Input: 0.30205762 0.01733539 0.0070987656 0.009259259 0.041512344 0.0070987656 0.011471193 0.003909465 0.0047839507 0.0035493828 0.004012346 0.0031893004 0.0023148148 0.0054012346 0.0021604938 0.0043209875 0.0034979424 0.0012860083 0.0011831275 0.003960905 0.0034979424 0.002829218 0.0026748972 0.0024176955 0.0027777778 0.0013888889 0.0025205761 0.0015946502 0.0021090535 0.0038065843 0.0018518518 0.002006173 0.015226337 0.0019547325 0.0017489712 0.0010802469 0.0066358023 0.0033436215 0.0016975309 0.0030349793 0.0038580247 0.0013374486 0.002006173 0.0029320987 0.0015432099 0.0026234568 0.0068930043 0.0030864198 0.017541151 0.005658436 0.0052983537 0.003755144 0.002469136 0.005658436 0.0011316872 0.0015432099 0.0050925924 0.0017489712 0.0030349793 0.0022119342 0.0025205761 0.003292181 0.0035493828 0.0019547325 0.005658436 0.006378601 0.0026748972 0.003909465 0.0063271606 0.0032407406 0.0019547325 0.0033436215 0.016306585 0.0044753086 0.00082304527 0.0016460905 0.004526749 0.0021604938 0.0033436215 0.0011831275 0.005709877 0.0007201646 0.0014917696 0.004372428 0.0027263374 0.0055555557 0.0014403292 0.0013374486 0.002829218 0.0005144033 0.002006173 0.0010288066 0.002469136 0.0014403292 0.0011316872 0.003292181 0.0012860083 0.008230452 0.002006173 0.0064814813 0.0035493828 0.012808642 0.002057613 0.00313786 0.003292181 0.0083847735 0.0007201646 0.0008744856 0.004063786 0.0060185185 0.00781893 0.006532922 0.0042695473 0.0008744856 0.008641975 0.0068415636 0.014557613 0.004218107 0.0016975309 0.0022633744 0.0018518518 0.0033950617 0.00077160494 0.00082304527 0.00082304527 0.00082304527 0.0005144033 0.0010288066 0.003292181 0.0015946502 0.003600823 0.005915638 0.0014917696 0.002366255 0.003755144 0.00077160494 0.00082304527 0.0044753086 0.0009773662 0.008076131 0.0007201646 0.0028806585 0.0005658436 0.00046296295 0.00077160494 0.0005144033 0.0009259259 0.00077160494 0.0011831275 0.0011316872 0.0008744856 0.0007201646 0.0007201646 0.00077160494 0.0007201646 0.0007201646 0.0007201646 0.0006687243 0.0003600823 0.0006687243 0.0016975309 0.0009773662 0.0007201646 0.0009773662 0.0007201646 0.00046296295 0.00082304527 0.0006687243 0.0017489712 0.0009259259 0.0008744856 0.000617284 0.0005144033 0.00041152263 0.0005658436 0.0008744856 0.0008744856 0.0006687243 0.0006687243 0.0009259259 0.0009773662 0.0005144033 0.00077160494 0.00082304527 0.0009773662 0.00082304527 0.00082304527 0.0009259259 0.0007201646 0.0008744856 0.000617284 0.0005658436 0.0038580247 0.001234568 0.0012860083 0.0029835391 0.0026234568 0.000617284 0.0009259259 0.0011316872 0.0018004115 0.0014403292 0.0011831275 0.0007201646 0.0044753086 0.0010288066 0.001234568 0.0008744856 0.001234568 0.0013888889 0.0014403292 0.00077160494 0.0006687243 0.0005144033 0.000617284 0.0011316872 0.0013374486 0.0010802469 0.0007201646 0.0010288066 0.00082304527 0.0009773662 0.000617284 0.00082304527 0.001234568 0.0007201646 0.0006687243 0.0005658436 0.0010802469 0.000617284 0.000617284 0.0006687243 0.0062242798 0.001234568 0.001234568 0.0015432099 0.002469136 0.000617284 0.0010288066 0.00077160494 0.0018004115 0.0013374486 0.0011316872 0.0011316872 0.0010288066 0.00077160494 0.00046296295 0.002366255 0.0013888889 0.00082304527 0.0006687243 0.0009259259 0.00082304527 0.0009259259 0.00077160494 0.008590535 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04971852 0.0024988512 0.0014648438 0.0006606158 0.0005457261 0.00057444855 0.0006606158 0.0003159467 0.0006318934 0.00020105699 8.616728e-05 8.616728e-05 0.00040211398 0.0003159467 0.00025850185 0.00040211398 0.04641544 0.0007755055 0.0007467831 0.0028147977 0.001953125 0.0011201747 0.0008903952 0.00022977941 0.0012063419 0.00025850185 8.616728e-05 5.7444853e-05 0.00017233456 5.7444853e-05 0.00048828125 0.001551011 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03469669 0.0007755055 0.0022403493 0.011259191 0.0053423713 0.0010627297 0.00048828125 0.00014361214 0.0007467831 0.00017233456 5.7444853e-05 0.0 8.616728e-05 0.0 0.00025850185 0.0014935662 0.13295612 0.00485409 0.01338465 0.015452665 0.01585478 0.007869945 0.024069393 0.0127240345 0.0014648438 0.0004308364 0.00045955883 0.00048828125 0.0020392924 0.0005457261 0.0010340074 0.0016659007 0.027832031 0.001752068 0.0038200826 0.001551011 0.002096737 0.0034466912 0.010483686 0.0063763787 0.00017233456 0.00017233456 0.00014361214 0.00020105699 0.00017233456 0.00020105699 0.00025850185 0.00014361214 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.056525737 0.0034754137 0.0061753215 0.0024988512 0.010110294 0.0024988512 0.0025850183 0.00295841 0.009966682 0.0008616728 0.001005285 0.0012350644 0.006462546 0.0022690718 0.00402114 0.0049977023 0.021943934 0.0021829044 0.003504136 0.003963695 0.006606158 0.0033605238 0.006204044 0.004566866 0.0012925091 0.0006318934 0.00094784005 0.00040211398 0.00080422795 0.00057444855 0.0008903952 0.00094784005 0.028463924 0.00580193 0.006462546 0.004107307 0.017003676 0.00390625 0.0019244025 0.003848805 0.016285615 0.00083295035 0.0005170037 0.0018095128 0.011029412 0.0028435201 0.0073816637 0.0054285387 0.04342831 0.015682444 0.020536534 0.023839613 0.011029412 0.014045266 0.029928768 0.022001378 0.009535845 0.00591682 0.0071231616 0.0063763787 0.0063763787 0.006663603 0.006146599 0.006663603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 166.0 19.036144 3160.0 0.04651899 0.0003164557 0.0015822785 0.0006329114 0.009177215 0.0006329114 0.0025316456 0.0066455696 0.00094936707 0.0006329114 0.0003164557 0.0015822785 0.0006329114 0.011075949 0.030063292 0.014873418 0.03765823 0.017405063 0.012025316 0.006329114 0.0025316456 0.0053797467 0.0025316456 0.00094936707 0.0034810128 0.0034810128 0.006329114 0.0003164557 0.004113924 0.0025316456 0.0034810128 0.0006329114 0.0015822785 0.01898734 0.0003164557 0.014240506 0.02056962 0.0053797467 0.0028481013 0.013291139 0.0037974683 0.014556962 0.0 0.0012658228 0.0022151899 0.0012658228 0.012025316 0.0006329114 0.013924051 0.0003164557 0.0044303797 0.015189873 0.010759493 0.0018987341 0.0034810128 0.00094936707 0.012341772 0.0 0.006012658 0.0 0.00094936707 0.0003164557 0.0018987341 0.013291139 0.0006329114 0.04050633 0.006012658 0.033860758 0.015189873 0.062025316 0.006012658 0.011392405 0.011708861 0.040822785 0.00094936707 0.0022151899 0.01835443 0.031329114 0.038607594 0.030063292 0.015506329 0.0012658228 0.04208861 0.03607595 0.06487342 0.012974683 0.007278481 0.0085443035 0.0066455696 0.014873418 0.0025316456 0.0003164557 0.0003164557 0.0003164557 0.0 0.0006329114 5.5661864 0.0 15.0 0.0 2.0 19440.0 32768.0 1.0 0.0 26.0 1.0 1.0 1.0 0.0 0.0 1543366000.0 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 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 3584.0 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 2560.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 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 -2.6841838 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.2759213 0.0 0.0 0.0 0.0 3.6348433 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.96903336 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.470996 0.0 4.4708104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2416.0 0.0 0.0 0.0 0.0 396.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3411.0 0.0 3864.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 9620.0 3864.0 24576.0 396.0 16384.0 6128.0 13312.0 20.0 28672.0 28.0 8528.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 8560.0 0.0 0.0 232.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.052368164 0.0036010742 0.0016479492 0.0015369762 0.0022028142 0.000682484 0.00070467865 0.00072687323 0.003301447 0.000588157 0.0007990057 0.00040505148 0.0018698953 0.00097101385 0.00028852982 0.0015147816 0.0022361062 0.00025523792 0.00017755682 0.00018865411 0.0007990057 0.0010154031 0.0002607866 0.00015536221 0.0007213246 0.0002607866 0.00020530006 0.00025523792 0.0004161488 0.0003273704 0.00022749467 0.00020530006 0.0026689009 0.00035511365 0.00024968927 0.00034956497 0.0009377219 0.00019975142 0.00013316762 0.00013871626 0.00032182175 9.987571e-05 7.2132454e-05 0.012545499 0.00025523792 0.00019420277 0.00024414062 0.012073863 0.012123802 0.012423429 0.0118685635 0.0132890185 0.011912953 0.01241788 0.012162642 0.011907404 0.012501109 0.012939453 0.00027188388 0.0013150302 0.00031072443 0.00047718396 0.00023304332 0.00018310547 0.00600364 0.012606534 0.012784091 0.012384588 0.013394442 0.014626243 0.013144753 0.012440074 0.012772993 0.012390137 0.012595437 0.012356845 0.011957342 0.012717507 0.012711958 0.01258434 0.014049184 0.012645375 0.012784091 0.013710716 0.012373491 0.013427734 0.013355602 0.01282848 0.011829723 0.013616389 0.011385831 0.0003828569 0.00019420277 0.0010819868 0.0006935813 0.00057705963 0.00023859198 0.012817383 0.012112704 0.012667569 0.012401234 0.014065829 0.01258434 0.012423429 0.013338956 0.013172496 0.013388894 0.012173739 0.01278964 0.012467817 0.012756348 0.013344505 0.0126287285 0.012012828 0.01344438 0.012523305 0.015491832 0.01627974 0.012689764 0.012112704 0.012012828 0.012096059 0.011546742 0.000110973015 0.00021639737 0.00082674896 0.00022749467 0.00024968927 0.00067693536 0.00053267047 0.00033291904 0.0035955256 0.0006713867 0.0016867898 0.00016645952 0.00012207031 0.0008988814 0.0028852983 0.0007324219 0.008445046 0.00027743253 0.001492587 0.00024968927 0.00025523792 0.0010930841 0.00022194603 5.5486507e-05 9.432706e-05 0.00017755682 0.00022194603 9.432706e-05 0.00013316762 0.00016091087 6.658381e-05 7.2132454e-05 4.4389206e-05 0.00016645952 0.00010542436 7.2132454e-05 7.2132454e-05 0.00015536221 0.0007324219 0.00017200816 0.00047163529 0.0002607866 0.00018310547 0.00015536221 0.00019420277 0.00027743253 0.00022749467 0.00021084872 9.987571e-05 9.987571e-05 6.658381e-05 6.1035156e-05 7.2132454e-05 0.00012207031 0.00029962714 0.00019420277 8.877841e-05 0.00021639737 7.768111e-05 0.0003828569 0.00016645952 0.00037175958 0.00017200816 0.00021084872 0.00027188388 0.00017755682 0.00018865411 0.00028852982 0.00014426491 0.002125133 0.00082674896 0.00033291904 0.0017034357 0.001048695 0.00025523792 0.0009821112 0.002064098 0.000571511 0.0007490678 0.00016645952 0.00014426491 0.0020474521 0.00012207031 0.00013871626 0.00015536221 0.00047718396 0.0003606623 0.00027188388 0.0004161488 0.00028298117 6.658381e-05 0.00036621094 0.00012207031 0.0005049272 0.00016091087 0.00014426491 0.00025523792 0.00083784625 0.000110973015 7.2132454e-05 0.00010542436 0.0006713867 0.00026633524 0.00026633524 0.000110973015 0.00068803265 0.00021639737 0.00016091087 0.000110973015 0.003956188 0.0005215732 0.00014981357 0.0012650923 0.001270641 0.00011652166 0.00019420277 0.00017200816 0.0009377219 0.00024968927 7.768111e-05 0.00033846768 0.0007213246 9.432706e-05 0.00047718396 0.00053267047 0.0014537465 0.0003273704 0.0002607866 0.00039950284 0.0018976385 0.00055486505 0.0011818625 0.011968439 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004606585 0.00027622769 0.0002092634 5.580357e-05 0.00016183035 5.580357e-05 8.649554e-05 5.301339e-05 2.5111607e-05 7.2544644e-05 1.1160714e-05 1.3950893e-05 3.0691965e-05 5.580357e-06 5.580357e-06 4.4642857e-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 0.0041629463 0.00019810267 0.00018415178 1.674107e-05 0.00032645089 9.4866075e-05 0.00012555804 8.370536e-05 4.7433037e-05 2.7901786e-05 0.00017857143 5.580357e-05 7.8125e-05 4.185268e-05 1.953125e-05 7.2544644e-05 0.0033816965 0.0001171875 5.859375e-05 6.975447e-05 0.0003515625 0.00016741072 0.0008872768 0.00046875 1.1160714e-05 7.2544644e-05 1.674107e-05 2.2321428e-05 5.580357e-06 1.1160714e-05 2.5111607e-05 4.7433037e-05 0.009564732 0.00036830356 0.02483538 0.11941964 0.18123604 0.13232422 0.18179129 0.1311914 0.00057756697 9.4866075e-05 0.0002622768 0.0001171875 0.00044921876 0.00023158483 0.00013950893 0.00025390624 0.006609933 0.0003794643 0.0009877232 0.00036272322 0.0007310268 0.00045200894 0.0035574776 0.0017857143 0.00029575892 0.00018973215 0.0005189732 0.00018136161 0.00020089286 0.00020368304 0.00018694196 0.000499442 0.001623884 1.953125e-05 0.0001311384 0.0006417411 0.0009821429 0.00060267857 0.00089564733 0.00067801337 2.2321428e-05 1.1160714e-05 1.1160714e-05 1.3950893e-05 0.0 1.1160714e-05 8.370535e-06 6.138393e-05 0.009520089 0.0007533482 0.0007672991 0.0005245536 0.0020758929 0.0013364955 0.0019893972 0.0015876116 0.0027455357 0.0002092634 0.0006501116 0.0003515625 0.002218192 0.0009821429 0.000811942 0.0020479911 0.014358259 0.0019642857 0.0017271205 0.0018889509 0.0054017855 0.0040234374 0.0013337054 0.0035742188 0.0090708705 0.0008844866 0.00068359374 0.0010993304 0.004313616 0.0014174107 0.0039006697 0.0072154016 0.017282367 0.0036300223 0.0018610491 0.0038085938 0.0064285714 0.006275112 0.0025083704 0.0053348215 0.010354353 0.0012890626 0.0011160715 0.0015206473 0.006205357 0.0016685268 0.005092076 0.011339285 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 206.0 688.9466 141923.0 0.0019658548 4.2276446e-05 0.00011273719 2.8184297e-05 4.932252e-05 2.8184297e-05 2.8184297e-05 4.2276446e-05 3.5230372e-05 3.5230372e-05 2.8184297e-05 0.015515456 4.932252e-05 0.00018319793 0.00015501364 0.015268843 0.015043369 0.015656376 0.014965862 0.015120875 0.01482494 0.015071553 0.015353396 0.0150081385 0.015487271 0.015747976 7.750682e-05 3.5230372e-05 0.00012682934 7.0460745e-05 0.00010569111 2.8184297e-05 7.0460745e-05 0.015719792 0.015888898 0.015374534 0.016022773 0.015254751 0.015769115 0.015275889 0.0157057 0.0154731795 0.015797298 0.015522501 0.014684019 0.014310577 0.015776161 0.015747976 0.01620597 0.015402718 0.015910035 0.016508952 0.015459087 0.0153181655 0.015776161 0.0153181655 0.014705157 0.015275889 0.014303531 4.932252e-05 2.1138223e-05 5.6368594e-05 4.2276446e-05 4.932252e-05 2.8184297e-05 0.01613551 0.01534635 0.015994588 0.01534635 0.017509494 0.015522501 0.015663423 0.015874805 0.016649874 0.015466133 0.015339304 0.015917081 0.015776161 0.016121417 0.01681898 0.015649332 0.015120875 0.016508952 0.015670469 0.016755564 0.016515998 0.015423857 0.014965862 0.014846078 0.015198383 0.014585374 2.1138223e-05 2.1138223e-05 2.1138223e-05 2.1138223e-05 7.750682e-05 6.023774 0.0 0.0 0.0 36.0 180224.0 192512.0 0.0 0.0 60.0 0.0 1.0 0.0 0.0 0.0 1544918900.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 29696.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7168.0 0.0 0.0 0.0 0.0 0.0 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 -29696.0 0.0 138752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.5441346 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4884503 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5716295 0.0 6.013718 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6906.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29268.0 0.0 138500.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 42356.0 138500.0 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 41592.0 0.0 0.0 244.0 36864.0 0.0 0.0 0.0 0.0


Input: 0.4118147 0.008892161 0.00390802 0.0050407792 0.0064850478 0.003992977 0.00642841 0.0023504759 0.0030301313 0.00195401 0.0024920707 0.001869053 0.0015858632 0.0028318984 0.0012177164 0.002152243 0.002010648 0.00090620754 0.00084956957 0.002180562 0.0024354327 0.001755777 0.0013876302 0.0012460353 0.0015009062 0.0007079746 0.0011327594 0.0012177164 0.0011610783 0.0020672858 0.00090620754 0.0010194834 0.03987313 0.003794744 0.0010478024 0.00053806073 0.0031717264 0.0033982783 0.0013593113 0.0049558226 0.0027752605 0.0016141821 0.0011893974 0.0016991391 0.00084956957 0.0018124151 0.005777073 0.0024354327 0.009515179 0.0045310375 0.0041345716 0.0028885365 0.0010194834 0.0009628455 0.0005946987 0.00082125055 0.0013026734 0.0007929316 0.0012177164 0.00082125055 0.00090620754 0.00090620754 0.00062301767 0.00067965564 0.0016425011 0.004304486 0.0007646126 0.003681468 0.0054655643 0.0031150884 0.0013026734 0.0025770275 0.008948799 0.003992977 0.0003681468 0.00053806073 0.0036248302 0.0015858632 0.0032850022 0.0007646126 0.0052106935 0.00048142276 0.0014159492 0.004162891 0.0017274581 0.0035965112 0.0008778885 0.0007646126 0.0023787948 0.00022655189 0.0009345265 0.0005946987 0.0011893974 0.00062301767 0.0005946987 0.001869053 0.0007646126 0.021409152 0.0033982783 0.012686905 0.013083371 0.027497735 0.002180562 0.0038230629 0.0030018124 0.017217943 0.0011044404 0.00067965564 0.009033756 0.005692116 0.019596737 0.018294064 0.006031944 0.0007362936 0.0148957865 0.016311735 0.016963072 0.00753285 0.0023221567 0.0013593113 0.0026053467 0.0026619846 0.0007929316 0.00042478478 0.0005097417 0.00042478478 0.00031150883 0.0005663797 0.0014159492 0.00084956957 0.001897372 0.0031434074 0.0009628455 0.0012460353 0.0020389669 0.00031150883 0.0005663797 0.0023221567 0.0007079746 0.0044177617 0.00031150883 0.0015009062 0.00028318985 0.00025487086 0.00033982782 0.00025487086 0.00048142276 0.00048142276 0.0005946987 0.00048142276 0.00042478478 0.00031150883 0.00053806073 0.00045310377 0.00033982782 0.0003964658 0.0003964658 0.00048142276 0.00022655189 0.00028318985 0.0008778885 0.0005097417 0.0005663797 0.00048142276 0.00048142276 0.00025487086 0.0005097417 0.0003964658 0.0009911645 0.0005663797 0.00062301767 0.00028318985 0.00031150883 0.0003681468 0.0003681468 0.00048142276 0.0007646126 0.0003964658 0.00053806073 0.00042478478 0.0005946987 0.00033982782 0.00042478478 0.00045310377 0.0006513367 0.00042478478 0.0005097417 0.0005946987 0.0003964658 0.00033982782 0.00033982782 0.00042478478 0.0022371998 0.0006513367 0.0005663797 0.0017274581 0.0013876302 0.00045310377 0.0005663797 0.0007646126 0.00090620754 0.0007646126 0.0007646126 0.0003681468 0.0028318984 0.0005946987 0.00062301767 0.0005663797 0.00048142276 0.0007646126 0.0007079746 0.00045310377 0.00045310377 0.0003964658 0.0001982329 0.0006513367 0.0008778885 0.00053806073 0.00048142276 0.0006513367 0.0003964658 0.00048142276 0.00042478478 0.0003964658 0.00067965564 0.0010194834 0.00045310377 0.00025487086 0.0010478024 0.00031150883 0.00031150883 0.0003964658 0.0033416403 0.0007079746 0.00067965564 0.0007929316 0.0012177164 0.00048142276 0.00042478478 0.00042478478 0.0010761215 0.00062301767 0.0006513367 0.003738106 0.0003964658 0.00025487086 0.00016991391 0.0013026734 0.0007079746 0.0003964658 0.00084956957 0.00053806073 0.00045310377 0.00031150883 0.0005663797 0.0038230629 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.026781486 0.0012576941 0.0005918561 8.877841e-05 0.00023674243 0.00019235323 0.00028113162 0.00019235323 5.9185608e-05 2.9592804e-05 5.9185608e-05 0.000118371216 0.000103574814 0.000103574814 7.398201e-05 0.00013316762 0.025139086 0.0014500474 0.00069543085 0.000118371216 0.00022194603 0.00019235323 0.00039950284 0.00026633524 0.00045868845 0.00016276042 0.00017755682 0.00019235323 0.00014796402 0.00013316762 0.00039950284 0.00014796402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.13248698 0.0006658381 0.02158795 0.0025005918 0.0041133994 0.0025597773 0.052911934 0.021809896 0.00054746686 0.00023674243 0.00023674243 0.00017755682 0.00013316762 0.00014796402 0.00063624524 0.0016719934 0.15383819 0.0008581913 0.026929451 0.0051047583 0.008285984 0.0040098247 0.07341974 0.02743253 1.4796402e-05 4.4389206e-05 0.000103574814 8.877841e-05 5.9185608e-05 0.0 0.0005918561 0.002249053 0.018140389 0.0010209517 0.0022046638 0.0008877841 0.001035748 0.001287287 0.001657197 0.001035748 0.0005918561 0.00013316762 0.00014796402 0.00014796402 0.001035748 4.4389206e-05 0.00032552084 0.00060665247 0.023999764 0.0009765625 0.004350142 0.0022786458 0.0067619556 0.0042169746 0.011067708 0.0058001895 0.00016276042 0.000103574814 0.00019235323 0.00017755682 0.000118371216 5.9185608e-05 0.00017755682 0.00016276042 0.04103042 0.0023822207 0.0047644414 0.0032995977 0.0102243135 0.0034771543 0.004971591 0.0037138967 0.005341501 0.000517874 0.00073982007 0.0007694129 0.0036251184 0.0012576941 0.002175071 0.0026189631 0.012325402 0.0016276041 0.0015684186 0.0025893704 0.0010505446 0.0014204546 0.0029296875 0.0018199574 0.0010061553 0.00050307764 0.00073982007 0.00039950284 0.00057705963 0.00044389206 0.00057705963 0.0007250237 0.014766809 0.0030480586 0.003284801 0.0021158855 0.00871508 0.0017903646 0.0009173769 0.002175071 0.008285984 0.00054746686 0.00036991003 0.0009025805 0.005637429 0.0015240293 0.0037730823 0.0027521306 0.022209398 0.0080048535 0.0110085225 0.011541193 0.005563447 0.006821141 0.0146484375 0.0113932295 0.00501598 0.003284801 0.0038618608 0.0034771543 0.003758286 0.0038026753 0.003210819 0.003610322 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 167.0 20.502995 3424.0 0.042932242 0.00029205607 0.0017523364 0.00058411213 0.008469626 0.00058411213 0.0023364485 0.006133178 0.0008761682 0.00058411213 0.00029205607 0.0014602804 0.0008761682 0.010514019 0.028621495 0.013726636 0.034462616 0.016939253 0.011682243 0.0064252336 0.0023364485 0.004672897 0.0026285048 0.0008761682 0.0026285048 0.0032126168 0.006133178 0.00029205607 0.0035046728 0.0023364485 0.0032126168 0.00058411213 0.0014602804 0.024240654 0.00029205607 0.01343458 0.032418225 0.0055490653 0.0020443925 0.018983645 0.0035046728 0.020443926 0.0 0.0011682243 0.0023364485 0.0011682243 0.01781542 0.00058411213 0.020443926 0.00029205607 0.0049649533 0.014310747 0.009929907 0.0023364485 0.0035046728 0.0014602804 0.018107476 0.0 0.0055490653 0.0 0.0032126168 0.00029205607 0.0017523364 0.012850467 0.00058411213 0.03796729 0.0058411215 0.032418225 0.014602804 0.05899533 0.0055490653 0.011098131 0.011098131 0.038259346 0.0008761682 0.0020443925 0.018691588 0.028621495 0.03709112 0.028913552 0.015186916 0.0014602804 0.038843457 0.034462616 0.059871495 0.011974299 0.0070093456 0.007885514 0.0064252336 0.013726636 0.0023364485 0.00029205607 0.00029205607 0.00029205607 0.00029205607 0.00058411213 5.593281 0.0 15.0 0.0 2.0 35312.0 49152.0 1.0 0.0 26.0 1.0 1.0 1.0 0.0 0.0 1543451000.0 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 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 6.0 0.0 6.0 0.0 3584.0 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 3072.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 19456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.6841838 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.380857 0.0 0.0 0.0 0.0 3.493038 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.96903336 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.48172 0.0 3.5629761 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2600.0 0.0 0.0 0.0 0.0 384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3395.0 0.0 19040.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 9804.0 19040.0 24576.0 384.0 16384.0 6128.0 29184.0 20.0 45056.0 84.0 8528.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 8624.0 0.0 0.0 232.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.056626946 0.008292346 0.0061652013 0.0056489343 0.0057503255 0.0049702344 0.0041973856 0.0054213214 0.00504783 0.005623069 0.0037494025 0.0044591404 0.004960923 0.0031772668 0.0043256767 0.0046391613 0.005036449 0.0037597485 0.004927816 0.0041591055 0.004363957 0.003184509 0.0041104793 0.003849759 0.005078868 0.003343838 0.003163817 0.0029299967 0.004149794 0.0034400562 0.0037814751 0.003792856 0.0061641666 0.0038249285 0.0034907516 0.0030251802 0.0048895353 0.004168417 0.003841482 0.0037225028 0.0047229645 0.0038973507 0.0033396997 0.0030965677 0.0043649916 0.0037173298 0.0037173298 0.0035869698 0.0055154706 0.003949081 0.0031038101 0.002892751 0.0036769803 0.0030810488 0.0026878994 0.0028606784 0.0041870396 0.0033127998 0.003529032 0.0033510802 0.0039925342 0.0032300316 0.0035021324 0.003453506 0.0065883542 0.0039573577 0.0036200772 0.0032269277 0.0041539324 0.0032196855 0.0035466203 0.0030820833 0.005000238 0.003779406 0.0037059493 0.003585935 0.004131171 0.0031307098 0.0035569663 0.0034669559 0.0051533594 0.0036252502 0.0036562881 0.003333492 0.0039201123 0.0033790146 0.0033686685 0.0035383434 0.0046432996 0.003649046 0.003800098 0.0035114437 0.0041042715 0.0033914298 0.0036935338 0.0037804407 0.0059117237 0.0036283538 0.003346942 0.0029517233 0.004014261 0.0030624259 0.0032672773 0.0030355263 0.0049671307 0.0031710593 0.0032103742 0.0030458723 0.0035828315 0.0028410207 0.003098637 0.0031865784 0.0045139743 0.0032827964 0.0032227894 0.003137952 0.0038911432 0.0033448725 0.0032879694 0.0036252502 0.004619504 0.0032941771 0.003474198 0.0031669207 0.0040287455 0.0031886476 0.0034710942 0.0033407342 0.008636869 0.004597777 0.0040132264 0.0035217898 0.004373268 0.0034400562 0.0030189725 0.0033893606 0.004530528 0.0038259632 0.002968277 0.0031876129 0.0037318142 0.0028058442 0.0028544706 0.0029796576 0.0052361274 0.0032010628 0.0034979938 0.0030344916 0.003654219 0.003179336 0.0033107307 0.0032693467 0.0045501855 0.00284309 0.0030458723 0.0027034185 0.003520755 0.0032341701 0.0029962112 0.0031462288 0.0050023072 0.003414191 0.0032755542 0.0027903253 0.0037752676 0.0030210419 0.0030562184 0.0031865784 0.004134275 0.002994142 0.0031224329 0.003009661 0.003640769 0.0028410207 0.002918616 0.0030427685 0.0046650264 0.0031265712 0.0038373438 0.0028555053 0.0035662777 0.0031451941 0.002994142 0.0031255367 0.0042501506 0.0031441594 0.0033407342 0.003179336 0.003654219 0.003189682 0.0033293536 0.0033603916 0.0067176796 0.004063922 0.0037338834 0.0033345267 0.00410841 0.003254862 0.0033003846 0.0032279624 0.0043277456 0.0033345267 0.0031151907 0.0030758758 0.0036376654 0.0029879345 0.0030820833 0.0028006712 0.0042460123 0.0032796925 0.0030893255 0.003002419 0.0037080185 0.0030169033 0.0029382736 0.0029413772 0.003972877 0.0031172598 0.0027375605 0.0026403076 0.0035321359 0.0029506888 0.0035714507 0.0028855088 0.0049516116 0.0032414123 0.0033893606 0.002978623 0.0038269977 0.0030769103 0.0031989936 0.00290827 0.0044436213 0.005459602 0.0034710942 0.003140021 0.0037856137 0.0030738066 0.0032414123 0.0031886476 0.0046101925 0.003320042 0.0034307446 0.0030469068 0.003743195 0.0030841525 0.003309696 0.003244516 0.0043494725 0.003026215 0.0031876129 0.002863782 0.0040152958 0.0030976024 0.004226355 0.0045108707 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.004581654 0.0002928651 0.00027109458 0.00027057625 0.00029960356 0.0002405122 0.00033174097 0.00030737874 0.00033122263 0.00035091976 0.00032811257 0.0003514381 0.000520937 0.0001534302 0.00018401258 0.000738642 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.099174485 0.06201483 0.062451277 0.055314697 0.060615297 0.05953714 0.054980885 0.054460466 0.06046342 0.05319622 0.05212895 0.05296763 0.056427587 0.050556805 0.056667577 0.053841043 4025.0 5.703354 22956.0 0.01716327 0.010454783 0.009365743 0.008668758 0.013460533 0.012545739 0.011805193 0.011587384 0.012545739 0.009757797 0.00845095 0.008668758 0.013852588 0.010585468 0.011761631 0.009932044 0.016771214 0.011848754 0.00875588 0.0074925944 0.009801359 0.008494511 0.007841087 0.0083202645 0.0102805365 0.00845095 0.009670674 0.008843004 0.011500262 0.008973689 0.009670674 0.009191497 0.018034501 0.010890399 0.010324098 0.009060812 0.010803276 0.008886565 0.010672591 0.008407388 0.01420108 0.011630946 0.009757797 0.008973689 0.011413138 0.009365743 0.011630946 0.009583551 0.014767381 0.009627113 0.009932044 0.009147936 0.012066562 0.009322181 0.009670674 0.009757797 0.013721903 0.009322181 0.010541907 0.00953999 0.011151768 0.009801359 0.01036766 0.010672591 0.017947378 0.0109775225 0.009714236 0.00818958 0.013068479 0.0083202645 0.009365743 0.008407388 0.015420805 0.00927862 0.008886565 0.00871232 0.011326015 0.007971772 0.009932044 0.007841087 0.013199164 0.007971772 0.008799442 0.00875588 0.0114567 0.009409305 0.00818958 0.00792821 0.010933961 0.008886565 0.011892316 0.008581635 0.011282453 0.009060812 0.009932044 0.008799442 6.554777 0.0 0.0 0.0 14.0 966554.0 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: 0.34460747 0.032679114 0.022722943 0.01119474 0.016720656 0.012338034 0.02157965 0.0060022864 0.008479421 0.0042873477 0.010623095 0.0062404727 0.002905869 0.0028105946 0.006335747 0.0018578506 0.0035251523 0.0066215703 0.01224276 0.0037633383 0.0012862043 0.0028105946 0.001238567 0.0015720275 0.0023818598 0.0008574695 0.00052400917 0.0018102134 0.002905869 0.0019054879 0.00271532 0.0011909299 0.0076695886 0.0023342227 0.0023342227 0.0018102134 0.002191311 0.0020483993 0.0016673019 0.0008574695 0.0071455794 0.0010956555 0.006907393 0.0010956555 0.0009527439 0.0018102134 0.0035251523 0.0005716463 0.0033346037 0.0011432926 0.0008574695 0.00071455794 0.0010003811 0.0007621951 0.0008574695 0.0005716463 0.001714939 0.001953125 0.0021436738 0.00052400917 0.00271532 0.0006192835 0.0018102134 0.0008574695 0.001476753 0.00271532 0.0019054879 0.002667683 0.0027629572 0.0064786584 0.002667683 0.0016673019 0.0014291159 0.0040491614 0.0010480183 0.00033346037 0.001953125 0.001476753 0.0012862043 0.0013814786 0.0047160825 0.0010003811 0.0015243902 0.003191692 0.0038109757 0.0021436738 0.0015243902 0.00052400917 0.0010003811 0.0009051067 0.00038109755 0.00066692074 0.0015243902 0.0005716463 0.0015243902 0.0065262956 0.0013814786 0.016387194 0.0022865853 0.013004954 0.009527439 0.027057927 0.002905869 0.0070026675 0.003668064 0.02057927 0.001714939 0.0028105946 0.01119474 0.0054782773 0.018102134 0.02238948 0.006764482 0.0005716463 0.018626144 0.013910061 0.022532394 0.0072408537 0.0014291159 0.00066692074 0.0013338415 0.0047637196 0.0017625762 0.0046684453 0.001476753 0.0026200458 0.0012862043 0.00019054877 0.003191692 0.0022389481 0.00033346037 0.0010003811 0.0006192835 0.00023818598 0.002477134 0.00033346037 0.00033346037 0.00042873475 0.00028582316 0.00023818598 0.00071455794 0.00047637196 0.00066692074 0.00023818598 0.00028582316 0.00042873475 0.0006192835 0.00033346037 0.00042873475 0.00023818598 0.00038109755 0.00014291158 0.00038109755 0.00033346037 0.00047637196 0.00014291158 0.00023818598 0.00042873475 0.00028582316 9.527439e-05 0.0005716463 0.00066692074 0.0010480183 4.7637193e-05 0.00071455794 0.00028582316 9.527439e-05 9.527439e-05 0.00052400917 0.00047637196 0.0008574695 0.00028582316 0.00028582316 9.527439e-05 0.0018578506 0.00042873475 0.00014291158 0.00014291158 0.00028582316 0.00014291158 0.00052400917 0.00014291158 4.7637193e-05 4.7637193e-05 0.00038109755 9.527439e-05 0.00042873475 0.0009051067 0.00028582316 0.00042873475 0.00042873475 4.7637193e-05 0.00066692074 0.00033346037 9.527439e-05 4.7637193e-05 0.00028582316 0.00023818598 0.0018102134 4.7637193e-05 0.00042873475 4.7637193e-05 0.00014291158 9.527439e-05 0.00038109755 0.00014291158 4.7637193e-05 9.527439e-05 0.00071455794 0.00014291158 0.001476753 0.00014291158 0.00014291158 0.00033346037 0.0008574695 9.527439e-05 0.00014291158 0.00028582316 9.527439e-05 0.00028582316 0.00033346037 0.00023818598 9.527439e-05 9.527439e-05 0.0008574695 0.00038109755 9.527439e-05 4.7637193e-05 0.00019054877 9.527439e-05 0.0013338415 0.0 0.00028582316 9.527439e-05 0.00071455794 0.00014291158 0.00023818598 0.00014291158 0.00019054877 0.0007621951 0.00028582316 0.00023818598 0.00028582316 0.00038109755 0.00019054877 0.0006192835 0.0 0.00014291158 0.00023818598 0.0007621951 4.7637193e-05 0.00014291158 0.00014291158 0.00038109755 0.0006192835 0.0011909299 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042351972 0.00017989309 0.00071957236 0.0006938733 0.00084806746 0.0006938733 0.0047286185 0.00208162 5.1398027e-05 0.0 2.5699013e-05 5.1398027e-05 2.5699013e-05 5.1398027e-05 7.709704e-05 5.1398027e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.11443771 0.011384663 0.012875206 0.0061677634 0.012284128 0.012900905 0.09423828 0.048571136 0.0010279606 0.00028268914 0.00046258225 0.00015419407 0.00015419407 0.00012849507 0.00017989309 0.00053967925 0.14298931 0.011333264 0.012052837 0.007632607 0.0090717515 0.0079409955 0.033691406 0.019222861 0.0043431334 0.0023900082 0.0033151726 0.0014134457 0.0012592516 0.0025185032 0.0017732319 0.002210115 0.15607011 0.019685443 0.0152138155 0.006039268 0.007889597 0.0067331414 0.011436061 0.008660567 0.008634868 0.0028268914 0.0048057153 0.0028782894 0.0035207649 0.0030838817 0.0031352795 0.0025442024 0.034770764 0.007144326 0.0047543175 0.0015162418 0.0062962584 0.0047029196 0.027677838 0.015470806 0.0006424753 0.00010279605 0.00028268914 0.00017989309 0.00025699014 5.1398027e-05 0.0007709704 0.0006424753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 14.347059 4878.0 0.0016400164 0.00020500206 0.00020500206 0.00061500614 0.0008200082 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007790078 0.0 0.0008200082 0.0014350143 0.0016400164 0.0004100041 0.0004100041 0.00020500206 0.00020500206 0.00061500614 0.0 0.0 0.0 0.0 0.005740057 0.0 0.005740057 0.0 0.0 0.0047150473 0.006560066 0.009430095 0.00697007 0.00697007 0.008200082 0.003280033 0.0012300123 0.01394014 0.0004100041 0.00061500614 0.003280033 0.003485035 0.0024600246 0.003485035 0.014555146 0.0 0.0051250514 0.010865109 0.0075850757 0.0043050433 0.0008200082 0.00061500614 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025830258 0.0020500205 0.058630586 0.007790078 0.048585486 0.032390323 0.10496105 0.0075850757 0.02398524 0.011480114 0.07544076 0.0010250102 0.009840098 0.037515376 0.019475196 0.06088561 0.05719557 0.017220173 0.00061500614 0.062320624 0.047560476 0.08323083 0.025420254 0.004920049 0.0020500205 0.0043050433 0.015170151 0.0051250514 0.0 0.0 0.0 0.0 0.0 4.845812 0.0 0.0 0.0 1.0 20992.0 49152.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1462694300.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 18944.0 512.0 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 -18944.0 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 -1.2075187 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.581817 0.0 3.0355463 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 -18436.0 0.0 820.0 0.0 0.0 0.0 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 26532.0 820.0 40960.0 0.0 0.0 0.0 0.0 12.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.3630412 0.009343721 0.0066377153 0.0068959496 0.007987081 0.0059830365 0.0057575363 0.0056229634 0.009449197 0.0061103352 0.0056738826 0.007110539 0.00767429 0.00567752 0.0057793586 0.0069323205 0.008099832 0.0053174463 0.0053829146 0.00526289 0.0062994645 0.006412215 0.005619326 0.005030115 0.0058048186 0.005372003 0.0052919867 0.005255616 0.005823004 0.0055975034 0.0051101316 0.0056338743 0.0083326055 0.0052119703 0.0051428652 0.005415648 0.0060157706 0.005088309 0.005346543 0.005164688 0.0055393097 0.005161051 0.005197422 0.0057357135 0.005412011 0.0051428652 0.0052919867 0.005157414 0.00631765 0.0057757217 0.0057429876 0.0070596193 0.0057066167 0.0056593344 0.005444745 0.005473842 0.0059066573 0.0059066573 0.005510213 0.0068523046 0.0058375522 0.0057029794 0.0057320762 0.005888472 0.0022440935 0.0038589677 0.0004946462 0.0017676327 0.001011115 0.0049355505 0.00096019555 0.00094564713 0.000872905 0.0004219041 0.00037462174 0.00019640363 0.0005819367 0.0038116854 0.0004255412 0.00033825068 0.0026296263 0.0015530435 0.000974744 0.0011420507 0.00074196927 0.0026623604 0.0015239466 0.0011493249 0.0004291783 0.0018258264 0.0001782181 0.0005055575 0.00032006518 0.0020767865 0.0007783403 0.00067650137 0.0005310172 0.0022077223 0.00045100093 0.0013020834 0.0013129946 0.0032406598 0.0010002037 0.00057102536 0.001360277 0.0020004073 0.0022804644 0.0005382914 0.0014111964 0.0007528806 0.0012402525 0.002371392 0.0011747847 0.0001782181 0.001916754 0.001327543 0.004466364 0.0051428652 0.0008801792 0.00063285616 0.0006728643 0.00080016296 0.00089109055 0.0008692679 0.0012657123 0.0018076408 0.008441719 0.016079638 0.016959818 0.010216626 0.0010874942 0.0055029388 0.0015712291 0.0035316283 0.0003418878 0.0001673068 0.0008619937 0.0037353062 0.00057466247 0.012362517 0.00037825885 0.0020185928 0.00024004889 0.00021822625 0.00061467063 0.0002545973 0.00011638734 0.0002655086 0.00026187152 0.0003273394 0.00014184706 0.00010183892 0.00028733123 0.0002545973 8.36534e-05 8.72905e-05 0.0002691457 0.00014184706 0.0001636697 0.00013093576 0.00074196927 0.00048373488 0.00011638734 0.0004910091 0.00052010594 0.00018185521 0.00013093576 0.00011275023 0.0004910091 0.00013457285 0.00019276653 0.00016003259 0.00036007332 0.0011347765 0.00030915387 0.00052374305 0.00037462174 0.0001709439 0.00010547602 0.00010547602 0.00030551676 0.00021095204 0.0004255412 0.00022550047 0.0005964851 0.00020731494 0.00013457285 0.00030915387 0.0003309765 0.0001636697 0.00022550047 0.00019640363 0.0024877794 0.0010911312 0.00071650953 0.0019822218 0.0014402933 0.00020004074 0.00063649326 0.0020404155 0.00080380007 0.00064013037 0.00019640363 0.00022913757 0.005972125 0.00019276653 0.00014548417 0.00022186336 0.00055283983 0.00039644437 0.0003309765 0.00038189595 0.0003455249 0.00012729866 0.00037825885 0.00018549232 0.00061467063 0.00014912128 0.00015639549 0.00028005702 0.0003309765 0.00019276653 0.0001782181 0.0001709439 0.001011115 0.00023277468 0.00014912128 0.00015275838 0.0010511231 0.0012038815 0.000243686 0.0001636697 0.005997585 0.0006474046 0.00020004074 0.0016585195 0.0021495286 0.00010183892 0.00016003259 0.0006001222 0.0018185521 0.00045100093 0.0003564362 0.0003237023 0.00088745344 0.0011711476 0.000661953 0.0005819367 0.0019058427 0.00048009778 0.0007710661 0.00044372672 0.0030260708 0.0004400896 0.0014548417 0.0208988 0.2320031 0.0 9.143843e-06 0.0 0.0 0.0 0.00013898642 5.85206e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007225465 1.09726125e-05 9.143843e-06 7.315075e-06 7.315075e-06 3.6575375e-06 0.00014264396 5.4863063e-05 0.0 3.6575375e-06 0.0 3.6575375e-06 0.0 3.6575375e-06 0.0 1.8287687e-05 0.003511236 1.8287687e-05 1.8287687e-05 7.315075e-06 1.09726125e-05 1.2801381e-05 4.0232913e-05 2.1945225e-05 4.9376755e-05 3.6575375e-06 1.2801381e-05 5.4863062e-06 9.143843e-06 7.315075e-06 9.143843e-06 7.315075e-06 0.0033393316 6.0349368e-05 1.8287687e-05 1.09726125e-05 0.000104239814 2.3773993e-05 5.303429e-05 4.389045e-05 1.463015e-05 3.6575375e-06 7.315075e-06 1.2801381e-05 9.143843e-06 1.8287687e-06 1.2801381e-05 2.92603e-05 0.0031802289 0.00012984258 0.000104239814 7.315075e-06 0.00013898642 2.5602762e-05 5.303429e-05 4.206168e-05 5.4863062e-06 0.0 1.8287687e-06 5.4863062e-06 3.6575375e-06 1.8287687e-06 1.2801381e-05 3.2917837e-05 0.011113428 0.0003748976 0.000316377 0.0003566099 0.0002285961 6.583567e-05 0.00012435627 0.00093815837 0.00091621315 1.6458918e-05 7.680829e-05 2.1945225e-05 2.7431532e-05 5.85206e-05 2.5602762e-05 0.00032003454 0.03528792 0.00048279495 0.0011978435 0.00044073327 0.00014813026 9.509597e-05 0.00537658 0.020478552 0.018379126 0.0 0.0 0.0 4.389045e-05 0.0 1.463015e-05 0.00045170588 0.09090626 0.07882542 0.07743555 0.0779915 0.00077539793 0.00023042486 0.0007900281 0.004136675 0.0039355103 8.2294595e-05 0.00012435627 0.00011886997 0.00010058228 0.00012801381 0.000340151 0.0011576106 0.014695985 0.0018159674 0.0020335908 0.0028455642 0.00073882256 0.00020665086 0.0011813845 0.0021451458 0.0017574468 0.00014995903 0.00020116456 0.0001700755 0.00020665086 0.00014447272 0.0003748976 0.0012947683 0.0061245463 0.00037672636 0.0013734053 0.00043524697 0.0010350831 0.0005724046 0.0050876345 0.0028803106 0.00021213717 0.00011886997 0.000104239814 9.509597e-05 0.00010972613 6.583567e-05 7.132198e-05 6.4006905e-05 0.007554644 0.00051205524 0.001051542 0.0015544534 0.0006839595 0.00070407597 0.002468838 0.0034764893 0.0023280226 0.00033649345 0.00047182234 0.000104239814 0.000102411046 8.960967e-05 0.00019750702 0.0008357473 0.0033228728 0.00041147295 0.00033100715 0.0038477294 0.00040964418 0.0005358292 0.00034380853 0.0010369119 0.0012965971 0.0003675825 0.0003035756 0.00025419885 0.0007095623 0.0003273496 0.00045536342 0.001027768 0.004387216 0.0006437266 0.00016641796 0.0002340824 0.0019147209 0.0017117276 0.00066567183 0.0005010826 0.0025365022 0.00011338366 0.00014995903 0.0001755618 0.0025419886 0.00018287687 0.0013971793 0.0014044944 0.020518785 0.0038879623 0.0023737417 0.003037585 0.009710762 0.007165116 0.0033119002 0.004160449 0.015321424 0.0010716585 0.0023536254 0.00147033 0.008417822 0.0016257754 0.0064153206 0.014026656 0.019964669 0.004246401 0.0023737417 0.00426286 0.0074302875 0.007907596 0.0028345915 0.0067902184 0.013311608 0.0012271039 0.002276817 0.0016623507 0.006808506 0.002119543 0.0064720125 0.015180609 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1979.0 8.0384035 15908.0 0.036396783 0.016595423 0.015086749 0.016532563 0.017538346 0.016281117 0.017475484 0.01898416 0.018292682 0.0154639175 0.018229822 0.017224038 0.015778225 0.015903948 0.017538346 0.016721146 0.022818707 0.02118431 0.019801358 0.019612774 0.018418405 0.01514961 0.018858436 0.018544128 0.018104099 0.018355545 0.018544128 0.019361328 0.019361328 0.018544128 0.018292682 0.018544128 0.002765904 0.0037088257 0.0008171989 0.0036459642 0.0019487051 0.0017601207 0.0025773195 0.0040859943 0.0022630123 0.0022001509 0.0008171989 0.0005028916 0.0021372894 0.0023887353 0.0010686447 0.001257229 0.006160422 0.0015086749 0.0032687956 0.0072919284 0.0038974101 0.0015715363 0.0066004526 0.006537591 0.0011943677 0.0008171989 0.00044003018 0.0011943677 0.0010057832 0.0050917775 0.0005028916 0.0023887353 0.0030173499 0.01766407 0.0032687956 0.013200905 0.009366357 0.030739252 0.00345738 0.0042117173 0.0045260247 0.016343977 0.0011315062 0.001382952 0.01514961 0.0054689464 0.0155896405 0.02162434 0.007166206 0.00075433747 0.020932864 0.0120693995 0.02765904 0.010057832 0.003080211 0.0016343978 0.002514458 0.0046517476 0.002640181 0.0018858436 0.0030173499 0.0023887353 0.019424189 0.037025396 6.039053 0.0 0.0 0.0 3.0 274944.0 303104.0 0.0 1.0 99.0 1.0 1.0 0.0 0.0 0.0 1511662800.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 1.0 5.0 1.0 60416.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -156672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -60416.0 -1024.0 35840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.933639 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2787104 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.3663993 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.570632 -0.18753506 3.5248585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6492.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 13173.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -164040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -60329.0 -4116.0 35432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 69.0 78640.0 140.0 76176.0 35432.0 258048.0 0.0 0.0 0.0 0.0 3040.0 294912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 72840.0 0.0 0.0 420.0 65536.0 0.0 0.0 0.0 0.0