Input: 0.090572916 0.005052083 0.004496528 0.005052083 0.0049479166 0.0040625 0.0038194444 0.003689236 0.004722222 0.0036024305 0.0032291666 0.0039756945 0.004409722 0.00359375 0.0037586805 0.005251736 0.007473958 0.0032291666 0.0034288194 0.0033333334 0.003845486 0.004140625 0.0032378472 0.0033940973 0.0038107638 0.003185764 0.002951389 0.0035503472 0.0038194444 0.0033246528 0.0031076388 0.003420139 0.0051909722 0.003454861 0.0039756945 0.0035590278 0.0043055555 0.0033680554 0.002890625 0.002907986 0.003828125 0.0028645834 0.0029600693 0.0030034722 0.00375 0.0035329862 0.0036024305 0.003203125 0.0059375 0.0039670137 0.0034722222 0.004583333 0.0043142363 0.0041927085 0.0035416668 0.0035243055 0.0038020834 0.0037413195 0.003125 0.0036631944 0.0038194444 0.003185764 0.0030295139 0.0031597223 0.0044878474 0.004201389 0.0035416668 0.0034461806 0.005017361 0.0038715277 0.0037413195 0.0041059027 0.003454861 0.0039236112 0.0032204862 0.0030989584 0.003732639 0.00359375 0.0037065973 0.0033333334 0.0059635416 0.0033072918 0.003454861 0.0040538195 0.0037673612 0.0031336807 0.0035503472 0.0039236112 0.0042621526 0.0031076388 0.0030902778 0.0030815972 0.003654514 0.0031076388 0.003142361 0.0031684027 0.0038194444 0.004036458 0.0029600693 0.0036197917 0.0040972224 0.0049913195 0.003671875 0.003142361 0.004782986 0.0046875 0.003515625 0.0033940973 0.004956597 0.003376736 0.0037065973 0.0041059027 0.004453125 0.0030555555 0.004626736 0.004036458 0.005607639 0.0044010417 0.0034027777 0.0030208332 0.00390625 0.003376736 0.0029253473 0.003142361 0.00328125 0.0027430556 0.0032378472 0.0033246528 0.004157986 0.0036979166 0.0032725695 0.0040190974 0.0039670137 0.0050347224 0.0031076388 0.0032552083 0.004157986 0.0040711807 0.0035243055 0.0048524304 0.004157986 0.004878472 0.0031076388 0.0028038195 0.004253472 0.0028038195 0.0029947916 0.002734375 0.0033940973 0.002951389 0.0027864582 0.0025868055 0.0031944443 0.0026996527 0.0028385418 0.0029166667 0.003142361 0.0027777778 0.0029166667 0.0024479167 0.0034461806 0.0032118056 0.0027777778 0.0031076388 0.0030642361 0.0028819444 0.0029947916 0.0028125 0.0033940973 0.0030902778 0.0028298611 0.0028559028 0.0034635416 0.00265625 0.0028472221 0.0033159722 0.0038368055 0.0029947916 0.0031163194 0.002951389 0.0032986111 0.003142361 0.0033072918 0.0032204862 0.0033680554 0.0028125 0.0032552083 0.003142361 0.0032552083 0.0030121529 0.003142361 0.0032986111 0.0046440973 0.004079861 0.0034635416 0.0040104166 0.003359375 0.002907986 0.003185764 0.0036371527 0.0038107638 0.0035243055 0.0030642361 0.00265625 0.0033246528 0.0032986111 0.0029774306 0.0029427083 0.0032725695 0.0030815972 0.0029600693 0.003420139 0.0033940973 0.0033333334 0.0030989584 0.0032465279 0.0037760416 0.003376736 0.0028819444 0.0036284723 0.0030902778 0.0031770833 0.0028559028 0.0030555555 0.0037413195 0.0031163194 0.0029253473 0.0030989584 0.004140625 0.0025173612 0.0031336807 0.0029340277 0.004045139 0.0034809029 0.0028472221 0.003203125 0.0044618053 0.003046875 0.0029340277 0.0030034722 0.0035763888 0.0030295139 0.0035590278 0.003142361 0.0037760416 0.0028645834 0.0033680554 0.0037152779 0.0037413195 0.00359375 0.0028732638 0.0031597223 0.0035850694 0.003949653 0.0033246528 0.009565972 0.009009009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015818553 0.00011877112 0.00010117539 7.478181e-05 0.00029912725 0.00018035613 0.0006158502 0.0004354941 4.39893e-05 1.7595721e-05 8.797861e-06 3.5191442e-05 0.0001319679 7.0382885e-05 4.39893e-05 2.199465e-05 0.007900478 7.0382885e-05 6.598395e-05 3.5191442e-05 5.718609e-05 3.959037e-05 5.2787163e-05 5.718609e-05 0.00017155828 5.2787163e-05 6.598395e-05 5.2787163e-05 0.00014076577 7.918074e-05 6.158502e-05 0.00010557433 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011903505 0.00033871763 0.00018475507 0.00019795186 0.0006686374 0.00053666945 0.0018343539 0.0012185037 0.00020235078 7.918074e-05 7.478181e-05 0.00016715935 0.00021994651 8.3579675e-05 0.0001319679 0.0001759572 0.005854976 7.478181e-05 0.00014956362 0.00020674971 0.00029912725 0.00021554758 0.00043989302 0.0002331433 0.00035631334 6.158502e-05 0.00012317004 0.00012756897 0.00021114865 0.00025513794 0.00016715935 0.0002331433 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0075881546 0.00020235078 0.0007302224 0.0010381475 0.0011437219 0.00083139783 0.0033871762 0.0021466778 0.00022874436 7.0382885e-05 6.158502e-05 8.3579675e-05 0.00016715935 9.237754e-05 0.00011877112 0.00012756897 0.0042977547 0.0005850577 0.0001759572 0.0004091005 0.00031672296 0.000378308 0.00041789838 0.00019355293 0.0004091005 7.0382885e-05 0.00012317004 0.00010117539 0.000189154 0.00013636684 0.0001759572 0.0010293496 0.014824395 0.001887141 0.0011877111 0.0010733389 0.0019267314 0.00106894 0.0012536951 0.001385663 0.003778681 0.0005102759 0.00058945664 0.00050147803 0.0016276041 0.0006994299 0.0010513443 0.0026701507 0.009655652 0.0025733742 0.0010161529 0.00201471 0.0014516469 0.0022962415 0.0015396256 0.0011921101 0.0031672297 0.00062024913 0.000818201 0.0009633657 0.0014120566 0.0010733389 0.0012536951 0.0049883868 0.004082207 0.001385663 0.0013680673 0.0025997676 0.002709741 0.0017551731 0.0019575239 0.0014868384 0.0039546383 0.00086658925 0.001200908 0.0017067849 0.0038006757 0.0018387528 0.001948726 0.0033739794 0.057410438 0.0526288 0.051946968 0.052883938 0.050794445 0.05061849 0.051854588 0.050724063 0.05049532 0.0456345 0.04625915 0.047939543 0.04765361 0.04789115 0.04830465 0.048762143 692.0 8.419075 5826.0 0.020597322 0.006007552 0.007209063 0.0068657743 0.0065224855 0.0046343976 0.0032612428 0.0049776863 0.0070374184 0.0048060417 0.006350841 0.0051493305 0.0049776863 0.0061791968 0.011671816 0.005835908 0.0142464815 0.0123583935 0.009612083 0.009955373 0.008410573 0.011671816 0.0068657743 0.0075523513 0.0048060417 0.0068657743 0.00394782 0.005835908 0.008925506 0.0065224855 0.0054926192 0.0046343976 0.0048060417 0.01888088 0.0054926192 0.010127017 0.02797803 0.010298661 0.00789564 0.018194301 0.006350841 0.020254035 0.0036045315 0.004462753 0.014418126 0.00789564 0.015962925 0.008238929 0.023515277 0.006007552 0.007723996 0.013903192 0.0123583935 0.0046343976 0.007723996 0.013044971 0.016649501 0.005664264 0.0046343976 0.005320975 0.0061791968 0.0054926192 0.004462753 0.005835908 0.005835908 0.02008239 0.009268795 0.01579128 0.018022656 0.04291109 0.007723996 0.007723996 0.015104703 0.022828698 0.0061791968 0.01064195 0.022142122 0.011500171 0.016477859 0.02008239 0.012701682 0.007380707 0.026261587 0.019910745 0.03707518 0.013216615 0.0068657743 0.006350841 0.012015104 0.007723996 0.0065224855 0.004462753 0.0054926192 0.0036045315 0.004291109 0.006007552 6.3084364 0.0 0.0 0.0 3.0 115200.0 135168.0 0.0 11.0 56.0 1.0 1.0 0.0 0.0 0.0 1368188700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 5632.0 1024.0 4096.0 7.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 103424.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.492489 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 4.978041 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.16299008 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3670654 0.0 7.852519 0.0 0.0 0.0 0.0 -5.756826 0.0 0.0 0.0 0.0 0.0 0.0 -700.0 0.0 0.0 -4.0 0.0 0.0 0.0 0.0 0.0 2617.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1500.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1733.0 0.0 102976.0 0.0 0.0 0.0 0.0 -3118.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 345.0 14560.0 100.0 13200.0 102976.0 24576.0 0.0 0.0 0.0 0.0 560.0 131072.0 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 12288.0 0.0 0.0 0.0 0.0


Input: 0.006162263 0.004012599 0.003665486 0.0038224466 0.0036908796 0.0037462658 0.0037618617 0.0038162482 0.003672284 0.0037494649 0.0037214719 0.0037430665 0.0038474405 0.0038084502 0.0038380427 0.0039110244 0.003708675 0.0037262707 0.0037716595 0.0037994524 0.003725271 0.0038242463 0.0038792326 0.0038072504 0.0037822567 0.0038560382 0.0038586378 0.003865836 0.0037954533 0.003865636 0.003880632 0.0038084502 0.003893429 0.0037504646 0.0037574628 0.003853839 0.0037674604 0.0038034513 0.0038636364 0.0037602622 0.0037686601 0.0037998522 0.0038278454 0.0038500398 0.0038586378 0.0038748337 0.0042595374 0.0038464407 0.0038782328 0.004018598 0.003885431 0.0041157734 0.0038356434 0.0038830317 0.00408898 0.0038832314 0.0040082005 0.003925421 0.0038506396 0.0039942036 0.0038588375 0.003924821 0.0038434414 0.0038786326 0.0037356683 0.0038020518 0.003676883 0.0037606622 0.0038630366 0.003938818 0.0039042262 0.0038240463 0.0037776579 0.0037962531 0.0037996524 0.0038484402 0.0038700348 0.0038754335 0.0038220468 0.0037970531 0.0037826565 0.0037804572 0.003777058 0.003932619 0.0038152484 0.003935219 0.003912424 0.00388863 0.0038420418 0.0039386177 0.003821447 0.0039022267 0.004458888 0.0039610122 0.0039442163 0.004074384 0.0036992773 0.004000802 0.0038322443 0.0041779582 0.0041037765 0.0046138493 0.0042039515 0.0040445914 0.003901427 0.004323322 0.0038624366 0.0039558136 0.0044622873 0.0041469657 0.0042681354 0.004444292 0.004145766 0.003993204 0.0044768834 0.004819198 0.0043491153 0.0043203225 0.0040793824 0.0040145987 0.0041201725 0.0040036016 0.003880432 0.0038950285 0.0038726341 0.0038980278 0.0038906296 0.003937618 0.003756463 0.00368888 0.0036974777 0.0039242213 0.0036984775 0.0039104247 0.0037964531 0.0037878554 0.0038200472 0.0039678104 0.0038168482 0.0040523894 0.0038402423 0.003956613 0.003869435 0.0038626366 0.0037678604 0.0037602622 0.0038226466 0.0038336439 0.0038158484 0.0039122244 0.003881632 0.0038564382 0.0037914545 0.003974409 0.0039062258 0.0038986276 0.0038484402 0.0038924292 0.003893229 0.003820847 0.0037590624 0.003741467 0.003874034 0.0038298448 0.0038338439 0.0038274454 0.0038418418 0.0038714344 0.0037862556 0.003880432 0.003869435 0.003917223 0.0038994276 0.0038624366 0.003897428 0.003948815 0.003761062 0.003885631 0.003880832 0.003937818 0.0038202472 0.003845241 0.0039802073 0.003957813 0.003877633 0.003885831 0.0038920294 0.003948015 0.003876833 0.0039664106 0.0038896299 0.0039624115 0.0038980278 0.0037936538 0.0037706597 0.0038830317 0.0038006522 0.0038622369 0.0039072256 0.003873834 0.003801052 0.0038632364 0.003877033 0.0038880303 0.003978408 0.0038952285 0.00388903 0.0039470154 0.0037916542 0.0038980278 0.003861237 0.003918823 0.0038200472 0.003865036 0.003914224 0.0039882055 0.003840842 0.0038792326 0.0039164233 0.0039628115 0.003901427 0.0039122244 0.003934819 0.003944816 0.0037916542 0.0037702597 0.0037786576 0.0038644362 0.003829045 0.0038784328 0.0038924292 0.0039274204 0.003934019 0.003840842 0.0038558384 0.0039368183 0.0039110244 0.0038512396 0.003941017 0.0039778077 0.0037968531 0.0038434414 0.0038602373 0.0039274204 0.0039034265 0.0038346436 0.003865236 0.003954214 0.0039080256 0.003902027 0.00388903 0.0039200224 0.0038638364 0.003918423 0.0039114244 0.004381907 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001457944 1.0999578e-06 6.399754e-06 1.2999501e-06 3.3998695e-06 2.9998848e-06 2.2799124e-05 1.2299528e-05 2.1999156e-06 7.9996926e-07 9.999616e-08 4.999808e-07 9.999616e-07 2.9998847e-07 1.1999539e-06 2.5999002e-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 0.00022979117 1.7999308e-06 1.0399601e-05 7.2997195e-06 2.1499174e-05 1.20995355e-05 7.779701e-05 3.749856e-05 2.499904e-06 1.1999539e-06 3.9998463e-07 7.9996926e-07 1.6999347e-06 5.9997694e-07 1.3999462e-06 2.7998924e-06 0.0006369755 1.9699244e-05 0.00031928773 0.00013179494 0.0001402946 0.00015499405 0.0018368295 0.0012192532 2.6498983e-05 1.7899312e-05 6.979732e-05 1.8799277e-05 6.969732e-05 1.3099497e-05 1.5399408e-05 1.9899237e-05 0.00048278147 2.7798933e-05 0.00020989194 0.0006932734 7.719704e-05 0.0006457752 0.0016172379 0.0019320258 4.0198458e-05 2.059921e-05 5.0898045e-05 4.1798394e-05 4.9398102e-05 1.8199302e-05 1.6099382e-05 1.5799393e-05 0.00034188686 1.799931e-05 7.9596946e-05 0.00010179609 9.619631e-05 0.000111695714 0.00043118343 0.00033268722 1.20995355e-05 1.639937e-05 3.3998695e-05 1.9899237e-05 1.4499443e-05 8.199685e-06 6.899735e-06 1.3299489e-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 0.0012671513 0.00018769279 0.00020449214 0.00018989271 0.00024029077 0.00035838623 0.00023499098 0.0002914888 0.0006859737 5.2098e-05 7.709704e-05 0.00013639477 0.0003986847 0.00010639591 0.00020159227 0.00069197343 0.00038968504 8.58967e-05 7.489712e-05 6.929734e-05 7.999693e-05 9.1496484e-05 6.849737e-05 7.769702e-05 0.0001720934 2.6498983e-05 4.1598403e-05 3.799854e-05 0.00012609515 4.509827e-05 7.8196994e-05 0.00017329335 0.059399918 0.06061717 0.06062977 0.06168473 0.06043708 0.061396442 0.06175543 0.061797425 0.06050908 0.061548337 0.061370343 0.062118113 0.061273146 0.062164713 0.061666533 0.06176693 23885.0 7.41076 177006.0 0.0076946546 0.007519519 0.007350033 0.0074912715 0.00739523 0.007835893 0.007892388 0.0073613324 0.007118403 0.007547767 0.0076890048 0.00786414 0.0076099117 0.008479939 0.018445702 0.007649458 0.010299086 0.011519384 0.007830243 0.011734066 0.0081014205 0.008118369 0.012818774 0.0075534163 0.012214275 0.008135318 0.007615561 0.0077680983 0.0075986125 0.007496921 0.007756799 0.0072313934 0.0076833554 0.008090122 0.007739851 0.0075138696 0.008293504 0.008237009 0.00810707 0.008282205 0.007638159 0.007734201 0.007677706 0.007835893 0.007931935 0.007649458 0.0077906963 0.0074291267 0.00787544 0.007762449 0.007999728 0.008044925 0.007931935 0.00893755 0.007649458 0.0076946546 0.0079149855 0.0077906963 0.007355683 0.007570365 0.024451148 0.007655108 0.0077285515 0.013095601 0.006960216 0.012010892 0.008417794 0.015513598 0.013293334 0.027784368 0.013897834 0.010508118 0.009101386 0.019875033 0.008203112 0.010734099 0.023213902 0.013457171 0.018157577 0.021716777 0.017394891 0.012445906 0.024411602 0.03264861 0.020394789 0.018151928 0.011299052 0.00977368 0.015338463 0.008971447 0.008694621 0.007592963 0.007463024 0.0077172527 0.007677706 0.007350033 6.4486074 1.0 0.0 0.0 79.0 5001247.0 131072.0 1.0 0.0 127.0 0.0 1.0 0.0 0.0 0.0 1229928300.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 2.0 7.0 10.0 5.0 2.0 4.0 0.0 34816.0 1024.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34816.0 0.0 748070400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.5190633 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5640655 0.0 3.5639222 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -70712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34684.0 0.0 3192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 -2.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 39868.0 3192.0 122880.0 0.0 0.0 16064.0 748106750.0 0.0 0.0 28.0 8752.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 10088.0 0.0 0.0 536.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.14231221 0.008622799 0.004182219 0.0034207993 0.006235444 0.003944974 0.0020271402 0.0019588238 0.007876284 0.0015091762 0.0017004627 0.0015042077 0.0045697605 0.0013713008 0.0012296991 0.0038865944 0.0061584325 0.0015042077 0.0011862249 0.00089556875 0.0024693352 0.0019811818 0.00076763035 0.00082601 0.0023066173 0.0007552091 0.0008309785 0.00071173493 0.0016172406 0.0006049126 0.0005949756 0.0005664069 0.0038890787 0.0005875229 0.00065335527 0.0005440487 0.0041635875 0.0013203738 0.0004657951 0.0005626805 0.0011862249 0.0006545974 0.0005850387 0.00094525353 0.0011079713 0.0023476074 0.00067819766 0.0005192063 0.0056839427 0.0027575071 0.0032394498 0.0102052605 0.003395957 0.001992361 0.0028022234 0.0016843152 0.0039077103 0.0020321088 0.0007167034 0.001486818 0.0016718939 0.0009787908 0.00046703723 0.00053038535 0.011811322 0.0039412477 0.004917554 0.008856318 0.0038816258 0.032667764 0.0032791975 0.0027177592 0.0033947148 0.0035599167 0.0021960686 0.0023625128 0.0027190014 0.0044020745 0.0011638667 0.0015365029 0.009089836 0.0021513524 0.002063162 0.00978915 0.0032158494 0.0138844205 0.003233239 0.0021029096 0.0019327392 0.006536037 0.0027512964 0.0032705027 0.0015712822 0.0046529826 0.0023861132 0.0036170543 0.0057845544 0.004453001 0.0018048008 0.003326398 0.00937304 0.006204391 0.0040617334 0.0016035773 0.008010434 0.0043213367 0.0037636245 0.0014296805 0.003602149 0.0018035587 0.0044654226 0.004110176 0.0033214297 0.0017426948 0.0049734497 0.003915163 0.01035183 0.005615626 0.0018321275 0.0011539297 0.002973636 0.0012682049 0.0005328696 0.00059249136 0.0016594727 0.0025277147 0.0010669813 0.00087817904 0.0052641057 0.0011626246 0.0010930658 0.009098531 0.0031338695 0.0032394498 0.0010384126 0.00062106014 0.002673043 0.015248269 0.002242027 0.051930565 0.0012011303 0.011043692 0.0008607894 0.00068316614 0.0026668322 0.00044592118 0.00073036674 0.0006483868 0.0011278453 0.00094028504 0.001517871 0.0005701332 0.0011787722 0.00059124926 0.0005018166 0.00071546127 0.000960159 0.0004782163 0.00046703723 0.0004210788 0.00090053724 0.0033425458 0.00046827935 0.002561252 0.0014296805 0.0008210415 0.0005664069 0.00045461603 0.0010508337 0.00045958452 0.00051175355 0.0004893954 0.0008508524 0.0004521318 0.0007452722 0.000660808 0.0013303108 0.00068813463 0.0017377263 0.0005390802 0.00088190543 0.0006732292 0.00071546127 0.0015861876 0.0031636804 0.0025451046 0.004670372 0.0008272521 0.0010048753 0.00048194267 0.000857063 0.0007179455 0.012047324 0.0011539297 0.0022966804 0.01039282 0.00437599 0.001063255 0.003572338 0.0033822935 0.0018780859 0.0017725057 0.0009874856 0.0013079527 0.0016892836 0.00089681085 0.0009961805 0.0009464957 0.0028866876 0.0011551719 0.0029872993 0.0013588796 0.0018209483 0.0007713567 0.0016110301 0.0008794212 0.0033822935 0.00065708166 0.0010905816 0.0017948638 0.0015029656 0.0007216719 0.0005651647 0.0008458839 0.0024494613 0.000660808 0.00088190543 0.0009949383 0.0024432507 0.0024420086 0.00055274356 0.00069682946 0.02772661 0.00605161 0.0010980343 0.005924914 0.0065608793 0.0010471074 0.00068316614 0.0007576934 0.0072738566 0.000981275 0.0018246747 0.0009228954 0.009176785 0.0021799211 0.0041139023 0.0026047262 0.010110859 0.003066795 0.003086669 0.0036282334 0.014952644 0.0040132906 0.0043200944 0.06922957 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017826931 0.0 0.0 0.00051938195 0.00024569567 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0095740445 0.0 0.0 0.0041351514 0.0028513137 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028083946 0.0 0.0 0.0020930783 0.0014679538 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055297074 3.732086e-06 1.8038416e-05 6.717755e-05 0.00014928344 7.588575e-05 6.2201434e-06 7.464172e-06 1.5550359e-05 0.0 0.0 1.866043e-06 8.086186e-06 3.1100717e-06 4.9761147e-06 0.00035952427 0.006115023 0.00020650876 0.00021397293 0.00055234873 0.0019164261 0.00048952526 0.0024544685 0.0010679986 0.0001953125 0.00010076632 9.268014e-05 7.5263735e-05 0.0006736415 0.00038129478 0.00040182125 0.0028973427 0.013362734 0.0006431628 0.00094857183 0.0020874802 0.004141371 0.0036195014 0.006987087 0.0032189242 0.0004553145 0.00023636545 0.00031162918 0.00033153364 0.0020887242 0.0011078075 0.0011252239 0.0090160975 0.020833125 0.0013068521 0.0012371865 0.00208437 0.0073385253 0.0025689192 0.0067115347 0.0032661972 0.0023991093 0.0009778065 0.0009796725 0.0013398188 0.0040704617 0.0026578673 0.002682126 0.009610121 0.020286376 0.0015668541 0.0012552249 0.0022747065 0.009457106 0.0040567773 0.00590416 0.0034185909 0.0058301403 0.0014181926 0.0017845591 0.0023126493 0.0038751492 0.0017783389 0.0040580216 0.009704046 0.07428655 0.009853329 0.007307424 0.010118308 0.042217355 0.030716311 0.021382987 0.01400403 0.05166451 0.0053107585 0.006077702 0.009176577 0.016849747 0.0070996718 0.027542794 0.061296403 0.060481563 0.010167446 0.009152319 0.011715018 0.028224522 0.030720044 0.017736739 0.01466461 0.0500056 0.00590727 0.006506892 0.009184663 0.021177722 0.0109785525 0.025176652 0.048709944 0.0002344994 4.7895104e-05 8.645999e-05 5.2249205e-05 9.0814094e-05 9.9522294e-05 4.3541004e-05 6.593352e-05 0.0001349771 2.9234674e-05 3.3588774e-05 2.9234674e-05 8.459395e-05 6.033539e-05 7.339769e-05 0.00010760848 5347.0 15.8973255 85003.0 0.005505688 0.0001294072 0.00056468596 9.411432e-05 0.0033881157 0.00057645026 0.0001294072 0.00017646435 0.00039998587 0.00041175017 0.0007411503 0.00058821455 0.0005058645 0.014411256 0.0011411362 0.00047057163 0.025081467 0.017387621 0.025869675 0.012811312 0.021740409 0.014740656 0.022610966 0.011693705 0.025104996 0.014599484 0.0008352646 0.0005176288 0.00096467184 0.0005411574 0.00011764291 0.00014117149 0.001376422 0.008623225 0.0074820886 0.01467007 0.00721151 0.016305307 0.004776302 0.0031057727 0.004976295 0.017787607 0.0024822652 0.0040351516 0.006893874 0.0067409384 0.004482195 0.009317318 0.013046598 0.0026469654 0.0060468456 0.020693388 0.013211299 0.0063291886 0.0059644952 0.0035292872 0.0028116654 0.0054115737 0.0015411221 0.0030234228 0.0011764291 0.0028234296 0.0029410727 0.022434503 0.0002588144 0.031081256 0.0133759985 0.027434327 0.02678729 0.053586345 0.012328977 0.010552568 0.01988165 0.03544581 0.007823253 0.0070938673 0.024752067 0.012317212 0.038092773 0.03473995 0.020022823 0.0029410727 0.039257437 0.028998977 0.04250438 0.011329012 0.010893733 0.006105667 0.014964177 0.006752703 0.0010587862 0.00029410727 0.0005529217 0.0002588144 0.00030587157 0.00031763586 5.7734017 0.0 2.0 14.0 4.0 805075.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 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 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5803 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.20261249 0.005864337 0.0036272793 0.004248292 0.0041988934 0.0035637668 0.0041706655 0.003352058 0.0033308868 0.003140349 0.0028157285 0.0028580704 0.003140349 0.0028933552 0.0026604754 0.003352058 0.0032603173 0.0023852538 0.0021100321 0.00292864 0.002575792 0.002942754 0.0027239881 0.0024981652 0.0024840513 0.0026181336 0.00253345 0.0025969627 0.0022441144 0.0029356969 0.0023993677 0.0026816463 0.004078925 0.0028227856 0.0026887031 0.0023781967 0.003098007 0.002547564 0.0023146842 0.0022511715 0.0027239881 0.002349969 0.0023146842 0.0029215831 0.0027098742 0.0027875006 0.0030486083 0.0026604754 0.0047705076 0.0032532604 0.0026181336 0.0033661718 0.0024417094 0.0026534183 0.0024911081 0.0024134817 0.0026181336 0.0029074692 0.0026816463 0.002716931 0.0027098742 0.0024699373 0.0024346525 0.0026745894 0.004876362 0.0030697794 0.0023146842 0.0026393044 0.003154463 0.0032320893 0.0024558234 0.0031615198 0.0028227856 0.0028016146 0.0024487665 0.002575792 0.0023923106 0.0025828488 0.0027804438 0.002702817 0.0031050642 0.0024487665 0.002540507 0.0029074692 0.002886298 0.0033308868 0.0030062667 0.0028016146 0.0026251907 0.002716931 0.0026251907 0.0025263932 0.0022088296 0.0028298425 0.002561678 0.0032320893 0.0023146842 0.003295602 0.0024840513 0.0033661718 0.003126235 0.004523514 0.0028721844 0.0028227856 0.0030203806 0.004297691 0.0026110767 0.0026040196 0.0030274375 0.003316773 0.0035849377 0.0033943995 0.0031897477 0.0026322475 0.0038037035 0.0037613618 0.0045376276 0.003535539 0.0028016146 0.0030415514 0.0026393044 0.0029639248 0.0025687348 0.002335855 0.0025263932 0.0025828488 0.0024840513 0.0026887031 0.0030556654 0.0032250325 0.00292864 0.003126235 0.0026181336 0.0031968046 0.0030133235 0.002745159 0.0028792412 0.0031897477 0.0028227856 0.0046011405 0.0026745894 0.0034226275 0.00253345 0.0027098742 0.002540507 0.0027381019 0.0024558234 0.002561678 0.0026040196 0.0024628805 0.0024911081 0.0023570259 0.0026181336 0.0025828488 0.002716931 0.0026534183 0.0025899056 0.0026251907 0.002745159 0.002759273 0.00292864 0.003140349 0.0024699373 0.002886298 0.0024064246 0.0026604754 0.0025687348 0.0029074692 0.0028016146 0.0025546208 0.0025899056 0.0026675323 0.0026322475 0.0029992096 0.002505222 0.0030062667 0.0028086717 0.0025899056 0.0026322475 0.00253345 0.0028580704 0.0026393044 0.0026181336 0.002942754 0.0028933552 0.0029498108 0.002561678 0.0026463615 0.0026887031 0.002942754 0.0028721844 0.0026251907 0.0034508554 0.0027875006 0.002900412 0.003352058 0.0027381019 0.0028086717 0.0033661718 0.0033661718 0.002886298 0.0029992096 0.0027663298 0.002702817 0.003309716 0.0031826906 0.002773387 0.0027804438 0.0031897477 0.0028016146 0.003154463 0.002716931 0.0029074692 0.0026745894 0.0029215831 0.0029074692 0.0031474058 0.0028086717 0.0029709819 0.0031826906 0.0030909502 0.002886298 0.0031615198 0.0030486083 0.0032603173 0.0029992096 0.0028580704 0.0031050642 0.0030344944 0.0030556654 0.0029780387 0.0029780387 0.00404364 0.003521425 0.00332383 0.0034649693 0.0031968046 0.0032250325 0.0029074692 0.003337944 0.0037684187 0.0033873427 0.0036061085 0.003697849 0.003119178 0.003098007 0.0035919945 0.003704906 0.003535539 0.002914526 0.00292864 0.0028792412 0.0031968046 0.0032038616 0.004523514 0.048255518 0.04379562 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0070711677 3.5640967e-06 7.1281934e-06 1.4256387e-05 6.0589646e-05 1.4256387e-05 4.6333258e-05 2.4948677e-05 0.0 0.0 0.0 1.069229e-05 0.0 0.0 3.5640967e-06 4.276916e-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 0.019042969 0.00016751254 0.00026374316 0.00019602531 0.00028156364 0.00022453809 0.00068430655 0.00048471717 4.276916e-05 3.207687e-05 2.4948677e-05 0.000103358805 5.7025547e-05 3.9205064e-05 6.0589646e-05 0.00019246123 0.006165887 0.000106922904 6.415374e-05 7.128193e-05 2.4948677e-05 3.207687e-05 5.3461452e-05 7.484603e-05 3.207687e-05 2.138458e-05 3.5640967e-06 3.5640967e-06 6.771784e-05 0.0 5.7025547e-05 0.0005203581 0.01171875 0.00021028171 0.00018533303 0.00016038436 0.00016038436 0.00019602531 0.00017820483 0.00019246123 0.00020315351 5.3461452e-05 0.00015325616 0.00012830748 0.00017820483 0.00011761519 0.00016038436 0.00060233235 0.010906136 0.00022453809 0.000331461 0.0003278969 0.00019602531 0.00019246123 0.0006451015 0.00039917883 0.000114051094 7.128193e-05 8.553832e-05 0.00012830748 7.841013e-05 9.2666516e-05 0.00016751254 0.0006379733 0.005374658 0.000103358805 0.000103358805 0.00014969206 0.0003100764 0.00019246123 8.197423e-05 6.771784e-05 0.00019958941 2.138458e-05 2.8512773e-05 3.207687e-05 0.00012117929 1.7820483e-05 0.00012830748 0.00036710195 0.012395929 0.00029938412 0.00019958941 0.0004526403 0.00042769162 0.0005381786 0.0017464074 0.0011119982 0.00018889713 0.00023879448 0.00018889713 0.00023166629 0.0003457174 0.0003172046 0.00042056342 0.0027942518 0.03383397 0.0010549726 0.001475536 0.0014612797 0.0014577155 0.0012117929 0.0017535356 0.0017072023 0.0012581261 0.0008874601 0.00078766537 0.0009623061 0.0015539462 0.0013365363 0.0017891766 0.005862939 0.010371521 0.00038848654 0.00042056342 0.000552435 0.0005203581 0.0006379733 0.0018533303 0.001218921 0.00038848654 0.0005631273 0.0005381786 0.0007199475 0.0008660755 0.0011155623 0.001218921 0.0078231925 0.012791543 0.00037779426 0.0006344092 0.00046689666 0.00059164007 0.0005773837 0.0005274863 0.00081261405 0.0008197423 0.0009337933 0.001254562 0.0009836907 0.0011333828 0.0017000742 0.0016537409 0.003938327 0.011280366 0.00078410126 0.0006771784 0.0007805372 0.0007912295 0.000958742 0.0011298186 0.0011904082 0.0014933565 0.001839074 0.0021562786 0.0025340728 0.0025376368 0.002694457 0.0035997378 0.016647896 0.016761947 0.0022703295 0.0021562786 0.0027372262 0.0043553263 0.0033787638 0.002943944 0.0034357891 0.0045050182 0.00258397 0.0030722513 0.002840585 0.00404525 0.0033003537 0.004904197 0.017000742 0.019823506 0.0041129678 0.0056455294 0.0063512204 0.005570683 0.004433736 0.007990705 0.0060340157 0.006525861 0.0032540204 0.0039917883 0.0032860972 0.004875684 0.0041878135 0.0050895303 0.011016623 0.03318174 0.031745408 0.031331975 0.03127495 0.031278513 0.031806 0.03081518 0.031324845 0.03307838 0.031150205 0.031634923 0.031959254 0.03248674 0.032925125 0.032280024 0.03267564 520.0 10.7846155 5608.0 0.028708987 0.0039229672 0.0064194007 0.004457917 0.006241084 0.0037446504 0.004636234 0.0049928674 0.0087375175 0.004457917 0.0021398002 0.004101284 0.0057061343 0.008380884 0.018544937 0.012660485 0.028352354 0.014800285 0.012660485 0.012303852 0.007667618 0.0065977178 0.004636234 0.0057061343 0.0060627675 0.007310984 0.0087375175 0.005171184 0.004636234 0.0060627675 0.0057061343 0.0057061343 0.007310984 0.016226819 0.0035663338 0.012838801 0.019079886 0.0057061343 0.006954351 0.0105206845 0.0039229672 0.010877318 0.006241084 0.004636234 0.004101284 0.0048145507 0.010164051 0.004101284 0.012838801 0.0030313837 0.0039229672 0.014265335 0.010164051 0.0048145507 0.009807418 0.0064194007 0.010164051 0.0039229672 0.0048145507 0.0048145507 0.005171184 0.005527817 0.0035663338 0.014978602 0.004101284 0.024607703 0.007310984 0.024429386 0.012838801 0.04743224 0.009094152 0.013908702 0.0131954355 0.031918686 0.0042796005 0.006241084 0.015156919 0.021041369 0.028352354 0.026747504 0.016226819 0.005527817 0.031027105 0.025677603 0.038516406 0.011590585 0.007489301 0.012125535 0.009094152 0.012303852 0.0037446504 0.004101284 0.0032097003 0.0033880172 0.0033880172 0.0026747503 6.194678 0.0 18.0 0.0 3.0 141704.0 135168.0 1.0 0.0 59.0 0.0 1.0 1.0 0.0 0.0 1282193300.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 8192.0 4096.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 114688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.606732 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.64087164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3405776 0.0 7.3610272 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3362.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4748.0 0.0 114688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 14256.0 40708.0 20480.0 0.0 0.0 6536.0 61440.0 0.0 0.0 28.0 12576.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 13664.0 0.0 0.0 248.0 12288.0 0.0 0.0 0.0 0.0


Input: 0.4149676 0.0065262956 0.0070979423 0.0016196646 0.005907012 0.00038109755 0.0010003811 0.0007621951 0.0009527439 0.0009051067 0.00833651 0.0012862043 0.001476753 0.009336891 0.0006192835 0.0011909299 0.0025247713 0.00019054877 0.00033346037 0.00038109755 0.0006192835 0.0007621951 0.00042873475 0.00042873475 0.00071455794 0.00047637196 0.00028582316 0.00023818598 0.00038109755 0.0 0.00042873475 0.0020007621 0.07040778 0.0013338415 0.0021436738 0.00019054877 0.00071455794 0.012385671 0.00019054877 0.0005716463 0.0036204269 0.0020960367 0.00033346037 0.00023818598 0.0037157012 0.0009527439 0.0014291159 0.0035251523 0.0105754575 0.00628811 0.0032869664 0.0010956555 0.0010956555 0.0007621951 0.00047637196 0.0007621951 0.0008574695 0.00038109755 0.0047637196 0.00023818598 0.00028582316 0.00052400917 0.00052400917 0.00014291158 0.0035251523 0.0036204269 0.0013814786 0.0047637196 0.0060499236 0.00038109755 0.0025247713 0.002477134 0.0042397105 0.0036204269 0.00014291158 0.00038109755 0.0010480183 0.0028582318 0.0066215703 0.0037157012 0.0060022864 0.003144055 0.0040491614 0.008527058 0.0037633383 0.001714939 0.0010480183 0.0040491614 0.0040015243 0.002953506 0.00042873475 0.003144055 0.002667683 0.0010480183 0.0020960367 0.0035251523 0.00028582316 0.016339557 0.0015720275 0.01205221 0.00814596 0.02701029 0.0022865853 0.006859756 0.0076219514 0.011147103 0.003429878 0.0032393292 0.0066215703 0.0022389481 0.01714939 0.008479421 0.0033346037 0.00271532 0.011051829 0.011814024 0.014052972 0.0027629572 0.004954268 0.0016196646 0.008479421 0.00543064 0.0022865853 0.00023818598 0.00271532 0.0037633383 0.0016196646 0.0008098323 0.003191692 0.00066692074 0.00042873475 0.00019054877 0.0032393292 0.00014291158 0.00047637196 0.00014291158 0.0010480183 0.00014291158 0.0030011432 0.001476753 0.002905869 0.00023818598 0.00023818598 0.00023818598 0.0034775152 0.0008574695 0.00047637196 0.001953125 0.003144055 0.0010480183 0.0010480183 0.00014291158 0.00033346037 0.002191311 0.0008574695 0.00066692074 4.7637193e-05 0.00019054877 0.00071455794 0.00271532 0.00019054877 9.527439e-05 0.00019054877 4.7637193e-05 0.0010003811 0.00066692074 4.7637193e-05 0.0 0.00014291158 0.00028582316 9.527439e-05 0.0006192835 9.527439e-05 4.7637193e-05 0.0005716463 0.0 0.0008574695 9.527439e-05 0.00023818598 4.7637193e-05 9.527439e-05 0.00014291158 0.00014291158 0.00019054877 0.00033346037 0.00052400917 0.0011432926 4.7637193e-05 0.00066692074 4.7637193e-05 0.0 4.7637193e-05 0.0013338415 0.0028105946 0.0 4.7637193e-05 0.0 0.00042873475 0.00023818598 0.0023342227 4.7637193e-05 0.0 0.0 0.0006192835 0.0 0.00038109755 0.0 0.0011432926 0.00052400917 4.7637193e-05 0.0022865853 0.00014291158 0.0008098323 0.0010956555 0.00271532 4.7637193e-05 0.00014291158 0.0 0.00023818598 0.0 0.00028582316 0.00052400917 0.00014291158 0.00019054877 0.00042873475 0.0 0.00023818598 0.0 0.0010003811 0.00052400917 4.7637193e-05 0.0 0.00023818598 0.0 9.527439e-05 0.002905869 9.527439e-05 0.0 0.0011909299 0.00071455794 0.00014291158 4.7637193e-05 0.0008574695 0.00033346037 0.00047637196 4.7637193e-05 0.0014291159 4.7637193e-05 4.7637193e-05 0.0 0.0 0.001953125 0.0 0.0006192835 0.00023818598 0.001238567 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04271176 0.00066817435 0.0011050575 0.0007966694 0.0007966694 0.0006938733 0.0011307566 0.00095086347 0.0011564556 0.00023129112 0.00030838815 0.00043688322 0.00033408718 0.00033408718 0.0007709704 0.0002055921 0.03800884 0.0005653783 0.0011821546 0.00048828125 0.0017475329 0.0007452714 0.0047543175 0.002004523 0.0010279606 0.00017989309 0.00025699014 0.00023129112 0.00023129112 0.0002055921 0.0006938733 0.00030838815 0.1354595 0.0013620477 0.02004523 0.0032380756 0.007889597 0.0049856086 0.061626233 0.028268915 2.5699013e-05 2.5699013e-05 2.5699013e-05 5.1398027e-05 0.0 5.1398027e-05 7.709704e-05 2.5699013e-05 0.028731497 0.0007966694 0.0024414062 2.5699013e-05 0.0025185032 0.0009765625 0.011436061 0.0046258224 0.00017989309 0.00010279605 0.00010279605 0.00010279605 0.00015419407 0.00010279605 0.00012849507 0.0002055921 0.074038856 0.00028268914 0.039190996 0.0066817435 0.0048314147 0.005859375 0.012823808 0.0068873353 0.0017218338 0.002158717 5.1398027e-05 0.00028268914 0.00084806746 0.00084806746 0.0005653783 0.0008223684 0.04564145 0.00043688322 0.023797287 0.00624486 0.0034693668 0.005576686 0.0068102386 0.0049856086 0.0018760279 0.0024928043 0.00023129112 0.00048828125 0.0011564556 0.0007966694 0.00043688322 0.0008223684 0.019171463 0.0007966694 0.0029810856 0.0014648438 0.0023643093 0.0034693668 0.0096371295 0.0066560446 0.0013877467 0.0010279606 0.00023129112 0.00017989309 0.0006938733 0.0013363487 0.0010536596 0.00017989309 0.01924856 0.0007709704 0.0055252877 0.0032894737 0.0024157073 0.0046258224 0.00547389 0.003829153 0.0016447369 0.002287212 0.00043688322 0.0004111842 0.0010022615 0.0005139803 0.00043688322 0.00071957236 0.04250617 0.0031095806 0.010999178 0.008352179 0.007684005 0.01696135 0.017578125 0.016395971 0.0069387336 0.010228207 0.0017475329 0.0019017269 0.0043431334 0.0030581825 0.002133018 0.003957648 0.012104236 0.0016447369 0.0024928043 0.0023129112 0.0030324836 0.0067074425 0.006270559 0.005756579 0.0028782894 0.0025185032 0.0007452714 0.00048828125 0.0011050575 0.0023900082 0.0014905428 0.0006938733 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 133.0 8.992481 1196.0 0.0091973245 0.0075250836 0.0 0.0 0.004180602 0.0016722408 0.0016722408 0.0016722408 0.011705685 0.0025083611 0.0 0.0 0.010869565 0.012541806 0.006688963 0.0025083611 0.015050167 0.010869565 0.0075250836 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006688963 0.0 0.0 0.008361204 0.0 0.0 0.0050167223 0.033444814 0.0025083611 0.014214047 0.0819398 0.0 0.0 0.034280937 0.006688963 0.033444814 0.0 0.0 0.0 0.01923077 0.05936455 0.025083613 0.048494983 0.033444814 0.015050167 0.006688963 0.0091973245 0.0008361204 0.004180602 0.02090301 0.045150504 0.010869565 0.0016722408 0.020066889 0.0058528427 0.0 0.0008361204 0.0 0.0 0.0075250836 0.004180602 0.0050167223 0.008361204 0.04431438 0.0050167223 0.004180602 0.010869565 0.0016722408 0.0050167223 0.0058528427 0.0050167223 0.0016722408 0.018394649 0.0025083611 0.0008361204 0.030100334 0.010869565 0.0058528427 0.0033444816 0.014214047 0.008361204 0.0 0.02173913 0.0008361204 0.004180602 0.0 0.034280937 0.049331103 0.020066889 0.006688963 5.446144 0.0 0.0 0.0 1.0 20992.0 28672.0 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 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 12.0 10.0 0.0 6.0 0.0 0.0 512.0 4096.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 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 19968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.077498 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8489914 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 19648.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 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


Input: 0.21448617 0.013950541 0.0073242188 0.004651002 0.010478319 0.0054648044 0.0026954112 0.0029420177 0.0077656447 0.0025523792 0.0017706361 0.0017731021 0.005716343 0.0026436236 0.0013612689 0.0057656644 0.0051343516 0.0016645952 0.0011121961 0.0010406802 0.0040196893 0.0035240096 0.0011590514 0.0010061553 0.0038273358 0.001437717 0.0008335306 0.0009691643 0.0031319049 0.0014105903 0.0012478299 0.0014525134 0.005531388 0.00080147176 0.0013341422 0.00081133604 0.028275924 0.0008359967 0.0006658381 0.00062884705 0.0031516335 0.00089764834 0.00073488796 0.0014303188 0.0022416548 0.0011861782 0.0010579427 0.00054746686 0.0026337595 0.0008335306 0.0017139165 0.0058100536 0.0019407946 0.0015264954 0.0006781684 0.0005844579 0.0025326507 0.0029222893 0.0012552281 0.0053982204 0.0028976286 0.0015980114 0.0018224234 0.0012231692 0.004251499 0.0027348683 0.0025869042 0.0032921992 0.022083629 0.011435152 0.00523546 0.0028631038 0.00243894 0.0025869042 0.0012059067 0.0007176255 0.004964193 0.0029962712 0.0027545968 0.0015166311 0.010549834 0.003274937 0.0025647096 0.0043969974 0.0038248699 0.0027767913 0.0045030382 0.0035905933 0.0029962712 0.0031467015 0.0007052951 0.0026978771 0.0059086964 0.0023772884 0.004086273 0.0028409092 0.0027225378 0.003319326 0.0009075126 0.0024438724 0.0047841696 0.005265053 0.003538806 0.0009913589 0.0055091935 0.0025499132 0.004596749 0.0009149108 0.0037262272 0.001403192 0.0027200717 0.0035659329 0.003679372 0.0016892558 0.0036596432 0.0025203205 0.01595792 0.009136778 0.0013588029 0.0016374685 0.0017533735 0.0012034407 0.0008557252 0.00062391494 0.0030431265 0.002180003 0.0022515191 0.0013538707 0.0028631038 0.0024808634 0.0008261324 0.01326744 0.0061355745 0.007509174 0.0013859296 0.0014599116 0.0048433556 0.01661636 0.0028581715 0.026697641 0.0029864071 0.011923433 0.00088038587 0.00068063446 0.0015166311 0.0008655895 0.0005450008 0.0012601602 0.0014673098 0.0010826034 0.0005277383 0.00082120026 0.0011047979 0.0020542338 0.00055733114 0.0009124448 0.0021084873 0.00072748977 0.0004463581 0.0005671954 0.0009469697 0.0025351169 0.00080640387 0.0017163826 0.0011171283 0.00089764834 0.00048088306 0.0003501815 0.0012009746 0.00045868845 0.00039950284 0.0007151594 0.0011837122 0.00036251184 0.00039703678 0.00055486505 0.0013735993 0.00055239897 0.00076201465 0.00092724117 0.0014451152 0.00074475224 0.00075708254 0.0009938249 0.0036769058 0.0026288272 0.00088285195 0.00063624524 0.0011689158 0.000996291 0.0011911104 0.0015585542 0.00815775 0.0024438724 0.0026263613 0.0069000553 0.0062070903 0.0011072641 0.0042860243 0.0056152344 0.00213808 0.0022539853 0.0009765625 0.0012182371 0.020897452 0.0007077612 0.0010554766 0.0009173769 0.0021134194 0.0010653409 0.0015018347 0.0009149108 0.0009099787 0.0008261324 0.0009913589 0.000848327 0.0022934421 0.0014919705 0.000700363 0.002914891 0.0012330335 0.00089025014 0.0007200915 0.0006411774 0.0025129223 0.0008532592 0.0007669468 0.00054993294 0.0013785315 0.00060172036 0.00056226325 0.00047348486 0.016098484 0.003689236 0.0007250237 0.0040961374 0.0025104561 0.0011072641 0.0010727391 0.0009864267 0.0024882616 0.0012601602 0.0006707702 0.0013809975 0.0016399345 0.001030816 0.002325501 0.0017361111 0.003319326 0.0015560882 0.0011516532 0.0012059067 0.0024611347 0.0022219263 0.0060566603 0.043962575 0.010126582 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00463929 1.1125396e-05 4.9446203e-06 1.483386e-05 5.0682356e-05 3.2140033e-05 0.00013844937 7.664161e-05 2.7195412e-05 1.2361551e-06 1.2361551e-06 2.4723101e-06 3.8320806e-05 9.889241e-06 2.4723101e-06 1.2361551e-05 0.006674001 9.765625e-05 0.00010754549 2.4723102e-05 0.0038852354 0.001331339 0.00011249011 9.889241e-05 5.315467e-05 3.708465e-05 3.461234e-05 3.0903877e-05 1.483386e-05 8.653085e-06 6.0571598e-05 8.6530854e-05 4.9446203e-06 0.0 1.2361551e-05 8.653085e-06 0.0018406349 0.00061436906 3.0903877e-05 1.9778481e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019865013 8.6530854e-05 7.41693e-05 4.9446203e-06 8.6530854e-05 4.3265427e-05 6.5516215e-05 3.9556962e-05 3.9556962e-05 6.1807755e-06 2.2250792e-05 1.8542325e-05 7.41693e-06 1.6070016e-05 7.41693e-06 2.7195412e-05 0.012412233 0.00021138252 0.00024970333 7.664161e-05 0.0015538469 0.00025835642 0.00092835247 0.00047221122 0.00025217564 0.00019902097 9.6420095e-05 7.9113925e-05 0.00012856013 7.9113925e-05 7.5405456e-05 0.0006489814 0.027237441 0.00068853836 0.00090115704 0.00076641614 0.0030495946 0.0013684237 0.0038135385 0.0015563192 0.00018665941 0.0005228936 0.00018913172 0.00013721321 0.00019284019 0.00019407635 0.0001705894 0.0020631428 0.03061338 0.0002719541 0.0023561115 0.0029062005 0.0039866 0.0018937895 0.0104418015 0.0041262857 0.00028184336 0.00012979629 9.6420095e-05 0.00010260087 7.5405456e-05 9.147548e-05 4.573774e-05 0.0008084454 0.007263647 0.00017553402 0.0010272448 0.000996341 0.0021583268 0.00095802016 0.004043463 0.0021818136 0.0002447587 8.776701e-05 6.4280066e-05 7.9113925e-05 0.0002175633 0.00013226859 0.00014215783 0.0004808643 0.0077037183 0.0007392207 0.000334998 0.00025835642 0.0022671083 0.0009839794 0.00235982 0.0015427215 0.0009332971 0.0020136966 0.00018295096 0.0013523536 0.00057728443 0.00010507318 0.00045490506 0.003506972 0.0051152096 0.00038444423 0.00048210047 0.0003992781 0.0014092168 0.00065145374 0.0014772053 0.0009740902 0.00071696995 0.00044625197 0.00020767405 0.00022374406 0.00022745253 0.00013844937 0.0002558841 0.002080449 0.018857546 0.0024970332 0.002700999 0.0020000988 0.0032016416 0.002567494 0.0021088806 0.0029618274 0.0070448476 0.0016997132 0.0014042722 0.0017182556 0.0032807556 0.0013906745 0.0023548754 0.010033871 0.07947983 0.011498715 0.018848892 0.011351612 0.020790892 0.021517752 0.009404668 0.015626237 0.045591872 0.005180726 0.0047777393 0.007508406 0.03158747 0.007000346 0.01435176 0.024597013 0.07640551 0.014899377 0.021227255 0.0149241 0.02828941 0.026364716 0.012650811 0.021459652 0.046818137 0.0045082574 0.005283327 0.0073242188 0.030047221 0.009111699 0.018827878 0.028947042 0.0017627571 0.0014450653 0.0018517603 0.0016626286 0.0012559335 0.0017293809 0.0014487738 0.0017948971 0.0014598991 0.001721964 0.0017306171 0.001714547 0.0012781844 0.0017788272 0.0013251583 0.0013560621 1250.0 14.2384 17798.0 0.02730644 0.0014046523 0.0036520958 0.0009551635 0.018485224 0.0010675357 0.0014608382 0.0029778627 0.0037082818 0.00129228 0.0012360939 0.0016293966 0.0029216765 0.002640746 0.0060680974 0.0022474434 0.005281492 0.00258456 0.003202607 0.0028654905 0.003202607 0.0015170244 0.002528374 0.00129228 0.0066861445 0.008540286 0.0014608382 0.00258456 0.0041015847 0.0034835376 0.0033149791 0.003146421 0.007978424 0.037307564 0.004270143 0.009495449 0.066636704 0.004438701 0.0073041916 0.03348691 0.003933026 0.032925047 0.0014608382 0.0012360939 0.008989774 0.0046634455 0.030677604 0.0059557254 0.04298236 0.006349028 0.007079447 0.023317227 0.007079447 0.007641308 0.016350152 0.017754804 0.029778628 0.009158333 0.0010113496 0.009326891 0.005730981 0.009326891 0.010562984 0.012978987 0.0040453984 0.023317227 0.0053938646 0.016462523 0.012304753 0.047926735 0.0060680974 0.0052253064 0.011237218 0.023710528 0.003202607 0.003989212 0.02095741 0.009158333 0.020732667 0.02556467 0.012023823 0.0017417688 0.028542534 0.019215642 0.043263286 0.0126418695 0.005562423 0.0028654905 0.0040453984 0.0067985165 0.001910327 0.0010113496 0.0028093045 0.0011799078 0.0035397236 0.0015170244 5.8327074 1.0 0.0 0.0 3.0 405504.0 458752.0 1.0 0.0 168.0 0.0 1.0 0.0 0.0 0.0 1346933100.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 286720.0 4096.0 4096.0 5.0 0.0 0.0 2.0 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 61440.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -286720.0 0.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.416633 0.0 0.0 -7.3342566 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.4118516 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5524945 0.0 6.301054 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 57600.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -59228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -284837.0 0.0 28736.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 -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 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 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 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 -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 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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 220.0 344412.0 28736.0 413696.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 291648.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 327568.0 0.0 0.0 712.0 290816.0 0.0 0.0 0.0 0.0


Input: 0.75104505 0.0059818956 0.0016143911 0.001736912 0.0034666166 0.0008576453 0.000627018 0.001679255 0.0024720365 0.0010522371 0.0006918819 0.00030990544 0.0013549355 0.0005909825 0.00030269835 0.0015999769 0.002154924 0.00038918358 0.0002162131 0.000115313655 0.00092250924 0.0015206988 0.0014558348 0.0014053851 0.0008720595 0.00013693496 0.00013693496 0.00020179889 0.00067746773 0.00012972786 0.00013693496 0.0012396218 0.004547682 0.00012972786 0.00032431964 0.00014414206 0.0053548776 0.00031711254 0.00015134917 3.6035515e-05 0.00058377534 0.000209006 8.648524e-05 0.00034594096 0.00029549125 0.0002450415 0.00038918358 0.000100899444 0.0006414322 0.00012972786 0.00027386993 0.0057512685 0.00031711254 0.00026666283 0.00016576337 0.00031711254 0.0006486393 0.00039639068 0.000115313655 0.0008576453 0.00031711254 0.00036756226 0.0002378344 0.00051170436 0.0048864163 0.00077116006 0.00046846172 0.00046125462 0.002515279 0.0016648408 0.0015062846 0.0020107818 0.0004828759 0.00040359778 0.00015134917 0.00018017758 0.0015495272 0.00039639068 0.00028828412 0.00030990544 0.0020468174 0.0009585447 0.00094413053 0.0012324146 0.0011675507 0.0008648524 0.001535113 0.0011315153 0.000209006 0.00030990544 5.0449722e-05 0.00090809504 0.00054773985 0.0007423317 0.0012035862 0.0012107934 0.00028828412 0.0011026869 0.0002234202 0.00054773985 0.0006918819 0.0021260956 0.0051098363 0.00033152674 0.0012684502 0.0010017874 0.0012900715 0.00018017758 0.0011026869 0.0006342251 0.0014846633 0.0016504267 0.00067746773 0.00020179889 0.0015206988 0.00092971633 0.004050392 0.0024360009 0.00027386993 0.00046125462 0.00030990544 0.00052611856 7.9278136e-05 3.6035515e-05 0.00055494695 9.3692346e-05 0.00019459179 0.0007207103 0.0025369003 0.0006486393 0.00031711254 0.003070226 0.0012180004 0.0023567227 0.00020179889 5.0449722e-05 0.000627018 0.0017945687 0.0009729589 0.0063782865 0.00013693496 0.0016864622 0.00017297048 0.00027386993 0.005873789 2.162131e-05 0.0002162131 0.00016576337 0.0017224977 0.00016576337 0.00028107702 0.00058377534 0.00067746773 0.007884571 0.00036756226 0.00013693496 0.00028828412 4.324262e-05 3.6035515e-05 0.0004756688 0.00028828412 0.00034594096 0.0008864737 0.0008648524 0.0004468404 0.0004108049 0.00033873387 0.0002378344 0.000490083 0.00025945573 0.00028828412 9.3692346e-05 3.6035515e-05 5.0449722e-05 0.00015134917 5.0449722e-05 0.00012972786 2.8828414e-05 0.00018738469 4.324262e-05 0.000115313655 2.162131e-05 4.324262e-05 7.207103e-05 0.0005909825 0.00023062731 7.9278136e-05 5.0449722e-05 0.000418012 0.0008504382 0.0002522486 8.648524e-05 0.0034449955 0.00067026063 0.0007207103 0.0014342136 0.0015927699 0.00012972786 0.0006486393 0.00077836716 0.00036756226 0.00038918358 0.00012252075 0.00029549125 0.005030558 8.648524e-05 7.9278136e-05 8.648524e-05 0.0002450415 0.0002234202 0.0002522486 0.00023062731 0.00018017758 8.648524e-05 0.00046125462 0.00033152674 0.00033873387 0.00017297048 0.000100899444 0.0002522486 0.0002378344 0.00016576337 0.00010810655 5.0449722e-05 0.0008288169 0.00019459179 0.00010810655 0.0015134917 0.00020179889 4.324262e-05 7.9278136e-05 0.00010810655 0.00209006 0.00046846172 0.0002450415 0.0010089944 0.00077836716 0.00036756226 0.00033873387 0.0010522371 0.0017729474 0.0010306158 0.00079998845 0.0005909825 0.0009513376 0.0009945802 0.00075674587 0.0008648524 0.0014053851 0.011264702 0.00014414206 0.00012252075 0.0008216098 0.00016576337 0.0006558464 0.022212293 0.6118383 1.8219449e-05 2.550723e-05 1.093167e-05 0.0 0.0 0.0 3.6438898e-06 0.0 0.0 7.2877797e-06 0.0 0.0 0.0 3.6438898e-06 3.279501e-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 0.0132929105 0.00013482393 5.101446e-05 4.008279e-05 0.00012753614 4.372668e-05 0.00010202892 9.1097245e-05 0.00015304338 5.465835e-05 0.0004737057 3.279501e-05 6.923391e-05 7.2877796e-05 5.8302237e-05 0.00012753614 0.0059395405 0.00013846782 3.279501e-05 5.465835e-05 7.2877796e-05 0.0 1.8219449e-05 2.186334e-05 2.186334e-05 0.000116604475 7.2877797e-06 2.550723e-05 1.8219449e-05 0.0 0.00013482393 0.000859958 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014043552 0.00029151118 0.00018948228 0.0004336229 0.00038260844 0.00014575559 0.000597598 0.0005866663 0.00051743235 0.0017016965 5.8302237e-05 7.652169e-05 0.0002149895 0.000116604475 0.00020405784 0.0028276586 0.023288101 0.0013154442 0.0010822354 0.0005137885 0.0018328766 0.00042633511 0.001260786 0.0005684468 0.00040082788 0.0013300198 0.00012389226 0.0003206623 0.00022592118 9.8385026e-05 0.0016433944 0.010345004 0.024953358 0.000827163 0.0010166453 0.0013482393 0.0016980527 0.0006085296 0.0041540344 0.0017818622 0.0006923391 0.0030062092 0.0009802064 0.0002550723 0.0013555271 0.0002477845 0.0011113865 0.008202396 0.039711114 0.001953125 0.0023721724 0.0041868296 0.003181116 0.0014757754 0.007983763 0.0024887768 0.0012972248 0.005163392 0.000794368 0.00070691464 0.003968196 0.00040082788 0.0014867071 0.012381938 0.0032248425 0.00020405784 0.00017490672 0.00040082788 0.00023320895 2.9151119e-05 0.0004409107 2.9151119e-05 8.380947e-05 0.0004737057 2.550723e-05 9.8385026e-05 0.00044819847 3.6438898e-05 0.00012753614 0.0014320487 0.002521572 6.194613e-05 0.0005028568 0.0002878673 0.00049192517 0.0003935401 0.001293581 0.0007178463 0.0004700618 0.00010202892 6.559002e-05 2.186334e-05 0.00020770173 5.465835e-05 7.652169e-05 0.00019312616 0.0024887768 0.0001785506 0.00030608676 0.000116604475 0.0006486124 0.0006413246 9.474114e-05 0.0002550723 0.0010312209 0.0002550723 0.00015304338 4.737057e-05 0.0004409107 0.00013482393 0.00019312616 0.0004773496 0.03210267 0.006682894 0.007586579 0.0040337862 0.009525129 0.011419951 0.0031628965 0.0065990845 0.018008104 0.0069416105 0.0025908058 0.0016288188 0.0090878615 0.0023102262 0.0044856286 0.008162313 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 258.0 11.7984495 3044.0 0.044021025 0.0009855453 0.0009855453 0.0 0.011169514 0.0006570302 0.0 0.0 0.0016425756 0.0 0.0 0.0009855453 0.0006570302 0.0042706965 0.005913272 0.0016425756 0.010840999 0.0026281208 0.0065703024 0.0052562417 0.0016425756 0.0009855453 0.0049277265 0.0022996059 0.0016425756 0.002956636 0.0013140604 0.0006570302 0.0003285151 0.0003285151 0.0006570302 0.0 0.0045992117 0.023324573 0.0052562417 0.013140605 0.008541393 0.013797634 0.008212877 0.014454665 0.0075558475 0.0065703024 0.0 0.0039421814 0.010840999 0.008212877 0.006241787 0.006241787 0.016754271 0.006241787 0.016754271 0.021681998 0.011169514 0.008212877 0.012483574 0.015768725 0.0016425756 0.007884363 0.0 0.0039421814 0.0036136662 0.0042706965 0.0042706965 0.010512483 0.0009855453 0.040735874 0.006898817 0.019382391 0.019710906 0.08738502 0.005584757 0.011826544 0.013140605 0.03712221 0.006241787 0.0036136662 0.03646518 0.01346912 0.042378448 0.05321945 0.016754271 0.0 0.048620235 0.025624178 0.06274638 0.018725362 0.0042706965 0.005913272 0.005913272 0.0075558475 0.0013140604 0.0 0.0016425756 0.0 0.0003285151 0.0003285151 5.5362277 0.0 0.0 8.0 1.0 138752.0 69632.0 0.0 3.0 105.0 0.0 1.0 0.0 0.0 0.0 936810600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 4.0 0.0 4.0 0.0 20480.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 -3072.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2202253 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7531141 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4255986 -5.194475 3.82003 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1135.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11316.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20134.0 -2804.0 24156.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 3.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 -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 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 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 143.0 25568.0 120.0 40960.0 24156.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 448.0 41528.0 0.0 0.0 0.0 0.0