Input: 0.2572525 0.019009292 0.013072692 0.0069700624 0.02339822 0.008619683 0.0075753066 0.0035730894 0.008808698 0.0029873587 0.007409278 0.003257238 0.006881839 0.0042381138 0.003552749 0.0131929135 0.010695786 0.0051492043 0.0033752276 0.0020876783 0.0043246835 0.0037783927 0.002848781 0.0015391554 0.0038214708 0.0015441163 0.0023821974 0.001325749 0.0040073437 0.0026285944 0.0022419658 0.0020414582 0.004918352 0.0018531049 0.0023110895 0.0017483449 0.006545234 0.0016530934 0.002165649 0.00137354 0.0032272239 0.0013592358 0.0016310995 0.0011544285 0.0034669235 0.0010098976 0.0047065164 0.0019853162 0.0041297153 0.002781642 0.0036747903 0.0038085722 0.0041348417 0.0032005997 0.0029489936 0.002220551 0.0036394843 0.0026311576 0.0026726648 0.0028133097 0.0033662976 0.003968565 0.0038254396 0.0048128474 0.004685763 0.009866056 0.0043096347 0.0055994163 0.0058960854 0.0069178063 0.004119628 0.0031179162 0.0020801541 0.0042658127 0.0034037533 0.0018556681 0.00414989 0.00660303 0.0043337783 0.0041720495 0.0057536215 0.0030143962 0.0036121986 0.004364454 0.00397766 0.0043029375 0.0028591992 0.0019585267 0.0021701138 0.002054605 0.0022679286 0.001381395 0.0017083259 0.0021315834 0.0019954862 0.0018053139 0.0018435963 0.0015697483 0.0010575233 0.0012916833 0.0016250636 0.001462425 0.0018802251 0.00082733214 0.0030140656 0.002454463 0.0041045793 0.0016603695 0.0017416475 0.00090249156 0.0015236934 0.0012740716 0.00242726 0.00090315304 0.001628619 0.0014968213 0.0048040003 0.003060699 0.0009609489 0.0008965383 0.0014685435 0.0007319153 0.0007650714 0.00069727085 0.0015420492 0.0015535422 0.007598623 0.002327626 0.008705592 0.0024247793 0.0022819021 0.004571246 0.0050025233 0.0041332706 0.0018841113 0.0013537786 0.0026362014 0.008687318 0.0015381632 0.023253193 0.004092342 0.002918814 0.00092415465 0.00081749284 0.0022279925 0.0007002475 0.0008589173 0.0006456763 0.0015537076 0.0007534957 0.00064881827 0.0005889553 0.0014934313 0.0011447545 0.000860819 0.0008034366 0.0012143741 0.0010448727 0.00076176407 0.00072984817 0.0017208112 0.0025094475 0.0006799073 0.002184501 0.0012656379 0.00066659524 0.00053719536 0.00052082405 0.00233945 0.0017901 0.0007529996 0.0005513343 0.0010628977 0.0005023856 0.0006137604 0.0027217788 0.0032986624 0.0017654604 0.0005315729 0.00054645597 0.0062669213 0.001706755 0.0018707992 0.0017708348 0.002896572 0.0014233983 0.0014702799 0.0005109847 0.0011383052 0.00063641573 0.0021683776 0.0046256515 0.0053547556 0.0026462062 0.0030878193 0.0009855059 0.0034969377 0.0006973535 0.0013718863 0.0076314486 0.0033657188 0.0014495263 0.0010213079 0.0009798834 0.008945374 0.0006870181 0.0012824227 0.0010011331 0.0030819487 0.0048483186 0.0047218953 0.00064633775 0.0014548181 0.00053182093 0.0008922388 0.0006607247 0.0032230897 0.00078706525 0.0006261629 0.0008583385 0.0011858483 0.0006294703 0.00049717654 0.00053793954 0.0020462538 0.0007085158 0.00066733937 0.0005522438 0.0014938447 0.0011461602 0.0006732099 0.00051073666 0.0052803406 0.0012259498 0.00079855823 0.0017141139 0.002215838 0.00065890566 0.0005161111 0.00054810965 0.0035591158 0.00086329953 0.001580001 0.0053116777 0.0013629566 0.0005663827 0.0010566137 0.0008842185 0.0029523007 0.0013322809 0.000759697 0.0006923925 0.0039260658 0.00085751165 0.0023898042 0.01649968 0.0020208533 2.0674115e-06 3.7213408e-07 6.2022343e-07 8.6831284e-07 1.4471881e-06 1.0337058e-06 0.0 2.8943762e-07 2.0674115e-07 0.0 8.269646e-08 1.612581e-06 1.0337058e-06 1.0337058e-06 8.269646e-07 0.001824408 4.3415644e-06 2.2328045e-06 2.4395456e-06 2.3237706e-05 1.050245e-05 3.9901042e-05 1.3520871e-05 1.6952774e-06 4.134823e-07 4.5483054e-07 2.0674115e-07 9.096611e-07 5.37527e-07 4.5483054e-07 2.241074e-05 0.0075867386 8.517735e-06 7.0705473e-06 1.5960417e-05 0.00011966178 6.917559e-05 0.00027405607 0.00011846268 5.8714486e-06 3.6386443e-06 3.5145995e-06 3.1424654e-06 3.3078584e-06 2.0260634e-06 1.9020185e-06 7.570861e-05 0.001791991 2.9812074e-05 1.2280424e-05 4.506957e-06 1.8482659e-05 1.1825594e-05 3.1507352e-05 3.6923968e-05 6.987851e-06 7.773468e-06 1.6043114e-05 1.6167158e-05 1.6994123e-05 7.3186366e-06 1.2404469e-06 2.2493437e-05 0.0025014852 7.690771e-05 3.713071e-05 1.587772e-05 1.823457e-05 1.2197728e-05 1.6497945e-05 5.276034e-05 4.7509115e-05 2.1459731e-05 1.7531649e-05 3.365746e-05 3.481521e-05 3.3533415e-05 4.9617875e-06 3.9280818e-05 0.004885748 0.00020806429 0.0001051072 4.597923e-05 0.00013698668 6.2807965e-05 3.708936e-05 0.0001248303 0.00012487166 3.8908685e-05 5.019675e-05 8.5880274e-05 8.8030385e-05 8.339938e-05 1.2487166e-05 9.133824e-05 0.046945747 0.00056357635 0.00025875724 0.000284972 0.015704224 0.0060419273 0.0020121704 0.0015209533 0.00033740155 0.000109862245 0.00044172315 0.0002126126 0.00020930474 0.00021137216 5.284304e-05 0.00020475643 0.038398407 0.0012150591 0.0006822458 0.0012000083 0.007905534 0.002974054 0.0012182429 0.0012616172 0.0016170465 0.00037320913 0.00040641177 0.00056829007 0.0005994253 0.00048650327 0.00016989988 0.0006242756 0.048308376 0.002375125 0.0014586828 0.0021467174 0.008001999 0.002927372 0.0013679649 0.0016532263 0.0029021082 0.00073570904 0.0007792488 0.0012528513 0.0011315771 0.001005713 0.0003342591 0.0011023438 0.035694398 0.0034605989 0.0021401844 0.0017995164 0.0048463433 0.0019143403 0.0014832023 0.0019097093 0.002730141 0.00057478173 0.0008929564 0.0013842147 0.0016163436 0.0015797504 0.00038395968 0.0012698042 0.03751872 0.0054145507 0.0028091162 0.0019996832 0.004042327 0.0021556073 0.0016427651 0.0024036968 0.0033544991 0.0012873771 0.001673735 0.0028598504 0.0034082106 0.0020347878 0.00069808215 0.0027406847 0.036462564 0.009580261 0.005886706 0.025883537 0.0054410137 0.0028886287 0.0032340519 0.004255064 0.0068878294 0.0031043424 0.0025925753 0.0044988114 0.0042170645 0.004183945 0.002320876 0.005584492 0.050755035 0.011662185 0.009974516 0.0062501985 0.0080032395 0.0063910717 0.004655356 0.0048872367 0.018079473 0.0022324324 0.0040450147 0.0077814474 0.009695168 0.004416983 0.0030775901 0.008648561 0.060966272 0.013355272 0.011981394 0.009264319 0.014752759 0.014020772 0.0071774325 0.00915979 0.031815108 0.003046827 0.005076777 0.009157268 0.017253377 0.006014307 0.008424785 0.01741914 0.009749127 0.002538492 0.0024858555 0.0023998513 0.0030916072 0.0025744648 0.0017486167 0.0021868665 0.0040436503 0.0012497916 0.001158288 0.0015439843 0.0025433297 0.0019123557 0.002070058 0.0035000036 0.0043993276 0.0032976042 0.0032652698 0.0033124068 0.0032743663 0.0033007052 0.0032809821 0.0032737874 0.0032762683 0.0032423215 0.0032647322 0.0032301238 0.003185633 0.0032100698 0.00320118 0.0032496816 39505.0 11.930971 471333.0 0.013075681 0.0041159857 0.005155591 0.0055353646 0.009621647 0.006078505 0.0046591265 0.0050389003 0.0063479533 0.0049497914 0.005268038 0.004222068 0.007198732 0.0036322514 0.0048224926 0.0035855754 0.021411613 0.025576398 0.024757443 0.020338062 0.01972915 0.018290678 0.018598316 0.01835857 0.020556591 0.017834526 0.022767343 0.018473139 0.019048104 0.017730564 0.019470312 0.01860256 0.008452622 0.009672567 0.0076400335 0.006753187 0.0099101905 0.007082042 0.007370585 0.0058026914 0.0063352236 0.0066471053 0.01156295 0.0043790694 0.007890387 0.0066810516 0.0063925083 0.00519378 0.01038756 0.004525463 0.009271577 0.010523345 0.006980203 0.0065389015 0.008611746 0.0045106113 0.006362805 0.0052850107 0.005611744 0.004105378 0.004939183 0.0035367776 0.003920795 0.013794918 0.005794205 0.021831699 0.007043852 0.017664794 0.013169033 0.023219252 0.0088111805 0.009061534 0.014442019 0.019633677 0.0067447005 0.004924332 0.012555879 0.011272285 0.016606094 0.019814016 0.013860689 0.0028196624 0.01945758 0.018214298 0.027638633 0.010879781 0.004591234 0.006345832 0.008859978 0.0053592683 0.0045106113 0.002853609 0.0036492248 0.0025990116 0.010909485 0.0033394648 6.3207736 6.0 18.0 0.0 39.0 12094296.0 12582912.0 1.0 3.0 138.0 1.0 1.0 1.0 1.0 0.0 1537932300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 14.0 6.0 0.0 6.0 0.0 4745728.0 1024.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -540672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 304640.0 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 -6310400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4745728.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8108335 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.426152 0.0 -6.1241503 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7379127 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4373317 0.0 3.4848337 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -540256.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 304158.0 0.0 -404.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6974468.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4745307.0 0.0 1636.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -2.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 148.0 5052000.0 100.0 5052148.0 1636.0 12038144.0 0.0 0.0 189272.0 11905024.0 540256.0 12042240.0 84.0 5045440.0 0.0 0.0 0.0 0.0 24.0 5045688.0 64.0 5045528.0 0.0 0.0 568.0 4751360.0 0.0 0.0 0.0 0.0


Input: 0.20838512 0.026776467 0.015641185 0.014035633 0.019655066 0.008364408 0.019810442 0.008105448 0.00815724 0.009374352 0.017428009 0.0064998963 0.0040915683 0.0064222086 0.0073285685 0.0029521442 0.0031852082 0.0069919205 0.0075098407 0.0062150406 0.0030816242 0.0029003522 0.0036254402 0.0030298322 0.002123472 0.002874456 0.001968096 0.002770872 0.0018386161 0.005101512 0.001657344 0.0026931842 0.011808577 0.0015796561 0.0037549203 0.0015537601 0.0016314482 0.0024860161 0.001657344 0.001191216 0.0056194323 0.0016055522 0.005205096 0.00336648 0.00207168 0.0035218562 0.007924177 0.0050756163 0.017169049 0.0066034803 0.0050497204 0.002175264 0.0019163041 0.00207168 0.0014760721 0.0017350321 0.0023047442 0.002770872 0.0026154963 0.0012430081 0.0020975762 0.0023565362 0.002667288 0.0016055522 0.0017091361 0.0041692564 0.0014760721 0.00543816 0.0026413922 0.0019939921 0.0024860161 0.00207168 0.0029521442 0.0033923762 0.00103584 0.0015537601 0.002175264 0.0015278641 0.0019939921 0.0015537601 0.0025896002 0.00103584 0.0017091361 0.0069142324 0.0038585044 0.0056712246 0.0019163041 0.0015796561 0.0018127201 0.0012171121 0.00116532 0.00067329605 0.002123472 0.0013724881 0.00085456803 0.0030039363 0.0012171121 0.012481873 0.0029780401 0.009840481 0.0042987363 0.026698777 0.0034182721 0.0061632483 0.0044023204 0.016677026 0.001139424 0.0016055522 0.008442096 0.00958152 0.015770664 0.023202818 0.009244872 0.001139424 0.018437954 0.012844417 0.024652993 0.0065775844 0.0023565362 0.0025896002 0.0017868241 0.00543816 0.001191216 0.0015796561 0.0007768801 0.001191216 0.0012430081 0.00072508806 0.0038326082 0.0033923762 0.0038585044 0.00095815206 0.001009944 0.0007768801 0.004583592 0.000595608 0.00051792 0.00075098407 0.00064740004 0.000984048 0.00069919205 0.00088046404 0.001113528 0.0007768801 0.000569712 0.001087632 0.00090636004 0.00069919205 0.00090636004 0.000984048 0.00233064 0.0007768801 0.001139424 0.00072508806 0.0014242801 0.00088046404 0.00072508806 0.001061736 0.00051792 0.0016314482 0.0015796561 0.0012171121 0.00095815206 0.0012430081 0.00093225605 0.001009944 0.00062150403 0.000984048 0.00062150403 0.0012171121 0.00072508806 0.00046612803 0.00062150403 0.00095815206 0.00103584 0.000492024 0.00090636004 0.00085456803 0.00085456803 0.00085456803 0.0013206961 0.0008027761 0.00069919205 0.0012171121 0.00088046404 0.0008027761 0.00072508806 0.0014242801 0.001139424 0.001657344 0.0012689041 0.00116532 0.000569712 0.00075098407 0.00116532 0.001191216 0.00046612803 0.00103584 0.00069919205 0.0008027761 0.000828672 0.000828672 0.00067329605 0.00069919205 0.0007768801 0.00088046404 0.00064740004 0.00069919205 0.0030557283 0.001657344 0.0008027761 0.00038844004 0.00085456803 0.00062150403 0.00064740004 0.00090636004 0.00116532 0.00090636004 0.00069919205 0.00069919205 0.001139424 0.00116532 0.001113528 0.00064740004 0.00067329605 0.00069919205 0.00064740004 0.00095815206 0.0008027761 0.000828672 0.00064740004 0.00062150403 0.00090636004 0.000828672 0.001009944 0.000828672 0.00062150403 0.00069919205 0.00064740004 0.0007768801 0.00069919205 0.00069919205 0.00064740004 0.00064740004 0.00088046404 0.00075098407 0.00062150403 0.0019422001 0.0008027761 0.00090636004 0.000543816 0.000595608 0.0008027761 0.000828672 0.0008027761 0.0015796561 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.021240234 0.00018988716 0.00054253475 0.0010715061 0.0008544922 0.00032552084 0.0025227864 0.0008951823 4.0690105e-05 0.0 2.7126736e-05 2.7126736e-05 0.0 0.0 1.3563368e-05 2.7126736e-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 0.04090712 0.0005289714 0.0030110676 0.0036078559 0.00793457 0.00664605 0.04857042 0.026679145 0.00031195747 8.138021e-05 0.00013563369 0.000108506945 9.494358e-05 9.494358e-05 6.781684e-05 0.000108506945 0.065823026 0.006863064 0.006632487 0.00660536 0.005493164 0.003797743 0.025838217 0.015123155 0.000922309 0.00017632378 0.00027126737 0.00028483072 0.00023057725 0.00040690103 0.00021701389 0.00020345052 0.13787164 0.021362305 0.017347548 0.009914822 0.0061442056 0.0054796007 0.017171225 0.013115777 0.0033365886 0.0055881077 0.0021972656 0.0030246312 0.0015055338 0.0027533637 0.0012885199 0.0018988715 0.043036565 0.008802626 0.0040690103 0.0018174914 0.0020073785 0.0022243923 0.0038384332 0.0024956597 0.0038113063 0.00069173175 0.0010986328 0.0034044054 0.0006510417 0.004272461 0.000515408 0.0005967882 0.008884006 0.0009629991 0.00069173175 0.00054253475 0.0013563368 0.0017496744 0.007907444 0.0037434895 0.00032552084 0.00024414062 0.00031195747 0.00024414062 0.00016276042 0.00018988716 0.00018988716 0.00027126737 0.011406792 0.0014105903 0.0013699002 0.0024549696 0.0009765625 0.0013020834 0.0026855469 0.0016954211 0.0009087457 0.00047471788 0.00061035156 0.0004204644 0.00056966144 0.00036621094 0.00048828125 0.0006374783 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.056844074 0.017211914 0.026258681 0.02955458 0.013441298 0.015760634 0.042263456 0.028062608 0.015028212 0.008558486 0.009236653 0.008192275 0.008897569 0.008070204 0.008802626 0.009372287 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 550.0 16.436363 9040.0 0.025442477 0.0006637168 0.0023230088 0.00044247787 0.0023230088 0.0014380531 0.0014380531 0.0014380531 0.00210177 0.00055309734 0.00022123894 0.0011061947 0.0007743363 0.0040929206 0.020243363 0.011504425 0.026327433 0.012942478 0.010066371 0.0026548672 0.00210177 0.0027654867 0.00210177 0.00088495575 0.0019911504 0.0036504425 0.003982301 0.00055309734 0.00044247787 0.00011061947 0.00088495575 0.0003318584 0.00088495575 0.012057522 0.0024336283 0.01681416 0.0036504425 0.0044247787 0.0059734513 0.0045353984 0.001880531 0.007079646 0.0 0.001659292 0.0032079646 0.0030973451 0.0045353984 0.001880531 0.005420354 0.0 0.0040929206 0.021017699 0.011172567 0.0032079646 0.0038716814 0.0013274336 0.0013274336 0.00011061947 0.0022123894 0.0003318584 0.00022123894 0.00055309734 0.0006637168 0.009070797 0.00088495575 0.041261062 0.008960177 0.032743365 0.0125 0.0925885 0.00840708 0.020022124 0.0139380535 0.05431416 0.0014380531 0.0025442478 0.027433628 0.032300886 0.048451327 0.05564159 0.022234512 0.0006637168 0.05387168 0.03915929 0.08993363 0.019690266 0.0038716814 0.006637168 0.0038716814 0.018141594 0.0014380531 0.00022123894 0.0 0.0 0.0 0.00022123894 5.2446575 0.0 34.0 0.0 1.0 38616.0 49152.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1537869300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 22528.0 512.0 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 -22528.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.7688093 0.0 3.6614351 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 -22084.0 0.0 1136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 30180.0 1136.0 32768.0 0.0 0.0 13528.0 25088.0 12.0 40960.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.060373545 0.004819284 0.0040359683 0.00342737 0.003374955 0.0038379556 0.004009761 0.0030284324 0.004044704 0.0031973256 0.0039165784 0.0031274387 0.0045251767 0.003619559 0.0033458353 0.0034535776 0.0032235333 0.003107055 0.004120415 0.0034069864 0.0030604638 0.0032584767 0.003989377 0.0030895832 0.0034361058 0.0030691996 0.0032643005 0.0030371682 0.004397051 0.0037273013 0.003302156 0.003369131 0.0037826283 0.0032089734 0.0030284324 0.0037738925 0.0028391553 0.003931138 0.0033895147 0.0034739613 0.0030371682 0.0028391553 0.0039689937 0.0029381618 0.0030837595 0.0029527214 0.0033982506 0.0029352498 0.004580504 0.004204862 0.0031507344 0.0036690622 0.0039515216 0.0037884524 0.003881635 0.0030313444 0.0029585455 0.0035846157 0.0042252457 0.0030750236 0.0034098984 0.0034098984 0.0028391553 0.003738949 0.005457002 0.004516441 0.0029993127 0.002996401 0.006167519 0.0116885835 0.0036632384 0.0040272325 0.0032526527 0.0039107543 0.0030196966 0.0029672813 0.003121615 0.004513529 0.0044756737 0.0029585455 0.005197838 0.0042077736 0.0035787916 0.003238093 0.003482697 0.0045368248 0.004964882 0.002990577 0.005325964 0.0033807787 0.0031594702 0.0034128102 0.002865363 0.0037243895 0.0035263766 0.004434906 0.0032147975 0.003558408 0.0039020185 0.0035176405 0.004819284 0.0038525152 0.0031361745 0.0034128102 0.0038554273 0.0037768045 0.005020209 0.0046067117 0.0032235333 0.0035409362 0.0036574143 0.004134975 0.00305464 0.003246829 0.0035787916 0.0035205525 0.003424458 0.0042805728 0.004193214 0.0029352498 0.0035322004 0.002859539 0.0034040743 0.0030255204 0.002917778 0.0038991065 0.0028770107 0.0036632384 0.0045979754 0.00493285 0.0031303507 0.0039660814 0.0031390865 0.0032643005 0.002990577 0.0039020185 0.0032613887 0.00394861 0.00444073 0.00610928 0.0037709805 0.003683622 0.0031478223 0.0028799227 0.0035991753 0.0027576205 0.0035292883 0.004009761 0.003558408 0.003424458 0.0030226083 0.0033487473 0.003357483 0.0037768045 0.003374955 0.0034186342 0.0030255204 0.0029468976 0.004126239 0.004370843 0.0039224024 0.00342737 0.0032672125 0.00342737 0.0033866027 0.0029410736 0.0028449793 0.0028886585 0.002996401 0.0033982506 0.002923602 0.0032934202 0.003552584 0.0036603264 0.0028100358 0.003229357 0.0052386057 0.0035904394 0.0033138038 0.0032759483 0.0033545713 0.0032089734 0.0034098984 0.002978929 0.004126239 0.0038379556 0.003051728 0.003974817 0.0031449106 0.0032875962 0.0044174343 0.0033138038 0.0035292883 0.00445529 0.0037622447 0.003305068 0.0029993127 0.0033487473 0.01119064 0.004254365 0.0034652255 0.003048816 0.0028711867 0.0033982506 0.0061500473 0.0037855403 0.0037593327 0.003942786 0.0030051367 0.003622471 0.0027168533 0.0028304195 0.0034186342 0.0032118855 0.003121615 0.0029672813 0.003931138 0.0036632384 0.0030342562 0.004632919 0.0035292883 0.0030662876 0.0035176405 0.0029090422 0.0032060614 0.00330798 0.0030167846 0.0030895832 0.003424458 0.0041553588 0.0035234645 0.0040243207 0.0049707056 0.003925314 0.0041582705 0.003881635 0.005459914 0.003875811 0.003942786 0.0033370994 0.0035322004 0.0036428547 0.003101231 0.0041058552 0.0037098296 0.003360395 0.0037185655 0.004699894 0.004003937 0.0043737553 0.0034390178 0.0037651567 0.004592152 0.0030808474 0.004132063 0.006208286 0.020958085 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026621562 4.9705275e-05 2.6314558e-05 3.800992e-05 0.0022645139 0.0007616603 5.4091037e-05 2.7776478e-05 1.023344e-05 7.3095994e-06 4.38576e-06 1.608112e-05 4.38576e-06 5.2629115e-05 4.38576e-06 4.38576e-06 0.002372696 7.3095994e-06 2.92384e-06 2.92384e-06 2.92384e-06 4.38576e-06 4.38576e-06 4.38576e-06 0.00014911583 1.46192e-06 8.77152e-06 8.77152e-06 7.3095994e-06 0.00013011087 5.9938717e-05 0.00022659759 0.007097621 1.46192e-06 0.00017689231 8.4791354e-05 0.00016665887 0.0001622731 0.00071487884 0.00036401805 1.46192e-06 2.92384e-06 2.4852638e-05 5.8476795e-05 3.9471837e-05 5.4091037e-05 1.169536e-05 2.046688e-05 0.0025642074 0.00012280127 4.38576e-05 4.2395677e-05 0.001862486 0.00063739705 0.0001622731 6.1400635e-05 0.00025583597 0.00010672015 2.7776478e-05 2.7776478e-05 1.4619199e-05 1.3157279e-05 2.046688e-05 2.4852638e-05 0.0019940587 1.900496e-05 2.7776478e-05 7.3095994e-06 0.000103796316 1.608112e-05 1.608112e-05 2.19288e-05 0.00013157279 1.3157279e-05 1.023344e-05 3.9471837e-05 0.00017835422 1.169536e-05 0.000102334394 0.0003011555 0.0019633584 2.9238397e-05 6.7248315e-05 4.8243357e-05 5.1167197e-05 8.4791354e-05 0.00020759263 8.917711e-05 0.00017250655 7.3095994e-06 4.38576e-06 7.3095994e-06 1.3157279e-05 9.2100956e-05 2.046688e-05 0.00013595856 0.0030685698 3.9471837e-05 8.77152e-05 6.1400635e-05 0.00092685723 0.00043565212 0.0003157747 0.00013595856 0.00025291214 1.169536e-05 1.3157279e-05 1.754304e-05 0.00024414062 3.508608e-05 0.00014911583 0.00019297343 0.0040246653 0.00032016047 0.00011256783 0.00012718703 0.0011929267 0.00020174494 0.0013201137 0.00039179454 0.0003362416 0.00020759263 8.6253276e-05 9.356288e-05 9.6486714e-05 0.00010525823 0.00010672015 0.00025875983 0.0047351588 0.00032747007 0.000109643996 0.00014034432 0.00059207756 0.00038156108 0.00067102123 0.0003508608 0.0015130871 0.00052921503 0.00033185582 0.00045027133 0.0007353457 0.0006417828 0.00054091035 0.0029194541 0.0012104696 0.00019735919 0.00024121678 8.6253276e-05 0.0018610241 0.0010935161 0.00022659759 0.000115491675 0.001131526 0.00011110591 0.00013157279 9.7948636e-05 0.0012543272 9.0639034e-05 0.00047366205 0.00065932586 0.005707335 0.0011885408 0.0013668952 0.000839142 0.007876825 0.0020496116 0.0014107528 0.0009093142 0.003993965 0.0011885408 0.0009400145 0.0008376801 0.0072584325 0.0007996702 0.0023229907 0.0032264572 0.0035217651 0.00073095993 0.0006607878 0.0005452961 0.004194248 0.0012689464 0.00091954763 0.00054675806 0.0024340968 0.00084206584 0.00062570174 0.00043857598 0.0036898858 0.0004985147 0.0012587131 0.0017762327 0.0533937 0.051849913 0.04974621 0.05546232 0.04883836 0.05497404 0.055194788 0.05144204 0.05090259 0.05265397 0.049848545 0.055437464 0.053804502 0.050703768 0.056242984 0.053816196 1255.0 8.159363 10240.0 0.009277344 0.007519531 0.0071289064 0.006640625 0.0067382813 0.008007812 0.0064453124 0.006640625 0.007714844 0.006640625 0.0069335937 0.005859375 0.00703125 0.0063476562 0.007714844 0.0051757814 0.0068359375 0.0064453124 0.007421875 0.010058594 0.00625 0.006152344 0.00703125 0.007519531 0.0072265626 0.007714844 0.007714844 0.00703125 0.0051757814 0.007421875 0.0063476562 0.005859375 0.0073242188 0.038183592 0.0068359375 0.007519531 0.07167969 0.007910157 0.0072265626 0.041308593 0.00703125 0.039355468 0.006640625 0.005957031 0.0072265626 0.009179687 0.037890624 0.006640625 0.040527344 0.008007812 0.0068359375 0.007910157 0.0068359375 0.0060546873 0.0073242188 0.008203125 0.038867187 0.0078125 0.0065429686 0.0063476562 0.005957031 0.0060546873 0.0069335937 0.010839844 0.0068359375 0.011035156 0.007421875 0.008984375 0.012792969 0.019238282 0.008105469 0.010351563 0.00703125 0.011035156 0.0078125 0.0065429686 0.011230469 0.0107421875 0.01171875 0.011230469 0.007421875 0.005957031 0.011132812 0.010839844 0.0146484375 0.0078125 0.00625 0.0067382813 0.00703125 0.0067382813 0.0069335937 0.006152344 0.00625 0.0071289064 0.0071289064 0.0067382813 6.192048 0.0 0.0 0.0 9.0 343412.0 53248.0 0.0 0.0 61.0 0.0 1.0 0.0 0.0 0.0 1386525200.0 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 28672.0 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 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9863296 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8781216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1988783 0.0 5.0833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5722.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25347.0 0.0 5532.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 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 -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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -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 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 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 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 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 2.0 0.0 1.0 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 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 36456.0 5532.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 916.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.027331466 0.009876881 0.007843736 0.0069410517 0.008012551 0.006628692 0.0070656445 0.005869904 0.008654818 0.005950977 0.0061724368 0.005400663 0.0070147547 0.0053459117 0.004881584 0.004614499 0.007933232 0.0059787035 0.004806828 0.0049826624 0.0063665207 0.0052806325 0.0045278105 0.0047840155 0.006218764 0.004709962 0.0040564635 0.004326356 0.0049773976 0.0036328477 0.0029765414 0.0037970997 0.009309369 0.006650452 0.0050728605 0.0044986806 0.00600292 0.005130068 0.0047015385 0.0040420736 0.0055852705 0.004626081 0.0038904566 0.003948015 0.004694519 0.004130517 0.0037283103 0.0036019627 0.006137691 0.0049100122 0.006209288 0.004623975 0.005661079 0.00437128 0.00415333 0.0039445055 0.0046748654 0.0044147996 0.002590128 0.0033587432 0.0035826594 0.002590479 0.0021310647 0.0029740846 0.008075022 0.006649399 0.005698282 0.0054350575 0.005530871 0.0055154283 0.004328813 0.004143152 0.0066486974 0.0048271846 0.004059271 0.0037855178 0.005264488 0.004718034 0.0034864948 0.0037054976 0.005871308 0.004320039 0.0040382133 0.0045151757 0.0048254295 0.00462573 0.0036212658 0.0036960214 0.004873512 0.0032815307 0.0031734332 0.003433499 0.0036749635 0.0028501938 0.002156685 0.003125351 0.0055235005 0.0047643613 0.0035682698 0.0034282345 0.005274315 0.0034047198 0.002775438 0.0029428487 0.0043832124 0.004648192 0.0028849393 0.003144654 0.0039304667 0.0039027403 0.0026887495 0.0032450303 0.0042263307 0.003165712 0.0040336507 0.0029933879 0.0038357058 0.003863081 0.002549767 0.002866689 0.0028315925 0.0036774203 0.0014856384 0.002323043 0.0025631036 0.0022584654 0.0018137916 0.0027978998 0.007659479 0.0054003117 0.004810338 0.004779804 0.005202367 0.0045281616 0.003925904 0.0033197862 0.0048654396 0.0044039194 0.0037500702 0.0042793266 0.003637761 0.0037978014 0.0024493907 0.0026729559 0.008275073 0.0037918352 0.0047127698 0.0033120648 0.0034763168 0.0029484641 0.0028298376 0.0029477621 0.0034489415 0.0033977004 0.00287792 0.0027726302 0.0028593189 0.0022188062 0.0019348748 0.002320937 0.004586422 0.0037065505 0.0030555087 0.0029175791 0.0037904312 0.002896872 0.0032839875 0.0026764655 0.0036328477 0.0029523247 0.0026715521 0.0028544054 0.003133774 0.002950219 0.0020587656 0.002426578 0.004820516 0.0032130925 0.0023068986 0.002477117 0.0035493178 0.002838261 0.0028442272 0.0028638814 0.0035837123 0.0029214397 0.0024743094 0.0025346754 0.002661725 0.0019819043 0.0016498904 0.0025157232 0.005249747 0.0041164784 0.003504394 0.003587924 0.0038304413 0.0028428235 0.0030263786 0.0030186574 0.0058635864 0.0046713557 0.001644977 0.002560647 0.0025013336 0.0023054946 0.001674809 0.0026073253 0.0039423993 0.0026687444 0.0027617502 0.0030369076 0.003053403 0.0023970967 0.002581354 0.002558541 0.0039227456 0.0025967965 0.0025831086 0.0028512466 0.0026912063 0.002313216 0.0018306379 0.0024083278 0.0038388646 0.0026806772 0.0020882469 0.0023205862 0.0057916385 0.0018653836 0.001460018 0.0023697214 0.0027996546 0.0021777432 0.0015905773 0.0035064998 0.0027891258 0.0023083026 0.0014207098 0.002403414 0.0033275073 0.002015597 0.0028765162 0.001963654 0.0023718274 0.0016983238 0.0017972961 0.0024392128 0.0028772182 0.0021756373 0.0012294333 0.0019850628 0.0023279565 0.0018436237 0.0018618739 0.0055041974 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01504454 0.00029742843 0.00013396569 0.0001511723 0.0039896495 0.0023034022 0.00012992742 0.00043911953 0.000142569 0.00043911953 0.00012360662 0.00011974391 0.00011623236 9.639209e-05 0.000108155786 9.7445554e-05 0.0012701282 2.89703e-05 9.656766e-06 1.9840267e-05 0.00013659935 4.7054793e-05 1.5977559e-05 4.635248e-05 6.81241e-05 4.7581525e-05 1.1939275e-05 1.2817163e-05 3.616898e-05 1.5099672e-05 1.7206603e-05 1.4397361e-05 0.00041085153 5.6184826e-06 2.6336636e-06 2.2298353e-05 0.0001120185 6.8299676e-05 2.458086e-06 8.2521465e-06 2.0366999e-05 8.6033015e-06 1.5801983e-06 1.5626405e-05 8.778879e-06 5.9696376e-06 5.442905e-06 2.0366999e-05 0.00040997364 4.916172e-06 8.6033015e-06 3.704687e-05 5.899407e-05 2.9848188e-05 3.0374922e-05 1.6504293e-05 2.89703e-05 1.1061387e-05 3.6871293e-06 2.967261e-05 5.9696376e-06 3.8627068e-06 2.8092413e-06 3.6871294e-05 0.00019137956 6.8475256e-06 7.9009915e-06 2.2122775e-05 1.3343896e-05 8.778879e-06 2.9848188e-06 7.9009915e-06 4.565017e-05 8.4277235e-06 3.6871293e-06 3.5115515e-06 3.1603965e-06 2.019142e-05 1.0183499e-05 3.5115515e-06 0.0010439843 9.832344e-05 7.9887795e-05 6.320793e-05 8.3048195e-05 6.1101e-05 8.199473e-05 9.481189e-05 0.00046317367 6.724621e-05 5.6360404e-05 5.9696376e-05 6.777295e-05 5.7238292e-05 5.6360404e-05 8.287262e-05 0.00019805151 3.125281e-05 4.6176905e-05 4.424555e-05 1.158812e-05 1.1412542e-05 1.1061387e-05 9.832344e-06 0.00018909706 2.9145878e-05 2.9848188e-05 1.948911e-05 2.1069309e-05 3.8275914e-05 1.6855447e-05 1.1763698e-05 0.00010762906 5.355116e-05 5.495578e-05 5.4077893e-05 0.00016469177 5.1444233e-05 3.0726078e-05 1.8260069e-05 4.055842e-05 3.265743e-05 1.1763698e-05 1.0359077e-05 2.3702973e-05 1.87868e-05 1.1939275e-05 3.406205e-05 0.0015394642 0.0008462839 0.0011252767 0.0017650814 0.0011026273 0.00075076974 0.0006197888 0.00036783502 0.00082819944 0.0007042417 0.0006090786 0.00029725285 0.0005356872 0.0002717941 0.0003318416 0.00017101257 0.10707335 0.078022115 0.07817978 0.06417097 0.07622736 0.05877407 0.059568908 0.04627909 0.067691304 0.052804783 0.04876878 0.04468713 0.052214667 0.04369213 0.040871475 0.03782415 20391.0 5.9311953 120943.0 0.024953904 0.015594123 0.011625311 0.011856825 0.014874776 0.012997858 0.01183202 0.010186617 0.014180234 0.011145746 0.008524677 0.008574287 0.0117493365 0.009359781 0.009831077 0.009128267 0.015792564 0.013758548 0.021787124 0.013130153 0.014767287 0.011608775 0.009855882 0.010335447 0.011765873 0.011443407 0.006325294 0.00800377 0.008574287 0.0065568076 0.0056059468 0.006680833 0.019662155 0.01722299 0.013064005 0.014378674 0.014378674 0.013196299 0.0095334165 0.011096137 0.015544512 0.012220633 0.009244024 0.009293634 0.013196299 0.012592709 0.008747922 0.008987705 0.015933126 0.011674921 0.009351512 0.012369463 0.011286308 0.011302846 0.008078186 0.009591295 0.012071802 0.0078053297 0.0070363726 0.008078186 0.009244024 0.006515466 0.0049610147 0.0070859827 0.01334513 0.012832492 0.008731386 0.008582556 0.014370406 0.0097731985 0.005936681 0.00735057 0.011104405 0.012518294 0.0063418304 0.007557279 0.010848085 0.009682247 0.0071686665 0.009888956 0.01062484 0.0072430815 0.014105818 0.008020307 0.010616572 0.009492075 0.005953218 0.0066891015 0.006788322 0.0078880135 0.0035636623 0.005845729 0.005655557 0.0046798903 0.0037786395 0.005870534 6.4977303 6.0 0.0 0.0 41.0 2849280.0 17305600.0 0.0 0.0 15.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 2764800.0 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 -2762240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.8890767 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.752631 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2764800.0 0.0 0.0 0.0 0.0 0.0 14450688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 860.0 17304420.0 84836.0 17219584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 17216436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.52398753 0.0030778556 0.0018274066 0.0018139367 0.0019216954 0.00080145476 0.00064206176 0.0006802263 0.0016118893 0.00039735992 0.00048715877 0.00041980963 0.0011067708 0.0005096085 0.000312051 0.0017308729 0.0012998384 0.0002738865 0.0002581717 0.00029633622 0.00052532327 0.0005657328 0.00031878593 0.00024021193 0.0005859375 0.00031878593 0.00019755747 0.0002581717 0.00043327946 0.00018633262 0.00020429239 0.00048042386 0.0017578125 0.0003277658 0.00024021193 0.00036593032 0.000936153 0.00037042025 0.00024021193 0.0004287895 0.00054328307 0.00037042025 0.00042429956 0.0006173671 0.00051185343 0.0014188219 0.0004894037 0.00035470547 0.0011135058 0.0007857399 0.0007251257 0.0017869971 0.0011337105 0.0008418642 0.0008418642 0.001016972 0.0012684087 0.0014255567 0.0013200431 0.0017825072 0.001333513 0.0013133081 0.0011090158 0.0014951508 0.003827676 0.0030801005 0.001167385 0.0012616739 0.0019643498 0.0027074353 0.0017645474 0.0012639188 0.0009810524 0.0010641164 0.0008194145 0.0007857399 0.001093301 0.0014861709 0.0011269755 0.0009900323 0.0021102729 0.0011786099 0.0012459591 0.0015333154 0.0014300467 0.001876796 0.0019194505 0.0017443426 0.0016141343 0.0020765983 0.0012437141 0.0014637213 0.0014457615 0.002101293 0.0018184268 0.0017016882 0.0016994432 0.0023257902 0.0015422952 0.002018229 0.0020968032 0.0031070402 0.0026423312 0.001721893 0.002332525 0.0019351653 0.0021619073 0.0013402478 0.0020272091 0.0015602551 0.002202317 0.0022808907 0.00195088 0.0015063757 0.002743355 0.0024649785 0.004200341 0.0040140087 0.0022045618 0.0020563938 0.002337015 0.0024380388 0.0021506825 0.0020002695 0.002114763 0.0023617097 0.0021282327 0.002586207 0.0027456 0.0026086567 0.0022292566 0.0040925825 0.0025951867 0.0035178699 0.0021484375 0.0020114942 0.0024582436 0.004061153 0.0024245689 0.0067483834 0.0026715158 0.003607669 0.0025413074 0.0027119252 0.0030127515 0.002891523 0.0031901042 0.003823186 0.0037288973 0.0038815553 0.001488416 0.0010977909 0.0013380029 0.0011314655 0.0010618714 0.0012055496 0.0012931034 0.0011898348 0.0011067708 0.0013896372 0.0016096444 0.0014435166 0.0014861709 0.0016567888 0.0016253592 0.0016567888 0.001645564 0.0017623025 0.0019306752 0.0019396552 0.0020406789 0.002197827 0.0023751797 0.0024043643 0.002413344 0.002646821 0.0033360273 0.0027860093 0.002494163 0.0006465517 0.0006779813 0.0006712464 0.00072063575 0.0007251257 0.0007879849 0.00063532684 0.00063532684 0.00061961205 0.000779005 0.0006083872 0.0007565553 0.00087104883 0.0025300826 0.0015961746 0.0010753412 0.0017308729 0.0013380029 0.00093390804 0.0013447378 0.0015378053 0.0013761674 0.0013626976 0.00095186784 0.0011067708 0.001798222 0.0011853449 0.001241469 0.0012684087 0.0015849497 0.0014524964 0.0015692349 0.0016680136 0.0017645474 0.0016612788 0.0018049569 0.0017780173 0.0020025144 0.0016073994 0.001712913 0.0019104705 0.0019778197 0.0017869971 0.0018296515 0.0026917206 0.0027725396 0.0021394575 0.0021529275 0.00033225576 0.0004938937 0.0005679777 0.00016163793 0.000157148 0.0022270116 0.0004534842 0.00020878232 0.00081492454 0.0006869612 9.8778735e-05 0.00013020834 0.00012571839 0.0009428879 0.0001638829 0.00013245331 0.00022000719 0.00035021553 0.00024470186 0.000628592 0.0004938937 0.001019217 0.00042429956 0.0003030711 0.0005679777 0.0013380029 0.0007879849 0.0014861709 0.095000446 0.18413717 0.0 7.875504e-06 2.81268e-05 3.262709e-05 2.5876656e-05 4.3877808e-05 1.687608e-05 3.0376945e-05 2.250144e-06 1.125072e-06 0.0 0.0 1.125072e-06 0.0 4.500288e-06 0.02202891 1.4625936e-05 4.1627663e-05 0.00013838385 0.00012150778 0.00015525994 0.00014288415 9.788127e-05 0.00010688184 2.9251873e-05 1.4625936e-05 4.500288e-06 6.750432e-06 4.500288e-06 1.687608e-05 0.00011700749 0.016572312 1.5751008e-05 4.6127952e-05 0.00021038846 0.00015751008 0.00021376368 0.0001485095 0.00014400922 7.988011e-05 3.1502015e-05 6.750432e-06 4.500288e-06 2.3626511e-05 4.500288e-06 1.3500864e-05 0.0007605487 0.028988605 4.2752737e-05 9.338098e-05 0.00057378673 0.00025764148 0.0005197833 0.00025764148 0.00037464898 0.000115882416 2.0251297e-05 7.875504e-06 7.875504e-06 3.7127375e-05 6.750432e-06 4.6127952e-05 0.007820375 0.025802402 9.4506046e-05 0.00016651065 0.0008719308 0.00031164495 0.0007267965 0.00029251873 0.0005816622 0.00015863516 7.312968e-05 2.0251297e-05 2.2501441e-05 9.9006334e-05 9.000576e-06 7.0879534e-05 0.005260837 0.01351549 0.00012938328 0.0002373902 0.00041965186 0.00048715618 0.0003971504 0.0002688922 0.0002452657 7.988011e-05 6.075389e-05 3.825245e-05 2.9251873e-05 7.0879534e-05 0.00012938328 6.075389e-05 0.002263645 0.0119583905 8.5505475e-05 0.00019126224 0.00040840113 0.00053215906 0.00062666513 0.00041515156 0.00043202765 0.00019126224 0.00015413486 6.4129104e-05 5.9628816e-05 3.937752e-05 0.00011813256 2.2501441e-05 0.0008303031 0.016314669 5.4003456e-05 0.0009563112 0.00042077692 0.0008550547 0.0007087954 0.0023333994 0.0016932334 0.0003543977 0.00029026857 0.00017776138 0.00022838962 7.875504e-05 1.3500864e-05 1.2375792e-05 0.00085392967 0.03492111 0.00021376368 0.0006469164 0.0004950317 0.0010046893 0.0011520737 0.003204205 0.0031648276 0.0023559008 0.002389653 0.00087755616 0.0009416853 0.0017281106 0.00019013717 5.62536e-05 0.0042617726 0.030110301 0.00033977174 0.0005366593 0.00072117115 0.0018023653 0.0010958201 0.0020746328 0.0019272483 0.003606981 0.001126197 0.0027778028 0.00039265014 0.0014119653 0.0020645072 0.00011925763 0.005192207 0.04537528 0.0004500288 0.001000189 0.0014468426 0.0023412749 0.0024099043 0.0034865981 0.0035372265 0.0055679814 0.003548477 0.005260837 0.0009506858 0.0018169913 0.0049750684 0.00036789855 0.009630617 0.04451685 0.0005265337 0.0008213026 0.004064885 0.003626107 0.0029803158 0.004557667 0.003545102 0.0054183467 0.00640391 0.0043169013 0.0037206132 0.0013804634 0.004358529 0.0024245302 0.013328728 0.021884901 0.00042977752 0.0007402974 0.0026450444 0.0027721773 0.0022467687 0.0021522627 0.00289031 0.0048243087 0.003845496 0.0040705106 0.0018844956 0.001436717 0.0041301395 0.0011531988 0.009713871 0.03070209 0.0018631192 0.0019452495 0.0033212125 0.0056827385 0.008098268 0.010350662 0.015028711 0.015643 0.012381418 0.010503672 0.0075031053 0.008555047 0.009498983 0.005292339 0.033353884 0.014785696 0.002141012 0.0019081221 0.0029656899 0.005377844 0.00515733 0.003249208 0.00562311 0.010719686 0.0025201612 0.0027282997 0.002002628 0.0056771133 0.0033335884 0.003857872 0.0109019475 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 522.0 13.603448 7101.0 0.026475145 0.0019715533 0.0028165048 0.002394029 0.004224757 0.001830728 0.001126602 0.008167864 0.0054921843 0.0029573299 0.0021123786 0.001830728 0.005351359 0.0033798057 0.0039431066 0.0025348542 0.011125194 0.010561893 0.00859034 0.011266019 0.014364174 0.0061963103 0.007745388 0.011266019 0.01211097 0.012533446 0.013660048 0.014082524 0.013237572 0.00887199 0.0063371356 0.007886213 0.006618786 0.0147866495 0.0046472326 0.009576116 0.022391213 0.008308689 0.007322912 0.015772427 0.0076045627 0.013660048 0.0038022813 0.0032389804 0.009716941 0.004788058 0.01211097 0.0033798057 0.019715533 0.0039431066 0.006055485 0.012533446 0.010843543 0.0050697085 0.006618786 0.011829319 0.014364174 0.0050697085 0.0038022813 0.0038022813 0.0054921843 0.0030981551 0.0030981551 0.0074637374 0.00887199 0.031967327 0.006477961 0.025489368 0.019997183 0.05759752 0.0059146597 0.0061963103 0.0104210675 0.024081115 0.0054921843 0.003661456 0.027742572 0.009716941 0.021405436 0.032953106 0.012392621 0.0025348542 0.039712716 0.022250388 0.047317278 0.0147866495 0.00859034 0.0032389804 0.00887199 0.00887199 0.0029573299 0.002253204 0.004928883 0.0015490776 0.0019715533 0.0028165048 6.0974593 0.0 0.0 0.0 6.0 445440.0 466944.0 1.0 0.0 75.0 0.0 1.0 1.0 0.0 0.0 1429114000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 12.0 0.0 5.0 1.0 5.0 1.0 43008.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22016.0 0.0 0.0 0.0 0.0 0.0 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 -43008.0 0.0 371200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.51366 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.6965165 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.3667338 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.700094 0.0 3.685955 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 21530.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42788.0 0.0 370768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 100.0 68844.0 370768.0 90112.0 0.0 0.0 6168.0 74240.0 3584.0 462848.0 56.0 49536.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 67584.0 0.0 0.0 316.0 49152.0 0.0 0.0 0.0 0.0


Input: 0.056679133 0.008309308 0.006175026 0.005651034 0.0057587316 0.0049686017 0.0041960767 0.0054232115 0.0050441977 0.005623074 0.0037487159 0.0044673923 0.0049530687 0.0031729464 0.0043203435 0.004639295 0.0050369487 0.0037621781 0.004935464 0.0041639744 0.00436073 0.0031791597 0.004108054 0.0038346671 0.0050814776 0.0033407065 0.0031719108 0.002932697 0.0041422276 0.0034318354 0.003785996 0.0037922093 0.0061729546 0.0038191339 0.0034918978 0.0030269327 0.004882651 0.004161903 0.003841916 0.003722827 0.0047314595 0.0038916226 0.0033344931 0.003103564 0.0043638367 0.0037176493 0.0037269692 0.0035830268 0.0055143405 0.003949614 0.0030932084 0.0028923103 0.0036720848 0.0030818172 0.00268727 0.0028643503 0.0041722585 0.0033127465 0.0035136444 0.0033500264 0.0040065697 0.0032330086 0.0035022534 0.0034577243 0.006599604 0.003951685 0.003622378 0.0032267952 0.0041567255 0.003218511 0.0035374623 0.0030631772 0.004998633 0.003767356 0.0037083293 0.0035809558 0.00413705 0.0031304886 0.0035581735 0.003466009 0.0051695 0.003622378 0.0036451602 0.0033262088 0.003925796 0.0033831643 0.0033520977 0.003538498 0.0046455082 0.003650338 0.0038087782 0.00350536 0.0041070185 0.0033800576 0.003687618 0.003788067 0.005907852 0.003631698 0.0033396708 0.0029503016 0.0040138187 0.0030548929 0.0032702887 0.0030372883 0.0049727443 0.0031646618 0.0031905507 0.003049715 0.0035737068 0.0028405325 0.0030911374 0.0031915864 0.0045067435 0.0032920353 0.003220582 0.0031356663 0.0038802316 0.0033241375 0.003283751 0.0036265203 0.0046268683 0.003293071 0.0034711866 0.0031677685 0.0040366007 0.0031936574 0.003466009 0.0033448488 0.008641723 0.0045958012 0.0040189964 0.0035229644 0.004365908 0.0034452977 0.0030207194 0.0033873066 0.0045440234 0.0038408805 0.002967906 0.0031822664 0.0037290403 0.0027970392 0.0028374258 0.002977226 0.00522542 0.0032143686 0.0034908622 0.0030269327 0.0036700135 0.0031843374 0.003304462 0.0032702887 0.0045492016 0.002839497 0.0030486796 0.00269659 0.0035115734 0.0032247242 0.0029782616 0.0031491285 0.0050120954 0.0034152665 0.003269253 0.0028011813 0.003771498 0.003014506 0.003059035 0.0031843374 0.00413705 0.0029937949 0.0031263463 0.0030186484 0.003650338 0.0028405325 0.0029181994 0.0030393593 0.004669326 0.0031180617 0.0038429515 0.0028519237 0.0035654223 0.0031646618 0.0029824039 0.0031170263 0.004254068 0.0031511995 0.003332422 0.0031791597 0.0036524092 0.0031998707 0.0033313865 0.0033427777 0.0067124795 0.004061454 0.0037217913 0.0033344931 0.0041287653 0.0032661464 0.003302391 0.0032361152 0.004330699 0.0033407065 0.0031232396 0.0030766395 0.003641018 0.0029875815 0.0030776751 0.0027980746 0.0042519965 0.0032744308 0.0031004574 0.003003115 0.0037124713 0.003021755 0.0029337327 0.002947195 0.0039744675 0.003112884 0.002729728 0.0026365279 0.003538498 0.0029534083 0.0035882045 0.002881955 0.0049551395 0.0032475065 0.003395591 0.0029720482 0.0038108493 0.0030724972 0.003204013 0.0029109505 0.004446681 0.005452207 0.0034691156 0.003131524 0.0037963516 0.003086995 0.0032454352 0.003180195 0.0046113348 0.0033241375 0.0034121599 0.003040395 0.0037404315 0.0030880307 0.0033210309 0.0032464708 0.0043534813 0.0030466083 0.0031822664 0.0028612437 0.004016925 0.0030932084 0.0042292145 0.004515028 0.011667952 0.0 0.0 0.0 0.0 0.0 1.0366906e-06 3.1100717e-06 0.0 1.0366906e-06 2.0733812e-06 0.0 0.0 1.0366906e-06 0.0 1.0366906e-06 0.0020516105 4.1467624e-06 2.0733812e-06 6.2201434e-06 5.1834527e-06 1.0366906e-06 3.1100717e-05 1.1403596e-05 0.0 0.0 1.0366905e-05 0.0 0.0 0.0 0.0 0.0 0.0009501269 2.5917263e-06 6.2201434e-06 1.29586315e-05 9.330215e-06 5.701798e-06 5.1834526e-05 2.2807191e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028617843 3.5765825e-05 2.7990645e-05 1.0885251e-05 2.2288847e-05 3.4729135e-05 4.250431e-05 1.8142086e-05 3.5765825e-05 5.1834527e-06 9.848561e-06 1.6068703e-05 2.643561e-05 7.2568337e-06 1.7105394e-05 1.29586315e-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 0.00087963196 1.1921941e-05 1.2440287e-05 8.293525e-06 1.3476977e-05 1.6068703e-05 1.3476977e-05 1.1403596e-05 1.0885251e-05 1.3476977e-05 6.7384885e-06 1.3476977e-05 1.1921941e-05 1.0366905e-05 1.8142086e-05 9.848561e-06 0.0016244941 6.5311506e-05 5.701798e-05 4.8724454e-05 4.7687765e-05 3.058237e-05 2.2807191e-05 0.0005546294 3.0064026e-05 1.7105394e-05 1.9697121e-05 0.0002773147 2.073381e-05 0.00027420465 1.658705e-05 7.775179e-05 0.0007427888 3.732086e-05 3.421079e-05 2.073381e-05 2.2288847e-05 1.7105394e-05 1.3995323e-05 1.1921941e-05 1.658705e-05 2.2807191e-05 1.9178775e-05 1.7623739e-05 6.7384885e-06 4.6651076e-06 2.2807191e-05 5.0797837e-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 0.0013181521 3.732086e-05 4.3022657e-05 6.012805e-05 4.250431e-05 3.1619064e-05 9.174711e-05 5.8573016e-05 3.9394243e-05 5.7536326e-05 4.4059347e-05 4.3022657e-05 7.827014e-05 7.775179e-06 8.8118695e-06 0.00016120537 0.0011688686 6.945827e-05 4.613273e-05 4.613273e-05 3.835755e-05 3.7839207e-05 4.7687765e-05 6.012805e-05 5.2352872e-05 5.0797837e-05 6.842158e-05 5.1834526e-05 7.516007e-05 1.4513667e-05 4.4059347e-05 0.00025139746 0.0045800987 0.00029234673 0.0002736863 0.00026642947 0.00030582372 0.00023843882 0.0003296676 0.00030426867 0.00032603918 0.00035195643 0.00032500247 0.00035351148 0.00051938195 0.00015757697 0.00018815933 0.0007417521 0.0031966353 0.0002736863 0.00030064027 0.00024880574 0.00028871832 0.00028249816 0.00034314458 0.0009335398 0.0004074194 0.0003514381 0.00032448414 0.00066918373 0.00046288234 0.00043541004 0.00017468235 0.0008609715 0.0022511736 0.00018193919 0.00029027337 0.0002451773 0.00029856688 0.00029493845 0.00028560826 0.0004027543 0.0004431852 0.00032292912 0.000246214 0.0003172273 0.00046080895 0.00016172373 0.00018971437 0.0010387639 0.0003446996 5.4426255e-05 4.3022657e-05 4.509604e-05 5.4426255e-05 4.820611e-05 5.338956e-05 5.1834526e-05 7.0494956e-05 4.820611e-05 3.835755e-05 4.92428e-05 4.4577693e-05 2.643561e-05 4.1985968e-05 4.716942e-05 0.09917293 0.062015347 0.062453866 0.055310033 0.0606013 0.059529882 0.054954965 0.054446988 0.060470678 0.053165637 0.05215642 0.052961927 0.05645143 0.050579615 0.056671727 0.053855557 4034.0 5.7032723 23007.0 0.017168688 0.0106054675 0.009431912 0.008649541 0.013517625 0.012430999 0.011822489 0.011474769 0.012561394 0.009736167 0.008562611 0.008823401 0.01382188 0.010518538 0.011692094 0.009866563 0.016647108 0.011909419 0.008693007 0.0074759857 0.009866563 0.008562611 0.007910636 0.008388751 0.010214282 0.008519147 0.009562307 0.008910332 0.011431304 0.009040726 0.009562307 0.009301517 0.018211849 0.0108227935 0.010388142 0.009040726 0.0108227935 0.008866867 0.010735863 0.008301822 0.014213066 0.011648629 0.009736167 0.008953797 0.011518233 0.009301517 0.011648629 0.009562307 0.014734646 0.009562307 0.009953492 0.009040726 0.012126744 0.009388447 0.009518842 0.009736167 0.01364802 0.009214587 0.010562003 0.009562307 0.011127048 0.009779632 0.010431608 0.010648933 0.017951058 0.010996653 0.009692702 0.008171426 0.01303951 0.008214891 0.009344982 0.008301822 0.0153866215 0.009301517 0.008910332 0.008693007 0.011344373 0.008127961 0.010040423 0.007823706 0.013126439 0.008041031 0.008649541 0.008823401 0.011387838 0.009388447 0.008301822 0.0080844965 0.011083583 0.008866867 0.011865954 0.008432216 0.011257444 0.0089972615 0.010083888 0.0087799365 6.554888 0.0 0.0 0.0 14.0 965664.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 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 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 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 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0