Input: 0.00907995 0.0029945618 0.0029057025 0.0032167104 0.0048161796 0.0037839294 0.003114522 0.0031604327 0.0036817412 0.0035321612 0.0036817412 0.006128337 0.0034566307 0.0031530277 0.0037365379 0.003132294 0.0029234742 0.005171617 0.0032966838 0.0043244907 0.003409239 0.0034758835 0.0027620464 0.0030597253 0.0045066527 0.0043881736 0.0037617146 0.0058810115 0.0032448492 0.0031589516 0.0033781382 0.0038772319 0.003398872 0.0037706005 0.004469628 0.003277431 0.003542528 0.0031974574 0.003277431 0.0036550832 0.005375994 0.0054189423 0.004358554 0.0051049725 0.0053922846 0.00415862 0.0031456228 0.004103823 0.0031559898 0.0029353222 0.003561781 0.003542528 0.0030093717 0.0042252643 0.0029279173 0.0027131736 0.0061046407 0.0043629967 0.003720247 0.003409239 0.0046665994 0.004753978 0.0030419535 0.003256697 0.0033796192 0.002970866 0.002939765 0.0036995132 0.0036921082 0.004559968 0.004296352 0.0055596363 0.0031782046 0.0033174176 0.003274469 0.003384062 0.012238901 0.002967904 0.0030567634 0.002824248 0.0032004195 0.0029249552 0.0036698931 0.0045273863 0.0030523203 0.0037557906 0.002957537 0.0034847695 0.0039186995 0.0035973247 0.0037483857 0.0041763918 0.0028553486 0.0028864495 0.0045066527 0.0033885052 0.01139918 0.0030182577 0.0038402071 0.0028642346 0.003706918 0.0033514805 0.004440008 0.004774712 0.0035825148 0.003256697 0.0032892788 0.003700994 0.0038224352 0.0030760162 0.004168987 0.0033218607 0.003114522 0.0033411135 0.0033633283 0.002687997 0.0032004195 0.0036536024 0.003105636 0.0027901852 0.0036580453 0.003727652 0.0037839294 0.0033588854 0.0047524967 0.004779155 0.003272988 0.0032537351 0.0027339077 0.0036847033 0.0028597917 0.0035928818 0.0036165777 0.0055537126 0.0031900525 0.0032211533 0.0034684786 0.0034477448 0.0031530277 0.004571816 0.0038091063 0.0036624882 0.003837245 0.00266282 0.0044888807 0.003998673 0.0033885052 0.005017594 0.0031944956 0.0030686113 0.002670225 0.003536604 0.005024999 0.004285985 0.0033692522 0.0055803703 0.0041186335 0.002981233 0.003852055 0.0037883725 0.0037172849 0.003535123 0.003567705 0.0027812992 0.0034373777 0.0036358305 0.003551414 0.010193654 0.0033825813 0.004937621 0.0034699596 0.0038105873 0.0033603664 0.0029841948 0.004003116 0.003132294 0.0036106536 0.0031115601 0.003412201 0.0043378198 0.0027798181 0.003249292 0.0028020332 0.002959018 0.0046547516 0.004250441 0.004013483 0.003391467 0.003570667 0.0053952467 0.0032966838 0.0032907599 0.0031856096 0.0040623555 0.0030463964 0.003828359 0.0035262373 0.0034921744 0.004463704 0.0051434785 0.004905039 0.0032907599 0.0036299066 0.00409938 0.010831961 0.0030567634 0.0037335758 0.0032389252 0.0029871569 0.003394429 0.0049864934 0.0032093055 0.0031722805 0.0039172187 0.0036669313 0.0029960428 0.0049435445 0.004041622 0.0045688543 0.004157139 0.00341072 0.0029308791 0.0038224352 0.0031722805 0.010475042 0.004280061 0.0050694286 0.0038150302 0.004046065 0.0031782046 0.0052797296 0.004465185 0.00414381 0.0045614494 0.005032404 0.004447413 0.004919849 0.003424049 0.0045140577 0.004882824 0.0031944956 0.0037942964 0.003720247 0.002945689 0.0036358305 0.0039438764 0.0036787791 0.0034877316 0.004157139 0.0038239162 0.00402385 0.0035010604 0.006218677 0.0051434785 0.003250773 0.004299314 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001089357 2.0777925e-05 0.00010314756 2.0035857e-05 1.780965e-05 1.3357238e-05 3.4877234e-05 1.4841376e-05 2.0777925e-05 9.646894e-06 7.420688e-06 1.18731e-05 2.2262064e-05 2.1519994e-05 8.756411e-05 2.4488269e-05 0.001133139 0.0 0.001133881 2.2262063e-06 1.4841376e-06 0.0011316548 0.0 3.710344e-06 1.4841376e-06 0.001133139 5.194481e-06 3.710344e-06 7.420688e-07 2.968275e-06 4.4524127e-06 1.4841376e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0031916378 0.00037622885 0.0094472775 0.0006389212 0.0066311266 3.116689e-05 0.006798092 6.8270325e-05 8.979032e-05 3.0424819e-05 0.00018403305 4.229792e-05 0.008742312 0.00044969367 0.015780834 0.0006893819 0.0011628218 1.1131032e-05 8.162757e-06 2.968275e-06 0.00029385922 0.00027901787 0.00033615716 0.0001543503 5.491309e-05 0.000105373765 8.014343e-05 0.00011947307 0.00041259025 0.00057361915 0.000647084 0.00031760545 0.0011197818 7.494895e-05 0.0006871557 8.31117e-05 0.00037103437 0.00025230338 0.00043262608 0.00027011303 0.00029385922 0.000280502 0.00031463715 0.00011131031 0.00060478604 0.00047418196 0.0012756162 0.0009528163 0.0012073459 0.0021557098 0.00088009355 0.0010322176 0.0016273569 0.00211638 0.0025215496 0.0009053239 0.00052612677 0.001500463 0.0006515364 0.00076433085 0.0017119526 0.0019731608 0.0018625926 0.0013602121 0.007454081 0.0058089145 0.0057443543 0.0053265695 0.005176672 0.0057369336 0.0051915133 0.0047002635 0.0064797443 0.004876876 0.005837113 0.004511036 0.006830743 0.008142721 0.0063387514 0.0075883954 0.045882113 0.052267615 0.047751382 0.052395992 0.051242817 0.047165148 0.05039389 0.049824722 0.049714155 0.054559123 0.05654861 0.05266091 0.04926669 0.0477358 0.050607607 0.052013826 2260.0 5.8690267 13264.0 0.009424005 0.008820868 0.008971653 0.007916164 0.009574789 0.011987334 0.014927624 0.00814234 0.0088962605 0.008443909 0.009876357 0.009876357 0.007916164 0.009197828 0.008745477 0.012439687 0.009951749 0.011233414 0.010479493 0.009574789 0.0069360677 0.014249096 0.0067852833 0.007689988 0.010253318 0.009047044 0.012816646 0.011233414 0.011233414 0.011987334 0.0064837155 0.007840772 0.011308806 0.01221351 0.00814234 0.014022919 0.013645959 0.01884801 0.010102533 0.017113993 0.008745477 0.011610374 0.008971653 0.00776538 0.013118215 0.008820868 0.009499397 0.0070868516 0.010479493 0.00814234 0.009499397 0.008745477 0.007689988 0.0080669485 0.007916164 0.011761158 0.013118215 0.008745477 0.018094089 0.010027141 0.009499397 0.009197828 0.014098311 0.009876357 0.010705669 0.009273221 0.010253318 0.009273221 0.010102533 0.012515078 0.01183655 0.015455368 0.012364294 0.00776538 0.009650181 0.013268999 0.012892039 0.009574789 0.013344391 0.011987334 0.009122437 0.010253318 0.011610374 0.009122437 0.009047044 0.012590471 0.00776538 0.007539204 0.012062727 0.008670084 0.010328709 0.008293124 0.014475271 0.011158022 0.010931846 0.007840772 6.547165 0.0 0.0 0.0 11.0 675224.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1420504600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 12.0 4.0 0.0 4.0 0.0 667648.0 1536.0 4096.0 4.0 4.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 671780.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36.0 671744.0 0.0 0.0 0.0 0.0


Input: 0.11089833 0.0154367825 0.013815496 0.014742768 0.012127975 0.011697455 0.011791047 0.0110005615 0.013112842 0.010899771 0.011943673 0.010875293 0.011819844 0.01069819 0.010667953 0.012490821 0.012377071 0.010866654 0.010773063 0.010646355 0.011157507 0.011058156 0.010626197 0.010617558 0.0111143105 0.010676593 0.010571482 0.010583001 0.010667953 0.0103627015 0.010539805 0.010535485 0.013019251 0.010623317 0.0107500255 0.0105902 0.011559228 0.01059452 0.010364141 0.010519647 0.010862335 0.010678032 0.010562843 0.011144548 0.010653554 0.010889692 0.012810471 0.0106938705 0.012074701 0.011241019 0.01154339 0.012590172 0.011632662 0.011524672 0.011412363 0.011186304 0.011693136 0.011933593 0.010836417 0.011435401 0.010692431 0.010770183 0.0109040905 0.011199263 0.0036169386 0.0011360528 0.00054570846 0.0007962448 0.00086535834 0.002679587 0.0010554204 0.0011720493 0.0017235173 0.00087975693 0.000381564 0.0007976847 0.00069545436 0.0016961598 0.0008466401 0.0006061828 0.001981253 0.0010511008 0.0007328908 0.0014701012 0.0011043757 0.0011374926 0.0012426027 0.0008840765 0.00058026524 0.0011936473 0.0003844437 0.00034700724 0.00024189717 0.00092007313 0.00066089764 0.0062274123 0.0004089214 0.005099999 0.0017911909 0.0024276108 0.0027170235 0.004895538 0.0014441836 0.0013203553 0.0016414451 0.0035003095 0.001524816 0.00087255763 0.002361377 0.0015608127 0.0024088926 0.0028350924 0.002109401 0.00031101063 0.0033808008 0.0035334264 0.007052454 0.0033865604 0.00090855424 0.00090711436 0.0013635512 0.0014225857 0.0006580179 0.0004492376 0.0007242516 0.001111575 0.0007775266 0.00091575354 0.0011936473 0.0009373515 0.0005010727 0.002850931 0.0009416711 0.0021885934 0.00034268765 0.00013678709 0.0005154713 0.0020172496 0.00037004508 0.005923601 0.00027933362 0.0018631842 0.00014254655 0.00015982491 0.00026637485 0.00010654994 0.00013678709 0.00021885934 0.00033836806 0.00015118573 0.00011518913 9.21513e-05 0.00031101063 0.00017134383 7.63128e-05 9.359117e-05 0.00020734043 8.207225e-05 8.783171e-05 0.00033404847 0.000264935 0.00024621675 0.00010223035 0.00020590056 0.00019726138 0.00017710328 0.00010942967 0.00010942967 0.00029517213 0.0001641445 0.000110869536 0.00017854315 0.00027933362 0.00013822695 0.000118068856 0.00010798981 0.00028941268 0.0001324675 8.207225e-05 0.0001281479 0.00021885934 0.00011518913 0.00074728945 0.00019726138 0.00037148493 0.00025341607 0.00010798981 0.0001324675 0.00022749853 0.00011518913 0.0002202992 0.00016702423 0.0015924897 0.0006896949 0.000656578 0.0010309427 0.0007688874 0.00018286274 0.0005730659 0.0008883961 0.00049963285 0.0004650761 0.00025053634 0.000118068856 0.002129559 0.00010511008 0.0002447769 0.0001324675 0.000444918 0.00027213432 0.00041468086 0.00018862219 0.00029085253 4.7515514e-05 0.00021309988 0.00012670804 0.00046363624 0.00016702423 0.00014254655 0.00033548832 0.0003412478 0.00023613771 0.00012526817 0.00010511008 0.0005730659 0.00016702423 0.00016270464 0.00012238845 0.0004405984 0.0001843026 0.00013678709 0.0001123094 0.0028106146 0.0005370693 0.00014542627 0.00089559547 0.0010554204 8.063239e-05 0.00016270464 0.00012526817 0.0008855164 0.00025917555 0.00035564642 0.00027213432 0.0006061828 0.00014398641 0.0010525406 0.00041036127 0.0011000561 0.00030813093 0.00021453974 0.00028653294 0.0009661488 0.00026349514 0.0009243927 0.008878202 0.0029542097 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0014129143 5.769941e-06 8.654912e-06 7.212426e-07 0.0 3.606213e-06 2.2358521e-05 1.22611245e-05 7.212426e-07 7.212426e-07 7.212426e-07 1.4424852e-06 2.163728e-06 7.212426e-07 1.4424852e-06 2.8849704e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012794844 1.22611245e-05 4.111083e-05 5.769941e-06 2.8849704e-06 8.654912e-06 5.6978166e-05 2.7407219e-05 4.327456e-06 4.327456e-06 4.327456e-06 4.327456e-06 7.212426e-06 5.0486983e-06 5.0486983e-06 7.933669e-06 0.002440685 3.4619647e-05 4.9044498e-05 0.00016083711 1.8031065e-05 1.51460945e-05 0.00010025272 4.2553314e-05 1.9473551e-05 1.1539882e-05 6.4911837e-06 1.1539882e-05 1.22611245e-05 5.0486983e-06 1.081864e-05 1.5867337e-05 0.017276645 0.00024378 0.00093040295 0.00020050544 0.00015723088 0.00020699663 0.0012636171 0.0008041855 0.00027046597 0.00014136355 9.015533e-05 8.654912e-05 0.00011035012 9.30403e-05 8.366414e-05 0.00019762048 0.038479015 0.0007738933 0.0019567313 0.00058492774 0.0006087288 0.0008258228 0.0022906666 0.0030385952 0.0019206691 0.0003642275 0.00034619647 0.0003620638 0.00034980266 0.00030508562 0.0002928245 0.0006765256 0.17804812 0.16515735 0.16675635 0.16668855 0.0008719823 0.0014518613 0.0070436555 0.0043050973 8.077917e-05 0.00015362467 6.0584378e-05 0.00012838119 8.29429e-05 9.4482784e-05 6.1305625e-05 0.00030003692 0.010565483 0.0005452594 0.0015088395 0.0013350201 0.00036999746 0.0007198001 0.0044753104 0.0026152257 0.0003483602 0.00027839965 0.00014569101 7.212426e-05 0.00012621746 9.159781e-05 6.851805e-05 0.00036783374 0.0076444503 0.00037865236 0.0007623534 0.004905171 0.0066924104 0.0069390754 0.014223626 0.0084125735 0.0005834853 0.00016372207 0.0001319874 0.00013992107 0.00011251385 9.881024e-05 0.00012477498 0.00038514356 0.006320249 0.0006245961 0.0009715138 0.0012823694 0.001548508 0.00059646764 0.0028820855 0.0016328932 0.00022286396 0.00013919982 0.0003281654 0.00017237698 0.00023007639 0.00015795213 0.00018175314 0.00043418806 0.0016689554 0.00017670445 0.00020771788 0.0029534886 0.00050342735 0.00035485136 0.0007955306 0.0005041486 0.00019906297 0.0001947355 0.00027335095 0.000219979 0.00020843912 0.00020339042 0.00018391687 0.0002149303 0.0011871654 0.00013559361 9.159781e-05 0.00015362467 0.0002740722 0.00041904196 0.0001846381 0.0001471335 0.00047962635 4.183207e-05 8.871284e-05 6.635432e-05 0.00035052391 4.8323254e-05 0.00023224013 0.00053083454 0.012300071 0.0026310931 0.0015542778 0.0020490503 0.003641554 0.004081512 0.001272272 0.0032830965 0.00794016 0.00065705203 0.0005806003 0.0011179261 0.0044313148 0.00096430135 0.0028337622 0.006791942 0.012310169 0.002758753 0.0017785843 0.0025647387 0.004693126 0.004317358 0.0018910981 0.0040382375 0.00832891 0.00064046343 0.0007493711 0.0011215323 0.0043188008 0.001852151 0.003644439 0.007030673 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10458.0 9.323484 97505.0 0.017999077 0.01415312 0.014122353 0.013742885 0.018050356 0.013835188 0.013486488 0.014112097 0.01437875 0.01403005 0.013701862 0.014112097 0.01403005 0.01512743 0.026808882 0.014235168 0.020029742 0.01851187 0.020265628 0.017947797 0.020491257 0.02000923 0.018747756 0.017978566 0.019445157 0.020993795 0.014604379 0.014255679 0.014214655 0.014573611 0.015199221 0.015506897 0.008912363 0.0050048716 0.0023588534 0.0034972567 0.003025486 0.0025434594 0.002410133 0.0026049947 0.0021742475 0.0045638685 0.0014050561 0.0018768269 0.0027896005 0.004174145 0.0033639302 0.0029844623 0.004307471 0.0029024153 0.0029639506 0.005199733 0.0061432747 0.0018152915 0.0026357623 0.0024716682 0.0022562945 0.0016717091 0.0017435004 0.00012307061 0.00031793243 0.00015383826 0.0001948618 0.041228656 0.000707656 0.033926465 0.009845649 0.015845342 0.016070971 0.031065073 0.006184298 0.007281678 0.007179119 0.022819342 0.0024306446 0.005292036 0.014871032 0.009999488 0.015465873 0.017896518 0.010717399 0.0014871032 0.020922003 0.018552896 0.03429568 0.007835495 0.00406133 0.0049125687 0.00765089 0.007927799 0.0027178093 0.00047177068 0.0007691913 0.00060509716 0.0006666325 0.0010050767 6.0692043 0.0 0.0 0.0 6.0 694510.0 774144.0 0.0 0.0 104.0 1.0 1.0 0.0 0.0 0.0 1511214200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 564736.0 1024.0 4096.0 6.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -564736.0 0.0 10752.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4932175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4387493 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.564202 0.0 4.8755884 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4106.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -163912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -564674.0 0.0 10352.0 0.0 0.0 0.0 4.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 566180.0 10352.0 749568.0 0.0 0.0 0.0 0.0 4996.0 761856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 17520.0 0.0 0.0 436.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.13194445 0.01922743 0.019151041 0.007668403 0.011152778 0.004453125 0.008706598 0.004873264 0.005085069 0.004036458 0.01289757 0.004234375 0.003142361 0.0031215278 0.0033836805 0.0028159723 0.0035277777 0.0054913196 0.0050104167 0.004484375 0.004373264 0.00365625 0.0040434026 0.0036927084 0.0033819445 0.0029861112 0.0027430556 0.0025972223 0.0033350694 0.002684028 0.0033541666 0.0035729166 0.005347222 0.0030746527 0.003501736 0.0028402777 0.003388889 0.0034791667 0.0025104166 0.002359375 0.006157986 0.0030052084 0.005048611 0.003873264 0.0043350696 0.0030364583 0.0058194445 0.0032378472 0.0051684026 0.0028541666 0.0024149306 0.0031493055 0.0024375 0.0037899306 0.0034253472 0.0026701388 0.0029479167 0.002375 0.00303125 0.0028246527 0.0026388888 0.0031354167 0.0028003473 0.0024305556 0.0030121529 0.00334375 0.0028663194 0.0038611111 0.004496528 0.0030295139 0.0024652777 0.0024479167 0.00253125 0.003951389 0.0029861112 0.0030052084 0.0023385417 0.00265625 0.0035902779 0.002684028 0.0029392361 0.002592014 0.0039305557 0.0040104166 0.003984375 0.0024774305 0.0027951389 0.0024184028 0.0027083333 0.0026788195 0.0024791667 0.0024166666 0.0023420139 0.002482639 0.0027465278 0.0044479165 0.0032552083 0.009604166 0.003361111 0.00546875 0.0044027776 0.014960069 0.0038211807 0.0046354164 0.0034114583 0.009284723 0.0019635416 0.0030642361 0.006895833 0.00578125 0.009076389 0.015869793 0.006173611 0.0023993056 0.009814236 0.009930556 0.011878472 0.0062673613 0.0029010416 0.003251736 0.00315625 0.0040746527 0.0023923612 0.0053368057 0.002253472 0.004102431 0.0029270833 0.0025416666 0.004355903 0.0035034723 0.0025086806 0.0022256945 0.0020381943 0.0020503472 0.0026927083 0.0018385417 0.0020763888 0.002421875 0.0019392361 0.002470486 0.0025381944 0.0021944444 0.0021944444 0.0022604167 0.0020277777 0.0022760418 0.0023993056 0.002253472 0.0023628473 0.0030954862 0.0026111112 0.0022586805 0.0021024304 0.0023697917 0.0020052083 0.002140625 0.0023368055 0.002236111 0.0021597221 0.0021822916 0.0021354167 0.0018628472 0.0024947918 0.0019270834 0.0037378473 0.0025190972 0.0017986111 0.0022135417 0.0019184027 0.0026284722 0.0018038194 0.0020190973 0.002279514 0.002138889 0.0023923612 0.0021631944 0.0024097222 0.002513889 0.002126736 0.003371528 0.0020902778 0.0021961806 0.0024010416 0.0023836805 0.0024097222 0.002263889 0.00203125 0.0024114584 0.0028663194 0.002236111 0.0025277778 0.002623264 0.0037430555 0.0022621527 0.0019375 0.0023333333 0.0021753472 0.0021128473 0.002576389 0.0022864584 0.002013889 0.0022777778 0.0022291667 0.0024149306 0.0023697917 0.0020833334 0.0028611112 0.0024288194 0.0018576389 0.0018194445 0.0022829862 0.0022829862 0.0020486112 0.0019982639 0.0023055556 0.0022065972 0.0023177082 0.002263889 0.0021996528 0.0027430556 0.0023263888 0.002373264 0.0024010416 0.0027934029 0.0030399305 0.0023784721 0.001986111 0.00253125 0.002204861 0.00234375 0.002671875 0.0026128471 0.0020052083 0.0021006945 0.0021336805 0.0022673612 0.0024114584 0.0023107638 0.002314236 0.0030069444 0.0023975694 0.0021284723 0.0023246529 0.0025850695 0.0019565972 0.0021753472 0.0022864584 0.002361111 0.002029514 0.002579861 0.0021041667 0.0024756945 0.0024322916 0.0030572917 0.0033645832 0.0051631946 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012376754 0.00019583473 0.00022977941 2.262979e-05 0.000103574814 0.00014187138 0.001047063 0.0005318001 0.0 5.2222595e-06 0.0 1.7407531e-06 0.0 7.833389e-06 1.740753e-05 2.262979e-05 0.017672997 0.00080422795 0.0018573835 0.0006510417 0.0040777144 0.0040019914 0.023366129 0.012393292 7.920427e-05 0.000141001 0.00012011197 3.481506e-05 0.00046652183 6.353749e-05 8.52969e-05 0.00013838988 0.084591895 0.007368608 0.0093591595 0.0026294077 0.0033518202 0.003127263 0.012589997 0.0129329255 0.0013073056 0.001047063 0.00096524763 0.0009400067 0.0008912656 0.00081815396 0.0011723972 0.0012925091 0.023399204 0.003672989 0.0031350963 0.0009121546 0.00088169146 0.0006014302 0.002972336 0.002771279 0.00094174745 0.00034728023 0.0004308364 0.00034292837 0.00039253983 0.0010775261 0.0004238734 0.00047783673 0.01565111 0.004012436 0.0032586898 0.002679019 0.0015109737 0.0011454156 0.00873597 0.0049916096 0.0015379554 0.00026024258 0.00028374276 0.00020279773 0.00040559546 0.00064059714 0.00043257716 0.0005970783 0.03825218 0.0069194934 0.0050699436 0.00591769 0.0037191191 0.0030976702 0.013641411 0.007847315 0.0024126838 0.0017424938 0.0012733609 0.0010592482 0.0017076788 0.0010348777 0.0014265472 0.0029175023 0.007936964 0.002401369 0.0019644399 0.001262046 0.0011767491 0.0010992856 0.0017921054 0.0008468764 0.0007015235 0.00067628257 0.0008538394 0.0006127451 0.00040559546 0.00057009666 0.00047000335 0.00040298435 0.00873771 0.0021620153 0.0022281639 0.0017599014 0.0023282573 0.0010836188 0.0035981366 0.0019522547 0.0011854529 0.00096698833 0.0015614555 0.0012246198 0.0009391363 0.0006745418 0.0006875975 0.0009957108 0.011456767 0.0020471257 0.0026415929 0.0029044466 0.003621637 0.0021202373 0.005875912 0.003691267 0.0018277908 0.0012916388 0.0014987885 0.0013482133 0.001590178 0.0010575075 0.0012341939 0.0021385152 0.035768125 0.029468339 0.031276982 0.02940219 0.02859013 0.031143814 0.031243037 0.031490225 0.029410023 0.030435327 0.029134985 0.03319268 0.031399705 0.030365698 0.032465044 0.032539897 3761.0 17.542675 65978.0 0.010594441 0.001227682 0.0013489345 0.0016369093 0.0018794143 0.0012883082 0.0010458032 0.0012579951 0.0011367425 0.0011670557 0.00095486373 0.0011973688 0.009791142 0.002379581 0.024326291 0.0049865106 0.013868259 0.005638243 0.0024402074 0.0067446725 0.004683379 0.0058655916 0.00406196 0.0029555305 0.0034860105 0.0019097275 0.002940374 0.0011518991 0.0025614598 0.009973021 0.0028494347 0.0007123587 0.0014550305 0.0061535663 0.0074721877 0.016005335 0.012246506 0.0050319806 0.0038800812 0.0024098943 0.0014550305 0.008866592 0.00084876776 0.004168056 0.0025311466 0.0051683895 0.003713359 0.004349935 0.009412228 0.0028342782 0.0076085967 0.014580618 0.009866925 0.0030919397 0.005638243 0.002455364 0.0018945709 0.0011064294 0.0013944042 0.00075782835 0.0013034648 0.0010761162 0.0008336112 0.015262663 0.0010912728 0.047561307 0.012746673 0.02335627 0.015929552 0.093970716 0.011837279 0.014322956 0.007138743 0.049880262 0.0008942375 0.007805632 0.036057472 0.026523992 0.049940888 0.05373003 0.01421686 0.0015459699 0.04706114 0.04310528 0.06685562 0.030479858 0.0058352784 0.007896571 0.007335779 0.013928886 0.0018642577 0.0007123587 0.00081845466 0.00081845466 0.0009245506 0.0008790809 5.474758 0.0 50.0 0.0 3.0 576000.0 598016.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1532275500.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 573440.0 512.0 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 -573440.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.307627 0.0 4.229116 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 -573320.0 0.0 1452.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 581424.0 1452.0 581632.0 0.0 0.0 0.0 0.0 12.0 589824.0 28.0 581112.0 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: 0.29927292 0.010234899 0.0063478746 0.011605145 0.013646533 0.010598434 0.016331097 0.009759508 0.009368009 0.00791387 0.011633109 0.001901566 0.0024328858 0.0021532439 0.0022651006 0.0014541387 0.0026845639 0.0019574943 0.0013982103 0.0025167784 0.0011465325 0.0028803132 0.0024608502 0.0018456376 0.0012024608 0.0030480984 0.0016778524 0.001761745 0.00086689036 0.0015100671 0.0015100671 0.00067114097 0.011772931 0.0006431767 0.0017337807 0.0012304251 0.0020413871 0.0014821029 0.0020413871 0.0013143177 0.0023489932 0.0004753915 0.0013982103 0.0020973154 0.000950783 0.0017897092 0.0034395973 0.0027684565 0.009116331 0.0033277406 0.0023769576 0.0037192393 0.0016778524 0.0016498881 0.0011744966 0.001621924 0.0014541387 0.0033557047 0.0021532439 0.0009228188 0.0010346756 0.0018456376 0.0012863535 0.00069910515 0.0030760625 0.0039709173 0.0017897092 0.0015659955 0.0045022373 0.0010626399 0.0011185682 0.0026845639 0.0027964206 0.003942953 0.001090604 0.001370246 0.0013422819 0.0012304251 0.003131991 0.0005592841 0.00352349 0.0005033557 0.0020134228 0.0028803132 0.0012863535 0.003131991 0.0023769576 0.0011465325 0.0022091724 0.0011185682 0.0015939598 0.0011744966 0.0012583892 0.0021532439 0.0015100671 0.0009787471 0.0030201343 0.004362416 0.0015939598 0.0038590604 0.0032158836 0.0074105146 0.0024888143 0.0025167784 0.004194631 0.0063478746 0.0017897092 0.0009787471 0.0034955258 0.0034116332 0.005480984 0.0045581656 0.0024888143 0.0011185682 0.0063478746 0.006124161 0.006543624 0.0037472036 0.002600671 0.0026565995 0.0024608502 0.0012583892 0.001901566 0.0019574943 0.0019854587 0.0027684565 0.0017897092 0.001090604 0.003271812 0.0017897092 0.0024049217 0.0014541387 0.0012583892 0.0015380313 0.004949664 0.0010067114 0.0012024608 0.0015100671 0.0014261745 0.0014541387 0.00072706933 0.0010626399 0.0018456376 0.00086689036 0.001621924 0.0018736018 0.001621924 0.00086689036 0.0014261745 0.0015939598 0.0013422819 0.0011185682 0.0017897092 0.001370246 0.0023769576 0.0014541387 0.00061521254 0.000810962 0.001621924 0.0076621925 0.0019854587 0.0009228188 0.0014821029 0.0010626399 0.0011744966 0.0008948546 0.0014821029 0.00072706933 0.00078299775 0.001090604 0.0017058166 0.0010067114 0.001090604 0.001090604 0.020833334 0.00072706933 0.0013422819 0.00067114097 0.0020134228 0.0011185682 0.0009228188 0.0013143177 0.0014261745 0.00069910515 0.0004194631 0.000810962 0.0014541387 0.0010626399 0.0012024608 0.00086689036 0.0015659955 0.000950783 0.005033557 0.000950783 0.0043903803 0.001621924 0.0018176733 0.002600671 0.002600671 0.0022651006 0.0020973154 0.0015100671 0.004614094 0.001621924 0.004166667 0.0022371365 0.0020973154 0.0021252797 0.002293065 0.0024328858 0.0030760625 0.0030201343 0.0015100671 0.0025447428 0.0017337807 0.0017058166 0.000810962 0.001090604 0.0017337807 0.0019295302 0.0011744966 0.0010346756 0.0017897092 0.0015100671 0.0012583892 0.0011744966 0.0017337807 0.0015939598 0.0017058166 0.0012304251 0.0015659955 0.0014261745 0.0016778524 0.0015380313 0.0020693513 0.0013982103 0.0009228188 0.0014541387 0.0014821029 0.0009787471 0.0020693513 0.0016498881 0.0017337807 0.0019295302 0.0019854587 0.0015939598 0.0020693513 0.0016498881 0.0012024608 0.0009787471 0.0018736018 0.0014821029 0.0014261745 0.00086689036 0.0010346756 0.07860738 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024399266 0.0010653409 0.00056226325 0.0005918561 0.00036991003 0.00047348486 0.00075461646 0.000118371216 0.00019235323 0.00026633524 0.00031072443 0.00028113162 0.00029592804 0.00023674243 0.00022194603 0.00016276042 0.043812145 0.00020714963 0.0011393229 0.00029592804 0.0010949337 0.0008285985 0.0031812263 0.0015092329 0.00036991003 0.00042909564 0.00069543085 0.00045868845 0.0017015862 0.0011837122 0.0007990057 0.0029000947 0.04384174 0.00075461646 0.0012133049 0.0006510417 0.0008433949 0.00073982007 0.002071496 0.0018495502 0.0006658381 0.00069543085 0.0010505446 0.0007102273 0.002352628 0.00069543085 0.00063624524 0.0018347538 0.050751656 0.00048828125 0.004202178 0.002071496 0.0027965198 0.0021454783 0.01171875 0.006258878 0.00057705963 0.00036991003 0.00026633524 0.00023674243 0.0033291904 0.0011245265 0.000118371216 0.004453717 0.024206912 0.00014796402 0.00026633524 0.0009173769 8.877841e-05 0.00017755682 0.00017755682 0.00036991003 0.0009025805 0.0020862927 0.002470999 0.0025153882 0.002544981 0.0021158855 0.002988873 0.01862867 0.04848781 0.00068063446 0.0013760653 0.0018939395 0.00032552084 0.00056226325 0.0033587832 0.004941998 0.0029592803 0.002574574 0.0026041667 0.0022934421 0.013154001 0.0077237217 0.002544981 0.025730941 0.10184363 0.00633286 0.006969105 0.005785393 0.010268703 0.006569602 0.009514086 0.010756984 0.009528883 0.011038115 0.009262547 0.0060369316 0.0132131865 0.012325402 0.011304451 0.04197739 0.053311434 0.009040602 0.00818241 0.0066435845 0.0075461646 0.0071170693 0.009040602 0.0090553975 0.005667022 0.008064039 0.013819839 0.0018199574 0.0023230352 0.0017163826 0.002175071 0.0059925425 0.0070578833 0.002574574 0.0017607717 0.0018199574 0.0019235322 0.0010061553 0.0013168798 0.0014944365 0.0009173769 0.0017459753 0.0054302793 0.00019235323 0.0012281013 7.398201e-05 0.00026633524 0.0014944365 0.02244614 0.0072058477 0.009410512 0.013523911 0.009706439 0.008581913 0.015062736 0.009410512 0.0052823154 0.0024118135 0.0032552083 0.0030776516 0.0029296875 0.002870502 0.0026189631 0.0034179688 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204.0 18.799019 3835.0 0.044067796 0.0028683182 0.007822686 0.0046936115 0.0057366365 0.0020860496 0.0031290743 0.0005215124 0.003911343 0.0018252933 0.0020860496 0.0010430248 0.003911343 0.00886571 0.020338982 0.019817472 0.035202086 0.014602346 0.011734028 0.020338982 0.006779661 0.006518905 0.0026075619 0.0046936115 0.0026075619 0.010691004 0.009387223 0.0020860496 0.0033898305 0.0057366365 0.0033898305 0.0018252933 0.0023468058 0.022946546 0.006518905 0.010691004 0.032594524 0.0023468058 0.0015645372 0.019035202 0.013559322 0.021642763 0.0015645372 0.00886571 0.0028683182 0.0057366365 0.019295959 0.0007822686 0.020338982 0.0007822686 0.007301173 0.014863103 0.006518905 0.0010430248 0.007301173 0.0052151238 0.015906127 0.006518905 0.0031290743 0.006518905 0.003911343 0.011734028 0.0015645372 0.0033898305 0.0013037809 0.02529335 0.003911343 0.02059974 0.01303781 0.043285526 0.00547588 0.015906127 0.018252933 0.039374184 0.0010430248 0.0031290743 0.01642764 0.020078227 0.027640156 0.020078227 0.010691004 0.0015645372 0.033898305 0.035984356 0.03076923 0.011212517 0.009908736 0.0059973923 0.0075619295 0.003911343 0.0018252933 0.0007822686 0.006779661 0.0007822686 0.0 0.0007822686 5.937766 0.0 13.0 0.0 1.0 35760.0 40960.0 1.0 0.0 16.0 0.0 1.0 1.0 0.0 0.0 1207015700.0 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 -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 1536.0 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 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1536.0 0.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0500274 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7924812 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0934434 0.0 5.5647664 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2333.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1168.0 0.0 24112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 9892.0 24112.0 16384.0 0.0 0.0 5440.0 30208.0 0.0 0.0 28.0 8288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 92.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.01777317 0.004432025 0.004882739 0.0039061913 0.0039061913 0.0040564295 0.0037409293 0.0043418817 0.0034554768 0.0038160484 0.004011358 0.003921215 0.0035756675 0.0035456198 0.0041165245 0.004897763 0.0038761436 0.0043118345 0.0040263818 0.0034254293 0.003680834 0.0035906911 0.004086477 0.0041165245 0.0039512627 0.0034705007 0.0034254293 0.0038160484 0.004011358 0.0037559532 0.0034104055 0.003290215 0.0038310722 0.00417662 0.003530596 0.0042817867 0.0037409293 0.00386112 0.0036357627 0.0037108818 0.0038911675 0.0041615963 0.0037409293 0.0038911675 0.003530596 0.0035606436 0.0036357627 0.0037409293 0.00386112 0.0033653341 0.0035456198 0.003695858 0.0040263818 0.0036658102 0.0037559532 0.0036507866 0.0035155723 0.003921215 0.0035756675 0.0036507866 0.003996334 0.0037409293 0.0042667626 0.0035155723 0.00417662 0.0037108818 0.004041406 0.0038310722 0.0037259057 0.0042216913 0.0038160484 0.0036357627 0.0038010245 0.0040564295 0.0042367154 0.0041615963 0.0039512627 0.0042216913 0.004011358 0.0036507866 0.0036507866 0.0037559532 0.0036658102 0.0041165245 0.0037409293 0.003680834 0.0037559532 0.0042367154 0.0037409293 0.004101501 0.003786001 0.004071453 0.0037409293 0.003605715 0.0037259057 0.003846096 0.003770977 0.0033653341 0.003770977 0.003680834 0.0035756675 0.0038761436 0.0038911675 0.0032301198 0.004732501 0.00417662 0.003786001 0.0039061913 0.003846096 0.004101501 0.0037409293 0.0038911675 0.003305239 0.00417662 0.0037259057 0.004071453 0.003770977 0.00386112 0.0042367154 0.0037409293 0.0040263818 0.0036207389 0.0036658102 0.0037108818 0.0038010245 0.0038160484 0.003921215 0.0036658102 0.0041615963 0.0055137393 0.0036207389 0.004041406 0.0036658102 0.0038310722 0.003605715 0.004086477 0.004041406 0.0042817867 0.0038761436 0.0041615963 0.0038310722 0.004251739 0.0035155723 0.004146572 0.004011358 0.0039061913 0.003305239 0.0036357627 0.003921215 0.0038761436 0.003680834 0.004101501 0.004356906 0.0037559532 0.004041406 0.003530596 0.0032301198 0.0038010245 0.0034104055 0.0037259057 0.003936239 0.0038310722 0.0032751912 0.0036658102 0.003680834 0.0036357627 0.0039512627 0.0033953816 0.003936239 0.0033953816 0.00417662 0.0041916436 0.00386112 0.0032301198 0.0039061913 0.0042367154 0.0033653341 0.0036207389 0.0033953816 0.0034705007 0.0038010245 0.0035456198 0.0034705007 0.0038160484 0.0038310722 0.003846096 0.0034554768 0.0039061913 0.003846096 0.004146572 0.0039512627 0.0033803578 0.0042667626 0.0042216913 0.0042216913 0.003966287 0.003936239 0.0041615963 0.0045522153 0.004146572 0.004071453 0.0033653341 0.0042667626 0.0037259057 0.003680834 0.0039813104 0.004086477 0.0038160484 0.0042817867 0.0035456198 0.003936239 0.0038310722 0.0038310722 0.0042968104 0.0040564295 0.003770977 0.0032601673 0.003996334 0.0035005484 0.004101501 0.0035155723 0.0037409293 0.003770977 0.003770977 0.0038310722 0.0035456198 0.003770977 0.003605715 0.0036207389 0.0037409293 0.003215096 0.003290215 0.0038761436 0.0038911675 0.003786001 0.00417662 0.0036357627 0.0039512627 0.0040564295 0.003530596 0.0041916436 0.00417662 0.0040263818 0.0035155723 0.0038160484 0.003530596 0.0042968104 0.0044470485 0.0038911675 0.0044470485 0.0037559532 0.004071453 0.0037108818 0.0042216913 0.0039061913 0.00449212 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0072402954 0.0005264282 0.00039672852 0.00036621094 0.00051116943 0.0004348755 0.0006713867 0.00051116943 0.0012969971 0.00017547607 0.00025177002 0.00031280518 0.0009384155 0.0005264282 0.0004043579 0.0010604858 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006134033 0.0009918213 0.0009918213 0.0012664795 0.0010375977 0.0012207031 0.001159668 0.0012283325 0.0037994385 0.00061035156 0.0007095337 0.0012741089 0.00340271 0.0018844604 0.0017242432 0.0038146973 0.060066223 0.05885315 0.059913635 0.058540344 0.061943054 0.059814453 0.05961609 0.05962372 0.059768677 0.05983734 0.059913635 0.057670593 0.060562134 0.05922699 0.05782318 0.059951782 306.0 5.748366 1759.0 0.012507106 0.012507106 0.009096078 0.013644116 0.006253553 0.0102330865 0.009664582 0.008527572 0.011370096 0.0102330865 0.011938602 0.0102330865 0.009096078 0.0102330865 0.008527572 0.006822058 0.0102330865 0.0102330865 0.006253553 0.0102330865 0.008527572 0.007959068 0.013075612 0.006822058 0.006253553 0.0102330865 0.006822058 0.0102330865 0.0102330865 0.009664582 0.011370096 0.009096078 0.011938602 0.006822058 0.010801592 0.013075612 0.007390563 0.016486641 0.009664582 0.009096078 0.011938602 0.011370096 0.007390563 0.0102330865 0.007959068 0.011370096 0.01534963 0.005685048 0.011938602 0.006253553 0.014781126 0.012507106 0.011370096 0.007959068 0.007390563 0.008527572 0.007959068 0.012507106 0.010801592 0.008527572 0.010801592 0.008527572 0.007390563 0.0102330865 0.010801592 0.012507106 0.011370096 0.011370096 0.012507106 0.014781126 0.009664582 0.006822058 0.011938602 0.007959068 0.009664582 0.013075612 0.013644116 0.009664582 0.012507106 0.012507106 0.01421262 0.012507106 0.012507106 0.010801592 0.013075612 0.0102330865 0.0102330865 0.011938602 0.011938602 0.011938602 0.010801592 0.006822058 0.009096078 0.009664582 0.015918136 0.01534963 6.545933 0.0 0.0 0.0 3.0 66561.0 73728.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 1288916700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 512.0 512.0 4096.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -66048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9865212 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -69632.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 4240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.24044639 0.008779448 0.0053235516 0.0023193376 0.0037016962 0.0012500052 0.0015777377 0.0012605095 0.0024453884 0.00090336514 0.0027563141 0.0010651306 0.001254207 0.0018508481 0.0006638683 0.00094118045 0.0027920285 0.0012037866 0.0006008429 0.0012058874 0.0007331964 0.0010987441 0.00042227068 0.0005210106 0.00054832164 0.00042647237 0.0005693301 0.00043277492 0.00074159977 0.0005042038 0.0004495817 0.00034033757 0.053454008 0.005722713 0.0039769076 0.00047059022 0.0016197547 0.0033508544 0.00043277492 0.001489502 0.001588242 0.0014222749 0.00038235454 0.0006533641 0.001588242 0.0013067282 0.008216421 0.00071218784 0.005504225 0.0032836273 0.0026764818 0.00143488 0.001239501 0.0014012664 0.00080672605 0.0005672293 0.00086554984 0.000947483 0.0019033693 0.00074580143 0.0011743747 0.0010672314 0.0008991634 0.00042016985 0.004262623 0.002189085 0.00088235666 0.0022269 0.002382363 0.0034495944 0.0014958046 0.0009895 0.0013781571 0.002508414 0.00037395116 0.000640759 0.0015735361 0.0014180732 0.0020000085 0.0016260572 0.0031029542 0.0008466422 0.0033970731 0.0032899298 0.0036323683 0.0017479066 0.0011491645 0.0023487494 0.000556725 0.0010756347 0.00051050633 0.0004663885 0.0014180732 0.0005462208 0.0005903386 0.0023403459 0.00052521226 0.018229067 0.0045168255 0.010363488 0.011714335 0.036271162 0.006256329 0.0049496004 0.009014743 0.01885302 0.0017310997 0.0015945445 0.010581978 0.006298346 0.018932853 0.022378245 0.0063823797 0.00071638956 0.021342527 0.021958075 0.026220698 0.008983231 0.0037143014 0.00353783 0.0016974862 0.0037058978 0.00045588426 0.00032983333 0.001224795 0.0008718524 0.000376052 0.0002731104 0.0023130348 0.00048949785 0.0006323556 0.0016449649 0.00045378343 0.0011764755 0.00046848936 0.00021638746 0.0003844554 0.0010819373 0.00033193416 0.0023739596 0.0003802537 0.0013466444 0.00023529511 0.000264707 0.0012289968 0.00024579934 0.00028151379 0.00020798406 0.000418069 0.00022689172 0.00041176644 0.00034033757 0.00032142992 0.00033403502 0.00020378237 0.00018697558 0.00031092568 0.00024369851 0.00021218577 0.000418069 0.00047689275 0.00037815285 0.0002521019 0.00030462313 0.00028781634 0.0003592452 0.00017437048 0.00020378237 0.00029832058 0.00017437048 0.00019327812 0.00027521123 0.00042016985 0.0003592452 0.0002310934 0.00018487472 0.0012374001 0.0002899172 0.00026890868 0.0002941189 0.00042647237 0.00032142992 0.00037815285 0.0002899172 0.0006386581 0.0002605053 0.0002941189 0.00027521123 0.00031302654 0.0003802537 0.0009243736 0.00046428767 0.0016113513 0.00048949785 0.0006533641 0.0005000021 0.00035714437 0.000598742 0.00038235454 0.0005126072 0.00041596813 0.00038655623 0.00020588322 0.00019117727 0.0009684915 0.00026890868 0.0005546242 0.00017226963 0.0008277346 0.00029832058 0.0002605053 0.00017226963 0.0002731104 0.0005903386 0.00041596813 0.00030042144 0.00035084182 0.00025420275 0.00019958067 0.00024369851 0.00021638746 0.00020588322 0.00018067303 0.00022899256 0.00043697664 0.00014705944 0.00018907643 0.00020588322 0.0003718503 0.00017016879 0.00014916029 0.00019327812 0.0011176517 0.00032353078 0.00020378237 0.00045378343 0.00057143095 0.00028151379 0.00057353184 0.00016806793 0.00052521226 0.0002563036 0.00018487472 0.00029201803 0.00027100954 0.0002731104 0.00037815285 0.00043487578 0.00067857426 0.0006743726 0.0005462208 0.0002773121 0.0005756327 0.00031092568 0.00046428767 0.2031248 0.09938791 2.1092062e-06 1.0546031e-06 0.0 2.1092062e-06 0.0 7.382222e-06 1.0546031e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18785541 0.0041783378 1.5819047e-05 7.382222e-06 8.436825e-06 2.3201268e-05 8.436825e-06 5.2730156e-06 8.436825e-06 3.1638094e-06 7.382222e-06 0.0 6.327619e-06 3.1638094e-06 7.382222e-06 1.1600634e-05 2.5310475e-05 0.004148809 3.37473e-05 3.2692697e-05 2.8474284e-05 2.9528888e-05 2.1092063e-05 2.003746e-05 2.2146665e-05 1.7928252e-05 2.2146665e-05 2.1092063e-05 3.4801902e-05 1.8982857e-05 2.6365078e-05 1.8982857e-05 0.001982654 0.001958398 3.37473e-05 2.8474284e-05 1.0546031e-06 3.1638094e-06 0.0 2.1092062e-06 6.327619e-06 6.327619e-06 3.691111e-05 1.2655238e-05 2.1092062e-06 9.4914285e-06 2.7419681e-05 1.7928252e-05 1.37098405e-05 0.0020111282 5.2730156e-06 1.687365e-05 1.0546031e-05 0.000109678724 0.0001012419 0.00017717332 0.00013920761 1.0546031e-06 2.1092062e-06 1.0546031e-06 1.0546031e-06 3.1638094e-06 3.1638094e-06 0.0 0.0017369314 0.0064963554 7.2767616e-05 8.964127e-05 4.9566348e-05 0.00085422857 0.0005673765 0.00015608127 7.2767616e-05 4.5347933e-05 6.327619e-06 1.4764444e-05 1.0546031e-05 3.2692697e-05 1.7928252e-05 4.007492e-05 0.000112842536 0.003680565 0.00012127936 0.0060144016 0.00018139173 0.00042922347 0.0005905778 0.017132027 0.008110953 4.5347933e-05 6.74946e-05 2.9528888e-05 3.1638094e-05 3.691111e-05 3.058349e-05 4.3238728e-05 0.0001719003 0.010664147 0.00031954475 0.03479663 0.005165446 0.0027894252 0.003887267 0.080850095 0.040863764 0.00012022476 0.00013709841 0.00011178793 0.00018877396 0.00011811555 0.00012444316 0.00011811555 0.0011706095 0.0297493 0.0011126063 0.02797124 0.0066482183 0.0050504943 0.0051781014 0.04934277 0.02702526 0.0010778044 0.00049039046 0.00041656825 0.00054944825 0.00045137014 0.00026154157 0.0002320127 0.0021102608 0.027958583 0.0014437517 0.0077175857 0.002787316 0.006130408 0.0057496964 0.0183058 0.012278744 0.0010250743 0.00028579746 0.00022146666 0.00046718918 0.00037649332 0.00027841522 0.00021619364 0.001150572 0.050570328 0.0034137503 0.004870157 0.003053076 0.0061652097 0.003823991 0.008771135 0.006738914 0.0031469357 0.002115534 0.0013636019 0.0030731135 0.0028484832 0.0021092063 0.001488045 0.002280052 0.019942544 0.0018297364 0.0018719205 0.0029244146 0.0028737935 0.0015618672 0.0034316785 0.0022252125 0.0013657111 0.0013382913 0.0009385968 0.0010967873 0.0010451117 0.0008563377 0.0009048495 0.0011495174 0.0023686385 0.00026259618 0.00049882726 0.0001719003 0.0003005619 0.00031005332 0.0006654546 0.0006527993 0.00028896125 0.00010440571 8.331365e-05 9.807809e-05 0.00012655238 8.436825e-05 0.00018561014 0.0002773606 0.0073864404 0.0018518831 0.0013920761 0.0019257054 0.0023718025 0.0029507796 0.0016061605 0.0018466101 0.003624671 0.0004376603 0.00055261207 0.00076142343 0.0018856304 0.00057264953 0.0009871086 0.004404023 0.0059078867 0.0019626163 0.0012170121 0.001825518 0.0022199396 0.0022568507 0.0021503358 0.0019573434 0.0029729262 0.00048300825 0.0007382222 0.00069076504 0.0012602507 0.0005758133 0.0012486501 0.0027704425 0.0002995073 0.00014026221 0.0001697911 0.00022357586 0.00010546031 0.00010546031 0.00026786918 0.00021935745 0.00010440571 7.909523e-05 8.6477456e-05 6.74946e-05 8.2259045e-05 6.327619e-05 6.222158e-05 8.331365e-05 4086.0 45.229076 184806.0 0.13494691 0.013960586 0.0093503455 0.00025973184 0.00019479886 0.007548456 0.00012445483 0.0026135514 0.0025594407 0.0022834756 0.000113632675 0.00024890967 0.0030789045 0.0024890967 0.020129217 0.0011958486 0.011633822 0.0066069285 0.005557179 0.001488047 0.0019533997 0.0023429976 0.0008603617 0.00037877558 0.0005952188 0.0005140526 0.0038039892 0.00050323043 0.0015151023 0.0017531898 0.0015475688 0.00033007585 0.0006601517 0.0041773533 0.0011579711 0.0043667415 0.0031167818 0.0060874647 0.0022834756 0.0013419478 0.0014718137 0.004572362 8.1166196e-05 0.00077919546 0.0024890967 0.0022185426 0.003528024 0.0030356157 0.0042476975 0.00022185426 0.0052758027 0.0057465667 0.007591745 0.0024945077 0.0011146824 0.0041773533 0.0005140526 0.0013960586 0.00016233239 0.00046535284 0.002240187 0.00045994177 0.0001569213 0.0040799542 9.739943e-05 0.045826435 0.01112518 0.025415841 0.02580544 0.0912308 0.014804714 0.011774509 0.021168144 0.04682207 0.0008008398 0.0032845254 0.025588997 0.015069857 0.04745517 0.05611831 0.014945402 0.0010984492 0.05296906 0.054208197 0.060647383 0.020524226 0.008414229 0.007207558 0.003387336 0.008609028 0.00060604094 0.00030302047 0.000119043754 0.0002651429 7.034404e-05 4.3288637e-05 5.0160193 73.0 13.0 1.0 3.0 475998.0 32768.0 0.0 0.0 55.0 0.0 1.0 0.0 0.0 0.0 1280658800.0 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 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 2.0 50.0 4.0 0.0 4.0 0.0 12800.0 1024.0 4096.0 6.0 1.0 0.0 3.0 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 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.18415065 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.9906063 0.0 0.0 0.0 0.0 -4.829645 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1421833 0.0 4.1274257 0.0 0.0 0.0 0.0 0.0 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 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 -4096.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 20604.0 700.0 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 20988.0 0.0 0.0 0.0 0.0


Input: 0.22709477 0.026706105 0.019400863 0.01342807 0.007662466 0.008598394 0.0049332706 0.003265032 0.007312386 0.004965421 0.002711334 0.0019254402 0.0018111282 0.0053976625 0.0014789095 0.008948474 0.004772519 0.0015253486 0.0011038238 0.0011824131 0.0019611625 0.013881745 0.0011216849 0.0010752458 0.0028970907 0.0015967935 0.00096807844 0.00074302696 0.0010359511 0.0017896948 0.0009930842 0.0012038465 0.009491455 0.0017682613 0.000932356 0.0007037323 0.015542839 0.0023005258 0.0011645519 0.0008394776 0.0032043038 0.0011752687 0.0009966564 0.0017932671 0.001078818 0.0010430956 0.0017861226 0.0011645519 0.0076588932 0.0017289666 0.0025041439 0.0077517717 0.0017932671 0.0011716963 0.0007680327 0.0010859625 0.002725623 0.0011716963 0.0013967478 0.0018682842 0.0012717192 0.0023683985 0.0007930384 0.00078946614 0.004854681 0.010609568 0.0018968622 0.0030399805 0.009816529 0.0065372083 0.0014360425 0.0011288294 0.047764488 0.0049761375 0.0008644833 0.0012645747 0.01008802 0.0031864427 0.0019861683 0.0014574759 0.0056762975 0.00078589394 0.0013503087 0.002725623 0.0037365684 0.002536294 0.0011859854 0.0019254402 0.0017575446 0.0006965878 0.0009502172 0.0013395919 0.0032043038 0.0013360197 0.000918067 0.0019147233 0.0023648262 0.0033757717 0.0010895347 0.0035115168 0.0032114484 0.00766961 0.0027041896 0.0013431641 0.002479138 0.0044974564 0.0006822988 0.00105024 0.0037258517 0.0016825275 0.0037115626 0.0038151578 0.0036186844 0.0006394319 0.0051797554 0.0033293325 0.010188043 0.0045260345 0.0012074189 0.0023719708 0.0019897404 0.0018397062 0.00095378945 0.0011681241 0.0019075789 0.0012502858 0.00085733883 0.0010859625 0.007315958 0.0028685129 0.0016718108 0.0072659464 0.0040866486 0.006033522 0.0014824817 0.001253858 0.00259345 0.0104381 0.00079661066 0.029488884 0.0013217307 0.015389232 0.00073231023 0.0010038009 0.0016003659 0.0004822531 0.0005465535 0.000889489 0.0011252572 0.0009787951 0.000567987 0.00062871515 0.0009895118 0.0005644147 0.0006501486 0.00058942044 0.0009966564 0.0006037094 0.0005215478 0.0005501257 0.001603938 0.0005644147 0.0007215935 0.00052869227 0.0008394776 0.0006572931 0.0006894433 0.00053583673 0.000932356 0.0006394319 0.0008787723 0.0006072817 0.0010359511 0.0004965421 0.00088591676 0.00064300414 0.0015789323 0.0010180898 0.00055727025 0.000567987 0.0007680327 0.0004751086 0.0021076247 0.0013181585 0.003997342 0.0034329274 0.004883259 0.0007215935 0.0008001829 0.00057155924 0.0006251429 0.00080375513 0.007958962 0.0023219592 0.0012574303 0.0037437128 0.0030792754 0.0009645062 0.0033150434 0.0035722451 0.0038758859 0.0041366597 0.0009073503 0.0026577504 0.017943388 0.0010466678 0.0016253715 0.0026184556 0.0018182728 0.0009752229 0.0023433927 0.001253858 0.00075731595 0.0007073045 0.0009073503 0.0011145405 0.0014824817 0.0011609796 0.0006179984 0.0011681241 0.0007537437 0.0005787037 0.00053583673 0.0006501486 0.001821845 0.00075731595 0.0006501486 0.0007073045 0.00086805556 0.00044653064 0.00055727025 0.0006215706 0.008887745 0.0032007317 0.0009966564 0.0025755886 0.0023934043 0.0006930155 0.0005965649 0.00070016005 0.0023541094 0.0008001829 0.00085733883 0.00066086533 0.000932356 0.00054298126 0.0013681699 0.0011038238 0.002214792 0.0011788409 0.0013288752 0.0013074417 0.0010395233 0.0014539037 0.0024969992 0.036222566 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011846206 0.0002746582 0.00024234547 8.078182e-05 0.00010950425 0.00010411879 0.00035364486 0.00018131032 0.0005852194 0.00012566062 7.0010916e-05 9.693819e-05 0.00017233456 0.00019387637 0.00012566062 0.00014361214 0.010858872 0.0002046473 0.00011309455 0.00014899758 0.00013822668 0.00014361214 0.00024414062 0.0007036994 0.00064445945 0.000118480006 0.0006588207 8.975758e-05 0.0001597685 0.0001561782 0.0001669491 0.0001561782 0.047318403 0.000994514 0.0019800523 0.0014971565 0.0017610438 0.0022313735 0.0052364576 0.002755558 0.0020321116 0.00021721335 0.00021003274 0.00017233456 0.0005726534 0.00019208122 0.00021362305 0.0024683336 0.016414866 0.0008473116 0.00083833584 0.00091911765 0.00057444855 0.00057444855 0.0015456256 0.0011201747 0.00063727883 0.00017053941 0.00014720243 0.00010232365 0.00028542912 0.00018490062 0.00015258789 0.0012207031 0.03305772 0.0021164839 0.0018274644 0.002308565 0.0021990607 0.002012365 0.005719353 0.004733815 0.0013589298 0.00052597944 0.0010501638 0.000438017 0.0011848 0.0007611443 0.00064804975 0.0025580912 0.022816377 0.0011919807 0.00355081 0.0024324304 0.0045991787 0.0038308536 0.01237757 0.0072398465 0.00071088003 0.00038057216 0.00027286305 0.00024773093 0.00045596852 0.00047392002 0.000615737 0.0013032801 0.018852683 0.0011578728 0.0016910329 0.0013068704 0.0037446863 0.0018597771 0.0034951603 0.0023516486 0.0024916704 0.0007360122 0.00049546186 0.0009101419 0.002130845 0.0005906049 0.0009406595 0.0013625202 0.043245204 0.0059096394 0.0055326573 0.0049528233 0.015623204 0.002475514 0.0026245117 0.0030122644 0.014079374 0.0016676959 0.0016425637 0.0045955884 0.00858262 0.0019226074 0.0036872416 0.00912296 0.13029031 0.021227669 0.024819767 0.01811667 0.07777853 0.015657313 0.009142707 0.015637565 0.067474365 0.006072998 0.0054393094 0.015334185 0.044740565 0.0101767145 0.01775764 0.035039566 0.008724437 0.002755558 0.003184599 0.0036710852 0.0031863942 0.0021613627 0.004500445 0.003184599 0.0028704475 0.0012009564 0.0012027516 0.001195571 0.0019351735 0.0011578728 0.0014361213 0.0017502728 0.002105713 0.0011255601 0.0011614631 0.0013176413 0.0015851189 0.00095681584 0.0014020135 0.0010681152 0.0011578728 0.00096399646 0.0010178509 0.0010591395 0.0009011661 0.0009765625 0.0007413976 0.00084192614 1290.0 14.311628 18462.0 0.046744663 0.00064998376 0.0007583144 0.00054165313 0.012458022 0.005524862 0.00092081033 0.0007041491 0.002599935 0.0018957859 0.0010291409 0.0012999675 0.0017874553 0.004008233 0.013216336 0.006283176 0.021991117 0.008991442 0.008720615 0.012566352 0.001570794 0.0025457698 0.0020041165 0.0030332576 0.0040623983 0.002274943 0.0053082006 0.0014624634 0.00097497564 0.00064998376 0.00016249594 0.0016791247 0.006554003 0.028490955 0.0040623983 0.017766222 0.010508071 0.017874554 0.005145705 0.004549886 0.013108006 0.00785397 0.00027082657 0.0025457698 0.009370599 0.005145705 0.006066515 0.0030874228 0.009153938 0.0007041491 0.008503954 0.018524537 0.016141264 0.010183079 0.0061748456 0.008883111 0.0022207778 0.0012999675 0.0036290758 0.001570794 0.0061748456 0.0041165636 0.0037915718 0.0118622035 0.001570794 0.033203337 0.0054706964 0.025511863 0.018362042 0.07913552 0.01029141 0.008991442 0.013216336 0.036561586 0.00032499188 0.0031957536 0.02692016 0.013649658 0.035207454 0.03802405 0.016466254 0.00097497564 0.047015492 0.027461814 0.06077348 0.015437114 0.0057956884 0.01711624 0.00774564 0.012349691 0.0019499513 0.0007041491 0.0012458022 0.00032499188 0.00016249594 0.0010833063 5.6850843 0.0 30.0 0.0 3.0 279936.0 487424.0 1.0 12.0 267.0 1.0 1.0 1.0 0.0 0.0 1528417200.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 2.0 5.0 2.0 183808.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 44032.0 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 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -183808.0 0.0 23552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.808563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7584305 0.0 0.0 0.0 0.0 5.4998794 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5999403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.25832 0.0 3.5298977 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1780.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 43682.0 0.0 0.0 0.0 0.0 7716.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -213464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -183643.0 0.0 23352.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 1.0 0.0 1.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 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 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 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 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 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 -2.0 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 1.0 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 -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 -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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 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 -1.0 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 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 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 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 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 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 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 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 -1.0 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 -1.0 -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 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 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 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -2.0 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 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 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 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 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 338.0 231760.0 320.0 224408.0 23352.0 458752.0 7716.0 450560.0 12672.0 267264.0 672.0 483328.0 28.0 190768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2256.0 188416.0 0.0 0.0 0.0 0.0