Input: 0.24887101 0.09471677 0.030881938 0.019268138 0.018200727 0.0127177015 0.01320123 0.01866601 0.017562106 0.012891042 0.011586429 0.010592002 0.014268641 0.010847451 0.008466303 0.00848455 0.012535239 0.0052731936 0.0072894143 0.0034120663 0.005309686 0.0037405004 0.0030471394 0.004251398 0.003448559 0.0029376613 0.0036310225 0.001961482 0.0027734442 0.0021348223 0.0021621918 0.0019341124 0.003922964 0.0026639663 0.0018702502 0.0015509393 0.0019979747 0.0034211895 0.0017881417 0.0013684758 0.0019888515 0.0012863672 0.0013684758 0.0012772441 0.002007098 0.001377599 0.0030653859 0.0009761794 0.0026274736 0.002007098 0.0026639663 0.0034850517 0.0015326929 0.003612776 0.0010400416 0.0013137368 0.0017698953 0.0013958453 0.0026457198 0.002344655 0.0014688306 0.0014140917 0.0019979747 0.0018884966 0.009323882 0.001961482 0.0028099369 0.005720229 0.0029467845 0.0039138407 0.0015144466 0.0017790186 0.0018611271 0.0034668054 0.0009853026 0.0009853026 0.0029467845 0.0024815027 0.0025636114 0.0019797282 0.003877348 0.0021439453 0.002700459 0.0020983296 0.0024176405 0.0042878906 0.0017334027 0.0013319831 0.0008758245 0.0021348223 0.00072985375 0.0013228599 0.0038682248 0.0012407514 0.00073897693 0.004981252 0.0011039037 0.0041784127 0.002226054 0.0028920455 0.0037952396 0.0077090804 0.0023993943 0.0021530685 0.005902692 0.004661941 0.0035854066 0.0038864713 0.0037496237 0.002654843 0.0055833813 0.0028008139 0.0047440496 0.002171315 0.004333507 0.0036310225 0.008210855 0.0042605214 0.0011403965 0.0017607722 0.00083020865 0.0005017745 0.0008393318 0.0004926513 0.00063862203 0.0006021293 0.0006842379 0.0006477452 0.00092144037 0.0009579331 0.0011403965 0.0043152603 0.0018793734 0.0027278285 0.00067511474 0.00069336104 0.000903194 0.0010491648 0.00092144037 0.0041601663 0.000903194 0.0031748638 0.0005930062 0.00031931102 0.0006021293 0.00039229638 0.00039229638 0.00053826714 0.0006568684 0.0009488099 0.00036492688 0.00030106466 0.0006203757 0.00041054274 0.0003284342 0.00036492688 0.0006112525 0.00041054274 0.00040141956 0.0003558037 0.0004926513 0.0009488099 0.00036492688 0.0008758245 0.00073897693 0.00052914396 0.00031018784 0.0003558037 0.00046528177 0.0004287891 0.00028281834 0.0002919415 0.0004561586 0.00020070978 0.00038317323 0.00033755737 0.0006203757 0.0004926513 0.00034668052 0.0004561586 0.0004561586 0.00034668052 0.0002919415 0.0004561586 0.0006477452 0.00053826714 0.0003284342 0.00041054274 0.0006203757 0.0002554488 0.0010126721 0.000583883 0.0021348223 0.00057475985 0.0005473903 0.0010765343 0.0026913357 0.00024632565 0.0007207306 0.0008119623 0.0005200208 0.0005200208 0.00044703542 0.0005930062 0.00056563667 0.00036492688 0.00040141956 0.0004561586 0.00053826714 0.00038317323 0.0007024842 0.00062949886 0.0004287891 0.00034668052 0.00028281834 0.0004926513 0.0008575782 0.00041054274 0.0004926513 0.0008575782 0.00044703542 0.00033755737 0.0002919415 0.00028281834 0.00037405005 0.00039229638 0.00033755737 0.0003284342 0.0006021293 0.00066599157 0.00039229638 0.00020983296 0.0053826715 0.0006477452 0.00031931102 0.0009488099 0.0012316282 0.00034668052 0.00027369516 0.0002280793 0.0015965551 0.00057475985 0.0005565135 0.00044703542 0.0006112525 0.00030106466 0.00041054274 0.0005473903 0.001541816 0.00057475985 0.0005108976 0.00041054274 0.0014597075 0.00043791224 0.02660317 0.021220498 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007817106 0.00038693985 0.00034548203 0.00019807636 0.000105947816 0.00011516067 2.7638562e-05 0.0001704378 5.988355e-05 4.1457843e-05 4.1457843e-05 4.1457843e-05 1.8425708e-05 3.6851416e-05 4.606427e-06 2.3032135e-05 0.072703235 0.006495062 0.0024782578 0.0015800045 0.001229916 0.0009949883 0.0009443175 0.0015615787 0.0004974941 0.00046985556 0.00029941773 0.00040997198 0.00030402417 0.0002211085 0.00016583137 0.0039845593 0.13379827 0.011967497 0.005283572 0.0035193102 0.0031001254 0.0032982016 0.0024368 0.0012944059 0.0009857754 0.0011700324 0.0010410525 0.0009258918 0.00074163475 0.00096274324 0.0007738797 0.007946086 0.09791421 0.010488834 0.004366893 0.0027961012 0.0032659566 0.0025934184 0.0022940007 0.0019669442 0.0014510244 0.0010088074 0.001004201 0.0009581368 0.0010226268 0.0009995947 0.0010364461 0.008342239 0.051393904 0.008250111 0.0026072375 0.0020222215 0.0020682856 0.0013588959 0.0033857238 0.002547354 0.0009397111 0.0005665905 0.0004974941 0.0006955705 0.00064029335 0.0005297391 0.0005159198 0.006886608 0.10970666 0.0166292 0.0079553 0.005495467 0.01401275 0.011359449 0.021617962 0.013155955 0.003183041 0.0017734744 0.0017181973 0.00192088 0.0015707916 0.0016214623 0.0013542895 0.013340212 0.021521226 0.004574182 0.0034640331 0.0043576797 0.0105072595 0.0061910376 0.012216244 0.006430572 0.0013128316 0.00043761055 0.00031784346 0.00034548203 0.0003086306 0.0003593013 0.00026256632 0.0028651976 0.021134287 0.0009673496 0.0020959242 0.00865087 0.0031231574 0.0018932414 0.004984154 0.0030172097 0.0027961012 0.0006679319 0.0007139962 0.00070017687 0.0012437353 0.0006817512 0.001165426 0.0027684625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014754386 0.0030356352 0.0009995947 0.00230782 0.0042425194 0.0034502137 0.0053342422 0.002699366 0.0057350015 0.00065871904 0.0006541126 0.0007738797 0.0027961012 0.00093049824 0.0031738281 0.005057857 0.018508622 0.0033857238 0.0023769164 0.0024736512 0.0058040977 0.005283572 0.0063384436 0.0028651976 0.008489645 0.00090285967 0.0011930646 0.0011193617 0.0040951134 0.0014740566 0.004297796 0.006863576 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 856.0 13.349299 11427.0 0.012164173 0.0002625361 0.00017502406 0.00035004813 0.005688282 0.0048131617 0.00035004813 0.00035004813 0.0005250722 0.00061258423 0.00061258423 0.00061258423 0.00035004813 0.0019252647 0.015577142 0.00043756017 0.009801348 0.004988186 0.0092762755 0.009626323 0.003062921 0.009976372 0.002712873 0.0014877046 0.002712873 0.0019252647 0.012426709 0.0022753128 0.0039380416 0.0017502407 0.0019252647 0.0037630175 0.0071759867 0.0098888595 0.012426709 0.040955633 0.018640064 0.020565327 0.0042880895 0.0039380416 0.007263499 0.019077623 0.00035004813 0.0019252647 0.020740353 0.0063883783 0.015664654 0.0074385228 0.012426709 0.00087512034 0.010063884 0.009363787 0.0116391005 0.013389341 0.004900674 0.0017502407 0.0014001925 0.002450337 0.00078760827 0.0014001925 0.03141682 0.0014877046 0.00035004813 0.040780608 0.00035004813 0.03395467 0.009713836 0.020565327 0.021002889 0.06309617 0.014176949 0.013914413 0.019777719 0.03395467 0.0014001925 0.0066509144 0.026603658 0.013651877 0.044281088 0.02021528 0.023803273 0.00560077 0.03447974 0.028266387 0.046643913 0.01934016 0.007526035 0.012601732 0.0033254572 0.002625361 0.0033254572 0.0002625361 0.0 0.0002625361 0.00061258423 0.00035004813 5.717739 105.0 0.0 0.0 1.0 109611.0 135168.0 1.0 2.0 82.0 1.0 1.0 0.0 0.0 0.0 22426342.0 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 16896.0 1024.0 4096.0 7.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 -82475.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16896.0 0.0 0.0 512.0 0.0 0.0 0.0 -2048.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.062778 0.0 0.0 0.0 0.0 0.0 -5.4883685 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.781822 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1518683 0.0 0.0 1.1633977 0.0 0.0 0.0 -4.562887 1.984503 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 -86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 0.0 4096.0 0.0 0.0 0.0 -4096.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 108.0 36864.0 2030.0 32768.0 1024.0 45056.0 0.0 0.0 0.0 0.0 1684.0 40960.0 1.0 49152.0 0.0 0.0 0.0 0.0 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: 0.0063766222 0.004032872 0.0039076293 0.0039034914 0.0039338367 0.0038725946 0.0038524563 0.0038350767 0.003973285 0.0038742498 0.003879215 0.003863491 0.003949837 0.0038623875 0.0038750772 0.003924457 0.0039382502 0.0038695598 0.0038563183 0.0038400423 0.0039090086 0.003985423 0.0038096972 0.0038932844 0.0038709394 0.00385687 0.0038706635 0.00384087 0.0038085938 0.00385687 0.0038869395 0.003889974 0.0038612839 0.0038190766 0.0038858359 0.0038563183 0.0038963188 0.0039330088 0.00384887 0.003892181 0.0037879038 0.0038527322 0.0038541115 0.0038778358 0.0039390777 0.0038767324 0.0038425252 0.0038295595 0.003887491 0.0040232167 0.003969699 0.0038935603 0.0039239055 0.0039134226 0.0038841807 0.0038052835 0.0039310777 0.0039239055 0.0038894222 0.0038723187 0.0038687324 0.0038557667 0.0039194915 0.0038281803 0.004063769 0.0038535597 0.0039445953 0.0038695598 0.0038767324 0.0039948025 0.003889698 0.003801973 0.0037854211 0.003879491 0.003873698 0.003879215 0.0038452838 0.0038292836 0.0038954914 0.0039032155 0.0039741127 0.0038976981 0.003800042 0.0039338367 0.003904043 0.00383287 0.003908457 0.0039542504 0.0038259733 0.0038665254 0.0038965947 0.003840594 0.0038731461 0.003883905 0.003925285 0.0038781117 0.003889698 0.0039012844 0.0038532838 0.0038582494 0.003910112 0.0039752163 0.003879491 0.0038044557 0.0039236294 0.0039136983 0.003975492 0.003851077 0.0038808703 0.0039136983 0.0038485941 0.0039139744 0.0039716302 0.003928871 0.0039316295 0.00392225 0.00400032 0.0039749406 0.0038679047 0.003914802 0.0038908015 0.003853008 0.0038579735 0.0038640427 0.0038461115 0.003961699 0.003889974 0.0039219745 0.003873698 0.0038565942 0.003892181 0.00393025 0.0039090086 0.0039622504 0.0038069387 0.0038560426 0.0038670772 0.003920319 0.0038309388 0.003997837 0.0039037673 0.0038858359 0.0038290077 0.0038276284 0.0038612839 0.0038538356 0.0038532838 0.0038701117 0.0038505252 0.0037931453 0.003789835 0.003900181 0.0038201802 0.0038645943 0.003816594 0.0038199043 0.0038863877 0.003875905 0.0038505252 0.0038720428 0.0038353526 0.0039134226 0.0038085938 0.003828456 0.0038441804 0.003851077 0.0038665254 0.0038728702 0.0038416975 0.003813835 0.0038709394 0.003855215 0.0038502493 0.0038952155 0.0038883188 0.0038201802 0.0038952155 0.0037832141 0.0038237663 0.0037854211 0.0038582494 0.003793973 0.003859077 0.0038419734 0.0038461115 0.0038433527 0.003830387 0.0037776968 0.0038436286 0.0038298354 0.0038640427 0.0038378355 0.00392694 0.0038447322 0.003889698 0.0039015603 0.003881974 0.003873698 0.003816318 0.0038916292 0.0038687324 0.0038938362 0.003851353 0.0038320422 0.0038910774 0.0037741107 0.003912871 0.0038679047 0.0038516286 0.0038825255 0.0038317663 0.003908733 0.003916457 0.0038342492 0.0039012844 0.003879767 0.003881974 0.0038725946 0.0038610082 0.0039120433 0.003871491 0.0038588012 0.0038701117 0.0038993533 0.0038176973 0.0038623875 0.0038869395 0.0038199043 0.0038414218 0.0038188007 0.003945423 0.0038127317 0.003965837 0.0038866636 0.0038908015 0.0039316295 0.003881698 0.003904043 0.0038022487 0.003891905 0.00384887 0.003912595 0.0037981109 0.003922802 0.003969699 0.0038861118 0.0038866636 0.0039365953 0.0039586644 0.0039181123 0.003838939 0.00391425 0.003875629 0.0039724577 0.004521981 0.007813604 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.1883165e-05 6.0707475e-06 5.38089e-06 2.2075444e-06 2.2075444e-06 4.415089e-06 2.897402e-06 3.58726e-06 4.415089e-06 1.2969324e-05 2.607662e-05 3.8907972e-05 2.0281816e-05 1.3797153e-05 3.1319538e-05 0.00060127996 1.172758e-05 1.1589608e-05 7.17452e-06 7.450463e-06 3.3113167e-06 3.7252314e-06 4.415089e-06 1.8212242e-05 3.58726e-05 1.4073096e-05 2.7456335e-05 2.428299e-05 6.3466905e-06 1.9316014e-06 1.352121e-05 0.00037404083 0.00024214004 4.9807724e-05 8.209306e-05 0.00023372377 5.9189788e-05 4.07016e-05 2.8284165e-05 4.2081316e-05 8.0023485e-05 8.305886e-05 5.2567153e-05 2.511082e-05 2.2627331e-05 3.325114e-05 7.381477e-05 0.0016771819 0.0003645208 6.8847796e-05 0.00020226627 0.0003223015 0.00013852342 0.000120311175 0.00022199619 0.00014073096 7.326288e-05 3.1595482e-05 2.787025e-05 2.166153e-05 2.2765304e-05 8.912961e-05 0.0001134126 0.0017141583 0.0006818553 3.8494058e-05 9.74079e-05 0.00013121092 0.0001172758 7.340086e-05 0.00029884634 0.00022765303 4.4840748e-05 2.069573e-05 2.0557758e-05 1.8212242e-05 3.614854e-05 4.0287687e-05 5.3808897e-05 0.00064239546 0.00014086893 8.278292e-06 6.760605e-06 8.278292e-06 1.6832526e-05 1.2417438e-05 8.278292e-06 1.6694556e-05 1.7522385e-05 1.79363e-06 3.863203e-06 3.3113167e-06 1.0485836e-05 6.0707475e-06 5.794804e-06 1.531484e-05 0.00029912227 1.710847e-05 3.614854e-05 4.0977546e-05 4.787612e-05 2.883605e-05 0.000112446796 8.7060034e-05 3.352708e-05 1.9178044e-05 1.47629535e-05 1.89021e-05 2.0971673e-05 1.7660355e-05 1.9453986e-05 3.3665052e-05 0.00093599886 0.00016556584 7.7540004e-05 0.00018184648 0.00029870836 0.00023220609 0.00014238662 0.00024558933 0.00033361517 4.4564804e-05 5.0773524e-05 4.939381e-05 0.00015080288 8.5128435e-05 0.00021206224 0.0004671716 0.00066226337 0.00014983708 0.00010692794 0.00014707765 0.00026021432 0.00022351388 9.658007e-05 0.0002127521 0.0002611801 3.8080143e-05 4.139146e-05 4.1943345e-05 0.00012445032 4.6358433e-05 0.00013424631 0.00027884045 0.061405197 0.061475836 0.06123563 0.061322413 0.061248872 0.061462592 0.061380774 0.061607875 0.061270673 0.061321862 0.06139871 0.061078757 0.061510745 0.061704043 0.06131179 0.061180025 16573.0 5.777168 95745.0 0.011008408 0.009128414 0.010883075 0.009828189 0.010037078 0.009922189 0.009869967 0.009483524 0.009922189 0.009922189 0.010110188 0.010339965 0.010674187 0.010047522 0.0102041885 0.010465299 0.010308633 0.009943078 0.010695076 0.009953522 0.0099326335 0.009974411 0.009943078 0.010099744 0.009765523 0.010381743 0.00964019 0.010621965 0.009922189 0.010256411 0.010016189 0.010026633 0.009849078 0.010663742 0.009744634 0.010329521 0.010538409 0.010392187 0.010517521 0.009963967 0.009922189 0.009953522 0.009775967 0.009828189 0.010569743 0.010809964 0.010392187 0.010277299 0.010945741 0.009786412 0.010120633 0.010695076 0.0103190765 0.010183299 0.0103712985 0.0107055195 0.009723745 0.010131077 0.010392187 0.010360855 0.009963967 0.0099013 0.010078855 0.009807301 0.009974411 0.011979738 0.009034415 0.011175518 0.010392187 0.014434174 0.010674187 0.010465299 0.010444409 0.01212596 0.009974411 0.009859523 0.012418403 0.011165074 0.011739517 0.012575069 0.010538409 0.009786412 0.012564625 0.012011071 0.013379289 0.010862186 0.010392187 0.010496631 0.010903964 0.010862186 0.009922189 0.009504412 0.009984856 0.009681968 0.009890856 0.010444409 6.5805078 0.0 1.0 0.0 45.0 3624960.0 311296.0 0.0 0.0 155.0 0.0 1.0 0.0 0.0 0.0 1245360800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 23552.0 1024.0 4096.0 5.0 1.0 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 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -23552.0 0.0 63488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.263696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7227535 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.486413 0.0 6.746449 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4496.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -110456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -23488.0 0.0 63224.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 29604.0 63224.0 245760.0 0.0 0.0 7344.0 14712632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 652.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.27524903 0.018583542 0.013264354 0.0073556006 0.009865572 0.0061925305 0.025347792 0.0046516857 0.00984356 0.004808745 0.0064287144 0.0029282002 0.0030025654 0.0047653154 0.0027009405 0.005364401 0.008825055 0.0055720285 0.007242566 0.005634495 0.0034790968 0.0049610445 0.0030174383 0.0021506387 0.005147255 0.00304302 0.0014159115 0.0021952577 0.0012933578 0.0018740005 0.0013314327 0.0014771883 0.009411052 0.0028413418 0.001630678 0.0018240272 0.0047920872 0.0010672879 0.0012511185 0.0009780498 0.006475713 0.0012933578 0.0022208393 0.001675297 0.0019073162 0.0015277566 0.0013528499 0.0006454891 0.0048890593 0.002072704 0.0013605839 0.002772331 0.0010893 0.0011065527 0.00079540914 0.00071925926 0.0026705994 0.0026598908 0.0011541464 0.0016633986 0.0012790797 0.000743651 0.0014117471 0.0011297546 0.0045844596 0.0049693733 0.0020084525 0.0013469007 0.01866207 0.002298774 0.001352255 0.0010797812 0.027691184 0.004279265 0.0009768599 0.00087810314 0.004777214 0.0027312813 0.0016235389 0.0011773483 0.0038759091 0.0010964391 0.0013106106 0.0020661599 0.0017704843 0.0018960126 0.0024915284 0.0018293815 0.0025658933 0.0013605839 0.00084181293 0.0016663732 0.001119641 0.0014635052 0.0036664968 0.0027348509 0.0036813698 0.0036795852 0.0013730772 0.0022737873 0.002073894 0.0059622964 0.0013344074 0.001404608 0.0026182465 0.0037319383 0.000886432 0.00094889867 0.0027074846 0.0016122353 0.0030358809 0.005009233 0.004696305 0.0010809711 0.0037610894 0.0034951598 0.0055779773 0.0029163018 0.0008840523 0.00070795574 0.0021161332 0.001713372 0.0008150415 0.0014629102 0.0011773483 0.0015604773 0.0011553362 0.0010643133 0.0065530525 0.001668158 0.001179728 0.0047040386 0.0019025567 0.0026033735 0.0011850822 0.0005140116 0.0018811396 0.0038907821 0.015736844 0.020873392 0.0012261318 0.005602964 0.00072461355 0.000826345 0.0050966865 0.0019162399 0.0028978593 0.0011571209 0.0014926563 0.0011606904 0.0012529033 0.0009786447 0.001742523 0.0013236988 0.00078529544 0.0007085507 0.00080076343 0.000548517 0.00051579636 0.0005193659 0.0033630873 0.0021072095 0.0026301448 0.0019519351 0.0018210526 0.0016407915 0.0017062329 0.0017585859 0.0026396636 0.0017621554 0.0015295413 0.0017544215 0.0016794614 0.0016485256 0.0015271617 0.00146529 0.0023338743 0.0007692326 0.000999467 0.0007008167 0.00088464725 0.0005919462 0.00095008855 0.00055565604 0.0036427001 0.0027681666 0.0017776233 0.0005520865 0.0006431094 0.00056993414 0.0004634433 0.0005348338 0.0048801354 0.0010345672 0.0015676164 0.0028520504 0.0021964477 0.0007722072 0.0012653966 0.0011101222 0.0025938547 0.0013843807 0.00065381796 0.0010190994 0.013821795 0.0007525748 0.0019144551 0.0012326759 0.0031679533 0.0008691793 0.0012398149 0.0008894066 0.0007775615 0.000683564 0.0011440327 0.0012671814 0.0022357125 0.00087393867 0.0006401348 0.0007501951 0.0007424612 0.00059313606 0.00058956654 0.00061574305 0.0037491908 0.0008251552 0.0013403565 0.00077577675 0.00061455317 0.0005092522 0.000556251 0.00049140456 0.011020908 0.0015658316 0.0007555494 0.00095663266 0.0018793548 0.0005627951 0.00050568266 0.001336787 0.0033452397 0.0019019619 0.0013915198 0.00165269 0.0017413332 0.0017532316 0.0016842207 0.0016449561 0.0033024054 0.0019888203 0.0010762117 0.00072996784 0.0007555494 0.00071568973 0.0013843807 0.031528424 0.006019555 6.5501144e-06 0.0 0.0 8.931974e-07 0.0 0.0 0.0 2.0841273e-06 9.229707e-06 1.1611566e-05 1.6077553e-05 1.3695693e-05 1.2504764e-05 5.3591843e-06 0.0 0.0034557807 4.465987e-06 1.6077553e-05 1.7863948e-05 2.5009527e-05 1.4291159e-05 1.5482088e-05 1.6077553e-05 7.026486e-05 9.229707e-06 0.0 0.0 0.0 0.0 0.0 1.3993426e-05 0.0033539562 2.8284585e-05 9.825171e-06 7.1455793e-06 4.1682546e-05 7.1455793e-06 6.8478466e-06 8.634242e-06 0.00010420637 6.8478466e-06 5.3591843e-06 5.3591843e-06 8.038776e-06 1.577982e-05 1.1611566e-05 3.7812024e-05 0.0043174187 6.6692075e-05 1.3695693e-05 9.229707e-06 0.0001036109 1.7268483e-05 8.336509e-06 8.634242e-06 0.00016762338 5.656917e-06 1.1313834e-05 8.336509e-06 1.8161682e-05 2.9773248e-05 3.0368712e-05 6.192835e-05 0.03328381 0.0014761576 0.00027957078 0.00023788825 0.0007726158 0.00015750047 0.0001238567 0.000119688455 0.00097150105 0.00024354516 0.00025247713 0.0004641649 0.00019828982 0.00017983041 0.00017476895 0.00069848035 0.04051067 0.0020885933 0.00052400917 0.00035787444 0.0013013886 0.00034358326 0.00025188166 0.00028969368 0.0015616068 0.00036710413 0.00040045017 0.00042962795 0.00030309166 0.0002512862 0.00030368712 0.0013252072 0.03641179 0.0021180687 0.00053770485 0.00035459938 0.002174638 0.00054872094 0.0009524462 0.00069103704 0.0024875547 0.00033167397 0.00051031343 0.0003355445 0.0002658751 0.00026915016 0.00055080507 0.00146008 0.029458543 0.0012171303 0.0014294136 0.00088783825 0.00407566 0.0017756765 0.011052425 0.006435785 0.0019346656 0.000301603 0.00035787444 0.00079256383 0.00027063882 0.00034924017 0.0003822885 0.0008640196 0.027249368 0.0031955626 0.0044674757 0.0018867307 0.0019980825 0.0012317193 0.007563298 0.004808975 0.0014419183 0.00058623526 0.00048202887 0.00055795064 0.00028671636 0.00047964702 0.00029386196 0.0007875024 0.081043966 0.009713224 0.007642197 0.003142864 0.008124524 0.0022987924 0.0054702386 0.0043596965 0.008474359 0.002678699 0.0018200385 0.0018676758 0.0019218631 0.0018906011 0.0027930283 0.005538717 0.03904255 0.0064712153 0.0026215343 0.0022633623 0.0052141887 0.0012763791 0.0023345202 0.0019927234 0.006113936 0.0022326957 0.0011805092 0.0011471632 0.0016985637 0.0010885099 0.0017831197 0.0058561 0.023844501 0.008614293 0.0029252216 0.0033950433 0.0036376952 0.0021219393 0.003401891 0.0027948148 0.0046348013 0.0035510552 0.016726907 0.002352682 0.002078768 0.0019400248 0.0024577815 0.0051567266 0.01722561 0.0062050424 0.0014505526 0.0017366735 0.0028350085 0.0020784703 0.0018182521 0.0016667064 0.0028174424 0.0019007241 0.0015106945 0.0017310166 0.0015035489 0.0011739591 0.0022452006 0.0033206102 0.033823896 0.010375977 0.0096358135 0.007387338 0.038928222 0.012709604 0.004154857 0.006310142 0.03212057 0.003828244 0.0029261147 0.004826541 0.023426484 0.0060668946 0.012376144 0.0252495 0.020086521 0.0066974917 0.008885528 0.005497332 0.01094941 0.0068502286 0.0048759645 0.004376965 0.007988757 0.0063878503 0.0042373287 0.0038612925 0.006799912 0.0030728967 0.0038029368 0.005995439 0.0011852729 0.00041503907 0.00047369237 0.0003447742 0.00030845084 0.00033673542 0.00032333747 0.00031857373 0.0002310404 0.0004611876 0.00031351228 0.00034269007 0.00027718893 0.0002578363 0.00024354516 0.00026468417 6229.0 14.114786 87921.0 0.0278773 0.002888957 0.0024681247 0.0022861431 0.0047201463 0.00073930004 0.00090990774 0.000818917 0.006471719 0.0024226294 0.000966777 0.0011487586 0.0023316387 0.00070517854 0.0106118 0.0005573185 0.0070290375 0.0038102388 0.003264294 0.0025704894 0.0025591156 0.0022747694 0.0015923386 0.0017515725 0.0035827619 0.0035372665 0.0018766847 0.0015923386 0.005812036 0.00073930004 0.0048793806 0.00028434617 0.0008871601 0.036555544 0.0044244267 0.009474414 0.006983542 0.006551336 0.0048907544 0.0046973987 0.014797375 0.008519012 0.001489974 0.00086441234 0.0029458264 0.0064262236 0.0040604635 0.0049703713 0.0056414283 0.00053457083 0.0049248757 0.016799172 0.01055493 0.012124521 0.017322369 0.013443887 0.0021155355 0.0013648616 0.00052319694 0.0124088675 0.004322062 0.013637243 0.019415157 0.029685741 0.0023430125 0.0470991 0.009804256 0.0207004 0.019722251 0.082005434 0.010031733 0.014797375 0.01064592 0.040911727 0.0012397494 0.004003594 0.026307708 0.013819224 0.03855734 0.040752493 0.021269094 0.00086441234 0.04623469 0.039933577 0.06033826 0.021269094 0.0055390634 0.0022179002 0.0053343344 0.010623173 0.0010577678 0.00059144007 0.00090990774 0.00046632774 0.00046632774 0.001706077 5.597738 1.0 0.0 0.0 1.0 1680896.0 1691648.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1497015200.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 5.0 2.0 5.0 2.0 0.0 1024.0 0.0 4.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -51712.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -424448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1158144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5641003 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.622037 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5192573 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6582537 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -51536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -424224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1158012.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1224.0 479232.0 38988.0 483900.0 0.0 0.0 51536.0 1638400.0 56.0 1636620.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 480464.0


Input: 0.35200197 0.02873674 0.0058616702 0.0046925265 0.0035233828 0.0035838673 0.0029271794 0.0026879006 0.0027503788 0.0029570893 0.00265932 0.0030667589 0.002323 0.0026520086 0.0022465638 0.0023788319 0.0025695902 0.0021754447 0.002172786 0.0021820914 0.0020923617 0.0021249303 0.0021714566 0.0024087417 0.0023057188 0.0021003378 0.0022299471 0.002073751 0.0022179831 0.0021781034 0.002479196 0.0023794963 0.0031584825 0.0021661394 0.0022312764 0.0021634807 0.0025117646 0.0025363571 0.0021049902 0.0021827559 0.0023615505 0.006759631 0.0023622152 0.0023602212 0.0022392524 0.0024559328 0.0025064473 0.0022824556 0.002420041 0.002178768 0.0025104352 0.002505118 0.0020551404 0.0023163534 0.0027537022 0.0021249303 0.002170792 0.0020923617 0.0020797332 0.004802861 0.0066207163 0.0021043257 0.0021322416 0.0021814266 0.0030827108 0.0020863798 0.0020903677 0.0021874085 0.003331295 0.0024891659 0.003367187 0.0021614868 0.002190732 0.0022771382 0.0023409459 0.0022206418 0.0022000372 0.0020584639 0.0021315769 0.0020611226 0.00279757 0.002059793 0.0023954483 0.0023602212 0.002105655 0.0024399809 0.0022153244 0.0020504878 0.0020484938 0.0022505517 0.0021654747 0.0022817908 0.0020252306 0.0021614868 0.0021309122 0.0021581633 0.002030548 0.0023868077 0.002091697 0.00313389 0.002309042 0.0026287453 0.0023436046 0.0021129663 0.0025689257 0.0023057188 0.002257863 0.002077739 0.0023004015 0.0026081407 0.0023243295 0.0023356287 0.0023362932 0.002324994 0.0024426396 0.0023741792 0.002756361 0.0023761732 0.0020730863 0.0021714566 0.003179087 0.0021442054 0.0020890383 0.0020159252 0.0021734508 0.0021781034 0.002095685 0.002265839 0.0023223353 0.0021315769 0.0022711563 0.0024579267 0.0024246937 0.006873953 0.0023675326 0.0020664397 0.0021754447 0.0024486214 0.00217478 0.0033970966 0.002233935 0.002404089 0.0020152607 0.0020378593 0.002558291 0.002324994 0.0019507883 0.002028554 0.0019966501 0.0021388882 0.002071757 0.0021362295 0.0019767103 0.0025184113 0.002384149 0.002111637 0.0020823916 0.0020963496 0.002190732 0.0022891022 0.003244224 0.0027317682 0.0026194402 0.0025629436 0.002105655 0.0024320048 0.0022731503 0.0024964772 0.0022352645 0.0025828835 0.0019860156 0.0019288544 0.002022572 0.0020278892 0.002143541 0.0021495228 0.0021382235 0.002077739 0.0020584639 0.0020498233 0.0021541754 0.00218475 0.001935501 0.0020252306 0.002186744 0.0021142955 0.0021089783 0.002223965 0.00200662 0.0033386063 0.0020843856 0.0019773748 0.0024978067 0.0020943556 0.0020843856 0.002566267 0.0023808258 0.0022299471 0.0025895303 0.0021083136 0.002542339 0.0021415467 0.0020644458 0.002150852 0.002317018 0.0068294206 0.003938798 0.002188738 0.0023442693 0.0025589557 0.0025675963 0.0028480846 0.0023868077 0.002071757 0.0020232366 0.0021641455 0.002239917 0.0022558689 0.0025995001 0.0021209423 0.0031525004 0.0021461993 0.0022053546 0.0020684337 0.0020624518 0.0021010023 0.0026367214 0.0021123015 0.0020531465 0.0021236008 0.0021402175 0.0021973785 0.0027357563 0.0022312764 0.0025921888 0.0023436046 0.0022611863 0.0023529099 0.0022678329 0.0021342356 0.0022857788 0.0020930264 0.0021721213 0.0024034244 0.002321006 0.002054476 0.002180762 0.0024286816 0.002400101 0.0024898306 0.0023203413 0.0027311037 0.0023861432 0.0024020951 0.0022831203 0.0042797704 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001629489 2.6609332e-05 0.00010909826 2.99355e-05 9.413051e-05 2.7274566e-05 0.00044670416 0.00023615782 3.4259516e-05 9.313267e-06 1.7628683e-05 3.3261665e-06 1.39699e-05 5.654483e-06 1.9624382e-05 2.1620082e-05 0.00055746554 3.9914e-06 0.00010543948 1.9624382e-05 9.2800045e-05 4.59011e-05 0.00034991273 0.00017063234 9.9785e-07 9.9785e-07 9.9785e-07 9.9785e-07 1.3304666e-06 7.3175665e-06 1.9957e-06 1.9957e-06 0.050671488 0.0019271809 0.0026815555 0.003145223 0.002151032 0.0017565485 0.0020984784 0.002123092 0.0025302148 0.0018150891 0.0026276715 0.0018273959 0.0025451826 0.0020136612 0.002263789 0.0022910635 0.34536186 0.015073189 0.019985272 0.020510474 0.016129913 0.013932979 0.015120088 0.014500423 0.018101996 0.014692675 0.016789824 0.014424254 0.020311901 0.016806787 0.014687021 0.015533198 0.0030630669 0.00014901227 0.00026110408 0.0002354926 0.0002770697 0.00014335779 0.000510234 0.00033195142 0.00023815353 0.00021919438 0.00010643733 0.00015932338 0.00029403312 0.00018659794 0.00021653344 0.00042042744 8.4152016e-05 1.097635e-05 0.00012506386 8.4152016e-05 1.8293917e-05 1.696345e-05 0.00016464524 0.00010477425 9.978499e-06 9.978499e-06 7.3175665e-06 8.315416e-06 6.3197162e-06 7.3175665e-06 1.2306817e-05 1.0643733e-05 0.0017781686 0.00019325028 0.00024147969 0.00024979512 0.00054416084 0.00049792713 0.00021387251 0.00034059945 0.00095028576 9.845453e-05 0.00010909826 0.0001536689 0.00056212215 0.00024214493 0.00041244464 0.00090571516 0.0039631273 0.0006392892 0.0008684621 0.0008684621 0.0014199405 0.0014495434 0.0011927633 0.0012333426 0.0021882849 0.00030600734 0.0003532389 0.00051356014 0.001357076 0.00069417094 0.0011508536 0.0022378447 0.017934024 0.017833242 0.018001214 0.017898101 0.017537214 0.017770045 0.017697867 0.017954648 0.017756075 0.017711503 0.017534219 0.017580787 0.017641323 0.017803973 0.017595422 0.01781029 3621.0 7.286661 26385.0 0.033465985 0.006253553 0.010195186 0.007125261 0.008603374 0.012355505 0.0074663633 0.00704946 0.006859958 0.006973659 0.006670457 0.007655865 0.0073526623 0.008754974 0.010915292 0.010081486 0.011142694 0.010157286 0.008792874 0.0083380705 0.0073526623 0.0073526623 0.00830017 0.008603374 0.006708357 0.007883267 0.00826227 0.006708357 0.009854084 0.007959068 0.007731666 0.007163161 0.007655865 0.0100056855 0.005760849 0.0095129805 0.0083380705 0.011104794 0.01288611 0.009058177 0.0072389618 0.009702482 0.008527572 0.007276862 0.00936138 0.008754974 0.00818647 0.008413872 0.010119386 0.006897859 0.0083380705 0.01296191 0.010422588 0.007693765 0.0081106685 0.0081106685 0.006822058 0.007731666 0.007769566 0.00822437 0.007390563 0.007769566 0.008944476 0.008527572 0.007769566 0.021641083 0.008868676 0.015463332 0.014894826 0.0350957 0.010308888 0.012317604 0.014364222 0.022512792 0.00704946 0.007807466 0.015880235 0.014250522 0.018267956 0.020883078 0.0137578165 0.006253553 0.02114838 0.022702293 0.028159939 0.012431306 0.008792874 0.010725792 0.008413872 0.010270988 0.007845366 0.005343945 0.0075800642 0.00701156 0.007125261 0.0073526623 6.4366627 0.0 14.0 0.0 15.0 1504520.0 81920.0 0.0 0.0 8.0 0.0 1.0 1.0 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 1.0 -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 -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 6.0 0.0 2.0 25.0 1.0 0.0 4.0 0.0 40448.0 1024.0 4096.0 8.0 3.0 0.0 1.0 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 0.0 512.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -40448.0 0.0 0.0 0.0 0.0 0.0 0.0 -2560.0 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 0.0 0.0 0.0 2.163891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1255684 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.649969 0.0 0.0 0.0 0.0 0.0 0.0 -4.6394687 4.5963144 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 -2244.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 3728.0 0.0 0.0 0.0 0.0 0.0 -592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -40240.0 0.0 0.0 0.0 0.0 0.0 0.0 -2384.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2384.0 53248.0 11264.0 69632.0 0.0 0.0 5848.0 1498672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.122409865 0.0028074475 0.0012631476 0.0012128933 0.0019368263 0.0007945606 0.0008488895 0.0007673961 0.002147351 0.00064651424 0.000620708 0.0006315738 0.0015103442 0.00058946887 0.00045907946 0.0018960796 0.0015904794 0.0005201995 0.00039524297 0.0005229159 0.00081085926 0.0006750369 0.00047673634 0.00033955582 0.00070899253 0.0004848857 0.00033819757 0.0004210492 0.0006845445 0.0030804502 0.0003517798 0.0004726617 0.0011775795 0.00048896036 0.00038166074 0.00058811065 0.0008366655 0.0004088252 0.00037894427 0.00047673634 0.00057588663 0.00048624392 0.0004088252 0.00058131956 0.0005432893 0.0011721466 0.0004726617 0.0003273318 0.00097384606 0.00062206626 0.0008543224 0.0016393755 0.00071985833 0.0008162922 0.0006261409 0.000505259 0.00079184416 0.00076196325 0.00060033466 0.0011083102 0.0004631541 0.0007769037 0.0004780946 0.00082172506 0.00082987436 0.000736157 0.00057996134 0.00067096227 0.0006723205 0.00205635 0.000912726 0.00060033466 0.00057724485 0.0005310653 0.00037215315 0.00032597358 0.0005745284 0.0010594141 0.000584036 0.00033819757 0.0015130606 0.0007307241 0.0004726617 0.0008122175 0.0005147666 0.0010485484 0.0009942194 0.00093309936 0.0005500804 0.0011694302 0.00042512387 0.0005623044 0.0005229159 0.001106952 0.0009154425 0.00075109745 0.0008176504 0.00086111354 0.0004971097 0.0006655294 0.000645156 0.0012645058 0.0013364917 0.00038301895 0.00082172506 0.00077011256 0.0011218924 0.00046587057 0.00077011256 0.0005921853 0.0008081428 0.0008271579 0.000772829 0.000444139 0.0009480398 0.0008896362 0.0025032053 0.0025018472 0.0006356485 0.0004726617 0.0005419311 0.0004943932 0.00051884126 0.00034906337 0.0006560218 0.002409488 0.0004780946 0.0006234245 0.0008964273 0.0007415899 0.00036536204 0.0028373282 0.000797277 0.0017670484 0.0006655294 0.0008040682 0.0006777534 0.0020984549 0.00061663333 0.005726269 0.0004210492 0.0016081363 0.00029880911 0.00044821366 0.0005935436 0.00037758605 0.000304242 0.0003449887 0.0006044093 0.00039931762 0.00029473443 0.00031374957 0.0004672288 0.00034227225 0.00040067584 0.00036400382 0.00040746696 0.00037894427 0.00037079494 0.000316466 0.00064787245 0.0005636626 0.00035857092 0.00040067584 0.00040475052 0.00030288377 0.00027028643 0.00028794332 0.00047537812 0.00034091403 0.00034091403 0.00045093012 0.00041697454 0.000316466 0.0003504216 0.00033004823 0.00065738003 0.00028930153 0.00031782425 0.00048760214 0.0004971097 0.00043598967 0.00042512387 0.00060033466 0.00061934977 0.00043055677 0.00045907946 0.0003449887 0.00040610874 0.000620708 0.00042240744 0.0004020341 0.001965349 0.0010675634 0.0007524557 0.001344641 0.0008488895 0.00035585448 0.0008339491 0.00087062106 0.00081085926 0.0008583971 0.0003870936 0.00031782425 0.0011558479 0.0005337817 0.00045093012 0.0004672288 0.0006954103 0.00051069196 0.0005555133 0.000468587 0.0005324235 0.00037894427 0.00045500477 0.00044278076 0.0006044093 0.0007252912 0.00035857092 0.0006315738 0.00044685544 0.00061799155 0.00035449627 0.00044278076 0.00075924676 0.0004903186 0.0002689282 0.00036943672 0.00054872216 0.0005242742 0.0003966012 0.000456363 0.0027096553 0.00086926285 0.00043055677 0.0012645058 0.001101519 0.00040610874 0.00038981007 0.0003273318 0.0010363243 0.00045364656 0.00046451236 0.0005650209 0.0007266494 0.0003680785 0.0007646797 0.000785053 0.0012590729 0.00048760214 0.00046587057 0.0004278403 0.0013283424 0.0004916768 0.001010518 0.6894735 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.67966574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001598135 6.120517e-06 5.4404595e-06 2.1761838e-05 6.120517e-06 6.8005747e-06 8.1606895e-06 3.4002874e-06 2.7202298e-06 3.4002874e-06 4.760402e-06 4.0803447e-05 2.9922528e-05 4.760402e-06 3.4002874e-06 0.0010853717 0.095448785 0.0017300661 0.0025026114 0.0017667892 0.0019184421 0.0021313 0.0025325338 0.0020326916 0.0017178251 0.0018796788 0.0016348581 0.0022278682 0.0017246257 0.0022584707 0.0017355066 0.002106138 0.0052133203 0.00021285798 0.00032302729 0.00013397132 0.00025842185 0.00014757247 0.00036859114 0.00026250217 0.00014893258 4.828408e-05 4.012339e-05 4.9644193e-05 4.9644193e-05 8.500718e-05 9.5208045e-05 0.0009194377 0.00087455387 7.208609e-05 2.1761838e-05 0.00012037017 8.9767585e-05 1.8361552e-05 3.3322816e-05 2.1081782e-05 1.4281207e-05 1.8361552e-05 1.8361552e-05 2.7882355e-05 1.7001435e-05 1.36011495e-05 1.2241034e-05 1.9721667e-05 0.0030827005 0.0002523013 0.00030806602 0.000119690114 0.00031894696 0.00017205454 0.0013669155 0.0010398078 8.5687236e-05 6.052511e-05 2.1761838e-05 3.0602587e-05 5.2364423e-05 2.1081782e-05 1.36011495e-05 1.7681494e-05 0.0033873662 0.0006174922 0.00042435585 0.00024822098 0.000260462 0.00014009184 0.0010323272 0.0010452484 0.00022237879 0.00018361551 7.752655e-05 9.7248216e-05 8.092684e-05 6.3245345e-05 4.4883793e-05 0.00043115643 0.0043863705 0.00065149507 0.0003774319 0.0027059487 0.00043999718 0.00038423247 0.0010112454 0.00088135444 0.00037471164 0.00039171308 0.00032642757 0.00032234724 0.0004991622 0.0003753917 0.0002570617 0.00054268586 0.0016069758 0.00020537735 0.00015845339 0.00023053947 0.00015437305 0.00024822098 0.00016457391 0.00025366142 0.0010003645 0.00021217793 0.00019585654 0.0002509412 0.00033390822 0.00013737161 0.0002046973 0.0016062957 0.009668377 0.0017355066 0.001148617 0.001965366 0.0017783502 0.0021741437 0.0014240403 0.0025658568 0.004927696 0.0005902899 0.00066509616 0.00084327126 0.002472689 0.00087523396 0.0020190906 0.00414359 0.012351884 0.0038443648 0.0018558768 0.0026617448 0.0036661897 0.0050949906 0.0023992427 0.0046447925 0.009377993 0.0007161005 0.0009922038 0.0011411364 0.005063708 0.0020075296 0.0044910996 0.007936271 0.0038525255 0.0025386545 0.0021632628 0.0023359973 0.0025182527 0.00248697 0.0022788725 0.0024828897 0.0029072457 0.002152382 0.0022571108 0.0023468782 0.002687587 0.0023706802 0.002426445 0.0025842183 572.0 10.706294 6124.0 0.034291312 0.0026126713 0.0019595036 0.0035924232 0.0039190073 0.0029392554 0.0026126713 0.00914435 0.0053886347 0.0027759634 0.0024493795 0.0027759634 0.0053886347 0.0024493795 0.004898759 0.0026126713 0.011267146 0.012246897 0.020084912 0.019431744 0.016819073 0.017145656 0.011430438 0.012736773 0.015839322 0.011267146 0.0068582627 0.0068582627 0.0063683866 0.011103854 0.006041803 0.00996081 0.0053886347 0.008654474 0.004572175 0.009470934 0.0065316786 0.0066949707 0.0071848463 0.008164599 0.008164599 0.005551927 0.0031025473 0.0037557152 0.0078380145 0.0070215547 0.005062051 0.0039190073 0.019268451 0.005062051 0.005878511 0.010287394 0.008817766 0.004245591 0.0093076425 0.010124102 0.0066949707 0.0040822993 0.0037557152 0.004245591 0.004245591 0.004572175 0.0026126713 0.008164599 0.010940562 0.030372305 0.0070215547 0.024493795 0.02073808 0.05813194 0.008654474 0.009797518 0.010940562 0.024493795 0.0078380145 0.0026126713 0.030535597 0.0078380145 0.023024168 0.031188766 0.013226649 0.0032658393 0.038536903 0.022207707 0.0488243 0.016492488 0.008164599 0.004245591 0.009470934 0.008001306 0.0035924232 0.0026126713 0.0039190073 0.0034291313 0.0026126713 0.005062051 6.097615 0.0 0.0 0.0 4.0 736256.0 749568.0 1.0 0.0 78.0 1.0 0.0 0.0 0.0 0.0 1536792300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 15.0 28.0 5.0 1.0 5.0 1.0 84480.0 1024.0 24576.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -616960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.445789 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.688693 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.4288514 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.9329205 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -620376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -84301.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 0.0 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 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 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 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 116404.0 0.0 0.0 0.0 0.0 0.0 0.0 5056.0 741376.0 28.0 112720.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 112752.0 0.0 0.0 332.0 90112.0 0.0 0.0 0.0 0.0


Input: 0.19373155 0.011945444 0.0055961097 0.004736051 0.0111083025 0.0029593157 0.0024086356 0.0025242313 0.01696863 0.0023877409 0.0020035454 0.0017780834 0.009941225 0.0015307154 0.0012648117 0.009048813 0.008130788 0.0018185249 0.0010245211 0.00096689176 0.0050508217 0.0021053234 0.00094363786 0.00084961107 0.0033323898 0.0007538992 0.0007383966 0.0010315984 0.002720036 0.00076367264 0.0008169208 0.0008290533 0.006998086 0.00078153436 0.0010649627 0.00077647914 0.0102772275 0.001942209 0.0006086464 0.0007303083 0.0018603146 0.0008054623 0.0007582804 0.0015229641 0.0017565144 0.00129885 0.0010740621 0.0006366185 0.0028359687 0.0024510992 0.0016790014 0.0050976663 0.0023510063 0.0014582576 0.0013598496 0.0013345735 0.0024881708 0.0020888099 0.0018424529 0.003340815 0.0051997816 0.003338456 0.0013396287 0.0013915289 0.0028093448 0.002462895 0.003010542 0.0016601286 0.0046696593 0.017781844 0.0021140857 0.0012624527 0.0040027094 0.0014835335 0.0010430568 0.00076973886 0.003167927 0.013108478 0.0017248353 0.0011842655 0.010806676 0.008800771 0.006801607 0.0033984443 0.0035339238 0.012942667 0.0037590489 0.0027523895 0.0016051953 0.00083646755 0.00057258597 0.0018330165 0.0019540044 0.003946428 0.0026067996 0.0039255335 0.0039066607 0.004038433 0.0020621857 0.0035750393 0.004341071 0.006532333 0.0028622558 0.0048482767 0.00770177 0.003416306 0.006012321 0.0010504711 0.003114679 0.0015896928 0.0033859748 0.0033832788 0.0026266833 0.00060898345 0.0035248245 0.0036970384 0.011346908 0.0064137043 0.0011849395 0.0009847535 0.0016570955 0.0013595126 0.0006356075 0.00045530527 0.0021511572 0.0030587348 0.0011849395 0.0011650558 0.0022263112 0.0019229992 0.00076131354 0.022213573 0.002694423 0.0085763205 0.0011323654 0.0007104245 0.0025707392 0.014523597 0.0014255672 0.050829727 0.0011650558 0.009235519 0.00072896027 0.0005213599 0.0019327726 0.00064201077 0.00039599088 0.00057966326 0.0011418018 0.002066904 0.0006153867 0.000473167 0.0009850905 0.0006834634 0.00035790837 0.0004536202 0.0009901457 0.0005307963 0.00046406762 0.0005264151 0.000997897 0.00096588075 0.00036431162 0.0006116795 0.0011087744 0.00047687412 0.00044519486 0.0003892506 0.00095610734 0.0003912727 0.00037745514 0.00039194673 0.0010036263 0.00040239416 0.0004138526 0.00038554348 0.0011498901 0.00041284156 0.0003464499 0.000398687 0.0009685769 0.00046440464 0.0028295654 0.00093420147 0.0026630808 0.0008829754 0.0005584314 0.000499117 0.0010511451 0.00087185396 0.0011380947 0.00073704857 0.0071871504 0.0038544235 0.0016874267 0.0051495666 0.012519041 0.00090858847 0.0020999312 0.0047424543 0.0020743182 0.001472412 0.0007771532 0.0005601165 0.02420903 0.0007407557 0.00057326 0.00056449766 0.0019361427 0.0010289022 0.0014879147 0.00067571213 0.0013861366 0.0005132716 0.0005527022 0.0005378736 0.0019132257 0.00065111014 0.00060527626 0.0009031962 0.0014124237 0.00079164474 0.0005318073 0.0007195239 0.0023105647 0.0010595705 0.0012648117 0.0005331554 0.0018657069 0.0022815815 0.0005351775 0.0004906917 0.01786576 0.0032986884 0.00085432926 0.0044455454 0.0054441164 0.0006551543 0.0006598725 0.0012247071 0.0043036626 0.0009446489 0.001096979 0.0011151778 0.0035821167 0.00059482886 0.001420849 0.0016412558 0.0065400843 0.0014525283 0.0015725051 0.0016614767 0.009121608 0.003214098 0.0068531698 0.045156777 0.011714872 8.43027e-07 5.058162e-07 8.43027e-06 5.058162e-07 0.0 8.598876e-06 0.0 3.3721082e-07 3.3721082e-07 3.3721082e-07 5.058162e-07 1.6860541e-07 6.7442164e-07 8.43027e-07 3.372108e-06 0.007198945 2.1918702e-06 1.686054e-06 0.00013437851 1.8546594e-06 1.3488433e-06 0.00013437851 3.3721082e-07 8.43027e-07 2.1918702e-06 6.7442164e-07 2.0232649e-06 1.6860541e-07 1.0116324e-06 2.6976866e-06 0.00011195399 0.0044179675 2.8662919e-06 4.3837404e-06 0.00012527381 2.529081e-06 2.529081e-06 0.00013808782 8.43027e-07 3.709319e-06 4.0465297e-06 2.529081e-06 3.0348972e-06 2.8662919e-06 1.2139589e-05 4.552346e-06 0.00010689582 0.036812123 3.2203632e-05 2.7988497e-05 0.0022933707 2.4784995e-05 2.1244281e-05 0.00228983 2.933734e-05 2.8157103e-05 1.9895439e-05 2.0401254e-05 1.8209385e-05 2.276173e-05 2.056986e-05 3.5069923e-05 0.002502947 0.01955789 3.0011763e-05 2.0232648e-05 0.0017022402 2.1918702e-05 1.8209385e-05 0.0016986994 2.0232648e-05 3.5407134e-05 1.4500065e-05 1.1127957e-05 1.2139589e-05 2.2593124e-05 1.3994249e-05 2.7651286e-05 0.0016550306 0.0060595097 6.9296824e-05 3.1697815e-05 0.0005418978 3.4058292e-05 3.372108e-05 0.00048119982 4.6703695e-05 0.000106727224 1.8883806e-05 2.4279178e-05 1.7029146e-05 7.5872435e-05 1.3657038e-05 6.9296824e-05 0.0016993738 0.006535651 0.00025037903 0.00022188471 0.00017754149 0.00030719905 0.00040431577 0.00082296296 0.00044056593 9.543066e-05 9.475624e-05 6.1035156e-05 6.8453795e-05 7.233172e-05 6.22154e-05 6.0697945e-05 0.00033839105 0.004684364 0.00018630897 0.00058084563 0.00017366356 0.00014719252 0.00016321003 0.0022638647 0.0010232662 8.75062e-05 0.00012662266 6.525029e-05 4.147693e-05 4.4511828e-05 3.2035026e-05 5.1761857e-05 0.00034193177 0.008987005 0.00021682655 0.0013791922 0.0003992576 0.0010055626 0.0008924284 0.0058160434 0.0024328073 0.00018479153 0.00016472748 0.00021682655 0.00021952424 0.00022964056 0.00020502417 0.0002056986 0.0005800026 0.0098677995 0.00028224546 0.0032348633 0.0010298418 0.0033066892 0.0030637288 0.011783663 0.0058924216 0.00021665795 0.00017686706 0.00013842504 0.00010807606 0.00010706443 8.9023655e-05 0.00015865768 0.00025391974 0.00941931 0.0006624506 0.0020922245 0.0013616573 0.0026378315 0.0021148175 0.006761751 0.0034468002 0.00030348974 0.00022862892 0.00021058814 0.0002620128 0.00016658213 0.0001654019 0.00019490784 0.0003582865 0.007653505 0.0012581336 0.0021497188 0.012675248 0.0019028806 0.0016145654 0.0034850738 0.0020816023 0.0012264358 0.000954981 0.00090321916 0.0009915684 0.0010300104 0.00097521365 0.0010131499 0.0011758541 0.01736349 0.0024178014 0.0014742856 0.0016351352 0.006237051 0.0058007003 0.0017540021 0.0021986144 0.014027126 0.0010298418 0.00054830476 0.0011969297 0.006190516 0.00092716113 0.0047658 0.010471913 0.10277326 0.018497698 0.0123478165 0.0109822815 0.03845889 0.043358903 0.016263172 0.017249681 0.08588725 0.0064204936 0.004660422 0.009152913 0.046573702 0.00867694 0.030335316 0.059065677 0.024725309 0.0064171217 0.0077600637 0.0047555156 0.0066872276 0.011101822 0.0065189595 0.0056484495 0.017450491 0.0021451665 0.0014385413 0.0023626676 0.012958674 0.0030099438 0.006392168 0.0101168305 0.0021367362 0.0015334662 0.0015474604 0.0015892745 0.0014838962 0.0014918207 0.0015977048 0.0015371755 0.0016263677 0.0014280878 0.0013675584 0.001441239 0.001646769 0.001428425 0.0014798497 0.0015260475 15976.0 14.788119 236255.0 0.05411949 0.001172462 0.004224249 0.0009946879 0.011766947 0.009388161 0.0008677065 0.0030348564 0.003826374 0.002150219 0.0011174367 0.0009142664 0.00419462 0.010145817 0.0059554293 0.001409494 0.009422023 0.010298194 0.008842141 0.008926795 0.008385007 0.0070263064 0.0061628325 0.0052866605 0.0068866266 0.0067850417 0.009159595 0.005337453 0.006374468 0.0053628497 0.0044739796 0.005146981 0.006374468 0.0115807075 0.0037205562 0.011060083 0.011220926 0.015106559 0.0041141985 0.004033777 0.0054517365 0.008456964 0.0009904553 0.0029925292 0.010039999 0.004152293 0.007906711 0.0064167953 0.012715075 0.005028465 0.011504519 0.017519206 0.012600792 0.0057522594 0.0055829505 0.004952276 0.0038094432 0.0022221752 0.00096082623 0.001557639 0.005917335 0.0016719223 0.0015322427 0.021980487 0.002493069 0.034890268 0.008630505 0.025112696 0.026729593 0.062593386 0.009904552 0.01135214 0.012317199 0.037015088 0.008156441 0.005058094 0.02332649 0.014425091 0.035148464 0.033997163 0.018602781 0.002493069 0.035118833 0.03657912 0.05023809 0.015398616 0.006277116 0.0046813823 0.0057437937 0.008418869 0.001379865 0.00082114665 0.002742799 0.0008888701 0.00059258007 0.0007872849 5.888901 3.0 16.0 0.0 6.0 2967240.0 3825664.0 1.0 141.0 520.0 1.0 1.0 1.0 0.0 0.0 1541170800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 2113536.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -87552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 351232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -121344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2113536.0 0.0 287232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0976443 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.8077826 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6286197 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4956813 0.0 1.2829702 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -87356.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 351155.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -972004.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2113257.0 0.0 287044.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 -1.0 0.0 1.0 -1.0 1.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 -3.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -3.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 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 2.0 -1.0 -1.0 1.0 -1.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 -2.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 2.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 1.0 -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 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -2.0 0.0 0.0 1.0 0.0 1.0 -2.0 1.0 2.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 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 -2.0 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 -2.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 1.0 -1.0 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 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -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 -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 2.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 -1.0 0.0 0.0 1.0 -2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 -1.0 -1.0 1.0 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 0.0 0.0 1.0 2.0 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 1.0 0.0 0.0 0.0 1.0 0.0 -3.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -2.0 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 2.0 1.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 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 -2.0 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 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 2.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -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 -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 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 1.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -3.0 -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 -1.0 -1.0 -1.0 -1.0 0.0 0.0 -2.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 1.0 0.0 2.0 -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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 1.0 0.0 0.0 -1.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -2.0 -2.0 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 -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 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -2.0 1.0 1.0 0.0 2.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 -2.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 3.0 -1.0 2.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 -1.0 -2.0 2.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 2.0 -1.0 1.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 -2.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 -2.0 -1.0 0.0 0.0 2.0 -2.0 0.0 1.0 -3.0 1.0 0.0 0.0 1.0 2.0 1.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 4611.0 2464176.0 260.0 2450788.0 287044.0 3444736.0 0.0 0.0 5320.0 2961920.0 74240.0 3735552.0 28.0 2120272.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 2425488.0 0.0 0.0 2128.0 2117632.0 0.0 0.0 0.0 0.0