Input: 0.19975866 0.007475083 0.005171441 0.00424685 0.0059393216 0.0035259826 0.0030715226 0.0026013916 0.008681753 0.002319313 0.0022566288 0.0022252868 0.0053908355 0.002319313 0.0020215632 0.0073497146 0.0044192313 0.0019432082 0.0013477089 0.0017238137 0.0034162854 0.0071930042 0.0021155896 0.0015827745 0.0028677993 0.0016611295 0.0018178399 0.0013320378 0.0020842475 0.0019588792 0.0021155896 0.0013320378 0.007490754 0.001379051 0.0040117847 0.0018335109 0.0043722186 0.0034006143 0.0012850248 0.0015671033 0.002334984 0.0015827745 0.0013477089 0.0019432082 0.0020685764 0.0029304833 0.003776719 0.001379051 0.004716981 0.0039491006 0.0034006143 0.0058139535 0.003228233 0.0035259826 0.002319313 0.0025073653 0.0034162854 0.005046073 0.0034319563 0.0052968096 0.0029774965 0.0036200087 0.0026640757 0.0024760233 0.01560835 0.002366326 0.0018961951 0.0034632985 0.004105811 0.012568169 0.0044035604 0.0049677175 0.002334984 0.0021782736 0.0013633799 0.0015671033 0.002820786 0.004983389 0.001864853 0.001410393 0.008054911 0.0024760233 0.0022096157 0.0067228735 0.0023819972 0.0039334293 0.006158716 0.0073497146 0.0019432082 0.0026484048 0.0014730771 0.0016768005 0.0020058923 0.003353601 0.0024133392 0.0022566288 0.0019588792 0.005171441 0.0021312605 0.0034476274 0.004184166 0.012380117 0.005954993 0.002836457 0.0076474645 0.006581834 0.00697361 0.0014417351 0.0063154264 0.002805115 0.0053594937 0.00590798 0.004058798 0.0014887482 0.008117596 0.0068169 0.013304708 0.012834577 0.0021939448 0.002742431 0.0029148122 0.0026327337 0.0013633799 0.0013477089 0.0020999184 0.0039334293 0.0017081427 0.0017081427 0.0049677175 0.005030402 0.0033849434 0.0076161223 0.0032439039 0.005469191 0.0014730771 0.0019745503 0.002820786 0.007898201 0.0016611295 0.012239077 0.0015827745 0.005030402 0.0013477089 0.0015984455 0.0012693537 0.0011439854 0.0011596564 0.0013633799 0.0020215632 0.0015671033 0.0011126434 0.0014730771 0.001880524 0.0013320378 0.0016141165 0.0013477089 0.0012850248 0.0011283144 0.0014260641 0.0015984455 0.001849182 0.0026170625 0.0017864979 0.0022879709 0.0020529055 0.0014417351 0.001394722 0.0016924717 0.0020372344 0.0015044193 0.0015514323 0.0013006958 0.001410393 0.0017394847 0.0013006958 0.0015514323 0.002319313 0.0012223406 0.00095593306 0.0012850248 0.0015827745 0.0010342882 0.0020058923 0.0020999184 0.0019588792 0.0012380116 0.0014260641 0.001410393 0.0020842475 0.0014887482 0.0017551557 0.0017238137 0.006942268 0.0038080611 0.0025073653 0.0022879709 0.002303642 0.0013163668 0.0019588792 0.0032439039 0.002397668 0.0024760233 0.0014417351 0.0014730771 0.0017708268 0.0012066696 0.0013163668 0.0013006958 0.0022723 0.001379051 0.0013163668 0.0016141165 0.0015514323 0.00095593306 0.002789444 0.0013477089 0.0024760233 0.0009716041 0.00076788064 0.0015827745 0.0021155896 0.0013320378 0.0011753276 0.0016924717 0.0024760233 0.0017238137 0.0016768005 0.0011909986 0.0021626027 0.0011283144 0.001394722 0.0012693537 0.011173447 0.004199837 0.0014574061 0.0041528237 0.003290917 0.0012223406 0.0013320378 0.0014417351 0.0043565473 0.0015514323 0.0016297875 0.0015044193 0.002789444 0.0015514323 0.002397668 0.0021626027 0.005218454 0.001880524 0.0016611295 0.0019902212 0.004293863 0.0019118661 0.002319313 0.035541903 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.013807953 8.8050714e-05 0.000144083 0.0014088114 0.00012807376 0.00010405994 8.0046106e-05 6.403688e-05 8.0046106e-05 7.20415e-05 7.20415e-05 7.20415e-05 6.403688e-05 5.6032273e-05 8.0046106e-05 7.20415e-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 0.012102971 9.605533e-05 5.6032273e-05 5.6032273e-05 0.0003762167 0.000144083 0.00042424435 0.00085649337 0.00085649337 0.0002241291 1.600922e-05 0.00013607838 0.00010405994 8.8050714e-05 3.201844e-05 0.0008244749 0.017434042 0.0 0.0034019595 0.0006883965 0.00077644724 0.00024814293 0.0065717855 0.0036661117 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0326348 6.403688e-05 0.0038422132 0.0011126408 0.0040743467 0.00288166 0.0128474 0.0070440574 6.403688e-05 0.00019211066 0.0004482582 4.0023053e-05 6.403688e-05 8.0046106e-05 5.6032273e-05 0.00012807376 0.027936092 0.00038422132 0.0022172772 0.0023213371 0.0035700563 0.0026014985 0.013127562 0.007564357 0.0013447746 0.00042424435 0.0011446594 0.00023213371 0.00050429045 0.00024814293 0.00019211066 0.0017610143 0.009181288 0.00040823515 0.0005202997 0.005795338 0.001953125 0.0015849129 0.0063636657 0.0034259735 0.00040823515 0.00042424435 0.0007284196 0.00040823515 0.00038422132 0.00038422132 0.00040823515 0.00040823515 0.032522734 0.0020811989 0.002961706 0.009989754 0.0037461577 0.0028016136 0.0058673797 0.004546619 0.0024894339 0.0017129867 0.0040183146 0.0014888576 0.001977139 0.0014488345 0.0019451204 0.0023693647 0.0028416368 0.00033619365 0.0008965164 0.005259029 0.00044025359 0.0003041752 0.002753586 0.0017129867 0.00024013832 0.00020811988 0.00024814293 0.00023213371 0.00020811988 0.00018410604 0.00028016136 0.00024814293 0.026535284 0.004298476 0.0028256276 0.0036340933 0.009869685 0.0051309555 0.004362513 0.0064437115 0.011286501 0.00063236424 0.0017610143 0.0014728484 0.0053150617 0.0018650743 0.00411437 0.008813077 0.07312212 0.016529521 0.010862256 0.014528369 0.030193392 0.026935514 0.014944608 0.019507237 0.0362849 0.003578061 0.004810771 0.0066758455 0.015024655 0.0069800206 0.01991547 0.044369556 0.014768506 0.014208184 0.014640433 0.013847976 0.013255635 0.01470447 0.014408299 0.014672452 0.014872567 0.014888576 0.013984055 0.014488345 0.014112129 0.01387199 0.01439229 0.01439229 432.0 12.75 5508.0 0.009259259 0.001997095 0.008896151 0.001997095 0.0061728396 0.0014524328 0.00090777053 0.0023602033 0.0021786492 0.0030864198 0.001633987 0.0029048657 0.0029048657 0.0063543934 0.00798838 0.0038126362 0.012345679 0.014342774 0.013616558 0.0110748 0.011619463 0.009077705 0.0072621643 0.0078068264 0.009985476 0.010893246 0.0076252725 0.008169935 0.009985476 0.011256354 0.009985476 0.0076252725 0.0025417574 0.0061728396 0.0038126362 0.010893246 0.011256354 0.011437909 0.009440813 0.010530138 0.0036310821 0.010530138 0.0029048657 0.003267974 0.008714597 0.009440813 0.0043572984 0.0047204066 0.013071896 0.0025417574 0.005628177 0.013616558 0.0067175017 0.004901961 0.00798838 0.024872912 0.001997095 0.0025417574 0.001997095 0.0029048657 0.001633987 0.0014524328 0.0010893246 0.0018155411 0.0023602033 0.031045752 0.00798838 0.018336965 0.022694264 0.08424111 0.009077705 0.010348584 0.009985476 0.03540305 0.0036310821 0.00399419 0.03721859 0.015432099 0.030319536 0.037037037 0.014342774 0.0023602033 0.03721859 0.036492374 0.050108932 0.016521424 0.0061728396 0.009803922 0.009440813 0.012164125 0.0027233115 0.001633987 0.0014524328 0.001997095 0.0023602033 0.0010893246 5.911604 0.0 0.0 0.0 1.0 63812.0 1499136.0 0.0 0.0 172.0 1.0 1.0 0.0 0.0 0.0 1330111200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 10.0 0.0 5.0 0.0 5.0 0.0 28160.0 1024.0 4096.0 6.0 1.0 0.0 1.0 2.0 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 11264.0 0.0 0.0 0.0 0.0 0.0 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 -28160.0 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 -5.2413025 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.5099373 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4308603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.518795 0.0 4.7562914 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1019904.0 -3890.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10850.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -425660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28078.0 0.0 2776.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 1.0 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 -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 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 39732.0 2776.0 1490944.0 0.0 0.0 0.0 0.0 2404.0 499712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 720.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.02591677 0.004102767 0.003521519 0.0038158167 0.003927967 0.0034812996 0.0035598048 0.0039608385 0.003974374 0.0035168782 0.003619747 0.0036684745 0.003580301 0.0036135595 0.0037156548 0.0039333813 0.0039565847 0.0035783674 0.0034812996 0.003641017 0.0036135595 0.003799961 0.0036348293 0.0037303504 0.0034921279 0.0037307371 0.0037009595 0.0037988008 0.0036990258 0.0038003477 0.0037593548 0.0038270317 0.0040861377 0.0036742752 0.0035474296 0.0037523939 0.0035249994 0.0037017327 0.0036576462 0.0037191354 0.0035725667 0.0037195222 0.0036622868 0.0039059238 0.0036429507 0.0038544892 0.0038413405 0.0037864256 0.0036166534 0.0036765956 0.003853329 0.003961999 0.0038989626 0.0037937735 0.0038927752 0.0037995742 0.0036533922 0.00392642 0.0038711184 0.0038684113 0.0037245497 0.0038247113 0.0038328327 0.0037601283 0.0036216807 0.003960452 0.003712948 0.003647978 0.0037044398 0.003919846 0.0037570344 0.0038513956 0.003694385 0.003650685 0.0037659293 0.0038069221 0.003691678 0.0039314474 0.0037899062 0.0037725035 0.0037988008 0.0036626735 0.0037574212 0.003857583 0.003631349 0.0037446592 0.0039654793 0.0038943219 0.0037721167 0.0038254848 0.0039140447 0.0038931617 0.0040849773 0.0038452079 0.0039105644 0.0039314474 0.003563672 0.003929514 0.0036278684 0.004060227 0.003930674 0.004186686 0.0041271304 0.003989456 0.0039558113 0.0043827556 0.0039465297 0.0038927752 0.0040903916 0.0038583565 0.0040946454 0.0039755343 0.003932221 0.0036843303 0.0038757592 0.004237734 0.0042396677 0.0043699937 0.0038889078 0.0038931617 0.0036912912 0.0039175255 0.0038297388 0.0038912282 0.0037949337 0.003919846 0.0037755973 0.003769023 0.004130224 0.0035760473 0.0038088558 0.0037829452 0.0036209072 0.003979788 0.003684717 0.0036456578 0.0035880357 0.0037783044 0.0037361514 0.0040660277 0.003753554 0.003998351 0.0037346045 0.0037740504 0.0035686994 0.0038131096 0.0036932249 0.0036808497 0.0037075337 0.0037740504 0.0037972538 0.0037875858 0.0036820099 0.0039639324 0.0040582935 0.003804215 0.0037829452 0.0039430493 0.0038189106 0.0037330575 0.003686264 0.003770183 0.0037384718 0.0037612885 0.003791453 0.0038595167 0.003936088 0.0038738255 0.0037303504 0.0037469796 0.0037991875 0.003802668 0.0038204575 0.003960452 0.0038517823 0.003918299 0.0037056 0.003762062 0.0038127229 0.0038935484 0.0038691848 0.0038684113 0.003891615 0.00385913 0.003678916 0.0038297388 0.003828192 0.0037752106 0.00385913 0.0038877476 0.003838247 0.0038974157 0.0038119494 0.0036568728 0.0036027313 0.003702893 0.0036754354 0.0037280302 0.003866091 0.0038734388 0.003753554 0.0037895194 0.003829352 0.0038359265 0.0039217793 0.0039155916 0.003963159 0.0038734388 0.0037288035 0.0038452079 0.0038711184 0.004005699 0.003781785 0.0038270317 0.0038831069 0.003916365 0.0038834936 0.0038622238 0.0039074705 0.003870345 0.0038073089 0.00385913 0.003850622 0.0039805616 0.0036278684 0.0037009595 0.0036607399 0.0038231646 0.003860677 0.0038428875 0.0039171386 0.003961999 0.0039105644 0.0039206194 0.0038950953 0.0040397304 0.0039221663 0.003873052 0.0038428875 0.003838247 0.0036243878 0.0038015079 0.003828192 0.0039821086 0.0038223912 0.0038347663 0.0039724405 0.0039159786 0.0037581946 0.0038544892 0.003863384 0.003964706 0.003760515 0.003868798 0.0039186855 0.0044910386 0.0059429477 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009757887 2.90183e-06 2.2247363e-05 1.702407e-05 2.0893176e-05 1.5476426e-05 7.9316684e-05 3.7530335e-05 4.2560173e-06 9.672766e-07 9.672766e-07 1.5476427e-06 2.3214639e-06 7.7382134e-07 1.9345532e-06 4.6429277e-06 0.00029830812 1.9345534e-07 1.3348417e-05 1.1800775e-05 6.7709366e-06 7.738213e-06 3.8691065e-05 1.8958623e-05 1.9345534e-07 0.0 0.0 1.9345534e-07 0.0 0.0 0.0 0.0 0.00030256412 5.9971153e-06 5.416749e-06 8.898945e-06 5.6102044e-06 5.0298386e-06 5.416749e-06 6.3840257e-06 6.964392e-06 7.931669e-06 5.416749e-06 5.416749e-06 6.1905707e-06 5.416749e-06 8.70549e-06 4.836383e-06 0.0009488984 4.2560173e-06 5.4167493e-05 3.443505e-05 6.906355e-05 4.2173262e-05 0.00027354583 0.0001325169 5.416749e-06 1.3541872e-06 2.7083745e-06 2.90183e-06 2.7083745e-06 1.9345532e-06 3.0952854e-06 5.6102044e-06 0.0004759001 6.7709366e-06 1.741098e-05 1.1800775e-05 8.6861444e-05 4.89442e-05 5.3587126e-05 3.8304155e-05 2.5149193e-06 2.3795006e-05 7.157847e-06 6.577481e-06 3.6756512e-06 3.8691064e-06 3.0952854e-06 2.1280086e-06 6.1325336e-05 1.9345532e-06 2.5149193e-06 3.6756512e-06 5.010493e-05 2.1280086e-05 0.00015689227 8.453998e-05 1.1607319e-06 4.062562e-06 2.7083745e-06 2.1280086e-06 5.8036596e-07 9.672766e-07 1.3541872e-06 9.672766e-07 0.00054670474 1.8958623e-05 0.00016482394 0.00012439178 1.4122239e-05 0.0002741262 0.0015892355 0.0008806087 4.0819075e-05 1.6637157e-05 0.00015611845 2.2634273e-05 2.1860453e-05 1.6637157e-05 5.842351e-05 1.5863337e-05 0.0007976163 5.145912e-05 5.8230053e-05 7.003083e-05 0.00014625223 0.00011104336 0.00021260741 0.00014218966 5.2426392e-05 5.7069323e-05 5.300676e-05 4.1592895e-05 3.6176145e-05 3.9077975e-05 5.0685296e-05 6.15188e-05 0.0022597518 0.00016617813 0.000120716126 0.00021202704 0.0001723687 0.0001563119 0.00024452753 0.00024800972 0.00022634273 0.00017352944 0.0001510886 0.00018126765 0.00019074696 0.0001926815 0.00020738412 0.0002476228 0.0031910457 0.00043333994 0.00038691066 0.000428697 0.0005056922 0.0006266018 0.00041476823 0.00053587125 0.0010957309 0.00021144668 0.00027992987 0.0003360319 0.00050124276 0.00031165653 0.00046274514 0.0009755952 0.0037383307 0.0006283429 0.00058268744 0.000746931 0.0007088203 0.0007714999 0.0007422881 0.00081831607 0.0011297791 0.00053238904 0.0006376288 0.0006006788 0.00079007156 0.000701469 0.0007738213 0.0011524134 0.062228583 0.057927877 0.058228508 0.059295993 0.058503408 0.059419997 0.059806716 0.059770152 0.058103148 0.059592754 0.059759706 0.06006459 0.059252657 0.06061826 0.06008297 0.059801105 11749.0 6.3884587 75058.0 0.0087932 0.008193663 0.008593354 0.008873138 0.008686616 0.008979722 0.008606678 0.008953076 0.008113725 0.008833169 0.009006368 0.009685843 0.00835354 0.008420155 0.012230542 0.008939753 0.008246955 0.008699939 0.00984572 0.009712489 0.008993045 0.009046338 0.009206214 0.008580032 0.008260279 0.008739908 0.008766554 0.0088464925 0.008313571 0.008500094 0.00923286 0.0076873885 0.00835354 0.00997895 0.008606678 0.009699166 0.01024541 0.0099656265 0.009925658 0.010351994 0.009512643 0.010178795 0.0095659355 0.008913107 0.008739908 0.009605905 0.010125503 0.009139598 0.009779104 0.0086466465 0.009259506 0.0107117165 0.008779877 0.008460124 0.009859042 0.010032242 0.009832396 0.009152922 0.00905966 0.009312798 0.018079352 0.00905966 0.009006368 0.010125503 0.008127049 0.01846572 0.009072984 0.016693756 0.016240774 0.022635829 0.014175704 0.013043246 0.010831623 0.020410882 0.009645874 0.010471902 0.016067574 0.010431932 0.015867729 0.010778331 0.018892057 0.008766554 0.011351222 0.01670708 0.018212583 0.016547203 0.009379413 0.010018919 0.009459351 0.010005596 0.009006368 0.0093927365 0.008113725 0.008713262 0.008233633 0.008233633 6.5313225 2.0 0.0 0.0 37.0 2585816.0 2736128.0 1.0 0.0 106.0 0.0 1.0 1.0 0.0 0.0 1100207500.0 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 8.0 0.0 6.0 0.0 4.0 0.0 32256.0 1024.0 4096.0 3.0 0.0 0.0 2.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -32256.0 0.0 2545152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.37798432 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6289816 0.0 7.9654646 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69836.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31758.0 0.0 2621440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 37320.0 7216.0 114688.0 0.0 0.0 6872.0 2578944.0 0.0 0.0 28.0 8656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 456.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.27117115 0.019089034 0.01133181 0.008309994 0.012308372 0.0035561617 0.010705336 0.0032429246 0.003206073 0.0014740566 0.01639888 0.0021189563 0.0010502653 0.003850973 0.0039431015 0.0021558078 0.0016951651 0.005398732 0.0062831664 0.0037404187 0.0024321934 0.002137382 0.0052513266 0.0026901532 0.0039246758 0.0026717277 0.0024506191 0.0018609965 0.0021742336 0.0014372052 0.0009765625 0.001068691 0.0032244988 0.0007186026 0.00057119696 0.00092128536 0.0020268278 0.0012345224 0.001326651 0.002837559 0.009691922 0.0043853186 0.0065779774 0.003593013 0.0023032133 0.0035561617 0.005490861 0.008383697 0.0035008844 0.0009949883 0.00082915684 0.00082915684 0.0010502653 0.000755454 0.00060804834 0.00057119696 0.0014556309 0.0005343455 0.0007738797 0.0022847878 0.00092128536 0.001953125 0.0011792453 0.0004974941 0.000884434 0.0035008844 0.0013635023 0.0037588445 0.0019715508 0.00092128536 0.0017504422 0.0036667157 0.0030033903 0.0079967575 0.00079230545 0.00040536557 0.008604805 0.001953125 0.0036667157 0.0030586675 0.0016951651 0.00035008843 0.0022847878 0.0062094633 0.010134139 0.00079230545 0.0034824586 0.0007738797 0.0009397111 0.0002579599 0.0008660083 0.00029481133 0.0002395342 0.0002395342 9.212854e-05 0.016196197 0.00062647404 0.028615125 0.010686911 0.009268131 0.024248231 0.051573556 0.00081073114 0.011258108 0.0013635023 0.024837853 0.00070017687 0.0010502653 0.011221256 0.0068912148 0.02605395 0.02927845 0.010834316 0.0004974941 0.022866303 0.01927329 0.039559994 0.008549528 0.0057672462 0.0052697523 0.0013635023 0.0034824586 0.00011055425 0.0014372052 0.0004790684 0.0011055424 0.0045880014 0.00014740566 0.0035008844 0.0016767394 0.00018425708 0.00057119696 0.0005527712 0.00036851416 0.0014003537 0.0002395342 0.00014740566 0.00035008843 0.00031323702 0.0009765625 0.00012897995 0.00020268279 0.0009765625 0.00029481133 0.00011055425 0.0024690449 0.00011055425 0.00031323702 0.00012897995 0.0002395342 0.00014740566 0.00012897995 0.0010502653 0.00011055425 0.00018425708 0.0014372052 0.0002211085 0.00011055425 0.0002211085 0.00011055425 0.000755454 0.00042379127 0.0002211085 0.00020268279 0.0002211085 0.00014740566 0.00011055425 0.00042379127 0.00012897995 0.0002211085 0.00014740566 0.0002579599 0.0002579599 0.0002211085 0.0002763856 0.00011055425 0.00012897995 0.00020268279 0.00016583137 3.6851416e-05 0.00029481133 0.00016583137 0.00011055425 0.0017320166 0.00014740566 0.00020268279 0.0002211085 0.00018425708 0.0002763856 0.0002579599 0.00029481133 5.5277123e-05 0.00029481133 0.00040536557 0.00040536557 0.00018425708 0.00046064268 9.212854e-05 0.0011792453 0.0002395342 0.00040536557 0.00014740566 0.0002395342 0.00018425708 0.0002579599 0.0002395342 0.0002211085 0.00016583137 0.0011423939 0.0002395342 0.00016583137 0.0002395342 0.00020268279 0.00012897995 9.212854e-05 0.0002211085 0.00011055425 0.0009581368 0.0002211085 0.00012897995 0.0002763856 0.0002211085 0.00012897995 0.00014740566 0.0016214623 0.00012897995 0.00014740566 0.00012897995 0.00016583137 0.00011055425 0.0004790684 0.00011055425 0.0002763856 0.00016583137 0.00012897995 0.0002395342 0.00031323702 5.5277123e-05 7.370283e-05 9.212854e-05 0.00031323702 9.212854e-05 0.00046064268 0.00014740566 0.00020268279 9.212854e-05 0.0002211085 0.00012897995 0.0004974941 9.212854e-05 0.00018425708 5.5277123e-05 0.00011055425 7.370283e-05 0.0037404187 0.00036851416 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01533391 6.573017e-05 0.00029109075 0.0002629207 0.000384991 0.00021597055 0.0018122747 0.00076059194 1.8780049e-05 0.0 9.390024e-06 1.8780049e-05 0.0 1.8780049e-05 1.8780049e-05 1.8780049e-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 0.00025353066 0.0 0.0 1.8780049e-05 0.0012770433 0.002732497 0.0104417065 0.0045072115 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.040649414 0.0032489484 0.004375751 0.0008920523 0.014657827 0.016723633 0.08788124 0.040893555 0.0007418119 5.6340145e-05 7.5120195e-05 5.6340145e-05 8.451022e-05 0.00022536058 0.0003192608 0.0006573017 0.17294547 0.014657827 0.02340933 0.007361779 0.010563777 0.010103666 0.059044473 0.03853666 0.002779447 0.00030048078 0.0005258414 0.0002629207 0.000394381 0.0012207031 0.0012582632 0.002788837 0.040536735 0.00793457 0.009793795 0.0024601864 0.00806603 0.0055964543 0.034414437 0.017934946 0.0018780048 0.00061974156 0.0005446214 0.0008451022 0.0006573017 0.0012300932 0.0006666917 0.0014366737 0.060471755 0.014826848 0.014535757 0.0041691707 0.010169396 0.0080003 0.04345703 0.021963267 0.003540039 0.0033991886 0.0014836238 0.0013709435 0.001962515 0.0009953425 0.0009296124 0.0010329026 0.034301758 0.0059720553 0.0049015926 0.0038217397 0.0029109074 0.0022629958 0.005568284 0.0027700572 0.003079928 0.0028263973 0.0015493539 0.0019719051 0.0020658053 0.0009859526 0.0010422927 0.0008920523 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 595.0 32.62857 19414.0 0.0010816936 5.150922e-05 5.150922e-05 0.0002575461 0.0015967858 0.00020603689 0.0002575461 0.0002575461 0.0027814978 0.0027814978 5.150922e-05 0.00010301844 0.00030905532 0.00015452766 0.0068507264 0.011641084 0.002060369 0.0013392398 0.00092716597 0.00046358298 0.0013392398 0.0005666014 0.0002575461 0.00041207377 0.0005666014 0.0002575461 0.00036056453 0.0026269702 0.0013907489 0.00015452766 0.0014422581 0.00020603689 0.00015452766 0.0072628 0.002369424 0.0072112908 0.0033480993 0.0008756567 0.0012362213 0.008911095 0.0062326156 0.016895024 0.0007726383 0.0 0.01782219 0.004172247 0.005356959 0.0062841247 0.003039044 5.150922e-05 0.004944885 0.014216545 0.021942928 0.0012362213 0.0049963943 0.0012877305 0.0007726383 0.0 0.0011332028 5.150922e-05 0.0 5.150922e-05 0.0 0.04434944 0.00061811064 0.063613884 0.024569899 0.021633873 0.054548264 0.12073761 0.0015967858 0.023951788 0.0027814978 0.053878643 0.0009786752 0.0022148965 0.026578758 0.015246729 0.059287112 0.05356959 0.019470485 0.00036056453 0.04759452 0.035592873 0.08978057 0.018182755 0.012722777 0.010456372 0.0028330071 0.0073143095 5.150922e-05 0.0 0.0 0.0 5.150922e-05 0.0 4.8912077 0.0 0.0 0.0 1.0 54272.0 81920.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1528753500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 51712.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -51712.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5826406 0.0 3.1916668 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -51444.0 0.0 1080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 59540.0 1080.0 65536.0 0.0 0.0 0.0 0.0 12.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.2618414 0.006068314 0.005346112 0.0041833213 0.005141715 0.0031431685 0.0025390624 0.0022756178 0.0073401164 0.0020030886 0.0022483647 0.0016578852 0.0042787064 0.0022983286 0.0014216934 0.0055187135 0.0044921874 0.0012354652 0.0014216934 0.0014307776 0.002520894 0.002825218 0.002670785 0.0029932775 0.0038608285 0.003542878 0.0040379725 0.004746548 0.005950218 0.004510356 0.005250727 0.0063317586 0.0074536703 0.0070539606 0.0019304142 0.0013172239 0.0027843385 0.0011673329 0.0010128997 0.0010719476 0.0016715117 0.0011491643 0.0019712937 0.0020575945 0.001049237 0.0012990552 0.0011537063 0.00092659885 0.0023255814 0.0012127544 0.0010083575 0.0043422966 0.0014989099 0.0018395712 0.0011173692 0.00095385173 0.001321766 0.001771439 0.0012082122 0.018722747 0.0015625 0.0015988372 0.0010719476 0.01708303 0.0035882995 0.0065134447 0.022006722 0.0023937137 0.0022847021 0.006281795 0.002375545 0.0017805232 0.0020939317 0.0020348837 0.0015488735 0.0008811773 0.0014307776 0.0033657341 0.0014307776 0.0010446948 0.004292333 0.0018441133 0.0015397893 0.0022074855 0.0012718023 0.0031795057 0.0030114462 0.002734375 0.0014171512 0.0036428052 0.0011537063 0.0015443314 0.0012127544 0.0032658067 0.002466388 0.001953125 0.002043968 0.0023392078 0.0013081395 0.0017668968 0.0020212573 0.0034202398 0.0040606833 0.0009765625 0.0031931323 0.0018486555 0.0041288156 0.0009493096 0.0020212573 0.0012536338 0.002221112 0.002557231 0.0022710755 0.0008993459 0.0036518895 0.002012173 0.008689135 0.008244004 0.0020348837 0.0010446948 0.0015079941 0.0015897529 0.0011855015 0.0009856469 0.0014307776 0.002371003 0.0016578852 0.0015806686 0.002611737 0.0025345203 0.001712391 0.0088254 0.0021984011 0.0067405524 0.000962936 0.00078125 0.0024118822 0.0075581395 0.002257449 0.033457484 0.0015170785 0.005536882 0.0011309957 0.00095385173 0.0020575945 0.0010855742 0.0017668968 0.0010719476 0.0011945858 0.0015488735 0.0009811047 0.0008130451 0.0011764171 0.0012536338 0.0008130451 0.0007948764 0.0010719476 0.000872093 0.00083121366 0.0007903343 0.0016851381 0.0017078489 0.0013353925 0.0016896803 0.00094022526 0.001021984 0.00075853924 0.00078125 0.0016760537 0.0012445494 0.0014671148 0.0029115188 0.00094022526 0.0007903343 0.0007903343 0.0008175872 0.0013853561 0.001230923 0.00095385173 0.0009583939 0.0012263808 0.0010128997 0.0015670422 0.001653343 0.0017033067 0.0009992733 0.0011764171 0.0009674782 0.0013762718 0.0010265262 0.0013671875 0.0010446948 0.0058366642 0.0032839752 0.0025753998 0.0041515264 0.0020939317 0.0009720203 0.002103016 0.0030704942 0.0022983286 0.002225654 0.0014262354 0.0010128997 0.021252725 0.0008266715 0.0010174419 0.001021984 0.0019077035 0.0012808866 0.001653343 0.0010855742 0.001412609 0.0012127544 0.0015034521 0.00093568314 0.0018986192 0.0011219113 0.0009765625 0.0015216207 0.0013671875 0.0011309957 0.0009038881 0.0008811773 0.0024436773 0.0009720203 0.0012172965 0.0008948038 0.001771439 0.001744186 0.00094476744 0.0007267442 0.025935683 0.018195858 0.0012581758 0.003488372 0.0031477108 0.00075853924 0.0008857195 0.001053779 0.0032703488 0.0010356104 0.001112827 0.0009765625 0.0015125363 0.00074945495 0.002071221 0.0017351017 0.003125 0.0018214026 0.0013353925 0.0022392806 0.0030159883 0.0013989826 0.0022710755 0.0475109 0.050331756 0.0 0.0 4.563376e-06 1.3690128e-05 2.281688e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010495766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0042667566 6.845064e-06 1.8253504e-05 4.1070387e-05 4.3352073e-05 3.650701e-05 0.00012321115 4.3352073e-05 1.14084405e-05 2.281688e-06 6.845064e-06 2.281688e-06 0.0 0.0 2.281688e-06 6.8450645e-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 0.01115061 0.0005225066 0.00029433778 7.073233e-05 0.00034225322 0.00016199985 0.00023729556 0.00016428155 0.00012321115 8.2140774e-05 8.4422456e-05 5.4760512e-05 7.073233e-05 6.8450645e-05 3.4225322e-05 0.0005567319 0.003160138 6.845064e-06 0.00017797167 0.00012777453 0.000102675964 5.2478827e-05 0.0006594079 0.00034909826 1.14084405e-05 2.281688e-06 9.126752e-06 4.563376e-06 0.0 0.0 2.281688e-06 6.845064e-06 0.00264904 2.7380256e-05 0.0003080279 0.00016199985 7.301402e-05 5.932389e-05 0.00096287235 0.0004061405 2.281688e-06 0.0 4.563376e-06 0.0 2.281688e-06 6.845064e-06 4.563376e-06 4.563376e-06 0.01669283 0.0004015771 0.000885295 0.00046774605 0.0015241676 0.00060008396 0.0035548701 0.0020740544 0.0003856053 0.0003605067 0.00015059141 8.2140774e-05 0.00020535193 9.58309e-05 0.00026239414 0.00029433778 0.03992726 0.010676019 0.0042439396 0.00095146394 0.0016816041 0.0009902526 0.0011362807 0.0010997737 0.0012709002 0.0012184214 0.0012754636 0.001031323 0.0010564215 0.000958309 0.0010358864 0.0015401394 0.041145682 0.014511536 0.0055718822 0.0013279425 0.0022725614 0.0016154351 0.0031053775 0.0022543077 0.0016222802 0.0017865618 0.001601745 0.0014214917 0.001339351 0.0013781396 0.0014123649 0.0017454914 0.020642431 0.0072671766 0.002991293 0.00089898513 0.0017979703 0.0010495766 0.0018846743 0.0013576044 0.001236675 0.001309689 0.001309689 0.00096059067 0.0009035485 0.00077349227 0.0007415486 0.0016040268 0.0051908405 0.0016040268 0.0013370692 0.00047459113 0.0012298299 0.00048143617 0.002267998 0.0020535192 0.00066397124 0.00037419685 0.00077349227 0.0004951263 0.00050653477 0.00028521102 0.00046774605 0.00048599957 0.009717709 0.0017067026 0.0011134638 0.0013712945 0.003057462 0.002480195 0.0018915194 0.0027905046 0.005238756 0.00052022486 0.0009058302 0.0010358864 0.0024528147 0.00067537965 0.0022908149 0.004807517 0.108126916 0.020122208 0.017117225 0.052072685 0.04760058 0.02826099 0.019088602 0.027366567 0.069037035 0.011784919 0.013546382 0.013849847 0.04760058 0.015896522 0.05848651 0.06219197 0.002808758 0.0012092947 0.0009788442 0.00079859083 0.0014876607 0.0010723934 0.0007415486 0.0010381681 0.0019485616 0.0007620838 0.00095146394 0.0007689289 0.0012480834 0.00071645004 0.000994816 0.0011659426 582.0 9.960481 5797.0 0.036225636 0.0044850786 0.0058651026 0.0036225633 0.0044850786 0.0024150424 0.0018975332 0.008452648 0.0037950664 0.0022425393 0.0053475937 0.0037950664 0.003967569 0.0034500603 0.0062101088 0.0029325513 0.0036225633 0.0031050544 0.0032775574 0.0051750904 0.0029325513 0.0037950664 0.0024150424 0.0022425393 0.0024150424 0.0027600483 0.0034500603 0.028117992 0.0044850786 0.003967569 0.0032775574 0.025530446 0.006555115 0.013800241 0.031568054 0.008797654 0.0062101088 0.012765223 0.00741763 0.009487666 0.007072624 0.010177678 0.0048300847 0.0034500603 0.0048300847 0.008970157 0.0037950664 0.0041400725 0.014490253 0.0048300847 0.006555115 0.012247714 0.0069001205 0.0058651026 0.0072451266 0.009832672 0.0031050544 0.0067276177 0.0037950664 0.0041400725 0.0036225633 0.0055200965 0.0037950664 0.0072451266 0.008797654 0.031740554 0.007762636 0.028980507 0.02001035 0.06710368 0.00914266 0.008107642 0.010177678 0.025875453 0.008452648 0.0044850786 0.027255477 0.012765223 0.02742798 0.03536312 0.012075211 0.0034500603 0.0455408 0.02742798 0.056235984 0.022597896 0.01086769 0.003967569 0.0050025876 0.009832672 0.0046575814 0.0024150424 0.0041400725 0.0027600483 0.0022425393 0.0037950664 5.9387317 1.0 0.0 0.0 4.0 220160.0 266240.0 1.0 0.0 84.0 0.0 1.0 0.0 0.0 0.0 1323692300.0 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 10.0 0.0 5.0 1.0 5.0 1.0 148480.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14336.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -54784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -148480.0 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 0.0 0.0 0.0 4.619303 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.697134 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.706742 0.0 4.097914 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14214.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -86148.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -148175.0 0.0 1280.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 167788.0 1280.0 262144.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 156064.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 166872.0 0.0 0.0 356.0 155648.0 0.0 0.0 0.0 0.0


Input: 0.28381628 0.0047111744 0.0025733903 0.0025710228 0.0020928031 0.001936553 0.0019910038 0.0017092803 0.0017945076 0.0017211174 0.0017305871 0.001373106 0.0016500948 0.0015932765 0.0013210227 0.0015980114 0.0017447916 0.0014322917 0.0013139205 0.0014275569 0.0015861742 0.001373106 0.0014464962 0.0015861742 0.0014251894 0.0013091856 0.0013115531 0.0015411932 0.0016666667 0.0014772727 0.0017732008 0.0015956439 0.001640625 0.001389678 0.001579072 0.0017211174 0.0018087121 0.0018394886 0.0015577652 0.0015838068 0.001953125 0.0019199811 0.0023035037 0.001858428 0.0019412879 0.0020501893 0.0021661932 0.0020241477 0.0019318182 0.0023200759 0.0022727272 0.0025402461 0.0016358901 0.0015696023 0.001735322 0.0018631628 0.0019247159 0.0014820076 0.0016311553 0.0020004734 0.0025970645 0.0020217802 0.0020999054 0.0019933712 0.002393466 0.0021780303 0.0040553976 0.0025047348 0.002215909 0.0028006628 0.0027320075 0.002639678 0.0027320075 0.0025875948 0.0028858902 0.0027746211 0.002556818 0.0030208332 0.0023816288 0.0035132575 0.0071875 0.004363163 0.0021661932 0.0024597538 0.0021993371 0.0023792614 0.0022348484 0.0022964014 0.002689394 0.0022372159 0.0022964014 0.002220644 0.0022111742 0.0019483902 0.0021827652 0.0024408144 0.0022419507 0.0024905303 0.0022585227 0.002365057 0.0024171402 0.0026231061 0.0025733903 0.0023035037 0.0024786931 0.0028125 0.0025402461 0.002483428 0.0025899622 0.0035464016 0.0036624053 0.002376894 0.0022585227 0.0029427083 0.0022182765 0.002175663 0.002561553 0.0025071022 0.002450284 0.002862216 0.0028385418 0.0027746211 0.0027556818 0.0028882576 0.0026491478 0.0025213067 0.0025639206 0.0026704546 0.002689394 0.00211411 0.0021235796 0.0020643938 0.0017684659 0.0019578598 0.0018844696 0.0016832387 0.001813447 0.002125947 0.0016761364 0.0028716857 0.0016287878 0.0018868371 0.0016974432 0.0018773674 0.002080966 0.0022230113 0.0025426135 0.0024621212 0.0023697917 0.0021732955 0.002232481 0.0023177082 0.0022419507 0.0023910985 0.0022466856 0.0025355113 0.0026704546 0.002388731 0.002483428 0.0026207387 0.0029142993 0.002734375 0.0026089016 0.002705966 0.0028314395 0.0037973486 0.003996212 0.0038802084 0.0040151514 0.003778409 0.0034351326 0.0038683712 0.0032788825 0.0030397726 0.0030942236 0.0031321023 0.0031723485 0.0030326704 0.0026657197 0.002862216 0.002717803 0.0030350378 0.0030397726 0.0033049244 0.0031605114 0.0032362689 0.0031202652 0.0038139205 0.0034256629 0.0041335225 0.0030989584 0.0033712122 0.0074195075 0.0032670454 0.0032125947 0.0033830493 0.0030445075 0.0034753787 0.0034919507 0.003671875 0.0031652462 0.0031818182 0.0028148675 0.0026207387 0.0022395833 0.0020478219 0.0016500948 0.0015838068 0.0016429924 0.0015222537 0.0015506629 0.0014938447 0.0015672349 0.0034398674 0.00125 0.0011860796 0.0014820076 0.0012381629 0.0013328599 0.001422822 0.0013825757 0.0012807765 0.0012286932 0.0013068182 0.0016998106 0.0014038826 0.001328125 0.0013139205 0.0013115531 0.0012428977 0.0012642045 0.0012381629 0.0020407196 0.0013470644 0.0013825757 0.0014962121 0.0013210227 0.0013944128 0.0015104166 0.001344697 0.0015459281 0.0014038826 0.0015719697 0.0013920454 0.0013802083 0.0014299243 0.001439394 0.0013233902 0.0017826705 0.0014512311 0.001389678 0.0014867424 0.0017092803 0.0015577652 0.0021401516 0.13557528 0.004759257 0.000106922904 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0023368595 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.752129e-06 0.0 0.0 0.0 4.752129e-06 0.0 2.3760645e-06 8.4350286e-05 0.004344634 7.7222096e-05 3.5640967e-06 1.069229e-05 7.1281934e-06 2.0196549e-05 8.316226e-06 1.1880323e-05 7.1281934e-06 5.9401614e-06 1.6632452e-05 2.3760645e-05 1.7820483e-05 2.3760645e-06 4.752129e-06 0.00030413625 0.021775443 0.0003100764 0.0007769731 0.0007959816 0.0007674688 0.00032670886 0.0 8.316226e-06 2.613671e-05 0.0 0.0 0.0 1.5444419e-05 0.0 5.9401613e-05 0.0019020396 0.00943654 0.00032908493 0.000103358805 5.1085386e-05 4.6333258e-05 7.484603e-05 9.2666516e-05 1.9008516e-05 6.771784e-05 1.5444419e-05 6.771784e-05 0.00014018781 0.00016157239 1.7820483e-05 3.0888838e-05 0.001511177 0.005551675 7.484603e-05 2.138458e-05 2.4948677e-05 1.9008516e-05 0.00036829 0.00013543568 0.00024235858 1.3068355e-05 1.7820483e-05 2.4948677e-05 0.00017939287 0.00019008516 2.732474e-05 2.9700806e-05 0.00037898228 0.008275833 0.00023879448 8.197423e-05 4.158113e-05 0.00011523913 0.00012117929 0.0006664861 0.00016157239 4.6333258e-05 3.4452936e-05 5.3461452e-05 0.0003136405 0.00034809345 4.752129e-05 4.276916e-05 0.0015765188 0.013613662 0.00023523039 0.00010573487 0.00037066606 0.00016513649 0.00034096526 0.0006344092 8.553832e-05 9.741864e-05 9.504258e-05 0.0003457174 0.00080904993 0.0010561607 0.00015088009 0.00015563222 0.0036365667 0.021489127 0.00026730724 0.0016026555 0.002504372 0.0022976543 0.00081380206 0.0012379296 0.0010145796 8.7914384e-05 9.504258e-05 0.0004455121 0.00096943433 0.0019566892 0.00023523039 0.00027087136 0.006074409 0.016480383 0.00027799956 0.00076865684 0.0010240838 0.0010228958 0.00047283684 0.000996759 0.0010419043 0.00021028171 0.0002910679 0.0004716488 0.0010371521 0.0025126883 0.00032195673 0.0004609565 0.006671989 0.06562096 0.0013389123 0.0038444723 0.0046939156 0.0053924783 0.006642288 0.00582017 0.0083257295 0.0038373442 0.0068347496 0.009785822 0.006380921 0.0072042276 0.00075440045 0.0008648875 0.035408113 0.07016043 0.001698886 0.0031684819 0.0031078923 0.008919746 0.008999344 0.010352513 0.008812823 0.0047343085 0.007994269 0.014641309 0.012107236 0.010093522 0.002908303 0.0016775015 0.047168445 0.040151924 0.002327355 0.0022584493 0.0019056037 0.0071970993 0.0065816985 0.0036246863 0.0039573354 0.003433413 0.005671666 0.009536334 0.010704171 0.0075428165 0.0027562347 0.0016834417 0.03178699 0.012471963 0.000994383 0.0010894255 0.0013424765 0.0024592266 0.0029688925 0.002032723 0.0021871673 0.0034678662 0.0016715614 0.002246569 0.003174422 0.003028294 0.0012890149 0.0015503821 0.0066874335 0.0010454684 0.00015088009 0.00020077745 0.00018295697 0.0003172046 0.00031601658 0.0002756235 0.0002875038 0.00046333257 0.00013187158 0.00014850403 0.00012830748 0.0002684953 0.00015088009 0.00029582003 0.00050253764 0.015598863 0.015647573 0.015228197 0.015535898 0.015330368 0.015583419 0.015477684 0.015278094 0.015472932 0.015254334 0.015516889 0.015404026 0.016042 0.01575212 0.015590547 0.015462239 767.0 8.588005 6587.0 0.011689692 0.005920753 0.009108851 0.0039471686 0.0062243813 0.00470624 0.00470624 0.005313496 0.0056171245 0.005920753 0.008046151 0.0060725673 0.0056171245 0.007438895 0.0097161075 0.007894337 0.013359648 0.008501594 0.011082435 0.0069834525 0.006679824 0.005920753 0.00834978 0.007894337 0.008653408 0.008501594 0.008653408 0.011234249 0.014574161 0.012752391 0.014118719 0.007590709 0.0069834525 0.01017155 0.008197966 0.0098679215 0.009108851 0.009260665 0.008957037 0.011082435 0.007438895 0.010323364 0.0097161075 0.008805223 0.012296949 0.0126005765 0.0098679215 0.007894337 0.013056019 0.007438895 0.010778807 0.008805223 0.010323364 0.011841506 0.008653408 0.010626992 0.00941248 0.012448763 0.010475178 0.0097161075 0.018673144 0.008957037 0.009564294 0.008501594 0.00941248 0.01958403 0.011082435 0.01852133 0.018673144 0.03461363 0.012448763 0.011082435 0.011537878 0.01958403 0.008653408 0.009260665 0.0192804 0.01594049 0.022013055 0.019432215 0.010019735 0.008805223 0.019887658 0.018217701 0.017762259 0.012296949 0.0072870804 0.008501594 0.007438895 0.0069834525 0.0060725673 0.00834978 0.0060725673 0.0060725673 0.005920753 0.0045544254 6.4579144 0.0 0.0 0.0 2.0 422400.0 450560.0 0.0 0.0 4.0 1.0 1.0 0.0 1.0 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 1.0 0.0 4.0 0.0 9216.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -1024.0 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 -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 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 409088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0577087 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7376082 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5153885 0.0 0.0 0.0 0.0 0.0 0.0 -4.2589993 5.938575 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -532.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 133.0 0.0 0.0 0.0 0.0 0.0 -124.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8856.0 0.0 0.0 0.0 0.0 0.0 0.0 -908.0 408704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 908.0 24576.0 6730.0 40960.0 0.0 0.0 6488.0 751096500.0 532.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.24307577 0.015059162 0.008350229 0.0062120385 0.009800148 0.003854579 0.0037932182 0.002546262 0.008114225 0.001988865 0.002581019 0.00133063 0.005075789 0.0016957916 0.001573499 0.003328935 0.0054083397 0.002377627 0.0016314271 0.0013211899 0.0027350648 0.0030255634 0.0010083781 0.000928137 0.002356172 0.0012220684 0.00081228075 0.0009255624 0.0018180843 0.00089552556 0.0007895386 0.0009156932 0.005407052 0.001237945 0.0017271157 0.000879649 0.0046763 0.0011229471 0.0009096858 0.000906253 0.0018644268 0.00081185164 0.0010534333 0.004737232 0.0014692284 0.0011435437 0.0015284438 0.0011105032 0.00915307 0.0054289363 0.0020939938 0.00398245 0.0017717418 0.0013550885 0.0014718029 0.0018489793 0.0024115255 0.0022021262 0.0012963023 0.0027590941 0.0015280147 0.0017219665 0.0014387625 0.0011122196 0.004839357 0.004589193 0.0016327144 0.0024685955 0.0035782405 0.008021541 0.002417533 0.0013023096 0.0020892737 0.0025908882 0.0010045163 0.00088565634 0.0022029844 0.00523713 0.0017807529 0.0017228248 0.0072234203 0.0027612397 0.0025488366 0.0039240927 0.002321415 0.0048917066 0.011172829 0.003523745 0.0013743979 0.0021030048 0.00083716837 0.0015005525 0.006456624 0.0027427885 0.0023643249 0.0024437078 0.0012838584 0.003832266 0.0044793445 0.0028981217 0.0032954656 0.007952027 0.0027256247 0.0016563147 0.003937395 0.004508952 0.003483839 0.0011122196 0.0036301613 0.0018725796 0.0037734797 0.004678016 0.002969781 0.0006037396 0.005406194 0.0041356375 0.009468026 0.0076572374 0.0015254401 0.0013988564 0.001595812 0.0026509617 0.004425278 0.0015009815 0.0013731107 0.0021197395 0.0010384149 0.00081614265 0.04053594 0.03854622 0.0012345123 0.005857175 0.00221457 0.0043514734 0.0024106672 0.006683616 0.0018541284 0.0059245434 0.0008633433 0.020350358 0.0011083577 0.009291239 0.0007213122 0.00065136934 0.0028882525 0.00060545595 0.00076937105 0.00082815735 0.000986065 0.00073547236 0.0006191871 0.0006003068 0.0010019416 0.0012636909 0.0005054764 0.00044883555 0.00088994735 0.0005698409 0.0010778918 0.00059086666 0.0010126691 0.00085604866 0.00075692724 0.0011461183 0.0060137953 0.008173441 0.0010427058 0.00094229716 0.00091097306 0.0005449533 0.0013447902 0.0074963258 0.008179449 0.0013280554 0.00065523124 0.0006106051 0.0011328163 0.0005646917 0.002254476 0.001277851 0.00088737276 0.0007766657 0.00069427904 0.00062776904 0.001746425 0.0010967721 0.00071358844 0.0007213122 0.0009075403 0.0006723951 0.0007522072 0.00075349445 0.0050058463 0.0015503278 0.0022613415 0.0022862293 0.0017790365 0.00065523124 0.0023574594 0.002806295 0.0019009 0.0016790568 0.00081871724 0.00074491254 0.004549716 0.0006329182 0.0013628124 0.0012988768 0.002891256 0.0017133846 0.00095045 0.0009036784 0.000998938 0.000552677 0.0026179212 0.0073530073 0.0014778103 0.0007024319 0.00055010244 0.0009624647 0.0010903357 0.00050418905 0.00066166767 0.000583572 0.0015829391 0.00090196205 0.00061832886 0.00053508405 0.001295015 0.00070157374 0.0010547206 0.0006423583 0.010772911 0.0023149787 0.00075649814 0.0025076433 0.0032147954 0.00060631416 0.00056254625 0.0007457707 0.002886107 0.0012619745 0.000808848 0.0010272583 0.0017974876 0.00049174525 0.0012757056 0.0012383742 0.0030594622 0.0009916433 0.00066123856 0.0010075199 0.005092524 0.002069106 0.003514305 0.047155194 0.032937083 4.2944703e-06 5.1533643e-06 3.6502995e-06 3.8650232e-06 1.5030645e-06 5.368088e-06 4.0797468e-06 4.7239173e-06 1.5030645e-06 1.2883411e-06 1.5030645e-06 1.0736176e-06 8.58894e-07 1.5030645e-06 4.0797468e-06 0.006312656 4.1871084e-05 3.7147165e-05 3.4570483e-05 2.2975415e-05 1.352758e-05 2.3190138e-05 1.1809792e-05 2.8772949e-05 6.441705e-06 3.435576e-06 7.5153225e-06 1.6748434e-05 7.300599e-06 2.5766822e-06 2.576682e-05 0.016889935 6.205509e-05 0.000107576474 0.00012690159 0.00045628744 0.0002604596 0.00010263784 7.601212e-05 7.9447695e-05 2.9846567e-05 2.2975415e-05 3.3496868e-05 3.736189e-05 1.9754563e-05 2.6625714e-05 0.00013828193 0.010802525 0.00018251498 0.00012904883 0.00010199367 0.00016662544 0.00010929426 0.00017950885 9.254583e-05 6.9570415e-05 4.058274e-05 3.6932444e-05 3.371159e-05 3.800606e-05 3.1564356e-05 6.527595e-05 0.00023340445 0.008330413 0.00034677846 0.00030297486 0.00027248412 0.0002641099 0.00055871054 0.00018272971 0.00093597977 0.011895682 0.00014171751 0.0020607014 3.3926313e-05 0.00015460093 3.3282144e-05 4.8742237e-05 0.0021416522 0.010405931 0.00020613456 0.00046573527 0.0002750608 0.00038843483 0.0019288613 0.0005784651 0.0014137395 0.023164801 0.00024306701 0.0053219222 0.00012067461 0.0001442942 0.00020226954 0.00013033717 0.0003049074 0.009943846 0.0002759197 0.00052864925 0.00034420178 0.00040818937 0.001331071 0.0004940788 0.0007223299 0.010515654 0.00012647215 0.0030127855 0.0001507359 0.0001535273 0.0004670236 9.233111e-05 0.00089668535 0.02403078 0.0007407961 0.0016915918 0.0011534947 0.0029966813 0.0035981217 0.009563141 0.0061277794 0.014893652 0.0003278828 0.0071462127 0.00082883274 0.00031027547 0.0038517101 0.00040453908 0.0010504274 0.025593324 0.0011077586 0.0030692578 0.002874074 0.0022734925 0.0047692237 0.006697441 0.004190544 0.01182375 0.0003955207 0.006151399 0.00081165484 0.0004146311 0.0028498103 0.00032358832 0.0014126659 0.024166487 0.001699966 0.0035152384 0.0035208212 0.0029118655 0.005732259 0.008064371 0.0044722613 0.009997097 0.0007504586 0.004722414 0.0008887406 0.0007837408 0.0027533995 0.0006209804 0.0019170515 0.01791202 0.0013282796 0.0024036148 0.0043378444 0.0023284617 0.004288243 0.0063933926 0.0030145033 0.003758735 0.0008148757 0.0015550277 0.0007770844 0.0008765013 0.0019030945 0.00087113323 0.0024064062 0.022964679 0.0021201798 0.0024465597 0.007456918 0.0026533382 0.0026337984 0.0034851772 0.0027886142 0.002742234 0.0015550277 0.001425764 0.0010484948 0.0017253034 0.0012157644 0.0016104262 0.0063317665 0.028022707 0.0024673878 0.002464811 0.003958857 0.005108272 0.004403335 0.0035895328 0.0035322018 0.0069450173 0.0024031855 0.0023265292 0.002393523 0.004521218 0.0016993218 0.0034591956 0.01373393 0.048208218 0.008709615 0.005636277 0.0075155376 0.013976353 0.016030183 0.0075973473 0.011320868 0.026817892 0.0030048408 0.0028798718 0.0037613115 0.011691266 0.004035084 0.0109777395 0.026280869 0.029580524 0.0071487897 0.005945479 0.0076707825 0.010770101 0.010932003 0.006153761 0.008090996 0.0182734 0.0028730005 0.0027362215 0.0030366199 0.009217651 0.003809195 0.008566824 0.015590429 0.0022468667 0.001716285 0.0018165609 0.0019127569 0.0016338312 0.0016074202 0.0019808244 0.0018811927 0.0016668986 0.0016583096 0.0016218066 0.0016456409 0.0016112851 0.0016331869 0.0016080643 0.0019033091 11833.0 15.046143 178041.0 0.026516365 0.004032779 0.007767874 0.0013704709 0.00447088 0.0023309237 0.0017861055 0.003392477 0.0017692554 0.0014097877 0.0018141889 0.034952622 0.0028982088 0.0040889457 0.006273836 0.0016288382 0.01000893 0.05294286 0.01312619 0.00540325 0.004173196 0.0032408265 0.0040103123 0.0103964815 0.010727866 0.004903365 0.0039541456 0.0040833293 0.0035216608 0.004892132 0.006414253 0.0032632933 0.0057458677 0.010744716 0.0031397264 0.012323004 0.009997698 0.008795727 0.005324616 0.0045326636 0.0046337643 0.007863358 0.0009099028 0.002875742 0.007341006 0.005397633 0.004903365 0.007217439 0.010374015 0.00438663 0.01285659 0.014502278 0.008885594 0.015131346 0.061182536 0.0090260105 0.0024601074 0.0017524053 0.001224437 0.0028869754 0.0377385 0.0024938076 0.001207587 0.008161042 0.0014659545 0.024668476 0.031953312 0.01879904 0.015238063 0.05559955 0.0072679888 0.0094528785 0.008576676 0.029594308 0.0019096725 0.0024825742 0.021068182 0.010272915 0.025977163 0.030863678 0.011665852 0.00054481835 0.033936005 0.024758343 0.042304862 0.011766952 0.004830348 0.004785415 0.004173196 0.0093910955 0.0043416964 0.0018703557 0.0009941531 0.00085373595 0.0004549514 0.0005560517 5.8295116 0.0 30.0 0.0 25.0 2330475.0 81920.0 1.0 0.0 193.0 0.0 1.0 0.0 0.0 0.0 995571000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 5.0 0.0 6.0 20.0 5.0 0.0 4.0 0.0 61440.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.46609414 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.158958 0.0 4.621533 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7780.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57990.0 0.0 7320.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 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 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 -1.0 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 -1.0 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 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 57484.0 7320.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 812.0 4096.0 0.0 0.0 0.0 0.0