0005681818 0.0007532507 0.00038106425 0.0014436735 0.0008331512 0.0001830201 0.00015365494 8.604676e-05 9.219296e-05 0.00022126311 0.00025540867 7.2388546e-05 0.00096153846 0.0039089816 0.00046369646 0.0004916958 0.0003086757 0.0008242734 0.00053267047 0.0026455966 0.0011554852 4.985249e-05 3.0048077e-05 3.7560098e-05 3.14139e-05 5.1901225e-05 3.414554e-05 4.4389206e-05 0.0005784255 0.0073774857 0.001746203 0.0026025733 0.0015986942 0.0022658983 0.00089734484 0.0036207933 0.002013904 0.00041862435 0.00024038462 8.877841e-05 9.629043e-05 0.00011131447 0.0001638986 0.000116094845 0.0018165428 0.010053813 0.00848585 0.007826158 0.013126229 0.0057794745 0.0040872213 0.0032875328 0.0020405375 0.0015351835 0.0009833917 0.00080993224 0.0013869919 0.0007061298 0.0017072771 0.00056408433 0.013144668 0.020839024 0.010720334 0.010325612 0.009898793 0.009525923 0.007977081 0.0070660785 0.0052201706 0.00632512 0.0020637566 0.0014798678 0.0020862927 0.0018370302 0.0013207495 0.0018397619 0.031544335 0.031038297 0.0071207113 0.0056333314 0.0067498907 0.012658435 0.01052229 0.0057023056 0.008795208 0.020541275 0.0021422913 0.0019667833 0.003286167 0.008741941 0.0028320313 0.0097786 0.027525404 0.036445584 0.008894231 0.0063442416 0.008613555 0.016032014 0.013908845 0.007245001 0.014054305 0.02690259 0.002818373 0.0034022618 0.004596673 0.013047694 0.005974104 0.012569657 0.024745274 0.021527398 0.020390352 0.020171821 0.020981753 0.02074683 0.020239428 0.020731807 0.020724295 0.01985017 0.020309769 0.020559713 0.020339133 0.019822853 0.021008385 0.020782342 0.020485276 2928.0 12.397541 36300.0 0.07906336 0.0025619834 0.0061432505 0.0032782368 0.009972452 0.0035261707 0.0032231405 0.0042975205 0.003443526 0.0025344354 0.002754821 0.003663912 0.0046556476 0.0075482093 0.010358127 0.008044077 0.016143251 0.013168044 0.01137741 0.009146006 0.010964188 0.008374656 0.010055097 0.009201102 0.010606061 0.0095316805 0.012203856 0.0074104685 0.010220386 0.008292011 0.008980717 0.013856749 0.023195593 0.012231405 0.004738292 0.008980717 0.011928375 0.006473829 0.007878788 0.009779614 0.005812672 0.0077134985 0.003415978 0.003801653 0.0063911844 0.005922865 0.0058953166 0.005482094 0.011873278 0.003939394 0.0060881544 0.011873278 0.0071900827 0.0065289256 0.009283747 0.0065289256 0.0062809917 0.0037465566 0.0029476583 0.002892562 0.0037465566 0.003553719 0.0027272727 0.009256198 0.005013774 0.026969697 0.010523416 0.019035812 0.020606061 0.039917354 0.007575758 0.011212121 0.010909091 0.023939393 0.0058402205 0.004600551 0.022561984 0.013553719 0.0222865 0.028044077 0.015840221 0.0036088154 0.027355371 0.026143251 0.042396694 0.013250689 0.0063911844 0.005812672 0.008099173 0.007134986 0.0033057851 0.0023966942 0.004132231 0.0033057851 0.0024242424 0.0031129476 6.114495 0.0 42.0 0.0 13.0 733224.0 741376.0 0.0 0.0 200.0 1.0 1.0 1.0 0.0 0.0 1542103800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 249344.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -19456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 47104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -249344.0 0.0 393728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9362693 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9627776 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.680056 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.634831 0.0 7.6106815 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19330.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 46706.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -249095.0 0.0 393364.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 1.0 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 -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 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 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 -1.0 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 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 295828.0 393364.0 323584.0 0.0 0.0 11304.0 721920.0 12096.0 720896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 275160.0 0.0 0.0 844.0 253952.0 0.0 0.0 0.0 0.0


Input: 0.8810475 0.0037283993 0.001925639 0.0016707195 0.0011614196 0.00058852445 0.0007658363 0.0007054748 0.0008849424 0.0007922444 0.0006747551 0.00042630296 0.0004796582 0.00043007554 0.0004710351 0.00045109427 0.001537062 0.00031689776 0.00028617808 0.00033198812 0.0003686362 0.00020587575 0.00024306274 0.00024953004 0.00039288856 0.0002759382 0.00022204401 0.00023282284 0.0003018074 0.00027054877 0.00020533682 0.00081218523 0.00176719 0.0006003811 0.000583135 0.00044732168 0.0006052316 0.00024360168 0.00021665459 0.0004969043 0.00042360823 0.00015575417 0.0001934801 0.00024683532 0.00028833386 0.00022689448 0.001055248 0.000481275 0.000842366 0.00019833057 0.0003260598 0.00027755502 0.0002732435 0.00020318104 0.0003018074 0.00017246137 0.00038911597 0.00018539597 0.00021827142 0.00014713111 0.00028563914 0.00012880708 0.00062086096 0.0005949917 0.0025809922 0.0007119421 0.0003433059 0.00030504106 0.000536786 0.0004112126 0.00023659544 0.00028779492 0.0004877423 0.00043169237 0.00033899437 0.00020425893 0.0005071442 0.00043007554 0.00042360823 0.00041983565 0.0010299177 0.00019455799 0.00048612547 0.00036594147 0.00049959903 0.00030665786 0.0005163062 0.0005599605 0.00032983237 0.00013850804 0.0004554058 0.00015144264 0.00048343078 0.0001676109 0.00016006571 0.00047372983 0.00083805446 0.0019310284 0.00061978307 0.0008267367 0.0010132105 0.0012147748 0.000434926 0.00042522507 0.0012939993 0.0010843509 0.00031043048 0.000166533 0.00065697 0.00052277354 0.0010897403 0.0012600459 0.0010978244 0.001110759 0.0015532302 0.0013581333 0.003683667 0.0026122509 0.0008601511 0.0029733418 0.00058151816 0.0003497732 0.00025060793 0.00020803153 0.0002813276 0.00017192242 0.00014820899 0.00031797565 0.0010703384 0.0012384882 0.0008488333 0.0001961748 0.00027054877 0.00024683532 0.00017300031 0.00012018401 0.00029534008 0.0002258166 0.00023767332 0.00014120275 0.0002721656 0.000323904 0.00011856719 9.16201e-05 0.00073673343 0.00044947743 0.00013743015 0.0001417417 0.00022527766 0.00017461713 0.00018108444 0.00018000655 0.00034222804 0.0002101873 0.00015413735 0.00018755173 0.0002091094 0.00013096286 0.00014228062 0.00013958591 0.00092320726 0.00010078211 0.00032444295 0.00019294115 0.00029857375 0.0001535984 0.00018270126 0.00017785079 0.0003535458 0.00015683206 0.00013257968 0.00012826815 0.00020964835 0.0001638383 0.00014120275 0.00015198159 0.0007227209 0.00013365757 0.00013204073 0.00035408474 0.000416602 0.00023443968 0.00016491619 0.0001638383 0.0004979822 0.00019779163 0.00023551755 0.00014874793 0.00021665459 0.00013311862 0.00013204073 0.00012180084 0.0009027275 0.00016599406 0.00011641142 0.00012611237 0.0002322839 0.00013850804 0.00015629311 0.0001239566 0.00031959248 0.00012611237 0.00017407819 0.00038749914 0.00055133743 0.00026408146 0.0001535984 0.000110483066 0.0010067433 0.00019671375 0.00019401904 0.00015036475 0.00020371999 0.00015575417 0.00032875448 0.0001341965 0.0003174367 0.0005200788 0.0004877423 0.00026731513 0.00036162994 0.0001535984 0.000157371 0.0002619257 0.000731344 0.00021557671 0.00012180084 0.00013257968 0.00022150508 0.00012341766 0.00015198159 0.00011802825 0.00028995067 0.00020749259 0.00012287873 0.0001045547 0.0001703056 0.00022797237 0.00015413735 0.00015144264 0.0007442786 0.00015683206 0.000212882 0.00011156095 0.0003664804 0.00019940846 0.0002091094 0.0001212619 0.0003934275 0.00014281957 0.00013311862 9.2697985e-05 0.00025168582 0.00013581333 0.00017623397 0.005073059 0.45855054 5.6889752e-05 0.00012052 7.064036e-05 0.00015557055 7.3066934e-05 0.00011135293 0.00018927302 4.6913825e-05 5.176698e-05 5.014926e-05 5.284546e-05 5.3115076e-05 8.735678e-05 5.4463177e-05 0.0002423881 0.0959501 0.0002930766 0.00025290326 0.000558652 0.00038259034 0.00047911418 0.00037638907 0.0008751855 0.00016150219 0.00010649978 0.00014128072 9.463651e-05 9.7063086e-05 0.00018307177 9.382765e-05 0.00045107372 0.057752 0.00036506506 0.00047587874 0.0003313626 0.0004491864 0.00027096778 0.00035239293 0.00076787686 0.00020221477 9.409727e-05 0.00013130478 0.00011350989 0.00013346174 0.00017821862 0.000104073195 0.00067485805 0.09208132 0.0008288109 0.0012707176 0.00048315848 0.0011971114 0.0007732693 0.0021698992 0.0014856044 0.0005287242 0.00039688018 0.00035266255 0.0005262976 0.00046644206 0.00048720278 0.00027069816 0.0015956092 0.101707555 0.0014791336 0.0020213388 0.0006891479 0.0016387485 0.0011156863 0.0027323258 0.0019585174 0.0006597594 0.00059397216 0.0005524507 0.00078917685 0.0007463073 0.00062794425 0.00058399624 0.0013750604 0.022372503 0.0005438229 0.0006435822 0.0002739336 0.0005327685 0.00024616276 0.0005616178 0.0008708716 0.00029361583 0.00021866156 0.00023322103 0.00014990855 0.00027420322 0.00024104 0.00016123257 0.0005440925 0.020579802 0.0005103901 0.0005109293 0.00035131446 0.0005573039 0.00039391435 0.00078378443 0.0012062785 0.00030493987 0.00027231587 0.00022135777 0.0002795956 0.0002286375 0.0004082042 0.00020571981 0.0007945692 0.012693695 0.00030871455 0.00037719795 0.00025317288 0.00047453065 0.0003178816 0.0009078095 0.0009191335 0.00026611463 0.00016123257 0.00022216662 0.00017848823 0.00022971597 0.0002971209 0.00017282621 0.00044217627 0.010063016 0.00038285996 0.0004548484 0.00046536358 0.00049636984 0.0003931055 0.000830159 0.0011553203 0.0001658161 0.0001890034 0.00019655275 0.00021272994 0.00015368323 0.00017740975 0.00019736162 0.00047965342 0.008485201 0.00032057782 0.0003739625 0.0002820222 0.00041737128 0.00036506506 0.0007037074 0.0012769188 0.0005980165 0.00024697164 0.0002561387 0.0002930766 0.00025128556 0.00037746757 0.00021839194 0.00044271554 0.0070373435 0.00031976894 0.0005184786 0.0005230622 0.001030756 0.00074307184 0.0018692733 0.001985749 0.00034969673 0.00029145888 0.00026072224 0.00020922488 0.00035239293 0.0002014059 0.00034079928 0.00053222926 0.00488443 0.0003219259 0.00042923453 0.00031869047 0.0006778239 0.00045970155 0.0012747619 0.0018309873 0.00047210406 0.00051605207 0.0003135677 0.00033891195 0.00026935007 0.00040658648 0.00032246514 0.00041575354 0.0022184309 0.00025829565 0.00024885897 0.00025775642 0.00028714497 0.00031410693 0.0004861243 0.001884372 0.0011515457 0.0003413385 0.00042087634 0.00044999525 0.00050311035 0.0006648821 0.00022890711 0.00022351473 0.0015705347 0.00021299956 0.00027636017 0.00026126148 0.0003068272 0.00030979302 0.00040362068 0.0008751855 0.0004766876 0.00023591722 0.0003437651 0.00025532985 0.0002286375 0.00043516618 0.00019790085 0.00023618684 0.0002615311 4.6374586e-05 5.5272034e-05 4.7453064e-05 5.2575837e-05 6.389987e-05 0.00011593646 0.00028148296 0.00019466541 2.7231588e-05 9.679347e-05 6.282139e-05 5.6350513e-05 0.00012672125 9.301879e-05 7.441503e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2257.0 14.314577 32308.0 0.042497214 0.004364244 0.00077380217 0.0008357063 0.009038009 0.00077380217 0.0019499814 0.0012071313 0.002538071 0.0009595147 0.0009285626 0.0015785564 0.0011452272 0.0018880772 0.042528167 0.0015476043 0.00786183 0.0026928314 0.0031571127 0.001764269 0.002878544 0.0022904545 0.004983286 0.0030333044 0.004580909 0.0020118856 0.0031261607 0.00080475427 0.0024142626 0.0013928439 0.0022285501 0.022904543 0.07304692 0.018385539 0.0015166522 0.002538071 0.0096570505 0.004549957 0.0012690355 0.0040237713 0.002445215 0.0026309274 0.0065618423 0.002166646 0.0029714003 0.0016714126 0.0038690108 0.005416615 0.008883249 0.0013928439 0.0073975488 0.0066856504 0.006902315 0.00489043 0.014640337 0.004580909 0.001083323 0.0006809459 0.0016095085 0.00080475427 0.001826173 0.0010214188 0.00071189797 0.018385539 0.007242788 0.047759067 0.013680822 0.030766374 0.03683298 0.046242416 0.007304692 0.009192769 0.026030704 0.033335395 0.0018880772 0.0024142626 0.015661756 0.015445091 0.02863068 0.03723536 0.01454748 0.0058499444 0.048006687 0.037792496 0.06704222 0.021542652 0.0020428377 0.013928439 0.009130865 0.0048285252 0.001826173 0.0013928439 0.0014857001 0.0011142751 0.0004952334 0.0024142626 5.5119634 1.0 0.0 0.0 120.0 1855488.0 53248.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 388512640.0 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 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 0.0 0.0 0.0 10.0 0.0 14.0 10.0 10.0 0.0 10.0 0.0 23040.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -23040.0 -5632.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.5999359 -2.2103431 -0.21473031 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1588.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1196.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22532.0 -5350.0 2052.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 600.0 33364.0 2072.0 45056.0 0.0 0.0 9192.0 35328.0 1588.0 49152.0 84.0 6384.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 4352.0 0.0 0.0 592.0 32768.0 64.0 26444.0 0.0 0.0


Input: 0.056682657 0.008301539 0.00616816 0.0056586345 0.0057570185 0.0049554477 0.0042056576 0.005423548 0.0050517605 0.005622388 0.0037541268 0.004475955 0.004960626 0.0031783215 0.0043247542 0.004645797 0.005033119 0.003770697 0.004924379 0.0041590547 0.004350645 0.0031803928 0.004111416 0.0038411191 0.0050724726 0.0033523059 0.0031596804 0.0029277012 0.0041486984 0.0034392981 0.0037883024 0.0037903737 0.0061754095 0.0038204067 0.0034838298 0.003029192 0.00490056 0.0041621616 0.0038431904 0.0037199515 0.004726575 0.0038939358 0.003332629 0.003097543 0.0043734284 0.0037334145 0.00373445 0.0035884276 0.0055105407 0.003943646 0.003105828 0.0029028463 0.0036754198 0.0030706169 0.0026832947 0.0028686707 0.0041704467 0.0033191661 0.0035211123 0.0033585196 0.004005783 0.003220782 0.0035014353 0.0034496542 0.006611406 0.003943646 0.0036267454 0.003220782 0.004154912 0.0032197463 0.0035449315 0.0030644033 0.0049999794 0.003778982 0.0037033814 0.003595677 0.0041248794 0.0031296473 0.003562537 0.0034682956 0.0051801773 0.0036329592 0.003650565 0.0033378073 0.003932254 0.0033854458 0.003365769 0.0035335396 0.004654082 0.0036453868 0.0038121217 0.0035086847 0.0041165943 0.0033844102 0.003685776 0.00378416 0.0059133973 0.00362571 0.0033419498 0.00295877 0.0040088897 0.0030478332 0.0032601357 0.0030260852 0.0049740886 0.0031596804 0.003199034 0.0030488688 0.0035832494 0.0028386377 0.0030851157 0.003195927 0.004503917 0.0032953469 0.003229067 0.003144146 0.003890829 0.0033315935 0.0032901687 0.0036226031 0.004620942 0.0032880974 0.0034765804 0.003174179 0.0040316735 0.0032000695 0.003472438 0.0033419498 0.008650544 0.004596087 0.004013032 0.0035283614 0.004369286 0.0034403338 0.0030281565 0.0033864814 0.0045401636 0.0038380122 0.0029535918 0.0031928204 0.0037282363 0.0027982485 0.0028510652 0.0029794823 0.0052257446 0.0032083546 0.003494186 0.0030281565 0.0036650635 0.0031876422 0.0033088098 0.0032611713 0.0045432705 0.0028365667 0.0030364415 0.002698829 0.0035138628 0.0032280313 0.002977411 0.003149324 0.0050082644 0.0034134076 0.0032704917 0.0027930704 0.0037769107 0.0030115866 0.0030581895 0.0031783215 0.004142485 0.0030043372 0.003119291 0.0030146935 0.0036381374 0.002837602 0.0029194162 0.0030364415 0.004669616 0.0031141131 0.0038380122 0.0028562434 0.0035615014 0.0031513954 0.0029898386 0.0031203267 0.004253296 0.0031431103 0.0033367716 0.0031783215 0.0036453868 0.0031876422 0.003327451 0.003338843 0.0067222174 0.004062742 0.0037189159 0.0033347004 0.004114523 0.0032497793 0.003297418 0.00322596 0.004336146 0.003332629 0.0031130775 0.0030830444 0.003647458 0.0029825892 0.0030778663 0.0028013554 0.004246047 0.0032798124 0.003087187 0.0030001947 0.0037106308 0.0030271208 0.002933915 0.0029515205 0.003978857 0.003108935 0.0027216126 0.0026397984 0.0035314683 0.0029401286 0.0035801425 0.0028842052 0.0049554477 0.003237352 0.003404087 0.002977411 0.0038017656 0.00306751 0.0031948914 0.00290906 0.0044417796 0.0054556527 0.0034734737 0.0031327542 0.0037872668 0.0030830444 0.0032435658 0.0031897135 0.0046105855 0.0033191661 0.0034237637 0.0030447263 0.003737557 0.0030892582 0.0033098455 0.003240459 0.0043413243 0.003032299 0.0031876422 0.0028665995 0.0040119966 0.00310065 0.004221192 0.0045153084 0.011680352 0.0 0.0 0.0 0.0 0.0 1.0377922e-06 3.1133768e-06 0.0 1.0377922e-06 2.0755845e-06 0.0 0.0 1.0377922e-06 0.0 1.0377922e-06 0.002053791 4.151169e-06 2.0755845e-06 6.2267536e-06 5.188961e-06 1.0377922e-06 3.1133768e-05 1.1415715e-05 0.0 0.0 1.0377922e-05 0.0 0.0 0.0 0.0 0.0 0.0009511366 2.5944805e-06 6.2267536e-06 1.2972403e-05 9.34013e-06 5.7078573e-06 5.1889612e-05 2.283143e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028648255 3.580383e-05 2.8020391e-05 1.0896819e-05 2.2312533e-05 3.476604e-05 4.2549484e-05 1.8161365e-05 3.580383e-05 5.188961e-06 9.859026e-06 1.608578e-05 2.6463702e-05 7.2645457e-06 1.7123572e-05 1.2972403e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0008805667 1.19346105e-05 1.2453507e-05 8.302338e-06 1.3491299e-05 1.608578e-05 1.3491299e-05 1.1415715e-05 1.0896819e-05 1.3491299e-05 6.7456494e-06 1.3491299e-05 1.19346105e-05 1.0377922e-05 1.8161365e-05 9.859026e-06 0.0016262204 6.538091e-05 5.7078574e-05 4.8776234e-05 4.7738442e-05 3.0614872e-05 2.283143e-05 0.00055521884 3.0095975e-05 1.7123572e-05 1.9718052e-05 0.00027760942 2.0755844e-05 0.00027449604 1.6604676e-05 7.783442e-05 0.00074357813 3.736052e-05 3.4247143e-05 2.0755844e-05 2.2312533e-05 1.7123572e-05 1.4010196e-05 1.19346105e-05 1.6604676e-05 2.283143e-05 1.9199157e-05 1.7642467e-05 6.7456494e-06 4.670065e-06 2.283143e-05 5.085182e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0013195529 3.736052e-05 4.306838e-05 6.019195e-05 4.2549484e-05 3.1652664e-05 9.184462e-05 5.863526e-05 3.9436105e-05 5.759747e-05 4.410617e-05 4.306838e-05 7.835332e-05 7.783442e-06 8.821234e-06 0.0001613767 0.0011701108 6.953208e-05 4.6181754e-05 4.6181754e-05 3.8398313e-05 3.7879418e-05 4.7738442e-05 6.019195e-05 5.2408508e-05 5.085182e-05 6.8494286e-05 5.1889612e-05 7.5239936e-05 1.45290915e-05 4.410617e-05 0.0002516646 0.0045823716 0.0002942141 0.00027293936 0.00026463703 0.000309781 0.0002392111 0.00033001794 0.00031289435 0.00032690456 0.00035284937 0.00032690456 0.00035284937 0.0005220095 0.00015151767 0.0001868026 0.0007383892 0.0032000323 0.00027397714 0.00030095974 0.00024907014 0.00028902513 0.0002827984 0.00034350922 0.0009345319 0.00040785235 0.00035181158 0.00032482896 0.0006698949 0.00046337425 0.00043587273 0.000174868 0.0008618865 0.002253566 0.00018213254 0.00029058184 0.00024543787 0.00029888417 0.0002952519 0.00028591175 0.0004031823 0.00044365617 0.00032327228 0.00024647565 0.00031756444 0.00046129865 0.00016189559 0.00018991598 0.0010398679 0.00034506593 5.448409e-05 4.306838e-05 4.5143963e-05 5.448409e-05 4.8257338e-05 5.34463e-05 5.1889612e-05 7.056987e-05 4.8257338e-05 3.8398313e-05 4.9295133e-05 4.4625067e-05 2.6463702e-05 4.2030584e-05 4.7219546e-05 0.099233694 0.062023655 0.062470943 0.055316404 0.060619522 0.059579134 0.054943834 0.054473713 0.060468003 0.053142227 0.052120004 0.052927922 0.056410234 0.050526474 0.056664493 0.05381939 4030.0 5.701985 22979.0 0.01714609 0.010444319 0.00931285 0.008747117 0.013360024 0.012446146 0.011793377 0.011488751 0.0125767 0.009791548 0.008442491 0.008747117 0.01388224 0.0106183905 0.011880413 0.009965621 0.01671091 0.012010966 0.008790635 0.007572131 0.009791548 0.008529527 0.0077897212 0.008355455 0.010357283 0.008398973 0.009617477 0.0088341525 0.0115322685 0.009008225 0.009660995 0.009182297 0.018103486 0.010879499 0.010400801 0.009138779 0.010835981 0.008790635 0.010705426 0.008355455 0.014186867 0.011575786 0.009704513 0.009008225 0.011445233 0.009356369 0.011662822 0.009573959 0.0147526 0.009660995 0.009965621 0.009008225 0.012054484 0.00931285 0.009530441 0.00974803 0.013708169 0.009225815 0.010531355 0.009530441 0.011184124 0.009878585 0.010400801 0.010705426 0.017929414 0.010966535 0.009660995 0.008224901 0.013055398 0.008268419 0.009356369 0.008311937 0.01540537 0.0092693325 0.008877671 0.008703599 0.011358197 0.008007311 0.009878585 0.007833239 0.013272989 0.007963793 0.008703599 0.008790635 0.011445233 0.009486923 0.008181383 0.007833239 0.010966535 0.0088341525 0.0119674485 0.008573045 0.011271161 0.009008225 0.010009139 0.008877671 6.554669 0.0 0.0 0.0 14.0 965604.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.06199658 0.004491052 0.0044569857 0.0038267623 0.0040292665 0.0036223656 0.0036015473 0.0038002664 0.0045289034 0.0034331093 0.0035069191 0.004939589 0.0038986797 0.003802159 0.0034331093 0.004144713 0.0041844565 0.003274134 0.0031776133 0.0046878783 0.0038059442 0.0037870186 0.0033498365 0.0033801175 0.0037605227 0.0034955638 0.0033441589 0.003546663 0.003828655 0.003368762 0.003404721 0.0033063076 0.004434275 0.0031359768 0.0032154645 0.0032646712 0.007740583 0.0034368944 0.0032798117 0.003031886 0.0034122912 0.003247638 0.0030792 0.003287382 0.0035069191 0.0034122912 0.0033422662 0.0033801175 0.0038948946 0.003737812 0.0035277375 0.0042374483 0.004008448 0.0036696796 0.0035826217 0.0035372002 0.0037832335 0.0034804232 0.0035618036 0.0039952006 0.0036431837 0.00345582 0.0033025225 0.0032968447 0.004453201 0.004975548 0.004703019 0.0037491673 0.005425978 0.004508085 0.0038740765 0.003788911 0.003590192 0.0035107043 0.003364977 0.0033157703 0.00443049 0.0037151012 0.0033233406 0.0036999607 0.004097399 0.0035315226 0.0034898862 0.0039441013 0.004265837 0.0035958698 0.0037472746 0.0037945888 0.0033725472 0.0038229772 0.003287382 0.0035674812 0.0034804232 0.0035542333 0.0035674812 0.0035050267 0.00345582 0.00367725 0.0033006298 0.0036583242 0.0036166878 0.004122002 0.003671572 0.00345582 0.0037813408 0.003855151 0.003728349 0.0036110103 0.0035977622 0.0032381753 0.0036375062 0.0036961755 0.0033763323 0.003321448 0.003858936 0.0038267623 0.005354061 0.0049433745 0.0035807292 0.0033820102 0.0037453822 0.0033422662 0.0033195554 0.003425539 0.003741597 0.0033876877 0.0033498365 0.0031643654 0.0038381177 0.0037037458 0.0033157703 0.0050947797 0.003949779 0.003936531 0.0032381753 0.003476638 0.003785126 0.0064403918 0.0034103985 0.00759107 0.003395258 0.0040727956 0.0032400677 0.0032760266 0.0036412913 0.0033138779 0.0035693739 0.0035655887 0.0035882995 0.0034444646 0.0031738281 0.0033706548 0.003516382 0.004759796 0.003593977 0.0035504482 0.0034879935 0.0031151588 0.0032722414 0.0033063076 0.0033611918 0.0034312166 0.0031889686 0.003338481 0.0036072251 0.0034141836 0.0032817042 0.0033592994 0.0033668696 0.0032400677 0.003062167 0.003196539 0.0035239523 0.0033006298 0.0031984313 0.003442572 0.0034652827 0.0033422662 0.0030848777 0.0031738281 0.0033138779 0.0032022165 0.0034917786 0.0035277375 0.0034217539 0.003425539 0.0035258448 0.0034879935 0.0034652827 0.0030886629 0.0032041091 0.003317663 0.004491052 0.0037643078 0.0032192497 0.0039876304 0.003624258 0.003338481 0.0034974564 0.004010341 0.0034066134 0.0033025225 0.003190861 0.0032495307 0.004006556 0.0034331093 0.003149225 0.0033006298 0.0035353077 0.0035277375 0.0033914729 0.003425539 0.0035239523 0.0032627785 0.0035655887 0.0033555143 0.0036640018 0.0036734648 0.003395258 0.0037056382 0.0032835968 0.0033063076 0.0032646712 0.0033063076 0.0041428204 0.0034293241 0.003230605 0.00315301 0.004033052 0.0046140687 0.0035258448 0.003247638 0.005132631 0.0037775557 0.0033592994 0.003997093 0.0039081424 0.003187076 0.0031378695 0.0032968447 0.0036886053 0.0032514231 0.0033706548 0.0034141836 0.0032987373 0.0034501422 0.0035864068 0.0033876877 0.0039213905 0.0034614976 0.0036450764 0.0035864068 0.004036837 0.0035485555 0.003875969 0.009845112 0.009708738 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037725652 7.5849516e-06 7.5849516e-06 5.6887134e-06 7.5849516e-06 1.2325546e-05 4.7405947e-06 3.7924758e-06 6.6368325e-06 5.6887134e-06 1.8962379e-06 5.6887134e-06 2.8443567e-06 2.8443567e-06 3.7924758e-06 3.2236043e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0034056432 3.7924758e-06 3.0339806e-05 4.1717234e-05 9.481189e-05 2.8443568e-05 0.00020858616 5.309466e-05 3.7924758e-06 0.0 3.7924758e-06 1.8962379e-06 1.8962379e-06 0.0 3.7924758e-06 1.8962379e-06 0.0016658449 2.9391687e-05 2.1806736e-05 4.7405947e-06 2.654733e-05 1.3273665e-05 4.456159e-05 4.2665353e-05 7.5849516e-06 2.1806736e-05 1.5169903e-05 1.2325546e-05 1.04293085e-05 7.5849516e-06 1.4221784e-05 3.7924758e-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 0.004527268 0.00014980279 0.00013747724 0.00012799606 0.00023608161 6.352397e-05 7.110892e-05 8.059011e-05 5.214654e-05 5.309466e-05 4.6457826e-05 6.542021e-05 5.404278e-05 4.5509707e-05 3.413228e-05 8.059011e-05 0.0027400637 7.01608e-05 7.01608e-05 0.00012894417 0.00020479369 7.3005154e-05 6.4472086e-05 6.0679613e-05 6.826456e-05 6.162773e-05 6.0679613e-05 7.01608e-05 5.49909e-05 6.257585e-05 4.2665353e-05 5.0250303e-05 0.0037810984 0.0001099818 0.00018867567 0.00012230735 0.00028159132 0.00012704794 9.291565e-05 0.00012799606 0.00024745904 9.765625e-05 8.7226945e-05 9.196754e-05 0.00013558101 8.343447e-05 0.000118514865 0.00013178853 0.0036180217 0.0001346329 0.0003498559 0.0005593902 0.00037355887 0.00025978457 0.0011586014 0.0006096405 0.00024745904 9.291565e-05 4.3613472e-05 4.2665353e-05 9.481189e-05 5.9731494e-05 5.309466e-05 6.9212685e-05 0.0036720645 0.00017729824 0.0004048468 0.00016686894 0.0007916793 0.00030055371 0.0017606568 0.00093389716 0.00014221785 0.00011472239 9.3863775e-05 9.860437e-05 0.00010618932 0.0001251517 0.00011661863 0.00070350425 0.0057702516 0.0004996587 0.00043518658 0.0030519948 0.00058309315 0.0004664745 0.0004513046 0.00044846025 0.00047216323 0.00051862106 0.0004759557 0.00046457828 0.0004560452 0.00047690384 0.00051862106 0.0004446678 0.0006892825 5.6887136e-05 5.404278e-05 4.6457826e-05 0.0001204111 0.00013747724 3.9820996e-05 7.395328e-05 0.00021143052 1.2325546e-05 2.4651092e-05 4.1717234e-05 0.000109033674 1.1377427e-05 0.00011756675 0.0001953125 0.0065439167 0.00091872725 0.0019322664 0.00080874545 0.0020773285 0.0012941824 0.0010211241 0.0013842536 0.003819023 0.0006210179 0.0004114836 0.0006105886 0.0013027154 0.00061912165 0.0012268659 0.0025931052 0.018058822 0.004469433 0.004656212 0.0035848378 0.008612712 0.005588213 0.0030956082 0.004696033 0.009935338 0.0031515474 0.0017947891 0.0021873105 0.005066748 0.002408222 0.0060215034 0.007934808 0.052777987 0.051136795 0.04999052 0.049820807 0.05109318 0.050338477 0.05013748 0.050657045 0.050645668 0.05158146 0.050320465 0.049916565 0.04965773 0.051363394 0.05098225 0.051230658 2527.0 6.984171 17649.0 0.024363987 0.008555725 0.0073658563 0.007309196 0.011218766 0.007309196 0.0062326477 0.0061193267 0.008555725 0.0074791773 0.007025894 0.0077624796 0.007025894 0.0089523485 0.008669047 0.008102442 0.012068672 0.0112754265 0.01167205 0.012181994 0.011218766 0.010765483 0.012238653 0.012408635 0.010878803 0.00912233 0.010028897 0.0094056325 0.009462292 0.008329084 0.009348972 0.007705819 0.0075358376 0.010142217 0.007932461 0.009462292 0.010765483 0.009462292 0.009915576 0.009632274 0.009632274 0.010198878 0.007025894 0.0074791773 0.009009009 0.008895688 0.007252536 0.007422517 0.013315202 0.008215763 0.010085558 0.01563828 0.01178537 0.0067992522 0.012351975 0.01172871 0.008159103 0.0074791773 0.0069692335 0.0075358376 0.008895688 0.007139215 0.007252536 0.0074791773 0.009575614 0.018018018 0.0077624796 0.013768486 0.013258542 0.02742365 0.0108221425 0.011162106 0.0115020685 0.020341096 0.008442405 0.009802255 0.017904697 0.010878803 0.018981246 0.019717831 0.01178537 0.006912573 0.018527962 0.013768486 0.024080684 0.013485183 0.008442405 0.008669047 0.008442405 0.009292311 0.0075924983 0.007705819 0.0077624796 0.0073658563 0.007422517 0.006629271 6.49236 0.0 0.0 0.0 10.0 528384.0 540672.0 0.0 0.0 107.0 1.0 1.0 0.0 0.0 0.0 1068797000.0 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 6.0 0.0 5.0 0.0 5.0 0.0 53248.0 4096.0 4096.0 8.0 0.0 0.0 1.0 4.0 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 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 -114688.0 0.0 0.0 0.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110592.0 -53248.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5227575 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9220643 0.0 0.0 0.0 0.0 0.0 0.0 -7.997572 0.0 0.0 0.0 7.9876256 0.0 0.0 0.0 0.0 0.0 0.0 -5.5815268 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.962405 -6.677498 0.0 2.6073937 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3792.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 93930.0 0.0 0.0 0.0 0.0 0.0 0.0 -113385.0 0.0 0.0 0.0 121468.0 0.0 0.0 0.0 0.0 0.0 0.0 -32114.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110268.0 -52203.0 0.0 921.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 148524.0 720.0 532480.0 0.0 0.0 0.0 0.0 3792.0 536576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 460.0 57344.0 0.0 0.0 0.0 0.0


Input: 0.20076865 0.042380314 0.023874175 0.012480157 0.016093658 0.0044907676 0.01561325 0.008323586 0.006704821 0.0045847604 0.023164008 0.0040208036 0.0032270867 0.0028406717 0.0052635977 0.0025586933 0.004699641 0.010464533 0.017169354 0.007237447 0.0054724705 0.00979614 0.004073022 0.0029659956 0.002955552 0.0030286573 0.0027362353 0.0035821707 0.0017232016 0.003926811 0.0047518588 0.0024229258 0.007049461 0.0013681176 0.0022036093 0.002276715 0.001326343 0.0038432619 0.0017858634 0.0019111872 0.010161668 0.0011696884 0.0067988136 0.004428106 0.0035926143 0.0024124822 0.008469797 0.005514245 0.007978946 0.0031644248 0.0025586933 0.002099173 0.0028406717 0.00200518 0.0015874342 0.0027362353 0.005368034 0.0021409474 0.0021200601 0.0008981536 0.002475144 0.0022871585 0.0017232016 0.0008459353 0.0013890049 0.0051069427 0.0011592447 0.0048771827 0.0032897484 0.0024333696 0.0023393768 0.0033315232 0.0019320745 0.0042610075 0.00093992817 0.001535216 0.002214053 0.0028406717 0.002569137 0.001858969 0.0036448324 0.0018798563 0.0044072187 0.0041147964 0.0066839335 0.002214053 0.0019842926 0.0007519425 0.0009190409 0.0010339209 0.0014829978 0.0009503718 0.0010756955 0.0016918706 0.00055351324 0.0049920627 0.0012950121 0.012699474 0.003979029 0.012375721 0.0053784777 0.030411897 0.0016292088 0.005075612 0.0031017628 0.017336452 0.0007937171 0.0024124822 0.011247807 0.0070599047 0.013984042 0.023821957 0.008835325 0.0008354917 0.015561033 0.016824713 0.024208372 0.00856379 0.0017336452 0.001858969 0.0011070265 0.0044176625 0.0008146044 0.0051278304 0.0035299524 0.005879773 0.00055351324 0.0006997243 0.006840588 0.0036239452 0.0011279138 0.0010339209 0.0007206116 0.00057440053 0.004574317 0.00033419667 0.00051173865 0.0006892806 0.00031330937 0.0009712591 0.00057440053 0.00035508396 0.00066839333 0.00043863314 0.00041774585 0.0007728298 0.00037597126 0.0008981536 0.0007937171 0.0009085972 0.00051173865 0.0004073022 0.0003864149 0.00043863314 0.00045952044 0.0008668226 0.0005639569 0.0005952878 0.0006579497 0.0008146044 0.0008981536 0.0010443646 0.0005952878 0.0019216309 0.00055351324 0.00048040773 0.00048040773 0.00055351324 0.00049085135 0.0005430696 0.00048040773 0.0011696884 0.00051173865 0.0006370624 0.0005639569 0.0017545326 0.0006161751 0.0014412232 0.0005221823 0.0007728298 0.00096081547 0.0011696884 0.00045952044 0.00045952044 0.00057440053 0.0013890049 0.00035508396 0.00051173865 0.0007728298 0.00060573145 0.0003864149 0.0005221823 0.0014829978 0.00053262594 0.00043863314 0.0008877099 0.0007101679 0.0004490768 0.0005952878 0.0003864149 0.0004073022 0.0006161751 0.00037597126 0.00096081547 0.000678837 0.00048040773 0.00048040773 0.00043863314 0.0007414989 0.000678837 0.0003655276 0.0006370624 0.0009712591 0.00033419667 0.0002924221 0.0003655276 0.0002715348 0.0004281895 0.00045952044 0.0005952878 0.0008146044 0.0007414989 0.0018171944 0.00049085135 0.000678837 0.0013054558 0.00026109116 0.0007101679 0.00048040773 0.0003446403 0.000856379 0.0003655276 0.00031330937 0.0005221823 0.0005639569 0.00060573145 0.0003446403 0.00026109116 0.0002924221 0.00033419667 0.00045952044 0.0008146044 0.00018798563 0.0002715348 0.000501295 0.0003864149 0.00030286572 0.0009085972 0.00060573145 0.00030286572 0.00045952044 0.00064750604 0.0006997243 0.00048040773 0.001858969 0.0013785613 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015253481 0.00153384 0.0007058848 0.0003290591 0.0003131369 0.00044051462 0.0011357847 0.00046174423 0.00072711444 4.7766644e-05 4.7766644e-05 0.00018045177 0.00041397757 4.245924e-05 5.8381454e-05 4.7766644e-05 0.018984588 0.0010667883 0.0015975289 0.0008704144 0.0060132896 0.0049624234 0.033691406 0.019027047 0.00026537024 0.00013268512 4.7766644e-05 7.4303665e-05 4.245924e-05 6.899626e-05 5.3074047e-05 5.8381454e-05 0.07818869 0.012164572 0.013602879 0.0042565386 0.0038850203 0.0036249575 0.013762101 0.015221638 0.001088018 0.00083856995 0.0008544922 0.00047235904 0.00045112942 0.0016240659 0.00047235904 0.0016665251 0.12484078 0.025947902 0.026510488 0.018077021 0.01656441 0.016978389 0.07926078 0.0498153 0.0058381455 0.002452021 0.002319336 0.0031101392 0.0023246433 0.0025422468 0.0013268512 0.0025263247 0.0782683 0.029132346 0.009834621 0.004574983 0.007064156 0.0053020976 0.009951384 0.007249915 0.0069686226 0.0018204398 0.0021707285 0.0033224355 0.0019000509 0.0022768767 0.0023034138 0.0017726732 0.025958518 0.007143767 0.0034710427 0.0035878057 0.003486965 0.0024360989 0.0055515454 0.0033171282 0.0033648948 0.0008757218 0.0013374661 0.0009924847 0.0010561736 0.0007642663 0.0010243291 0.00084918475 0.024987262 0.0070376187 0.0036461873 0.0053127124 0.0024679434 0.0018841288 0.0034975798 0.0016824474 0.0021919583 0.0020751953 0.0038213315 0.0013746179 0.0017514436 0.0008332626 0.0012950068 0.0013586957 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010052225 0.0034922725 0.004697053 0.005567468 0.0024095618 0.0028129246 0.006920856 0.0044529126 0.0024679434 0.0014489215 0.0019053584 0.0017779806 0.0017249066 0.0015762992 0.0014329993 0.0016081437 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 914.0 29.150984 26644.0 0.00848221 0.000112595706 0.0001876595 0.0002627233 0.000375319 0.000112595706 0.00022519141 0.000375319 0.00022519141 0.00022519141 0.00041285093 0.001914127 0.0054421257 0.0010133614 0.02525897 0.01617625 0.014524846 0.0062678275 0.006868338 0.0037907222 0.0052169343 0.004128509 0.001914127 0.004616424 0.0024771055 0.0032277436 0.0039408496 0.00030025523 0.004316169 0.0037907222 0.0040159137 0.00033778712 0.00022519141 0.012310464 0.002326978 0.013473953 0.0070559974 0.0037907222 0.004578892 0.0069809337 0.0010133614 0.007206125 0.00067557424 0.0018015313 0.004128509 0.007243657 0.0051794024 0.0037531902 0.009608167 0.0002627233 0.0122354 0.01163489 0.016401442 0.0020642546 0.0039033177 0.0005254466 0.0002627233 0.0002627233 0.0016889356 0.0013136165 0.000375319 0.0013886804 0.00015012761 0.015650803 0.0018015313 0.039145775 0.011559825 0.035017263 0.016251314 0.102086775 0.0033028075 0.016026122 0.007731572 0.056673173 0.00093829754 0.004578892 0.03614322 0.021092929 0.045488667 0.05445879 0.024245609 0.0007131061 0.04867888 0.052582193 0.081594355 0.023232248 0.0048040836 0.0052169343 0.0013136165 0.013586548 0.001538808 3.7531903e-05 3.7531903e-05 3.7531903e-05 3.7531903e-05 3.7531903e-05 5.259659 0.0 100.0 0.0 2.0 95752.0 114688.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 2969548800.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 86016.0 512.0 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 -86016.0 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 -6.1531906 0.0 3.2994022 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 -85736.0 0.0 1032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 93839.0 1032.0 98304.0 0.0 0.0 7176.0 88576.0 12.0 106496.0 84.0 93624.0 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: 0.24258378 0.017530948 0.003981733 0.0057744565 0.0072935536 0.00525551 0.002321105 0.0014247433 0.003811896 0.0015096618 0.0012926479 0.0013586957 0.0045761624 0.003198596 0.0011511171 0.04002491 0.0061141304 0.0026230374 0.0011322463 0.0011511171 0.002151268 0.0023588466 0.000952974 0.00091523246 0.0034344806 0.001415308 0.0007170894 0.0009341033 0.0010945048 0.0013209541 0.0008397494 0.0028683576 0.008774909 0.0015945804 0.0008208786 0.00087749097 0.012615112 0.0017738526 0.00081144326 0.0010661987 0.006765172 0.0017738526 0.0018115942 0.0024248944 0.0032080314 0.0012832126 0.0013586957 0.0016511927 0.0028872283 0.0008869263 0.0020097373 0.0036043175 0.001368131 0.0011605525 0.0008869263 0.00091523246 0.002047479 0.001707805 0.0011039402 0.0041704406 0.0019719957 0.0017927234 0.005472524 0.01856884 0.0073596016 0.0146908965 0.0025852958 0.0030193236 0.014926781 0.006038647 0.0017738526 0.0019342542 0.019691652 0.0033778683 0.0009718448 0.0012077295 0.0056517967 0.0018304649 0.0013870018 0.0012832126 0.0026230374 0.0009341033 0.0011039402 0.0012266003 0.002028608 0.0015190972 0.0014247433 0.0028683576 0.003443916 0.004057216 0.0010473279 0.0019248188 0.0030476297 0.0011888586 0.0024060234 0.002047479 0.002245622 0.0041704406 0.0017361111 0.0022927988 0.0027834391 0.0075388737 0.007425649 0.0023116698 0.0022267513 0.005302687 0.0012549064 0.0012077295 0.005029061 0.002151268 0.005463089 0.0036703653 0.0030853713 0.0008869263 0.0063405796 0.0034250454 0.007369037 0.0048214826 0.002538119 0.0015568387 0.0024909421 0.0015190972 0.0011794233 0.0010567632 0.0025003774 0.0010567632 0.0015474034 0.0017832881 0.0069255736 0.002632473 0.0019436897 0.0050196256 0.004717693 0.004906401 0.0014341788 0.001122811 0.0028589221 0.00840693 0.0013398249 0.02135228 0.0017644173 0.0052177687 0.0010095864 0.0011039402 0.0018682065 0.00073596014 0.0006887832 0.000830314 0.0010567632 0.00066047703 0.0009057971 0.00066991244 0.0013492602 0.0009624094 0.0008397494 0.0009341033 0.001169988 0.0008208786 0.00084918475 0.000707654 0.0018776419 0.00087749097 0.00091523246 0.0010850695 0.0010567632 0.00085862016 0.000830314 0.0009341033 0.0012737772 0.0008397494 0.0007170894 0.0005566878 0.0010284571 0.000830314 0.00074539555 0.0036043175 0.0016511927 0.0007548309 0.00074539555 0.00051894627 0.0013964372 0.0006510417 0.0048497887 0.0010661987 0.0014058726 0.0017832881 0.0012360356 0.00086805556 0.0019153835 0.0007737017 0.0055008302 0.005887681 0.010935613 0.0047743055 0.0025852958 0.0041610054 0.0027173914 0.0017832881 0.0024815067 0.0021795742 0.00427423 0.0036609299 0.0020852203 0.001707805 0.007378472 0.0012171648 0.0016983695 0.0012077295 0.0030853713 0.0020569141 0.0022173158 0.0018399004 0.0013964372 0.0013870018 0.0015285326 0.0016511927 0.0042553595 0.001415308 0.0017644173 0.0020569141 0.0011416818 0.0010567632 0.0013020834 0.0014341788 0.002538119 0.0016323219 0.0011794233 0.0009435387 0.0011605525 0.0007548309 0.0015379679 0.0015851449 0.0062179198 0.0028400514 0.0014247433 0.0026985204 0.001953125 0.0021795742 0.0014058726 0.001415308 0.003915685 0.0018399004 0.011492301 0.0053309933 0.0016417572 0.0014907911 0.0024532005 0.002075785 0.0020946558 0.0014719203 0.0013586957 0.0011605525 0.0009812802 0.0011039402 0.001660628 0.015313632 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008047067 2.8722427e-05 1.9148285e-05 9.5741425e-06 0.00035424327 0.0 0.0 1.4361213e-05 0.00027765014 9.5741425e-06 0.0 0.0 4.308364e-05 0.0 5.2657782e-05 0.00094784005 0.014825559 4.787071e-05 0.0003638174 0.00028722428 0.0004787071 0.0002489277 0.0020823758 0.0008425245 9.095435e-05 9.5741425e-06 2.3935356e-05 2.3935356e-05 2.8722427e-05 4.7870712e-06 2.8722427e-05 0.00022020527 0.014753753 0.00011967678 0.00016754749 0.00015318628 0.00019148285 0.00017712163 0.00027286305 0.00045955883 0.0012207031 0.0002824372 0.00014839921 0.00019148285 0.00028722428 0.00011967678 0.00022499234 0.00083773746 0.0028483074 0.0 0.0018382353 0.00035424327 0.00037339155 0.00020105699 0.009981044 0.0040115654 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0127048865 0.00017233456 0.0007563572 0.00041168812 0.00048828125 9.095435e-05 0.0009047564 0.0008712469 0.0010531556 0.00020105699 0.00011967678 6.7019e-05 0.00011967678 0.000114889706 0.00016276042 0.0013691023 0.02134555 0.0003829657 0.0015605852 0.00085688574 0.0014409084 0.0014983532 0.010512408 0.0060077743 0.001412186 0.0005983839 0.00066540285 0.00046913297 0.00048349416 0.0007324219 0.00036860447 0.00068455114 0.02366728 0.0019100413 0.0023600261 0.0015414369 0.0013786765 0.0013403799 0.006070006 0.0035950905 0.0017281327 0.00048828125 0.00073720893 0.000607958 0.0007467831 0.0010196462 0.00063668046 0.0011919807 0.050656784 0.0023313037 0.0028770298 0.012494256 0.005648744 0.0019196155 0.0052131205 0.0034179688 0.0052657784 0.0018717448 0.002422258 0.00209195 0.0046051624 0.0024461932 0.006922105 0.007463044 0.0113980165 0.0011824066 0.0015127144 0.0012446385 0.002570657 0.00093826593 0.00067018997 0.001072304 0.002221201 0.0005313649 0.00025371477 0.0007563572 0.001685049 0.00071806065 0.00077071844 0.001886106 0.15416284 0.019971661 0.033313226 0.024284812 0.06959444 0.022298178 0.016414866 0.01766908 0.05251417 0.006649242 0.008348652 0.017865349 0.04156135 0.019756243 0.01794673 0.036472693 0.023686428 0.0032073376 0.003102022 0.0069029564 0.00524663 0.0035903032 0.0035424326 0.0040642233 0.0055625765 0.0030445773 0.0025850183 0.007592295 0.005241843 0.003973269 0.00370998 0.0031834024 0.0030254289 0.0007946538 0.000809015 0.002350452 0.00093826593 0.0008281633 0.00083773746 0.0009813496 0.0011824066 0.001412186 0.00077071844 0.001546224 0.0006510417 0.0009813496 0.0008281633 0.0016706878 580.0 12.062069 6996.0 0.06903945 0.00042881648 0.00085763296 0.0007146941 0.020297313 0.0005717553 0.00014293882 0.0028587764 0.011435105 0.0058604917 0.00042881648 0.00028587764 0.00042881648 0.0018582047 0.0037164094 0.0011435106 0.0035734705 0.0010005718 0.0018582047 0.0020011435 0.0010005718 0.00014293882 0.00028587764 0.0007146941 0.0011435106 0.0022870211 0.0028587764 0.0035734705 0.003144654 0.0017152659 0.0042881644 0.01686678 0.007146941 0.02544311 0.0028587764 0.0051457975 0.01815323 0.0051457975 0.004002287 0.0028587764 0.010291595 0.008290452 0.00028587764 0.00085763296 0.0052887364 0.0011435106 0.0010005718 0.00085763296 0.0057175527 0.0005717553 0.0027158377 0.0044311034 0.007146941 0.010005717 0.00485992 0.0055746143 0.0011435106 0.00028587764 0.0007146941 0.0014293882 0.0052887364 0.0050028586 0.0055746143 0.012578616 0.0030017153 0.045311607 0.012864494 0.015294454 0.019868497 0.09162378 0.017152658 0.019725557 0.009291023 0.06575186 0.0021440822 0.0042881644 0.04988565 0.01686678 0.043882217 0.03787879 0.013150372 0.0020011435 0.06460835 0.024585478 0.04488279 0.02672956 0.010720411 0.0025728988 0.0044311034 0.004145226 0.0022870211 0.0007146941 0.004002287 0.00085763296 0.00042881648 0.0007146941 5.3461843 0.0 0.0 0.0 2.0 105984.0 126976.0 0.0 52.0 67.0 1.0 1.0 0.0 0.0 0.0 1521630300.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 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 12.0 0.0 6.0 0.0 6.0 0.0 54272.0 1024.0 4096.0 7.0 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 40448.0 0.0 -512.0 0.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -54272.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.8993354 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.1594205 0.0 -1.3112781 0.0 0.0 4.8648596 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.837235 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.440404 0.0 3.197428 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -468.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40012.0 0.0 -32.0 0.0 0.0 2256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3744.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -53803.0 0.0 4224.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -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 -1.0 0.0 0.0 -1.0 -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 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 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 1.0 -1.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -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 1.0 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 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1252.0 98496.0 80.0 99748.0 4224.0 114688.0 2256.0 106496.0 0.0 0.0 468.0 122880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 112.0 94944.0 0.0 0.0 560.0 61440.0 0.0 0.0 0.0 0.0