Input: 0.26944166 0.0376486 0.043447327 0.017585158 0.038642958 0.012133949 0.036040377 0.011347595 0.011455402 0.0075540715 0.046985917 0.009849718 0.008115934 0.0076162186 0.005655407 0.0070315264 0.006384687 0.022849925 0.0053154994 0.01757501 0.0057302373 0.004082699 0.010188357 0.00691611 0.0039317696 0.00238316 0.0032418077 0.0038455245 0.0031035615 0.0020990577 0.0021675467 0.0026063828 0.0017020758 0.0029323392 0.0038810372 0.0017413936 0.0010121136 0.0038277681 0.003364834 0.0007368898 0.02235782 0.0009994305 0.010686805 0.0120185325 0.0061069266 0.0030020964 0.0013989491 0.0010247967 0.006725863 0.0010463581 0.0010628462 0.001480121 0.000847233 0.0007115235 0.0013127038 0.00080664695 0.0021675467 0.0011947507 0.0011376766 0.00058722886 0.00071786507 0.00113514 0.0010653829 0.0013811927 0.0009816742 0.0008586478 0.0016437335 0.000968991 0.0007001087 0.00068742555 0.000701377 0.00066332764 0.0007685976 0.00072674325 0.00065444945 0.0007521095 0.00088401407 0.00074703625 0.0008751359 0.00056820415 0.001382461 0.0007838173 0.0007571828 0.0006316198 0.0007495729 0.0007838173 0.0014192421 0.0007571828 0.0037148884 0.002148522 0.0026292126 0.0012645079 0.00094108813 0.00079523213 0.00072674325 0.00093220995 0.00082440337 0.00077367085 0.0007724025 0.00059483876 0.00064683956 0.00093981985 0.0011262618 0.0006899622 0.0007635243 0.0012226535 0.0010717243 0.0013634363 0.0010438215 0.00076479267 0.00078508566 0.014813894 0.004001527 0.0007165968 0.0040586013 0.0054943315 0.0012328001 0.0010260651 0.0006519128 0.0006645959 0.000681084 0.0005656675 0.0010958223 0.018697469 0.002440234 0.008122276 0.0032443444 0.00074703625 0.003154294 0.0024782834 0.0005859605 0.00073435315 0.0008155252 0.00063542475 0.0036590826 0.0009195268 0.0010603096 0.0006582544 0.00070264534 0.00057581405 0.0016234404 0.001256898 0.0019227623 0.00085737946 0.0008497696 0.001114847 0.00076479267 0.0006011803 0.00075845106 0.0006975721 0.0019392504 0.0005732774 0.0009144536 0.0012936791 0.0011173836 0.00064303464 0.00066713255 0.0006214733 0.00082567165 0.0005910338 0.00090050214 0.00057200907 0.0015295853 0.00060752186 0.00085357454 0.0007204017 0.0006290832 0.0007635243 0.00056820415 0.0006531811 0.0005935704 0.00055932597 0.00070771854 0.0006227416 0.0006899622 0.0005694725 0.0006582544 0.0006011803 0.00054030126 0.0005415696 0.0006125951 0.0007115235 0.00055552105 0.0004921054 0.0006049852 0.0009258684 0.0008282083 0.00056820415 0.0005504478 0.00068235234 0.0004908371 0.0005834239 0.00055552105 0.00053776463 0.0007191334 0.00060625357 0.00087640417 0.0004997153 0.0014496816 0.00077367085 0.00060752186 0.00076606096 0.00059483876 0.0007444996 0.0007089869 0.0006798157 0.0006684009 0.0005326914 0.0009144536 0.0005707408 0.0009537713 0.00057708233 0.00097279594 0.00080537866 0.00079776876 0.0007102552 0.0008992338 0.0007965005 0.00071532844 0.00071406015 0.0009854791 0.0006899622 0.001480121 0.00085737946 0.0006176684 0.0008497696 0.0005783507 0.0006772791 0.00088020915 0.0007394264 0.0011161154 0.00082947663 0.0007990371 0.00054917944 0.0006316198 0.0005707408 0.0005732774 0.0006024486 0.00046673912 0.00075845106 0.00067854737 0.0005859605 0.0005897655 0.00048195888 0.00067854737 0.00056820415 0.0006049852 0.000535228 0.00069376716 0.0005973753 0.00061893667 0.00059610704 0.00064303464 0.00079523213 0.008159056 0.0016881244 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0009212494 8.583069e-05 9.0281166e-05 2.9881796e-05 3.8146973e-06 4.0690105e-05 7.8837074e-05 2.0345053e-05 9.536743e-06 6.357829e-07 1.2715658e-06 6.357829e-07 1.2079875e-05 0.0 0.0 6.993612e-06 0.023642221 0.0033740997 0.0031700134 0.00081761676 0.00028737387 0.00046539307 0.0008907318 0.0016841888 0.00036366782 0.00019073486 0.00015894572 0.00016148885 0.00027402243 0.00031471252 0.00012906392 0.0005340576 0.17022641 0.02535057 0.025694529 0.006629308 0.0031159718 0.0053621926 0.0078646345 0.0141124725 0.004160563 0.00223732 0.0023663838 0.0020389557 0.0018558502 0.0026810963 0.0017674764 0.0044841766 0.267341 0.05234337 0.03682391 0.010386149 0.005768458 0.009334564 0.014445622 0.027701696 0.009637197 0.0061124167 0.005086263 0.0046157837 0.005186081 0.00619634 0.0052858987 0.008995692 0.10124525 0.018257141 0.010165532 0.0050525665 0.003610611 0.0041923523 0.0043118796 0.009221395 0.0069179535 0.005080541 0.0036760967 0.0029067993 0.0037237804 0.0039100647 0.0037377675 0.004094442 0.0070877075 0.0030612946 0.00097020465 0.000445048 0.0003859202 0.0009295146 0.0006319682 0.0007966359 0.0005645752 0.0003668467 0.00025812784 0.00023523967 0.00017738342 0.00034713745 0.00030326843 0.00036621094 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 102.0 5.6372547 575.0 0.026086956 0.008695652 0.008695652 0.019130435 0.0017391305 0.012173913 0.010434783 0.0017391305 0.026086956 0.006956522 0.029565217 0.019130435 0.008695652 0.008695652 0.033043478 0.0017391305 0.006956522 0.0017391305 0.0052173915 0.0 0.0 0.0052173915 0.0 0.003478261 0.0 0.0017391305 0.0 0.0 0.0017391305 0.006956522 0.003478261 0.029565217 0.008695652 0.0052173915 0.010434783 0.034782607 0.006956522 0.0017391305 0.006956522 0.0017391305 0.0 0.003478261 0.0017391305 0.0 0.006956522 0.006956522 0.003478261 0.0052173915 0.0052173915 0.0 0.0017391305 0.0052173915 0.0052173915 0.019130435 0.006956522 0.0 0.052173913 0.03652174 0.064347826 0.0626087 0.0017391305 0.003478261 0.0017391305 0.0052173915 0.003478261 0.003478261 0.008695652 0.0052173915 0.0017391305 0.006956522 0.015652174 0.003478261 0.0052173915 0.034782607 0.0052173915 0.020869566 0.006956522 0.003478261 0.008695652 0.022608696 0.0017391305 0.0 0.029565217 0.04695652 0.006956522 0.0017391305 0.006956522 0.0 0.0017391305 0.0 0.0 0.0017391305 0.003478261 0.033043478 0.012173913 0.033043478 5.6177135 0.0 0.0 0.0 1.0 788449.0 1581056.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1457963400.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 4.0 0.0 1549312.0 512.0 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 -1549312.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5893497 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1549276.0 0.0 704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1557290.0 704.0 1564672.0 0.0 0.0 0.0 0.0 12.0 1572864.0 28.0 1557180.0 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: 0.194503 0.0078854915 0.018058266 0.03752187 0.02660016 0.036645703 0.032447048 0.048281644 0.04325309 0.017919468 0.031828236 0.012610424 0.024419865 0.0016973903 0.0004106123 0.0006101352 0.0033485144 0.00026024724 0.0004510952 0.0003441047 0.00051181955 0.0006419432 0.0024665655 0.00059856864 0.00028916358 0.00024868068 0.00026603052 0.00021398105 0.0005349527 0.0021658354 0.00024578907 0.00013012362 0.00092821516 0.000104098894 0.0003701294 0.0004337454 0.00083279115 0.000850141 0.0021889685 0.00019084798 0.0003441047 0.00021976433 0.00034699633 0.00039326248 0.00033253813 0.00022265597 0.000563869 0.0021224609 0.001350394 0.00039615412 0.00034121305 0.0005898937 0.0004019374 0.00035567122 0.00038169595 0.00019952288 0.00054362754 0.00044820356 0.00205017 0.00035567122 0.0002342225 0.00047133665 0.00018795634 0.00032386323 0.0032068242 0.0008559242 0.00044820356 0.00043663703 0.0030362178 0.0013156943 0.002446324 0.00063905155 0.0003383214 0.00039037084 0.0002168727 0.00017349816 0.00017349816 0.0006217017 0.00036434614 0.00030940503 0.0008212246 0.00037591267 0.00030073014 0.0011682209 0.00037591267 0.0005551941 0.000977373 0.00080098317 0.0009947227 0.0012520783 0.0010352057 0.0009831563 0.0014400347 0.0013446107 0.0020675196 0.0018882382 0.0016106413 0.0030073014 0.0022699342 0.002605364 0.0022786092 0.0027123545 0.0015875081 0.0017725729 0.0019431794 0.003154775 0.0016395575 0.0014429264 0.0019605292 0.0017407648 0.0023769247 0.002151377 0.0020328201 0.0014544929 0.00266898 0.0028858527 0.0032559822 0.0022034266 0.001596183 0.0016684739 0.0014516013 0.0014891925 0.0012173788 0.0018651052 0.0018014892 0.001318586 0.0021398107 0.0012665365 0.0014978674 0.0011421962 0.0020270369 0.0016077496 0.0014313598 0.0011971373 0.0011942456 0.0011537627 0.0011566543 0.0016858238 0.0010930384 0.002723921 0.0010554472 0.0018014892 0.0009947227 0.0010814718 0.0013475023 0.0010641221 0.0011421962 0.0012173788 0.0012115955 0.0011393046 0.0025012651 0.0012491867 0.0012838864 0.0010756885 0.0010641221 0.0011161715 0.0012665365 0.0010496639 0.0010814718 0.0010988216 0.0012318369 0.0015296754 0.0015875081 0.0012173788 0.0011740042 0.0011132798 0.0011768958 0.0011103882 0.0013793104 0.0012000289 0.0013677438 0.0013648522 0.0015210005 0.001500759 0.0015701583 0.0014544929 0.0015788332 0.0015383504 0.0016366659 0.0012520783 0.001159546 0.0011103882 0.0011711125 0.0011074966 0.0012723198 0.0010612304 0.0011566543 0.0010930384 0.0010467722 0.0010352057 0.0011103882 0.0010583388 0.00249259 0.0013417191 0.0013735271 0.0012578616 0.0011797874 0.00094556494 0.0013012362 0.0011768958 0.0011190631 0.0011248464 0.001072797 0.00093978166 0.0019200463 0.0010236391 0.0010091809 0.0009889395 0.001350394 0.0009744813 0.0009744813 0.00088773225 0.0008964071 0.0008241162 0.00090508204 0.00085881585 0.000850141 0.00080676645 0.00078652496 0.00078652496 0.00080676645 0.0007171257 0.00084724935 0.0008154413 0.0013070195 0.000691101 0.00080098317 0.0007489337 0.0008559242 0.00073447556 0.0007951999 0.0007720668 0.0016077496 0.00087905733 0.0007980915 0.0010467722 0.0009715897 0.0007489337 0.00088773225 0.001445818 0.0012723198 0.0010149642 0.00083857443 0.00073736714 0.00082700787 0.0007084508 0.0006766428 0.0007807417 0.00076050026 0.0005407359 0.0004742283 0.00036434614 0.000563869 0.00019952288 0.00033253813 0.19441047 0.05346244 6.3941596e-05 0.0 0.0 5.812872e-06 4.359654e-06 2.3251489e-05 1.0172526e-05 0.0 0.0 0.0 0.0 1.453218e-06 0.0 0.0 0.0 0.011252267 0.00031680154 2.906436e-06 1.453218e-06 0.0 0.0 1.453218e-06 0.0 4.359654e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.00032552084 0.007949103 0.00050281343 7.411412e-05 5.812872e-05 0.00015258789 2.7611142e-05 1.0172526e-05 4.359654e-06 5.5222285e-05 7.26609e-06 1.453218e-05 7.26609e-06 1.3078962e-05 5.812872e-06 2.906436e-05 1.7438617e-05 0.017254058 0.0018644787 0.00077747164 0.00012788319 9.1552734e-05 6.975447e-05 9.4459174e-05 7.702055e-05 8.428664e-05 7.411412e-05 5.3769065e-05 5.3769065e-05 5.086263e-05 4.7956193e-05 5.231585e-05 5.9581937e-05 0.025472006 0.0007527669 0.0010041737 0.000806536 0.00081089564 0.0015040806 0.00079636346 0.001159668 0.00011189779 3.3424014e-05 2.0345053e-05 2.3251489e-05 3.1970798e-05 2.0345053e-05 2.906436e-05 0.0001613072 0.0091814315 0.0002179827 0.00022524879 0.00013224284 0.00011480422 0.00021943593 0.0004286993 0.000566755 0.00043305897 5.231585e-05 3.9236886e-05 3.1970798e-05 4.7956193e-05 4.6502977e-05 4.7956193e-05 0.00011916387 0.045815606 0.0008472261 0.00038364955 0.000226702 0.0002659389 0.004817418 0.011913481 0.0007513137 0.00035894485 1.5985399e-05 5.9581937e-05 0.00012788319 0.00019473121 0.00011189779 0.00021071661 0.01723226 0.13267735 0.0016741072 0.0012425014 0.0006786528 0.0012701126 0.0039832704 0.010397775 0.013958159 0.0048610144 0.00032116118 0.0027916317 0.003852481 0.003925142 0.0040283203 0.00541905 0.06784784 0.19215176 0.0029355003 0.0020839146 0.0013253348 0.003525507 0.000646682 0.0020504906 0.0055076964 0.010224842 0.015383766 0.016470773 0.01356143 0.012051537 0.008239746 0.0064828056 0.10616775 0.010025751 0.0003226144 0.00017438616 0.00021362305 0.0002339681 0.00015549433 0.00013514927 0.0003880092 0.00089954195 0.0010550363 0.00054641 0.0004039946 0.00047810873 0.00033714657 0.00037202382 0.005092076 0.017938523 0.00065685454 0.0011044457 0.0013006302 0.0024414062 0.0012860979 0.003705706 0.0036097935 0.00081089564 0.0011175247 0.00078619097 0.00060744514 0.0012090774 0.0004970006 0.00052751816 0.0040675574 0.001546224 0.00011044457 0.00038219633 0.00031244187 0.00074840727 0.0002993629 0.00093877886 0.00077892485 0.0001366025 0.00056094216 1.5985399e-05 2.7611142e-05 1.8891835e-05 2.7611142e-05 2.4704706e-05 2.3251489e-05 0.002399263 0.00014386859 0.0003240676 0.00019763765 0.0004679362 0.00020345052 0.00025576638 0.00022379558 0.00031098866 0.0002572196 8.573986e-05 6.3941596e-05 0.0003153483 7.992699e-05 0.00015985398 0.00046357655 0.0032668342 0.0007178897 0.0009242467 0.0009300595 0.0024646576 0.0011393229 0.0010652088 0.0013616653 0.00218564 0.0004098075 0.00011480422 0.00013078962 0.00071207684 0.00015840077 0.0006786528 0.0015970865 0.005218506 0.0014343262 0.0014154343 0.0019255138 0.0022423153 0.0018804641 0.0021318707 0.0018019903 0.0022408622 0.000579834 0.00051153277 0.00046938943 0.0012192499 0.00047520228 0.0010419573 0.0021972656 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 577.0 17.306759 9986.0 0.015621871 0.00070098136 0.0060084118 0.006208692 0.012116964 0.008211496 0.0017023834 0.0023032245 0.0017023834 0.00090126175 0.0044061686 0.0057079913 0.0060084118 0.0053074304 0.013318646 0.0052072904 0.021129582 0.007510515 0.006308832 0.0061085518 0.00510715 0.0024033647 0.0034047668 0.00090126175 0.006208692 0.002503505 0.003104346 0.0033046266 0.003104346 0.0030042059 0.0030042059 0.008712197 0.023032244 0.017524535 0.0070098136 0.0068095336 0.08181454 0.008111356 0.0058081313 0.014119768 0.0024033647 0.009713599 0.0037051872 0.003605047 0.0018025235 0.0061085518 0.0069096736 0.0068095336 0.008912478 0.004606449 0.0035049068 0.009212898 0.006208692 0.0022030843 0.007109954 0.0015021029 0.007210094 0.003104346 0.0033046266 0.0008011216 0.010614861 0.003605047 0.00050070096 0.013819347 0.0030042059 0.031744443 0.010614861 0.026737433 0.022631684 0.042559583 0.00510715 0.01572201 0.01031444 0.035449628 0.00050070096 0.0027037852 0.021129582 0.013118366 0.03204486 0.02473463 0.019627478 0.0012016824 0.038854398 0.029941918 0.04155818 0.009112758 0.004606449 0.014119768 0.0057079913 0.008812337 0.0022030843 0.0001001402 0.017424393 0.0001001402 0.033246547 0.002503505 5.8612843 0.0 13.0 0.0 3.0 345825.0 339968.0 1.0 0.0 105.0 0.0 1.0 1.0 0.0 0.0 1161596900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 12288.0 4096.0 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 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 299008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.1857524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.768358 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.391288 0.0 5.106776 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16418.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1868.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10766.0 0.0 298600.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 29444.0 298600.0 40960.0 0.0 0.0 5744.0 339968.0 0.0 0.0 28.0 16864.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 27656.0 0.0 0.0 444.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.0046485695 0.003933743 0.0038864547 0.0039689345 0.0038369668 0.0038314683 0.0039260453 0.0038644602 0.0038622606 0.0039854306 0.003950239 0.003849064 0.0039700344 0.003889754 0.0039447406 0.0038655598 0.00394804 0.0040019266 0.0038655598 0.003922746 0.0038380665 0.0039733336 0.004087706 0.0039271447 0.0038292687 0.003976633 0.0038754574 0.0038556622 0.0039249454 0.0039898297 0.0038864547 0.0038171716 0.0038512633 0.0039007512 0.0038721582 0.003996428 0.0038600613 0.0039535384 0.00394694 0.0038754574 0.003965636 0.0039777327 0.0038523632 0.0038908538 0.003909549 0.003933743 0.0039876304 0.004053614 0.0039161476 0.003935943 0.0039018511 0.0039051503 0.0038369668 0.0038391664 0.0038138726 0.0039414414 0.0038424656 0.0039205467 0.0039084493 0.003844665 0.00390735 0.0038787567 0.003976633 0.0038534629 0.0036863035 0.0039623366 0.003910649 0.0039029508 0.0038556622 0.003921646 0.0040041264 0.003934843 0.003819371 0.0038710586 0.003922746 0.0039161476 0.003876557 0.0038787567 0.0039029508 0.0038050746 0.0039282446 0.0038017754 0.0039205467 0.0038864547 0.003868859 0.0039854306 0.003889754 0.0039535384 0.0039425413 0.0038061743 0.003931544 0.0038963524 0.003894153 0.0039293445 0.0038017754 0.0040327194 0.004017323 0.003951339 0.003918347 0.004115199 0.0039414414 0.003931544 0.0039436407 0.0039249454 0.003931544 0.0038501637 0.0039403415 0.0038204708 0.0039447406 0.0038886543 0.0038919535 0.0038875546 0.00390625 0.0038677594 0.0038589614 0.0039051503 0.003921646 0.003984331 0.003984331 0.003955738 0.003935943 0.003950239 0.003847964 0.003933743 0.003909549 0.003933743 0.0039249454 0.0038468644 0.0038930532 0.0039425413 0.004037118 0.003910649 0.0038622606 0.003951339 0.0038930532 0.003849064 0.0039370423 0.0038875546 0.003847964 0.003869959 0.0039172475 0.003984331 0.004026121 0.0039876304 0.003976633 0.0038226703 0.0038215707 0.0038270692 0.0038963524 0.0038171716 0.0039612367 0.0038721582 0.003844665 0.0037885786 0.0038809562 0.0038391664 0.0038589614 0.0038072742 0.0039293445 0.0039370423 0.003849064 0.003921646 0.0038864547 0.0038589614 0.0038919535 0.003885355 0.0039007512 0.003994229 0.003840266 0.0039161476 0.0038457648 0.0039898297 0.0040327194 0.003923846 0.0039018511 0.0039568376 0.003885355 0.0038523632 0.0037555867 0.0039491397 0.0039029508 0.0038006757 0.0039205467 0.0038468644 0.0039733336 0.0039700344 0.0037852793 0.003889754 0.0038248699 0.003952439 0.0038600613 0.0039282446 0.0037885786 0.0038732581 0.003898552 0.0038875546 0.0038919535 0.0039139483 0.00394694 0.0039865305 0.0038666597 0.0038138726 0.003757786 0.003995328 0.0038347675 0.00390625 0.0038952527 0.0038534629 0.0038743578 0.0039282446 0.0038457648 0.003868859 0.0038798563 0.0039403415 0.003976633 0.0038831555 0.0038908538 0.0038380665 0.0037918778 0.003951339 0.0038215707 0.0038710586 0.0039139483 0.0039403415 0.0038952527 0.0038556622 0.0040041264 0.003934843 0.0038952527 0.0039172475 0.0039139483 0.0038380665 0.0038710586 0.0039491397 0.0038787567 0.0038820559 0.0039436407 0.0039249454 0.0040470157 0.003930444 0.00382377 0.003910649 0.0038644602 0.003869959 0.003939242 0.003996428 0.0038710586 0.00378308 0.0038732581 0.0039326437 0.0039249454 0.0038655598 0.0038743578 0.003967835 0.0039744335 0.0039579375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00041231417 4.8442784e-05 4.899327e-05 3.6882575e-05 4.734181e-05 6.055348e-05 5.339716e-05 5.4498134e-05 3.5231114e-05 3.9635004e-05 6.220494e-05 4.5690354e-05 4.1286465e-05 5.670008e-05 4.348841e-05 4.0735977e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.062460914 0.06269542 0.06280277 0.062208794 0.062152643 0.062413573 0.06286332 0.06264147 0.062791206 0.06187905 0.062539086 0.062084932 0.062095392 0.062157597 0.0626712 0.062415224 4162.0 5.6074004 23338.0 0.010754992 0.010240809 0.010240809 0.010326507 0.0095123835 0.010797841 0.010497901 0.00959808 0.010197961 0.01109778 0.010883537 0.010754992 0.009812323 0.011054932 0.010326507 0.010197961 0.010583597 0.010155112 0.010540749 0.011140629 0.01139772 0.009769475 0.011440569 0.008955352 0.010669295 0.010840689 0.010540749 0.01109778 0.010197961 0.008741109 0.010626446 0.009469534 0.010754992 0.011526266 0.010797841 0.010969235 0.010069415 0.010497901 0.010197961 0.010712143 0.0119976 0.010197961 0.009469534 0.009983717 0.0095123835 0.009812323 0.010197961 0.010583597 0.010626446 0.00989802 0.010540749 0.011226326 0.010283657 0.010240809 0.010026566 0.010669295 0.010540749 0.009940869 0.010540749 0.011054932 0.009555232 0.011183478 0.010326507 0.009983717 0.010969235 0.01139772 0.011012083 0.011483418 0.010840689 0.010797841 0.010240809 0.011354872 0.010583597 0.009383838 0.009940869 0.010326507 0.011140629 0.0112691745 0.009469534 0.009555232 0.009555232 0.010969235 0.009769475 0.010883537 0.009769475 0.011611964 0.009640929 0.010069415 0.010069415 0.01109778 0.010240809 0.010069415 0.010412203 0.010026566 0.009855172 0.009812323 6.582349 0.0 0.0 0.0 13.0 909312.0 5160960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1541003500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 0.0 5.0 1.0 5.0 1.0 1601536.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1598464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 125952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.999823 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1601536.0 0.0 0.0 0.0 0.0 0.0 3428352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 126976.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1152.0 5158780.0 124796.0 5033984.0 0.0 0.0 13496.0 1725440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 5030632.0 92.0 5030664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.27027288 0.012771739 0.0074275364 0.005825408 0.00887115 0.0030910326 0.002762681 0.0033118206 0.009573143 0.0016644022 0.0028023098 0.0018568841 0.0053045745 0.0019248188 0.00114923 0.008248415 0.00698596 0.0007642663 0.00068500906 0.0011548913 0.0032891757 0.0028023098 0.0013473732 0.0011662138 0.0027060688 0.0012907608 0.0014605979 0.0006397192 0.0022418478 0.0005491395 0.00096807064 0.0012794384 0.005859375 0.00073596014 0.00071897643 0.0016700634 0.0040251357 0.0009397645 0.00057744567 0.00086050725 0.0020153986 0.0007472826 0.0013530344 0.0016870471 0.0012398098 0.0037930254 0.0013020834 0.00066802534 0.004008152 0.0022644927 0.0022814765 0.0065726903 0.002100317 0.0019757699 0.0018908514 0.0017153532 0.0024796196 0.0022644927 0.0017832881 0.0047441125 0.0032099185 0.003323143 0.002247509 0.004302536 0.0065104165 0.013400136 0.0064990944 0.0016021286 0.002315444 0.008491848 0.0026664403 0.0013360507 0.0019474637 0.0011605525 0.0006397192 0.00037930254 0.0016587409 0.0035835598 0.0012850997 0.0007586051 0.006051857 0.0025249093 0.0016191123 0.002881567 0.0016813859 0.0039855074 0.0042572464 0.0033174818 0.0015058877 0.0035665762 0.0006623641 0.001466259 0.001024683 0.004098732 0.0029042119 0.002219203 0.0015964673 0.004444067 0.0010586503 0.002536232 0.0030570652 0.006765172 0.005519701 0.0013473732 0.0036741395 0.0038213315 0.004540308 0.0010076993 0.0038949274 0.0017549819 0.0033571105 0.004200634 0.0036005434 0.001392663 0.0057744565 0.00546875 0.01259058 0.010343071 0.0017493207 0.0015228714 0.0020550273 0.0016530798 0.0013190671 0.00033967392 0.0011209239 0.0018625453 0.0010812953 0.0022248642 0.0028589221 0.0019248188 0.0007246377 0.011979166 0.0024739583 0.0077955164 0.00049252715 0.00047554346 0.0019361413 0.007591712 0.0011379076 0.02522645 0.0009227808 0.007025589 0.0003736413 0.00037930254 0.0010869565 0.0003566576 0.000317029 0.00052083336 0.0009397645 0.00087749097 0.00046422103 0.00033967392 0.00080955616 0.00036798007 0.00033967392 0.00052083336 0.0016021286 0.00050384965 0.0004076087 0.0004472373 0.0011435689 0.0018002717 0.00041326994 0.0010133605 0.001392663 0.00071897643 0.00050384965 0.00042459238 0.0012907608 0.00049252715 0.000390625 0.00045855978 0.0008322011 0.0019191576 0.00048686593 0.0003509964 0.0012171648 0.00027173912 0.00028872283 0.00033967392 0.00078691123 0.00079823367 0.00091711956 0.0017210145 0.0020210599 0.0015285326 0.0014605979 0.0005491395 0.0008322011 0.00085484603 0.0007302989 0.00078125 0.006719882 0.003396739 0.002151268 0.005542346 0.0033174818 0.0010076993 0.002807971 0.0037420744 0.002683424 0.0022927988 0.00085484603 0.00071897643 0.0074105524 0.0008831522 0.001268116 0.0011265852 0.0018399004 0.0014719203 0.0013077445 0.0010812953 0.0014039855 0.0003736413 0.001024683 0.00067934784 0.0019418026 0.001953125 0.0011209239 0.0030627265 0.0012624547 0.0015341939 0.00062273553 0.00068500906 0.0029721467 0.0010190217 0.00062273553 0.00041326994 0.0017549819 0.0016870471 0.0007586051 0.000634058 0.011362093 0.0022588316 0.00052083336 0.0044780346 0.004664855 0.00034533514 0.0006963315 0.0006057518 0.004659194 0.0009963769 0.0007472826 0.0012511322 0.002168252 0.00062273553 0.0038609602 0.001879529 0.0051630433 0.0035043026 0.0015002264 0.001415308 0.005106431 0.0018399004 0.0036005434 0.0914289 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02138729 0.00019702577 0.00022272478 8.280793e-05 0.00020273666 5.710892e-05 0.00014562774 0.00031980994 7.9952486e-05 7.4241594e-05 4.283169e-05 6.567525e-05 4.5687135e-05 6.281981e-05 5.9964364e-05 0.0061934623 0.015790615 5.4253473e-05 0.00012278417 0.0005282575 0.00010279605 4.5687135e-05 0.0002484238 0.00011992873 1.427723e-05 7.709704e-05 0.00015704952 2.855446e-05 8.566338e-06 0.00062534265 1.1421784e-05 0.0054567573 0.021153143 0.0001370614 0.0005453902 0.0005482456 0.0003740634 0.00018560399 0.0011136238 0.0005853664 7.9952486e-05 0.0001741822 0.0006710298 0.00011707328 0.0005139803 0.00033408718 0.00014848319 0.008406432 0.04501325 0.0010108278 0.0017104121 0.0013420596 0.0005139803 0.0003169545 0.0016218933 0.001344915 0.00065675256 0.00051969115 0.0013477704 0.0006624634 0.0014048794 0.0014676992 0.0006938733 0.022243924 0.048182793 0.00064533076 0.0030895926 0.0013934576 0.0044088084 0.0014191567 0.00659608 0.003920527 0.0005025585 0.0004968476 0.0009908397 0.000685307 0.0008623447 0.0019988122 0.0009080318 0.01161881 0.042386238 0.0015447963 0.0034122579 0.0017560993 0.0055167214 0.0023100558 0.009297332 0.006136353 0.0010336714 0.0005539565 0.0012049981 0.0012706735 0.00094800803 0.0013934576 0.00095942983 0.007995249 0.018748857 0.00047114858 0.0017560993 0.0021415844 0.005905062 0.0023414656 0.010747898 0.0056766267 0.00039976242 0.0002798337 0.00050826935 0.0007224278 0.00050826935 0.00039119608 0.00032837628 0.0017047012 0.011870089 0.0017503883 0.0019502696 0.015736362 0.0026584202 0.0015590735 0.0030838817 0.0027726379 0.0014905428 0.0012878061 0.0016418814 0.001159311 0.0015961942 0.001267818 0.0011364674 0.0016704359 0.013374909 0.0009879842 0.001659014 0.003426535 0.0012763843 0.0013077942 0.0028268914 0.002247236 0.004725763 0.0011421783 0.0009565744 0.0013734695 0.002087331 0.00121642 0.0013906022 0.0067845397 0.05407358 0.009976928 0.0056052404 0.008320769 0.014868307 0.015790615 0.0074327257 0.01422012 0.031252857 0.002350032 0.00243284 0.0042346264 0.018420482 0.0045258817 0.012269851 0.028143276 0.05365954 0.012189899 0.007832488 0.0095429 0.018186335 0.018237732 0.009248789 0.016644394 0.03333162 0.0025784676 0.003303751 0.0044145193 0.019402755 0.0076554506 0.016750045 0.030179208 0.00080523576 0.00038262975 0.00035978618 0.00029411094 0.00040832878 0.00029696638 0.00043688322 0.00036264164 0.00024271291 0.00028840004 0.00035693074 0.0002798337 0.0003483644 0.00035693074 0.00031980994 0.00030838815 685.0 16.359123 11206.0 0.022487953 0.0012493307 0.0014278066 0.0015170445 0.015170445 0.000981617 0.00080314116 0.0053542745 0.0037479922 0.0015170445 0.0005354275 0.0016062823 0.0028556131 0.0033018026 0.010440836 0.0016062823 0.01704444 0.01195788 0.011065501 0.014545779 0.00981617 0.007942174 0.011243977 0.010440836 0.011690166 0.0071390327 0.0072282706 0.008745315 0.012939497 0.01026236 0.009548456 0.014188827 0.03408888 0.011868642 0.0035695164 0.011333214 0.008834553 0.004908085 0.006782081 0.004818847 0.004551133 0.0062466534 0.000981617 0.0015170445 0.011243977 0.008834553 0.0043726573 0.0032125646 0.01195788 0.0031233267 0.012761021 0.009191505 0.008745315 0.0056219883 0.010440836 0.013831876 0.006068178 0.0017847582 0.0023201855 0.0014278066 0.0028556131 0.0015170445 0.001963234 0.0054435125 0.005889702 0.038996965 0.005889702 0.026325183 0.018561484 0.06068178 0.011600928 0.00856684 0.006782081 0.036409065 0.0050865607 0.0028556131 0.03417812 0.01026236 0.024986614 0.03890773 0.0101731215 0.0015170445 0.038640015 0.03676602 0.051936463 0.014635017 0.006871319 0.004104944 0.006603605 0.0071390327 0.0024986614 0.0005354275 0.0028556131 0.0007139033 0.001070855 0.0013385686 5.910449 0.0 0.0 0.0 4.0 176640.0 192512.0 1.0 0.0 143.0 1.0 1.0 0.0 1.0 0.0 1532328800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 12.0 6.0 0.0 6.0 0.0 88576.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -88576.0 0.0 38400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6059113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.149057 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.5080314 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.629301 0.0 3.1982088 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6464.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36378.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9116.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -88260.0 0.0 38184.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 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 -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 -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 -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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 126828.0 38184.0 143360.0 0.0 0.0 0.0 0.0 6464.0 184320.0 112.0 120064.0 0.0 0.0 0.0 0.0 24.0 120336.0 64.0 120176.0 0.0 0.0 616.0 94208.0 0.0 0.0 0.0 0.0


Input: 0.21538086 0.0059033204 0.009907227 0.00296875 0.0077734375 0.0027490235 0.0014746094 0.0019091797 0.008115235 0.0041064452 0.0020800782 0.0017236328 0.007470703 0.0099462895 0.0006689453 0.002314453 0.006196289 0.0012304687 0.0007421875 0.00092773436 0.004819336 0.00836914 0.0006640625 0.0004248047 0.0038330078 0.0008447266 0.0003955078 0.0006542969 0.0023583984 0.0008691406 0.0003125 0.00033203125 0.005761719 0.00029785157 0.00046386718 0.0008544922 0.023417968 0.007998046 0.00041503907 0.00029296876 0.005419922 0.00028808592 0.00028320312 0.00082519534 0.0020898439 0.0005322266 0.00061035156 0.00033691406 0.0022998047 0.0010253906 0.0008740234 0.0028076172 0.0016699219 0.00081054686 0.0003857422 0.00029785157 0.0015527344 0.0008789062 0.00041992188 0.0022705079 0.0015722656 0.00078125 0.0002685547 0.0050683594 0.018828126 0.016489258 0.031142578 0.0044335937 0.01319336 0.014169922 0.0019335938 0.00094726565 0.0031591796 0.0024951173 0.0006201172 0.0007421875 0.008134766 0.013671875 0.0018798828 0.0015625 0.011811524 0.005234375 0.0071875 0.0040234374 0.0057177735 0.004428711 0.004765625 0.003359375 0.0042333985 0.0012109375 0.0035009766 0.00091796875 0.0021484375 0.001015625 0.0017675781 0.0016064453 0.0012109375 0.0075976565 0.001274414 0.004086914 0.0052734376 0.011152344 0.0010644532 0.0025878907 0.005888672 0.0066503906 0.004770508 0.00040527343 0.005102539 0.0023632813 0.006508789 0.0063671875 0.0047558593 0.00023925782 0.007758789 0.0051171873 0.014443359 0.004897461 0.001928711 0.0028759765 0.001171875 0.0017285156 0.00030761719 0.00020019531 0.0015332032 0.00060058595 0.0004394531 0.0002734375 0.003569336 0.0008691406 0.0004345703 0.005180664 0.0029003907 0.0028808594 0.0004345703 0.00023925782 0.0017773438 0.012236328 0.0011621094 0.025507813 0.0008544922 0.02419922 0.0005419922 0.00040527343 0.021865234 0.00025390624 0.0007617187 0.00070800784 0.0011572265 0.00045898437 0.00047851563 0.0001953125 0.0009326172 0.00029785157 0.00032226564 0.00024902343 0.0016455078 0.00024414062 0.00029296876 0.00022949219 0.0015429688 0.00125 0.00036132813 0.0011865235 0.0006591797 0.000390625 0.00028320312 0.0002636719 0.00072753907 0.0002734375 0.00029785157 0.00019042968 0.0008447266 0.00017578126 0.0005615234 0.00037597655 0.00090820313 0.00022949219 0.00044433595 0.00057617185 0.0014453125 0.00045898437 0.00037597655 0.00020996094 0.002084961 0.0009912109 0.0005029297 0.0006591797 0.0011914063 0.0003955078 0.0006201172 0.0009423828 0.0043359376 0.0016210937 0.0015917969 0.0034082031 0.0035351561 0.0004296875 0.008940429 0.0049609374 0.002607422 0.0014501953 0.0008447266 0.0016552735 0.0064501953 0.00092773436 0.001274414 0.0011669922 0.0017675781 0.0016601563 0.0008642578 0.0025292968 0.0014453125 0.00069335935 0.0044921874 0.0020458985 0.001928711 0.0009619141 0.00072265626 0.00068359374 0.001928711 0.0011376953 0.00045898437 0.0008203125 0.0027978516 0.0005371094 0.0005078125 0.00044433595 0.0021484375 0.0011767579 0.0004248047 0.00036132813 0.008320313 0.0018408203 0.0006298828 0.003491211 0.0047851563 0.0014355469 0.00041992188 0.0002734375 0.0015185546 0.0007421875 0.00056640623 0.0004296875 0.0007421875 0.00017578126 0.0010986328 0.00081542967 0.0016992188 0.00034667968 0.0003125 0.00025878905 0.0085009765 0.0005273438 0.00059570314 0.04078125 0.030025616 2.4536746e-06 2.4536746e-06 2.4536746e-06 4.9073493e-05 2.2083072e-05 2.6990421e-05 9.814698e-06 0.0 0.0 0.0 0.0 2.4536746e-06 0.0 7.361024e-06 0.0 0.004738046 2.4536746e-05 7.361024e-06 7.361024e-06 7.361024e-06 9.814698e-06 1.2268373e-05 1.4722048e-05 0.00012268373 9.814698e-06 9.814698e-06 1.2268373e-05 1.2268373e-05 9.814698e-06 1.2268373e-05 1.4722048e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.004519669 3.680512e-05 5.3980842e-05 2.4536746e-06 4.4166143e-05 1.7175722e-05 0.00014722047 5.3980842e-05 7.361024e-06 6.379554e-05 4.907349e-06 1.7175722e-05 1.7175722e-05 9.814698e-06 1.2268373e-05 1.7175722e-05 0.0041000904 7.361024e-06 4.6619818e-05 9.814698e-06 0.000110415356 2.4536746e-05 0.0 1.9629397e-05 0.00010550801 9.814698e-06 2.4536746e-06 2.4536746e-05 0.00032633872 4.907349e-06 5.6434517e-05 0.00017666457 0.004058378 6.379554e-05 3.4351444e-05 1.4722048e-05 3.4351444e-05 1.7175722e-05 1.9629397e-05 2.2083072e-05 0.00020610867 1.7175722e-05 1.9629397e-05 1.2268373e-05 0.00033124606 1.4722048e-05 2.6990421e-05 0.00013249843 0.0068064933 0.00024291378 0.0002993483 3.9258794e-05 0.000110415356 0.000110415356 0.0011115146 0.0005152717 0.0004539298 6.624922e-05 5.8888192e-05 9.078596e-05 3.4351444e-05 3.189777e-05 3.680512e-05 4.171247e-05 0.018179275 0.0004244857 0.0009741088 0.00020120131 0.0013593357 0.00027481155 0.0034670422 0.0018525244 0.00025763584 0.00020856234 5.3980842e-05 5.8888192e-05 0.0005815209 5.1527168e-05 0.0005913356 0.0016145179 0.02408527 0.00065022375 0.0009299427 0.0007017509 0.003643707 0.0011262366 0.0036805118 0.002404601 0.0007778148 0.00082688837 0.00020856234 0.0001742109 0.0016758598 0.00018157192 0.0012072079 0.0029517706 0.019622035 0.0012243836 0.0012464667 0.0048729978 0.03129662 0.016285038 0.031171482 0.018432004 0.0008416104 0.00043920777 0.00037050486 0.0005545305 0.0015507224 0.0005790672 0.0007361024 0.0014304923 0.023476759 0.0010820705 0.0011532271 0.00385963 0.015902266 0.008060321 0.013240028 0.007954814 0.0012881792 0.0010207286 0.0006624921 0.0013617894 0.0011630418 0.002269649 0.0005594378 0.0023727033 0.022941858 0.0010526264 0.0053907232 0.0007876296 0.010852603 0.0029345949 0.003528384 0.0023260836 0.004895081 0.0013029012 0.0013814188 0.0034793105 0.0024193232 0.00087350816 0.0016807672 0.0045049465 0.0109016765 0.00065267744 0.005353918 0.0006232333 0.0073610237 0.0014648438 0.0014280386 0.0009422111 0.003589726 0.00032633872 0.0003876806 0.0006232333 0.0029125118 0.0007827222 0.0016390546 0.006237241 0.0725478 0.01835594 0.020571608 0.0069856117 0.044244662 0.02130771 0.010752002 0.007277599 0.045984317 0.015112182 0.0034375982 0.0037124096 0.023638701 0.013676782 0.013684143 0.030469732 0.03608374 0.009277344 0.013912335 0.0049858666 0.018998802 0.011561715 0.003589726 0.006438442 0.0250741 0.010776539 0.0028290867 0.0019580324 0.010744642 0.005766135 0.009480999 0.0094270175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1274.0 26.128729 33288.0 0.0051069455 0.00015020427 0.00030040854 0.00015020427 0.006699111 0.0009312665 0.00012016342 0.00036049026 0.0007209805 0.0003304494 9.0122565e-05 0.00018024513 0.0012016342 0.00012016342 0.001441961 0.0007510214 0.004626292 0.0044460464 0.0032744533 0.002493391 0.0018925739 0.0003304494 0.0009913482 0.0005407354 0.00078106223 0.0020127373 0.00012016342 0.00024032684 0.0004806537 0.00018024513 6.008171e-05 0.02910959 0.09706201 0.035237923 0.025444604 0.022861091 0.026105503 0.024453256 0.0052871904 0.0014720019 0.0059781303 0.011806056 0.0004806537 0.0021929825 0.007930785 0.005767844 0.0054974766 0.0053472724 0.020908436 0.0102739725 0.025564767 0.017453738 0.010033646 0.012346792 0.016041817 0.011836097 0.019496515 0.0015020428 0.02000721 0.00078106223 0.00057077623 0.00090122566 0.001231675 0.004085556 0.00036049026 0.041366257 0.0050468636 0.021839703 0.016913002 0.057708483 0.0042958423 0.0140891615 0.0055275173 0.03475727 0.0008111031 0.0011415525 0.019887047 0.011295361 0.03400625 0.033555634 0.017093247 0.00015020427 0.04040495 0.023371786 0.05049868 0.013788752 0.0054974766 0.010033646 0.0015320836 0.0076604183 0.0004806537 6.008171e-05 0.00024032684 0.0002703677 3.0040856e-05 9.0122565e-05 5.4126253 1.0 0.0 0.0 2.0 204800.0 204800.0 0.0 0.0 693.0 0.0 1.0 0.0 0.0 0.0 1472842100.0 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 126976.0 4096.0 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 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -126976.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.7794576 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.121298 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2580295 0.0 3.7856297 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 53216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -123313.0 0.0 11904.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 2.0 0.0 -1.0 1.0 -1.0 1.0 0.0 -2.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 2.0 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 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 2.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 3.0 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 2.0 0.0 1.0 1.0 1.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 1.0 -2.0 1.0 0.0 1.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 3.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 2.0 1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 -1.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 2.0 1.0 0.0 2.0 0.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -3.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 2.0 -1.0 -1.0 1.0 -1.0 -1.0 -2.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 2.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 1.0 -2.0 -1.0 -1.0 0.0 -1.0 0.0 2.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 -3.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 1.0 -1.0 -1.0 1.0 -1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -2.0 1.0 0.0 0.0 3.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 3.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 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 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 0.0 -1.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 2.0 2.0 2.0 0.0 0.0 0.0 1.0 -1.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 2.0 -1.0 0.0 1.0 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 -1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -2.0 2.0 1.0 0.0 0.0 -1.0 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 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -2.0 0.0 0.0 2.0 1.0 1.0 0.0 -2.0 -1.0 0.0 0.0 3.0 0.0 2.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 -4.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 3.0 -1.0 1.0 0.0 -2.0 1.0 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 4.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 2.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 1.0 2.0 0.0 0.0 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 -1.0 -1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -2.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 -3.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 2.0 -1.0 -2.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 -3.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 2.0 1.0 0.0 2.0 -2.0 0.0 -1.0 -2.0 1.0 -1.0 0.0 -2.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 1.0 1.0 -1.0 0.0 1.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 1.0 1.0 0.0 2.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 1.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 3.0 3.0 0.0 0.0 -1.0 1.0 -1.0 0.0 2.0 -1.0 -1.0 -1.0 -2.0 0.0 -2.0 0.0 0.0 0.0 1.0 -1.0 1.0 -3.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -1.0 1.0 1.0 1.0 3.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 2.0 0.0 1.0 -1.0 -1.0 0.0 1.0 2.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 -2.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 150592.0 11904.0 192512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3448.0 131072.0 0.0 0.0 0.0 0.0


Input: 0.5628798 0.0069986978 0.0020887586 0.0027398004 0.0039333766 0.0012478299 0.0020887586 0.0024142796 0.0019259983 0.0024142796 0.0024142796 0.0023871528 0.004123264 0.0011664496 0.0035536024 0.00056966144 0.003092448 0.0016547309 0.0024685329 0.0013020834 0.003092448 0.0007052951 0.0010850695 0.0010036892 0.0027940539 0.002766927 0.0014648438 0.0006510417 0.0018988715 0.00094943575 0.0017361111 0.0018717448 0.0032552083 0.0017361111 0.002170139 0.0027398004 0.0018174914 0.0050455728 0.00021701389 0.0011121961 0.0024956597 0.0007595486 0.0014919705 0.0007324219 0.0016547309 0.0007595486 0.0013292101 0.0026855469 0.0021158855 0.0011664496 0.00056966144 0.000922309 0.0017903646 0.0007324219 0.0014105903 0.00043402778 0.0014105903 0.013454861 0.0028483074 0.0010850695 0.0017903646 0.0020345051 0.0007324219 0.00081380206 0.008463542 0.0070529515 0.0013020834 0.001437717 0.0039876304 0.0011664496 0.0014648438 0.009494358 0.005560981 0.0013292101 0.00048828125 0.00056966144 0.0011935764 0.0010036892 0.0007324219 0.004638672 0.0011935764 0.0014648438 0.00062391494 0.0010579427 0.004123264 0.00056966144 0.0018717448 0.0006510417 0.00056966144 0.0004611545 0.00043402778 0.0007324219 0.0011935764 0.0011935764 0.0007324219 0.0006781684 0.0013020834 0.0040961374 0.0005967882 0.002170139 0.0018717448 0.0026855469 0.0014105903 0.000922309 0.0023057726 0.0035536024 0.0008409288 0.00048828125 0.0040418836 0.0022515191 0.002061632 0.0034722222 0.0018174914 0.0009765625 0.002766927 0.0017361111 0.0023600261 0.0012207031 0.0031195746 0.00081380206 0.0018174914 0.00056966144 0.00094943575 0.00035264756 0.0013834635 0.00086805556 0.0010850695 0.0006510417 0.0019802516 0.00040690103 0.00081380206 0.0006781684 0.000922309 0.0009765625 0.0016547309 0.0007866754 0.0017903646 0.0002983941 0.00081380206 0.0006510417 0.0003797743 0.00086805556 0.0047200522 0.00048828125 0.00062391494 0.001030816 0.0011121961 0.0014919705 0.0007324219 0.001030816 0.000515408 0.0011393229 0.0018717448 0.003797743 0.0016004774 0.0022786458 0.0034450954 0.0018717448 0.0019802516 0.00062391494 0.0007324219 0.0045844186 0.0008409288 0.0012207031 0.0010579427 0.0009765625 0.0032009548 0.00048828125 0.0014648438 0.007080078 0.0011664496 0.0008951823 0.0018988715 0.0050727 0.0023328993 0.0016547309 0.0011664496 0.0013020834 0.0010036892 0.0006510417 0.0012749566 0.0016818576 0.0008951823 0.00062391494 0.0016276041 0.0011664496 0.0013020834 0.0004611545 0.000922309 0.0007866754 0.0010850695 0.00056966144 0.001953125 0.0015733507 0.000515408 0.0012207031 0.001030816 0.0013292101 0.00086805556 0.0008409288 0.001437717 0.00056966144 0.0006781684 0.0007866754 0.0015733507 0.0010579427 0.0009765625 0.0006781684 0.0018174914 0.0008409288 0.000922309 0.0008409288 0.0009765625 0.0006510417 0.0011121961 0.0007595486 0.0022786458 0.0010579427 0.0009765625 0.0007866754 0.0019802516 0.0007324219 0.00094943575 0.00043402778 0.0015733507 0.0008951823 0.0003797743 0.0008409288 0.0007052951 0.0006781684 0.0006510417 0.0004611545 0.0007324219 0.0012478299 0.0003797743 0.00094943575 0.000515408 0.000515408 0.0004611545 0.00062391494 0.0008409288 0.0005967882 0.00062391494 0.0007052951 0.00056966144 0.0010850695 0.00043402778 0.00054253475 0.0011121961 0.00056966144 0.0010579427 0.0008951823 0.00664605 0.0007052951 0.002061632 0.022379557 0.19998606 1.3950893e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.026143974 0.0002511161 0.00029296876 6.975447e-05 0.00026506698 0.00018136161 0.00053013396 0.0001953125 0.00029296876 2.7901786e-05 1.3950893e-05 0.00012555804 6.975447e-05 1.3950893e-05 6.975447e-05 2.7901786e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.048325893 0.00051618303 0.00036272322 0.00055803574 0.0011997768 0.0010463169 0.0023158481 0.00078125 0.00036272322 0.00011160714 8.370536e-05 0.0002511161 0.00027901787 5.580357e-05 0.00022321429 0.0006696429 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.022265624 0.00072544644 0.0006696429 0.0002511161 0.0009905134 0.00026506698 0.0009765625 0.00029296876 9.765625e-05 0.00022321429 0.00016741072 0.00013950893 0.00023716518 0.0002092634 0.00032087055 0.0007393973 0.09785156 0.0060546873 0.0065708705 0.0026227678 0.005998884 0.0021065848 0.004547991 0.0028041294 0.0020368304 0.002078683 0.004045759 0.0011300223 0.0009626116 0.0010602679 0.0008091518 0.0021763393 0.038225446 0.0017996652 0.0020647321 0.0013532366 0.0027204242 0.00078125 0.0021205358 0.0014508929 0.0008789062 0.0008789062 0.0009905134 0.0007114955 0.0005998884 0.00047433036 0.0005859375 0.0015066965 0.016350446 0.0012834822 0.00065569195 0.00055803574 0.00078125 0.0008789062 0.0016462053 0.0009765625 0.0002511161 0.00016741072 2.7901786e-05 9.765625e-05 0.00044642857 0.00030691965 0.00026506698 0.0038783483 0.046037946 0.003125 0.0038504463 0.0034737724 0.0048688618 0.0015625 0.004771205 0.0033063616 0.0014090402 0.0014369419 0.0015206473 0.0017159599 0.0014648438 0.00082310266 0.0007533482 0.005594308 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.024734933 0.0016183036 0.0022879464 0.0025530134 0.0050083706 0.0017578125 0.00390625 0.002218192 0.0013113839 0.0019810267 0.0025251117 0.0011160715 0.0010463169 0.0010602679 0.00086495536 0.0031529018 0.026771763 0.0058175223 0.004296875 0.00327846 0.003641183 0.002999442 0.00516183 0.0029157365 0.0032226562 0.0047433036 0.008775111 0.0029296875 0.002748326 0.0028878348 0.0011858259 0.004338728 0.042145647 0.0070033483 0.008523996 0.0179827 0.022586495 0.004952567 0.0072126114 0.006989397 0.0073660715 0.011914062 0.015053013 0.0071986606 0.008314732 0.009109933 0.0058454243 0.017801339 0.005189732 0.00089285715 0.0009905134 0.0014927456 0.0029854912 0.0013392858 0.0013253348 0.0010044643 0.0012276786 0.0022739954 0.0024414062 0.0014508929 0.0013392858 0.0015904017 0.0009486607 0.002078683 226.0 14.898231 3367.0 0.018117018 0.008019008 0.012771013 0.01989902 0.004158004 0.034749035 0.0011880012 0.008316008 0.017523017 0.004752005 0.00950401 0.0038610038 0.009207009 0.0032670032 0.0074250074 0.027324026 0.008316008 0.0038610038 0.0017820018 0.0008910009 0.010692011 0.0008910009 0.0053460053 0.0008910009 0.0011880012 0.13157113 0.005049005 0.0017820018 0.0 0.008613009 0.0 0.0 0.0062370063 0.06652807 0.0026730027 0.0068310066 0.033561032 0.0044550044 0.0056430055 0.0950401 0.036531035 0.0038610038 0.0 0.0008910009 0.004752005 0.0056430055 0.0017820018 0.042471044 0.0044550044 0.009207009 0.0005940006 0.004752005 0.03979804 0.0005940006 0.01009801 0.0008910009 0.0 0.0002970003 0.0011880012 0.0008910009 0.0026730027 0.0056430055 0.0 0.002970003 0.0002970003 0.024651024 0.002079002 0.011583012 0.01039501 0.02019602 0.0026730027 0.0035640036 0.002079002 0.013959014 0.0 0.0002970003 0.011583012 0.012177012 0.011880012 0.024057023 0.0032670032 0.0 0.012177012 0.008910009 0.01009801 0.0053460053 0.026136026 0.0017820018 0.0032670032 0.0008910009 0.0 0.0008910009 0.0011880012 0.0002970003 0.0011880012 0.0011880012 5.2968197 2.0 0.0 0.0 1.0 36864.0 45056.0 0.0 0.0 7.0 0.0 1.0 0.0 0.0 0.0 1539238100.0 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 1.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 20480.0 4096.0 4096.0 3.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.468978 0.0 5.933132 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -16864.0 0.0 8320.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 20708.0 8320.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 544.0 52.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.007829366 0.0037760397 0.003555317 0.0040269047 0.0033658806 0.0037254852 0.0038515853 0.003919023 0.0033708406 0.0035808804 0.003675503 0.0038500591 0.0038367051 0.00391082 0.0038550193 0.004282634 0.0034669896 0.0035332828 0.0035198333 0.0036659644 0.003587462 0.0037543871 0.0037409377 0.0039072908 0.0037185221 0.0038158156 0.0038113324 0.0038864966 0.00402576 0.0039635682 0.0039611836 0.0040869024 0.0035965235 0.0037037372 0.0035496892 0.003866084 0.003953553 0.003652229 0.0036197023 0.003861887 0.0035596092 0.0036587152 0.003647555 0.003787009 0.0037556272 0.0038975612 0.0037898708 0.0039873193 0.0036762662 0.0037362638 0.0037116543 0.0038976567 0.003919691 0.0037789014 0.003784243 0.0039545065 0.003891552 0.004039686 0.0039664297 0.004111321 0.00401956 0.0040904316 0.0040601944 0.004204704 0.0036041543 0.0039821686 0.0037003034 0.003921503 0.0037782337 0.0037776614 0.0036852325 0.004140986 0.004950621 0.003848056 0.0036039636 0.0038326036 0.0037621134 0.0038504407 0.0037526703 0.0040615294 0.0036384934 0.0036194162 0.0036316256 0.003780046 0.0037164236 0.003641832 0.0036812262 0.003832413 0.003727202 0.0037104143 0.0037270114 0.003899183 0.0037409377 0.003907386 0.0039143492 0.004120478 0.0035815479 0.0037613504 0.0037375994 0.0038773394 0.0039101522 0.0038074218 0.0038474838 0.003950405 0.0039723436 0.003904906 0.0037089835 0.0037552456 0.0039029983 0.0038415699 0.0038943181 0.0041831466 0.0037478055 0.0038251635 0.0039618514 0.0040125013 0.004351693 0.00401088 0.0039403895 0.0040842313 0.0039346665 0.0040703053 0.0040311967 0.0041097947 0.0040572374 0.0041541494 0.004172559 0.0042380886 0.003351191 0.003738744 0.0035888928 0.0043040006 0.0035945205 0.004064868 0.0038390898 0.0039256047 0.0036565212 0.0040296707 0.0036877124 0.004603321 0.0036387795 0.004128204 0.004126392 0.0040029627 0.00381076 0.0038827765 0.003712322 0.0037908244 0.003577828 0.0037208113 0.003813908 0.0038419513 0.0035999576 0.00368094 0.003772892 0.003882872 0.0037822397 0.0039635682 0.0040867114 0.004117903 0.0037369316 0.0038692318 0.0036946756 0.0039265584 0.0037221466 0.0037986462 0.0037485687 0.00397511 0.0037707936 0.0037378855 0.003586508 0.0037227191 0.0036527058 0.003735787 0.0037830982 0.0039777807 0.0037517163 0.0038465299 0.003849964 0.0038889765 0.003858167 0.003748187 0.0039452543 0.0040125013 0.0037818584 0.0038758134 0.0039571775 0.0039803563 0.0038951766 0.0040696375 0.00409377 0.004256021 0.003694294 0.003918832 0.0036528965 0.004010689 0.0038214433 0.0038269758 0.003881918 0.0040943422 0.0040807975 0.003890026 0.0037018296 0.0038997552 0.0040095444 0.003917497 0.0039752056 0.004166645 0.00402948 0.00397387 0.0038395666 0.0040029627 0.003834416 0.0037031649 0.0037851015 0.0040044887 0.0039411527 0.004014218 0.0038849704 0.004010689 0.0038880226 0.004018892 0.004080416 0.004310487 0.003825068 0.0038694225 0.0038220158 0.004007255 0.0040104026 0.003876481 0.0038993736 0.0041373614 0.0043257484 0.004033009 0.0038655116 0.0040565697 0.004042357 0.0040643914 0.0040716403 0.004300662 0.004026714 0.004013932 0.0040282398 0.0041089365 0.0040849946 0.004013837 0.004185436 0.0043034283 0.0041055023 0.0041550077 0.0040815608 0.004275766 0.0041366937 0.004241809 0.0042850184 0.004844743 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00032281797 7.63163e-06 6.725374e-06 3.386536e-06 1.7886634e-05 7.727026e-06 3.2911405e-06 2.5756754e-06 1.383233e-06 1.5740237e-06 3.0049544e-06 1.3355353e-06 1.2401399e-06 1.8602099e-06 1.2878377e-06 7.0115602e-06 0.00045880408 1.2162911e-05 1.197212e-05 4.8174666e-06 2.933408e-05 5.6283275e-06 2.1082378e-05 1.2878376e-05 2.8618613e-06 4.2927923e-06 4.0543036e-06 3.3388383e-06 3.386536e-06 3.7681175e-06 2.1940937e-06 5.532932e-06 0.0007042564 9.778027e-06 3.0097242e-05 5.7237226e-06 4.850855e-05 1.6884982e-05 5.470925e-05 3.8062757e-05 8.156305e-06 2.2656403e-05 8.442491e-06 4.6743735e-06 3.9112106e-06 3.9112106e-06 9.205654e-06 7.870119e-06 0.0003937921 9.634933e-06 1.9985331e-05 9.682631e-06 1.6408005e-05 1.0016515e-05 5.9145135e-05 3.3960754e-05 5.294444e-06 5.1036527e-06 6.0576067e-06 4.626676e-06 3.1003499e-06 2.8618613e-06 2.4325823e-06 4.006606e-06 0.0003613577 1.5454052e-05 1.3593842e-05 1.1542841e-05 2.5995241e-05 2.3037985e-05 6.424879e-05 3.2720614e-05 6.439188e-06 4.006606e-06 4.769769e-06 4.3881873e-06 3.6727222e-06 3.0526521e-06 4.5789784e-06 7.250049e-06 0.0006405323 6.816e-05 3.0288033e-05 3.8492035e-05 5.6092482e-05 5.537702e-05 0.00015301419 0.000100689824 1.8077424e-05 1.2926074e-05 1.5549447e-05 1.1161259e-05 1.6264912e-05 1.0922771e-05 2.0891588e-05 2.146396e-05 0.00056025706 3.4628523e-05 3.176666e-05 3.0240335e-05 3.081271e-05 3.4628523e-05 0.00010860764 6.9209345e-05 2.3896542e-05 3.6870315e-05 2.2656403e-05 1.42139115e-05 1.6217215e-05 1.736196e-05 1.6360307e-05 2.6806101e-05 0.00039474608 2.251331e-05 2.971566e-05 2.7616963e-05 2.8093938e-05 2.1988635e-05 5.2181273e-05 3.1909756e-05 2.7807753e-05 2.4659706e-05 1.7982029e-05 1.8602099e-05 2.6806101e-05 2.103468e-05 1.693268e-05 1.8888286e-05 0.0006978172 5.885895e-05 9.577696e-05 7.3263654e-05 0.0002932454 4.6791432e-05 3.7585778e-05 6.701525e-05 0.00030812708 5.16566e-05 2.7426171e-05 5.761881e-05 0.00013288576 4.0781524e-05 6.463037e-05 9.558617e-05 0.0027059377 0.00044039276 0.00063943525 0.00045322345 0.0021310374 0.0003919319 0.0002746433 0.00055472413 0.001818856 0.0001279252 9.3248986e-05 0.0002888095 0.0010869827 0.00027292618 0.0005328309 0.0007884428 0.0006429172 0.00014986614 0.00018482855 0.00023524501 0.00040958007 0.00014304537 0.00022270052 0.0002105376 0.00034428193 5.676025e-05 6.3867206e-05 7.855809e-05 0.00021110997 0.000109895474 0.00014509638 0.0002106807 0.056497104 0.059619203 0.05879432 0.061951857 0.059167936 0.05953373 0.06058532 0.06354978 0.05971846 0.060691923 0.060174022 0.06232619 0.061039165 0.062833786 0.063394524 0.06570147 46920.0 5.753453 269952.0 0.010142544 0.009905465 0.009416489 0.009979552 0.010631519 0.009583185 0.00955355 0.010064752 0.009034939 0.009364628 0.0098054465 0.009968439 0.009849899 0.010064752 0.0104277795 0.010801921 0.010261083 0.009994369 0.010298127 0.010124022 0.009749882 0.010046231 0.0101166135 0.010205518 0.009994369 0.010635224 0.010298127 0.010935278 0.010372214 0.010509276 0.01051298 0.01092046 0.00969802 0.012139196 0.009679498 0.010694494 0.009861012 0.010061048 0.009364628 0.011205696 0.010483345 0.010135135 0.009427602 0.0104277795 0.010098091 0.010268493 0.009872125 0.011179766 0.009772108 0.009638751 0.009842491 0.0105166845 0.0103166485 0.010135135 0.010542615 0.01077599 0.009353515 0.00969802 0.009879534 0.010086979 0.0101166135 0.0105166845 0.010542615 0.011372392 0.009394263 0.010957504 0.010001778 0.011305714 0.011283487 0.012257734 0.010990843 0.0106500415 0.01048705 0.0122281 0.009757291 0.009720246 0.010801921 0.010727833 0.011127904 0.0132542085 0.010275901 0.009668386 0.012120673 0.011861368 0.0130097205 0.010490754 0.01077599 0.010638928 0.010198109 0.010827851 0.01057225 0.010768581 0.010212927 0.010490754 0.010616702 0.011253852 6.5812182 3.0 20.0 0.0 153.0 10483735.0 20303872.0 1.0 0.0 121.0 0.0 1.0 0.0 0.0 0.0 1542948900.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 13.0 10.0 0.0 6.0 0.0 173056.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 55808.0 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 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -173056.0 0.0 20034560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0257072 0.0 0.0 0.0 0.0 5.4312973 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.8524575 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4477334 0.0 7.997828 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1524.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 55482.0 0.0 0.0 0.0 0.0 8760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -172667.0 0.0 20034504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 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 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 232252.0 20034504.0 262144.0 8760.0 249856.0 15536.0 20278784.0 1524.0 20299776.0 84.0 216784.0 0.0 0.0 0.0 0.0 0.0 0.0 264.0 189216.0 0.0 0.0 1000.0 189480.0 0.0 0.0 0.0 0.0