Input: 0.1386638 0.016866535 0.022366654 0.0070092217 0.018482318 0.005889361 0.013646502 0.005813243 0.004716448 0.004065983 0.020576145 0.003550455 0.0031156582 0.0032949974 0.0030556864 0.0030424232 0.0033301732 0.0069648195 0.0047423975 0.0047389376 0.00303262 0.0030274303 0.005109149 0.0035706377 0.0030141673 0.002831368 0.0029138296 0.0028440545 0.0028763472 0.0024674998 0.0025090189 0.0041305684 0.011502505 0.0027275705 0.0031087385 0.0025136322 0.0026958545 0.0031485274 0.0027558266 0.0025274719 0.007350024 0.002443857 0.003433971 0.0033688091 0.0041403715 0.0026895113 0.00404061 0.0022795107 0.004859458 0.0030470365 0.0026329993 0.0029853345 0.0032079227 0.0032061927 0.0027356436 0.0029766848 0.003141031 0.0027690895 0.0027523665 0.0024634632 0.0029484287 0.0035839009 0.0025095956 0.0024052213 0.0026808616 0.0041017355 0.0031802433 0.0035475716 0.003948346 0.0032713546 0.002582254 0.0028054188 0.0027483301 0.0037839995 0.002197626 0.0024496235 0.0025643776 0.0029397788 0.0029293993 0.0028826902 0.003533732 0.0025349683 0.0031612138 0.0034293577 0.0034109047 0.0025482313 0.0029392024 0.002336023 0.002528625 0.0030060941 0.002543618 0.0026675984 0.0029155596 0.0024559668 0.0025632242 0.004215913 0.0027206508 0.00665458 0.004335857 0.004425238 0.003781116 0.010052798 0.0034864463 0.003891257 0.0027944623 0.0066701495 0.0024357839 0.0029069097 0.005323664 0.003987558 0.0061159856 0.018149588 0.0079353275 0.0025263184 0.010432813 0.007691403 0.008345327 0.005082046 0.002404068 0.0026514523 0.0030493431 0.00317909 0.002287584 0.011961521 0.0020534627 0.0037372906 0.0036444494 0.0020788354 0.0037124944 0.0033134504 0.0025955169 0.002422521 0.0024334772 0.0022374152 0.0028204117 0.0022339553 0.0026306927 0.0025897503 0.0021157411 0.002105938 0.00303954 0.0024490468 0.0023054602 0.0024830694 0.0023752353 0.0022397218 0.0031917766 0.00303262 0.0020661491 0.0021682167 0.0020102137 0.0024496235 0.0022085824 0.0021566837 0.002137654 0.002239145 0.0023244899 0.0023118034 0.002209159 0.0021416906 0.002287584 0.002257598 0.00289307 0.0022374152 0.0022564447 0.001994644 0.0021140112 0.0021422673 0.002287584 0.002263941 0.0022080059 0.0022345318 0.002304307 0.0022916205 0.0022633646 0.0022281886 0.0024034912 0.002329103 0.0020067538 0.0021284276 0.002101325 0.0022258821 0.0020084837 0.002041353 0.0022005092 0.0021520704 0.001969848 0.0020448128 0.0022737442 0.002122661 0.0022529848 0.0020586525 0.002494026 0.0023308329 0.0023302564 0.0021457272 0.002242605 0.0019727312 0.0022714376 0.0024034912 0.0024086812 0.001987724 0.002137654 0.0018245312 0.0022668245 0.0020690323 0.0022097358 0.0022356852 0.0026658685 0.0019669647 0.0020569225 0.002528625 0.0025361215 0.0022114657 0.0022005092 0.0023118034 0.002300847 0.0021785966 0.0024161777 0.0019883008 0.0023446726 0.0022137724 0.002485376 0.0021624502 0.0023296797 0.0022662478 0.0021970493 0.0020747988 0.0021486105 0.0020234766 0.0020177101 0.0023498626 0.002062689 0.0022645178 0.002197626 0.0026064732 0.001986571 0.002242605 0.002111128 0.002383885 0.0022864307 0.0021070915 0.0019300588 0.0021883997 0.002105938 0.0021584136 0.0020407764 0.002334293 0.0020730689 0.002049426 0.0020269367 0.0022472183 0.0024288641 0.0023244899 0.0032869242 0.0065075336 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.6373927e-06 0.0 0.0005693729 3.4629875e-06 1.1543292e-06 2.885823e-07 5.771646e-06 4.3287346e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.946051e-06 0.0 0.00052579696 1.1543292e-05 4.0401524e-06 1.4429115e-06 2.1066508e-05 1.8180684e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.811798e-06 0.0 0.00050155603 2.0200761e-05 5.483064e-06 2.5972406e-06 2.6838154e-05 2.4529496e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0100381e-05 0.0 0.00049145566 2.1643673e-05 6.3488105e-06 2.885823e-06 3.0589723e-05 2.7992483e-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 0.0017239907 3.75157e-05 0.00013909666 2.9146811e-05 1.385195e-05 0.00014457974 3.7227117e-05 1.9046432e-05 3.405271e-05 0.000117741576 3.4629875e-06 1.0100381e-05 1.5872027e-05 1.1831874e-05 4.617317e-06 2.1932256e-05 0.008525009 0.00038237154 0.0011540406 0.00044903407 0.0024578555 0.0023389596 0.013593092 0.006921358 0.00013072779 0.00014371399 9.263492e-05 5.2233398e-05 8.513178e-05 4.646175e-05 4.8193244e-05 0.00022220837 0.10667329 0.008208435 0.009584973 0.003995422 0.0047062 0.0057133525 0.019918527 0.018774588 0.0013684572 0.0011055588 0.0013358474 0.0010085951 0.0010048436 0.0011266253 0.0012478299 0.0015796995 0.062079825 0.009457131 0.0068774936 0.002768947 0.0020183446 0.0025568393 0.0074892878 0.009908762 0.002774719 0.0020942418 0.0009777169 0.00065796764 0.0010114809 0.002381381 0.00070818095 0.0014859103 0.02101312 0.0036996251 0.0030967765 0.0013808663 0.00070846954 0.0007194357 0.0024936397 0.0037195373 0.0016466506 0.001001092 0.0006345925 0.000420753 0.00050617335 0.00092057756 0.0005650441 0.0006178547 0.019009493 0.0020633633 0.0018804022 0.003283778 0.002650917 0.0014429115 0.004026877 0.0032067264 0.0016365502 0.0013003518 0.0009341409 0.0010042664 0.00074252224 0.00058437913 0.0008389087 0.001493702 0.0044620596 0.0005950567 0.00084381463 0.0015493984 0.0007482939 0.0005318572 0.0012420582 0.00096588494 0.0004729864 0.00035524482 0.0004643289 0.00037429124 0.00037429124 0.00024414062 0.000277039 0.001274668 0.0042291735 0.0008585323 0.00081062765 0.00140453 0.00071106676 0.00083458 0.001584894 0.0012293606 0.0006392098 0.000583802 0.00041671284 0.0006539275 0.00062218343 0.00038410304 0.00046490607 0.0011208537 0.0071155736 0.0015098626 0.002170716 0.0024543924 0.0023083698 0.0016729116 0.0043717334 0.0028572534 0.0013600884 0.0011999252 0.0010778549 0.0010357219 0.001502648 0.0012700506 0.0013540281 0.0021998629 0.0388123 0.031320415 0.032112285 0.030883212 0.032302458 0.030863011 0.032920893 0.031424593 0.031458355 0.02939355 0.030357415 0.029131517 0.02949542 0.02962961 0.029784868 0.0301101 9066.0 15.167108 137505.0 0.078586236 0.0019562924 0.0048798225 0.0027708083 0.0022253736 0.0017962983 0.0017017563 0.0019126578 0.0021235591 0.0020071997 0.0019199302 0.0018835679 0.010232355 0.0035780517 0.021875568 0.004007127 0.021141049 0.009796008 0.004916185 0.008094251 0.0059343297 0.008588779 0.0032217011 0.0051489035 0.0046107415 0.003803498 0.004356205 0.0018253882 0.004465292 0.010566888 0.0042471183 0.0018181157 0.0019053853 0.011548671 0.008145158 0.0115850335 0.012814079 0.0068142978 0.004225301 0.0050543617 0.0024071853 0.00838515 0.0018981128 0.0046325587 0.004319843 0.005577979 0.0031998837 0.006327043 0.0104868915 0.004101669 0.006807025 0.012537726 0.011614123 0.0029089851 0.0059488746 0.0026617213 0.0036798662 0.0018253882 0.0021090142 0.0017672085 0.0016726664 0.0018181157 0.0017890258 0.018093888 0.0016799389 0.033744227 0.016603032 0.02061016 0.014457656 0.07212829 0.0152648995 0.015584888 0.0067197555 0.040005818 0.003127159 0.008726955 0.029031672 0.017664813 0.03501691 0.029286208 0.0154685285 0.0021235591 0.041860297 0.026275408 0.052318096 0.023613688 0.0041525764 0.008588779 0.007447002 0.012901349 0.0026908112 0.0018835679 0.0017235737 0.0016072143 0.0015126723 0.0015272172 5.7553444 1.0 36.0 0.0 8.0 1734144.0 1753088.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542254800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 1728512.0 512.0 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 -1728512.0 0.0 4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.222704 0.0 5.337254 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 -1728140.0 0.0 4196.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 1736244.0 4196.0 1736704.0 0.0 0.0 0.0 0.0 12.0 1744896.0 28.0 1735932.0 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: 0.10919753 0.008194014 0.004841055 0.003925231 0.0064363917 0.0034070548 0.0034649463 0.0035579521 0.008325931 0.0029553117 0.0028338344 0.003012254 0.006214316 0.0028822355 0.0025035683 0.006918504 0.005882152 0.00259088 0.0022900342 0.00230427 0.004071383 0.0029742925 0.0024779444 0.0022530218 0.0033472653 0.0024276453 0.0021286975 0.0022757987 0.0030492665 0.0022273976 0.002234041 0.0023631104 0.0043057958 0.0025548167 0.0023925307 0.0023593144 0.0039660395 0.0023289449 0.002166659 0.002349824 0.0026971726 0.0022549198 0.0021714042 0.003082483 0.0026231476 0.0032580555 0.002351722 0.0021305955 0.0037354229 0.0027313381 0.0027968218 0.005056487 0.0030169992 0.002775943 0.0027180514 0.0027721468 0.0034810798 0.0032495141 0.003036929 0.0043428084 0.0032077562 0.0031394253 0.0026497205 0.0039413646 0.004328573 0.002988528 0.0033966154 0.00310526 0.0031109543 0.013936657 0.006285494 0.004444356 0.0033966154 0.0022036717 0.002474148 0.0022236016 0.0026108099 0.010285699 0.0023858873 0.0039926125 0.0067163585 0.004006848 0.002988528 0.0031792852 0.0027389303 0.0074661 0.00404481 0.003410851 0.0026620582 0.0037781296 0.0021343918 0.002474148 0.002426696 0.004347554 0.003033133 0.003059706 0.002516855 0.0031460687 0.002356467 0.002586135 0.0034744367 0.0039366195 0.0039650905 0.0024134095 0.0034848761 0.002874643 0.0043437574 0.0023915817 0.0034174942 0.0024428298 0.0029809356 0.0030065598 0.0030407251 0.0022141112 0.0037657921 0.0034222393 0.007039981 0.008141817 0.0025994214 0.00247225 0.0026734467 0.00247225 0.002192283 0.0022217035 0.0026240966 0.003387125 0.0023640594 0.0025225491 0.0036110985 0.0026943255 0.0021543216 0.009964923 0.0035589011 0.006898574 0.002186589 0.0020802964 0.0031925717 0.01152135 0.0028765413 0.026774326 0.0024883838 0.009496097 0.0020129145 0.0020167108 0.002681039 0.0020404367 0.0020632136 0.002308066 0.0025614598 0.0029562607 0.002020507 0.002020507 0.0024342884 0.0021533726 0.0020774493 0.0021002262 0.0024627596 0.0022150602 0.0021476783 0.0021571687 0.003151763 0.0028139045 0.002188487 0.0023223017 0.002447575 0.002139137 0.0020423348 0.002022405 0.002637383 0.0020385387 0.0020556212 0.0020812454 0.0024656067 0.0021685571 0.0019948827 0.0020157616 0.0026060648 0.0020167108 0.0020499271 0.0020299973 0.0026165042 0.002238786 0.0030853301 0.0026079628 0.003318794 0.0023896836 0.0022558689 0.0020556212 0.002774994 0.0024428298 0.002423849 0.0023204037 0.0063386406 0.0035702898 0.0034184433 0.0043181335 0.0045098397 0.0026221985 0.0037135947 0.004852443 0.003669939 0.0031489157 0.0024058172 0.0025092626 0.010903524 0.0022036717 0.002584237 0.0024969252 0.0032523612 0.0025766445 0.0025605108 0.0022236016 0.0027882806 0.0020765003 0.0024124605 0.0021305955 0.003432679 0.0024077154 0.002141984 0.0024314413 0.0028385797 0.0024418808 0.0021742515 0.0021723532 0.0035323282 0.002235939 0.0021562197 0.0021258504 0.0033282845 0.0028158026 0.0022501745 0.0021353408 0.012333728 0.003716442 0.0021135127 0.0047186287 0.006085247 0.0021372389 0.0022245506 0.0022226525 0.0052064355 0.0024162566 0.0023336902 0.002355518 0.0039499057 0.0021789966 0.003339673 0.0027645545 0.0048135323 0.0026905295 0.0025291925 0.0023621614 0.006564512 0.003344418 0.0050071366 0.0315964 0.026246542 1.4249453e-06 1.899927e-06 1.4249453e-06 2.3749087e-06 1.4249453e-06 4.7498176e-07 1.4249453e-06 4.7498176e-07 2.3749087e-06 4.7498176e-07 9.499635e-07 0.0 1.4249453e-06 0.0 1.899927e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00091386493 3.3248723e-06 2.8498905e-06 3.799854e-06 4.2748356e-06 3.799854e-06 4.7498174e-06 3.799854e-06 3.799854e-06 2.8498905e-06 3.3248723e-06 2.8498905e-06 3.799854e-06 7.1247264e-06 3.799854e-06 4.7498174e-06 0.0008483174 4.7498174e-06 8.549671e-06 4.2748356e-06 3.4198685e-05 4.2748356e-06 9.499635e-07 1.6149379e-05 2.3749087e-06 2.8498905e-06 2.8498905e-06 3.3248723e-06 6.174763e-06 4.7498176e-07 2.8498905e-06 3.0398833e-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 0.0015816892 4.7023193e-05 4.369832e-05 8.0746895e-06 5.367294e-05 2.422407e-05 5.3197957e-05 2.0424215e-05 1.092458e-05 1.5674397e-05 1.092458e-05 7.599708e-06 1.7099343e-05 9.499635e-07 9.024653e-06 4.1323412e-05 0.0066250456 0.00012254529 0.00023844084 3.847352e-05 0.00050205574 0.00013726973 0.0006977482 0.00031633786 3.9423485e-05 0.00017431831 3.4198685e-05 4.4173303e-05 4.037345e-05 2.2324142e-05 4.4173303e-05 0.00065072504 0.011383888 0.0002892639 0.0007058229 0.00013489481 0.0012705763 0.0002469905 0.000963738 0.00051488023 0.00010544595 0.00017479328 6.4597516e-05 0.00014724434 8.359679e-05 7.124726e-05 0.00011019577 0.0012425523 0.006410829 0.00021374179 0.00051440526 0.00020091729 0.00080556906 0.00015816893 0.0013389736 0.00075759593 8.882159e-05 4.9398102e-05 0.000104021005 0.00013346988 0.00010212108 6.364755e-05 0.00014724434 0.00058422756 0.0071503753 0.0002892639 0.0006906235 0.00031443793 0.001640587 0.0005357794 0.0024860546 0.0012145283 9.784624e-05 8.929657e-05 0.00024841545 0.00022039154 0.00014154456 7.02973e-05 0.00011114573 0.00026361487 0.005603835 0.00022039154 0.0006127265 0.0004531326 0.001771207 0.00064170035 0.0026133496 0.0015052172 0.00017241838 0.00016529365 0.00014344449 0.000120170385 0.000130145 0.00010497097 0.000106870895 0.0002265663 0.004892787 0.00081934355 0.0011276067 0.008767689 0.0015242165 0.0008259933 0.0013403986 0.00104211 0.00090769015 0.0007129476 0.0006217511 0.0006284009 0.0006849237 0.00063837547 0.0006431253 0.0010872333 0.012046012 0.0012667764 0.0011884044 0.0019987233 0.005441391 0.0032707243 0.0013441984 0.001380772 0.010453398 0.0009822623 0.0008150687 0.001067759 0.0044624535 0.0012924253 0.003387095 0.008941056 0.03768838 0.0058275512 0.003984622 0.0048134653 0.017080344 0.012555193 0.00468712 0.0074819126 0.03163426 0.002136468 0.0023791837 0.0037029579 0.017162992 0.0037666054 0.012530494 0.023229932 0.026217569 0.0060807164 0.0038730013 0.005341645 0.011262293 0.01029143 0.004168915 0.009083551 0.020088404 0.0017127842 0.0020652206 0.0030921313 0.010115687 0.0038136286 0.008950082 0.016839053 0.030671472 0.029736234 0.030018372 0.030453455 0.029826479 0.029811755 0.029656436 0.029851655 0.029999848 0.03019649 0.030117169 0.03009057 0.03035086 0.03023924 0.030129043 0.030368434 3781.0 9.231685 34905.0 0.02406532 0.0044406247 0.005156854 0.0047271163 0.012920785 0.0052428017 0.0047557657 0.006617963 0.006761209 0.005099556 0.0042687296 0.0059017334 0.0068471567 0.008279616 0.010313708 0.0060736286 0.014954877 0.0117748175 0.013006733 0.010829394 0.012892135 0.012061309 0.011975362 0.010886692 0.015184071 0.013235926 0.014066753 0.011602922 0.015184071 0.0109726405 0.0109726405 0.018335482 0.027761066 0.009368286 0.0048703626 0.0075347372 0.009855322 0.0062455237 0.0077352813 0.006904455 0.0074774385 0.005529294 0.0051855035 0.004383326 0.0074487897 0.005701189 0.00495631 0.004182782 0.013121329 0.0052428017 0.0062741726 0.008566108 0.008594757 0.0069331042 0.011660221 0.00922504 0.0070477007 0.0058444347 0.004784415 0.0052428017 0.006646612 0.005701189 0.0052428017 0.013694313 0.0074774385 0.02438046 0.010714797 0.016072197 0.018965764 0.034923363 0.009482882 0.007935826 0.010227761 0.021114454 0.0065320153 0.005701189 0.01736141 0.010915342 0.018965764 0.027445925 0.011918063 0.0048703626 0.02549778 0.021229051 0.036355823 0.012405099 0.007907176 0.005987681 0.009626128 0.009482882 0.0047271163 0.0042400802 0.0065033664 0.0042973785 0.0039822375 0.004383326 6.341322 0.0 0.0 0.0 20.0 1053696.0 1069056.0 1.0 0.0 81.0 1.0 1.0 0.0 1.0 0.0 1541678700.0 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 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 14.0 15.0 6.0 0.0 6.0 0.0 396288.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -18944.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 622592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -396288.0 0.0 6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5802526 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.5805297 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4158845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5236835 0.0 3.4436426 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18540.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 622564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -395784.0 0.0 6080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 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 40.0 1022104.0 6080.0 1040384.0 0.0 0.0 0.0 0.0 18540.0 1048576.0 28.0 462176.0 0.0 0.0 0.0 0.0 24.0 462368.0 64.0 462208.0 0.0 0.0 328.0 401408.0 0.0 0.0 0.0 0.0


Input: 0.37819904 0.0053405245 0.003516286 0.0028288916 0.0020357445 0.004071489 0.0012954738 0.0009782149 0.003066836 0.0014012267 0.001427665 0.0015862944 0.0012690355 0.0021414976 0.0009253384 0.009491328 0.0032783418 0.00063451775 0.000766709 0.00042301184 0.0077728424 0.0011897208 0.0005816413 0.00055520306 0.0016920473 0.00047588832 0.0003965736 0.0003965736 0.00037013536 0.0003965736 0.00029082064 0.00037013536 0.037119288 0.0015862944 0.00021150592 0.0009782149 0.0070061334 0.0018506768 0.0003965736 0.00034369712 0.0020357445 0.0007931472 0.00034369712 0.0010310913 0.0048646363 0.016048012 0.0005023266 0.00047588832 0.011394882 0.002088621 0.0038864212 0.004706007 0.00330478 0.0019035533 0.0024323182 0.0019035533 0.0039128596 0.0022208123 0.0011632825 0.0025116329 0.00055520306 0.00034369712 0.00023794416 0.00021150592 0.0028817682 0.011474196 0.0031725888 0.004309433 0.0066359984 0.009702834 0.00095177663 0.001427665 0.038282573 0.0067946278 0.0002643824 0.0008460237 0.010205161 0.00705901 0.0022472504 0.0018506768 0.0034898478 0.0011632825 0.0022472504 0.0028288916 0.002643824 0.0021150592 0.0013747885 0.002538071 0.0014541033 0.000766709 0.00031725888 0.0010575296 0.002088621 0.0012425972 0.0010310913 0.0018242386 0.0010310913 0.008856811 0.0018506768 0.0035956006 0.0066359984 0.019141287 0.003622039 0.0017449239 0.0020093063 0.0083809225 0.00087246194 0.0023530035 0.0051025804 0.0036484771 0.007614213 0.007852158 0.004600254 0.00015862944 0.0109189935 0.008751057 0.014091582 0.0063187396 0.0020093063 0.00087246194 0.0025116329 0.002300127 0.0014805414 0.0007138325 0.0010839679 0.001321912 0.0007402707 0.0010575296 0.0029346447 0.000766709 0.00047588832 0.0059750425 0.0021414976 0.0051554567 0.00023794416 0.0003965736 0.001982868 0.009438451 0.0013747885 0.020674704 0.00034369712 0.008460237 0.0001321912 0.0002643824 0.00087246194 0.0001321912 0.00034369712 0.00034369712 0.00015862944 0.00087246194 0.00015862944 0.00037013536 0.0005287648 0.00021150592 0.00023794416 0.00015862944 0.0003965736 0.00018506768 0.00010575296 7.931472e-05 0.000766709 0.00021150592 0.00029082064 0.00018506768 0.00023794416 0.00018506768 0.00010575296 0.00031725888 0.0003965736 0.00010575296 0.0005023266 0.0002643824 0.00089890015 0.00037013536 0.00023794416 0.00055520306 0.0003965736 0.00010575296 0.00018506768 0.00018506768 0.0002643824 0.00023794416 0.0026702622 0.00081958546 0.0015069797 0.001321912 0.0017449239 0.00031725888 0.00023794416 7.931472e-05 0.0007138325 0.00042301184 0.0047853217 0.0020093063 0.0010310913 0.002643824 0.0017449239 0.0005816413 0.0011632825 0.0016391709 0.0026173857 0.0014541033 0.00095177663 0.0008460237 0.0042565567 0.0002643824 0.0007931472 0.001321912 0.0008460237 0.0007138325 0.0012425972 0.0007402707 0.00018506768 0.00034369712 0.0005816413 0.0009253384 0.001321912 0.000660956 0.00023794416 0.0007931472 0.00042301184 0.00023794416 0.00021150592 0.00044945008 0.0014541033 0.0003965736 0.00034369712 0.00037013536 0.0014805414 0.00055520306 0.00034369712 0.00063451775 0.007138325 0.0022208123 0.0005023266 0.0021943739 0.001982868 0.0007138325 0.00023794416 0.00021150592 0.0017449239 0.00044945008 0.00031725888 0.00081958546 0.00023794416 0.00023794416 0.00095177663 0.00068739423 0.001321912 0.0010839679 0.0005023266 0.0005287648 0.0005023266 0.00044945008 0.00068739423 0.010866117 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.02047991 0.0002092634 0.0010184152 0.0011439732 0.0010742188 0.00046037947 0.0015625 0.0014369419 0.00026506698 0.00012555804 0.00015345983 0.00022321429 9.765625e-05 4.185268e-05 0.00022321429 5.580357e-05 0.1796596 0.0046875 0.037583705 0.014160156 0.016810825 0.005106027 0.05375279 0.028125 0.0005859375 5.580357e-05 4.185268e-05 2.7901786e-05 0.00011160714 6.975447e-05 0.0016322545 0.00044642857 0.072460935 0.00234375 0.014174107 0.009779576 0.007142857 0.0037667411 0.01764788 0.00984933 0.0011439732 0.0007672991 0.0005440848 0.0007114955 0.00055803574 0.0004185268 0.0007952009 0.0007533482 0.012611607 0.00055803574 0.0029157365 0.003641183 0.0013113839 0.00082310266 0.0035435269 0.001688058 0.0002092634 0.00018136161 0.00018136161 0.00026506698 0.00016741072 9.765625e-05 0.00016741072 0.0002092634 0.02626953 0.0016183036 0.004673549 0.0029436385 0.0058733257 0.00234375 0.0023158481 0.0019949777 0.0037946429 0.00085100444 0.00046037947 0.0008789062 0.00086495536 0.00062779017 0.00086495536 0.0007672991 0.00968192 0.00065569195 0.001688058 0.001171875 0.0031947545 0.00072544644 0.002734375 0.0019252232 0.0014369419 0.0001953125 0.00033482144 0.0002511161 0.0027901786 0.00029296876 0.0006138393 0.0008789062 0.07610212 0.010072544 0.01717355 0.01125837 0.07719029 0.016113281 0.006947545 0.01672712 0.054910716 0.0029157365 0.0025390624 0.009305245 0.02483259 0.008691406 0.017452568 0.019196428 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 150.0 9.32 1398.0 0.043633763 0.0035765378 0.0 0.0007153076 0.0071530757 0.011444922 0.0014306152 0.0 0.005007153 0.0028612304 0.0035765378 0.0 0.0007153076 0.015021459 0.0028612304 0.0042918455 0.056509297 0.0014306152 0.010729614 0.005722461 0.0028612304 0.0014306152 0.0014306152 0.0014306152 0.0028612304 0.0035765378 0.0021459227 0.0035765378 0.005722461 0.0007153076 0.0021459227 0.0 0.0042918455 0.06223176 0.005722461 0.008583691 0.009298999 0.015736766 0.0071530757 0.0007153076 0.024320457 0.006437768 0.0007153076 0.0014306152 0.0035765378 0.007868383 0.013590844 0.010014306 0.010729614 0.010014306 0.005722461 0.012875536 0.012160229 0.017167382 0.021459227 0.03505007 0.0021459227 0.005007153 0.0 0.008583691 0.010014306 0.011444922 0.015736766 0.02074392 0.0021459227 0.028612303 0.0042918455 0.010729614 0.022889843 0.05007153 0.012160229 0.010014306 0.0042918455 0.022174535 0.0014306152 0.0035765378 0.020028612 0.007868383 0.025035765 0.034334764 0.010014306 0.0 0.03576538 0.013590844 0.027181689 0.019313306 0.009298999 0.0028612304 0.013590844 0.0028612304 0.006437768 0.0007153076 0.0007153076 0.0042918455 0.0071530757 0.0014306152 5.7926464 0.0 0.0 0.0 1.0 37824.0 37824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 0.0 0.0 0.0 0.0 14528.0 672.0 0.0 5.0 0.0 1.0 1.0 1.0 576.0 0.0 0.0 0.0 0.0 -128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.21207 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8885276 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3479548 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 552.0 0.0 0.0 0.0 0.0 -124.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -21322.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14501.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 124.0 37696.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.14894256 0.0049622795 0.0059229485 0.0032917042 0.0050858953 0.0028820073 0.007837223 0.0036166366 0.0034294473 0.0030091547 0.0031574932 0.0026524356 0.0026171168 0.002334567 0.00247231 0.0025641387 0.0026065214 0.0046938574 0.0030056227 0.0028360928 0.0018860195 0.0021826967 0.0022992485 0.0023486947 0.0020767406 0.0019884438 0.0020520175 0.0021085273 0.0018824876 0.0021650372 0.0020414218 0.0026877543 0.010182386 0.0021438461 0.0022462704 0.0019884438 0.0018789558 0.00379323 0.0023416309 0.001843637 0.0027901786 0.0017800633 0.0023840133 0.0030903877 0.0018612964 0.00198138 0.0023875453 0.0019743163 0.0025111607 0.0018401052 0.0019248701 0.001896615 0.0024228639 0.0016423203 0.001815382 0.0027654555 0.0038073575 0.0018612964 0.0017835952 0.0019107425 0.0018860195 0.0017447446 0.0016670434 0.0019248701 0.0021509097 0.0020767406 0.0019319338 0.0018330413 0.0019107425 0.0021049955 0.0018083183 0.0021579736 0.0018259776 0.00203789 0.0016105335 0.0016458521 0.001705894 0.0017270852 0.0018789558 0.001649384 0.0019389975 0.0017588721 0.0018683601 0.0018507007 0.0019672525 0.0028007743 0.0020202305 0.0018259776 0.0026206488 0.0018930832 0.0035495309 0.0016917665 0.0019354656 0.0017235534 0.0020202305 0.0019178063 0.0020696768 0.004842196 0.0024581826 0.0019142744 0.0019601888 0.0027972423 0.0018295095 0.0019284019 0.0017588721 0.0022356748 0.0018330413 0.0017412127 0.0020484854 0.0022780572 0.0022427384 0.0025712026 0.002034358 0.0017765315 0.0022498022 0.0024158002 0.0023981407 0.0019849117 0.0018577644 0.001787127 0.0018895513 0.0021014635 0.0016564478 0.0030197501 0.0018012546 0.0022639297 0.0019036788 0.0024652465 0.02430634 0.014328803 0.001705894 0.0020696768 0.0016140654 0.0017765315 0.0018012546 0.0017447446 0.0018507007 0.0016988303 0.0020520175 0.0038426763 0.0039239093 0.0042276504 0.0038568038 0.004157013 0.0017412127 0.0020979317 0.0018754238 0.001705894 0.0018507007 0.0020732086 0.0017200215 0.0016882346 0.0018401052 0.0016847027 0.0019036788 0.001762404 0.0017164896 0.0017412127 0.0018330413 0.0017412127 0.0018507007 0.0017129577 0.0016635115 0.0017412127 0.0017835952 0.0017023621 0.001815382 0.0018401052 0.001734149 0.0017412127 0.0061737117 0.005979459 0.0061666477 0.0057357596 0.0072050183 0.0041216942 0.0017729995 0.0018648282 0.0016635115 0.0016246609 0.0016741072 0.0017376809 0.0018012546 0.001705894 0.0018577644 0.0017023621 0.0016847027 0.0018012546 0.0017200215 0.0019142744 0.0020555493 0.0019284019 0.0018754238 0.0016246609 0.0017482764 0.001815382 0.0020449536 0.0018754238 0.0023804815 0.0016175972 0.0018012546 0.0019354656 0.001953125 0.0019601888 0.0021509097 0.0019178063 0.001900147 0.002119123 0.002034358 0.002751328 0.0020308262 0.0021155912 0.0018189139 0.0027442642 0.0019884438 0.0018507007 0.0023522265 0.0018471689 0.0022921846 0.0021509097 0.0025358838 0.0020025712 0.002034358 0.0018401052 0.004280628 0.0044113076 0.03738133 0.0031363019 0.0032528536 0.0021897603 0.003627232 0.0030056227 0.0064668567 0.009829199 0.0017200215 0.0027301367 0.008600107 0.0029491128 0.0073886756 0.0020520175 0.00594414 0.0024687783 0.0062408173 0.006911873 0.002147378 0.008035008 0.0051777237 0.008511811 0.0032669813 0.00841645 0.002500565 0.017429786 0.036915123 0.0025888619 0.005919417 0.068719625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0032404119 8.877841e-06 0.00017578126 5.3267045e-06 1.7755682e-06 1.7755682e-06 9.2329545e-05 1.953125e-05 1.7755682e-06 0.0 0.0 0.0 0.0 0.0 0.0 8.877841e-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 0.0028852983 3.5511364e-06 1.7755682e-06 3.5511364e-06 0.0 0.0 0.0 0.00016867898 0.0 0.0 5.3267045e-06 0.0 1.4204546e-05 5.859375e-05 5.3267045e-06 0.0004900568 0.020213068 0.0002556818 0.00087180396 0.0002681108 8.522727e-05 0.00036576705 0.00020241477 0.0001455966 0.00028764203 3.3735796e-05 0.0001118608 0.00031072443 0.00066228694 0.0007084517 0.001196733 0.036099076 0.02954723 0.00037642044 0.0010120738 0.00036576705 0.0002911932 0.00013671875 0.00039950284 0.00053267047 0.03618253 0.00022727273 0.019625355 0.00037109375 0.0007581676 0.0017418324 0.036028054 0.039676845 0.037064984 0.0010973011 0.0018803267 0.0007102273 0.00053444604 0.00031605113 0.00095703127 0.0006143466 0.007890625 0.00053444604 0.0050550424 0.0007723722 0.0013174716 0.0033096592 0.01578125 0.053073507 0.021761363 0.0005024858 0.0012730823 0.00056107953 0.00041725853 0.0010564631 0.0009357244 0.0008647017 0.00048828125 0.00047585228 0.00043678976 0.00044211646 0.0011665483 0.0016956676 0.01853693 0.022112926 0.009902344 0.00026988637 0.00057173293 0.0007990057 0.00038352274 0.0003018466 0.00032137785 0.00018110796 0.00023082386 0.00027521307 0.0002059659 0.0002734375 0.00026455967 0.00069957384 0.003174716 0.007599432 0.009314631 0.0014382103 0.0012961648 0.0008043324 0.00072265626 0.0007208807 0.0016193182 0.0011026278 0.0015944602 0.00027521307 0.00085227273 0.00017400568 0.00017223011 0.00019708807 0.0012109375 0.00032315342 0.008345171 0.0012961648 0.0020081676 0.0008842329 0.00045454546 0.0007244318 0.00075461646 0.00084161933 0.00042791193 0.0003355824 0.0002681108 0.00026633524 0.00024680397 0.00030007103 0.0002450284 0.0007830256 0.024099788 0.0048419745 0.007066761 0.0029545454 0.0017400568 0.0030291192 0.003984375 0.003149858 0.0025763495 0.0011878551 0.0015571733 0.00096413353 0.0009303977 0.0010049716 0.0020845172 0.0042826706 0.010339133 0.0040145596 0.003712713 0.0015518466 0.000715554 0.0016388494 0.002034801 0.00097301137 0.000793679 0.0010688921 0.000546875 0.0005166903 0.0005681818 0.0005877131 0.0007475142 0.0029172585 0.0009943182 0.00020241477 0.00019886364 0.00013494318 0.0002006392 0.00015802556 0.00018288352 0.00020419034 0.00017400568 0.00018998579 0.00015625 0.00018643466 0.00016335228 0.00016867898 0.0001509233 0.00017045454 0.024762074 0.0246875 0.02457564 0.024376776 0.02456321 0.025053266 0.024689276 0.024653764 0.024650212 0.024469106 0.024396306 0.024318181 0.024556108 0.024044745 0.024373224 0.024557883 828.0 7.5458937 6248.0 0.03265045 0.0067221513 0.009763124 0.007522407 0.0068822023 0.010723432 0.0068822023 0.0056017926 0.0070422534 0.008162612 0.006081946 0.008162612 0.00528169 0.0070422534 0.0128040975 0.007522407 0.008962868 0.006081946 0.0064020487 0.0068822023 0.005921895 0.00528169 0.009282971 0.0065621 0.016485276 0.0064020487 0.0064020487 0.0067221513 0.008322664 0.0065621 0.0068822023 0.0049615875 0.0067221513 0.01456466 0.00784251 0.008482714 0.008322664 0.009282971 0.008962868 0.008002561 0.005921895 0.011043534 0.0035211267 0.004481434 0.0064020487 0.008002561 0.0065621 0.0057618436 0.009443021 0.008002561 0.009923175 0.011203585 0.011043534 0.0067221513 0.007202305 0.0076824585 0.006081946 0.0064020487 0.021766966 0.0048015364 0.0065621 0.0057618436 0.0064020487 0.00784251 0.007522407 0.029449424 0.01456466 0.0124839945 0.014724712 0.046895005 0.008322664 0.013284251 0.0100832265 0.021446863 0.0064020487 0.008802817 0.017285531 0.022087067 0.021927016 0.024007682 0.011203585 0.00528169 0.02752881 0.026088348 0.03409091 0.016485276 0.011043534 0.007362356 0.008642766 0.01440461 0.0062419972 0.0049615875 0.0054417416 0.0048015364 0.0048015364 0.0046414854 6.317487 0.0 0.0 0.0 2.0 283136.0 303104.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542272100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 180224.0 512.0 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 -180224.0 0.0 101888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.7806721 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.5266232 0.0 4.3165646 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 -179924.0 0.0 101648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 188020.0 101648.0 188416.0 0.0 0.0 0.0 0.0 12.0 294912.0 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: 0.11405323 0.010025175 0.0044731162 0.0050125876 0.095643766 0.0027198344 0.0068108253 0.0020230175 0.0020679734 0.002427621 0.0019106276 0.00155098 0.0011913325 0.002450099 0.001595936 0.0014385902 0.001595936 0.0008766409 0.0006518612 0.0029221363 0.0011688545 0.0010789427 0.0010115087 0.0010339867 0.0020454954 0.00083168497 0.0008766409 0.0006518612 0.0012138105 0.0019780614 0.00089911884 0.00083168497 0.019106276 0.0028771805 0.0010789427 0.00076425105 0.0010564646 0.0021354074 0.00044955942 0.0004720374 0.0008766409 0.00049451535 0.0014161122 0.0014161122 0.001506024 0.0013262003 0.0059341844 0.0021354074 0.022905054 0.00631631 0.004742852 0.0024950549 0.0026973565 0.008698975 0.0014161122 0.0030345262 0.008024636 0.0009890307 0.0035515195 0.0038212552 0.0020679734 0.0075750765 0.0069232155 0.0030570042 0.007013127 0.00620392 0.008339328 0.0037987772 0.0020005396 0.0010339867 0.00155098 0.0012138105 0.0026748786 0.0015285021 0.0017308039 0.0003146916 0.0006743391 0.0006743391 0.0011913325 0.0030570042 0.0010115087 0.00051699334 0.12167326 0.002337709 0.0012362885 0.003978601 0.00033716956 0.00060690526 0.00060690526 0.00042708145 0.00076425105 0.0006743391 0.00044955942 0.00038212552 0.00022477971 0.0006293832 0.000786729 0.0028097464 0.0007192951 0.003956123 0.0027872685 0.004967632 0.000809207 0.0027647906 0.00155098 0.0046304623 0.0005619493 0.0006968171 0.0018656716 0.0018207157 0.0021129292 0.0028097464 0.001595936 0.00074177305 0.004967632 0.004270815 0.005439669 0.0017308039 0.00076425105 0.0019555835 0.00076425105 0.0006968171 0.00049451535 0.0004046035 0.00051699334 0.00038212552 0.00038212552 0.00044955942 0.0014610682 0.0011913325 0.0029446143 0.00029221363 0.00053947134 0.00022477971 0.003146916 0.0005619493 0.00051699334 0.00049451535 0.00035964756 0.00058442727 0.00035964756 0.00026973567 0.00053947134 0.0004720374 0.00060690526 0.00049451535 0.0005619493 0.00058442727 0.0005619493 0.00042708145 0.0005619493 0.0003146916 0.00049451535 0.00035964756 0.00060690526 0.00029221363 0.00035964756 0.00049451535 0.00022477971 0.0004046035 0.0012587664 0.0006518612 0.00049451535 0.0006968171 0.0004720374 0.00053947134 0.00024725767 0.0003146916 0.0004046035 0.00024725767 0.00024725767 0.0004720374 0.0005619493 0.00038212552 0.00035964756 0.00053947134 0.0005619493 0.0006518612 0.0005619493 0.0004720374 0.00033716956 0.00053947134 0.00033716956 0.0003146916 0.0004046035 0.0003146916 0.00035964756 0.00060690526 0.00044955942 0.00035964756 0.00033716956 0.00033716956 0.0006518612 0.00044955942 0.00058442727 0.00044955942 0.000809207 0.0004720374 0.00035964756 0.00038212552 0.00042708145 0.00044955942 0.00035964756 0.0004046035 0.000809207 0.00044955942 0.00026973567 0.00038212552 0.0004720374 0.00058442727 0.00053947134 0.00044955942 0.00053947134 0.00053947134 0.00022477971 0.0006743391 0.00042708145 0.00035964756 0.00049451535 0.00051699334 0.00026973567 0.00049451535 0.00049451535 0.0004720374 0.00049451535 0.00022477971 0.00038212552 0.00026973567 0.00051699334 0.00044955942 0.0006743391 0.0006293832 0.00060690526 0.0007192951 0.00049451535 0.00042708145 0.0004046035 0.00035964756 0.00029221363 0.00058442727 0.00049451535 0.00029221363 0.00035964756 0.00053947134 0.0004046035 0.0004046035 0.0006293832 0.001595936 0.00049451535 0.0006743391 0.00035964756 0.2845936 0.00024725767 0.0008541629 0.0005619493 0.0020679734 0.0 0.0 0.0 0.0 0.0 0.00069754466 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.023111979 0.0 0.0 0.0 0.0 0.0 0.0049293153 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042689733 0.0 0.0 0.0 0.0 0.0 0.00390625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.019903274 0.0 0.0 0.0 0.0 0.0 0.11202567 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.17368862 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04654948 0.0007905506 0.0026739212 0.004859561 0.0025925408 0.003092448 0.001860119 0.0014415922 0.00062779017 0.0004185268 0.00011625744 0.00025576638 0.00040690103 0.00034877233 0.00011625744 0.029087612 0.12303525 0.0028250557 0.020658948 0.057349794 0.0242048 0.0012323288 0.0020577568 0.0018252418 0.00031389509 0.00012788319 0.0001046317 0.00012788319 0.00032552084 0.00013950893 8.138021e-05 0.0036853608 0.02734375 0.00040690103 0.0019298735 0.0036504837 0.0025227864 0.00096493674 0.004278274 0.0019298735 0.000453404 0.00015113468 4.6502977e-05 6.975447e-05 2.3251489e-05 0.00022088914 8.138021e-05 0.003545852 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012241908 0.0009416853 0.0016043527 0.002580915 0.0011160715 0.0007672991 0.0010811941 0.000999814 0.00054641 0.00031389509 0.00036039806 0.0002092634 0.00017438616 0.0002906436 0.00024414062 0.00033714657 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.037353516 0.012125651 0.013974144 0.018787201 0.011149089 0.010021391 0.023100354 0.016217913 0.00961449 0.0049758186 0.005905878 0.004940941 0.0053362167 0.00499907 0.0055222283 0.006452288 0.0043480285 0.001499721 0.0018252418 0.0021158855 0.0012207031 0.0013137091 0.002546038 0.0018833706 0.0013485863 0.0006161644 0.00080217636 0.00081380206 0.0007672991 0.00091843377 0.00084867934 0.0009416853 325.0 25.366154 8244.0 0.012857836 0.00072780205 0.00048520137 0.00036390102 0.0021834061 0.0006065017 0.0 0.00036390102 0.0008491024 0.00048520137 0.00036390102 0.00012130034 0.00097040273 0.0032751092 0.013221737 0.01055313 0.019650655 0.012979137 0.006065017 0.0016982048 0.0013343038 0.0014556041 0.0013343038 0.0014556041 0.0015769044 0.00072780205 0.003881611 0.00036390102 0.0 0.00024260068 0.00024260068 0.0 0.00024260068 0.0058224164 0.0008491024 0.008976225 0.006186317 0.0016982048 0.0012130034 0.00048520137 0.0015769044 0.0036390102 0.0 0.00012130034 0.0013343038 0.0012130034 0.0015769044 0.00351771 0.00048520137 0.0 0.6413149 0.0072780205 0.0027899079 0.0024260068 0.0 0.00012130034 0.00036390102 0.0 0.0019408055 0.0 0.00012130034 0.0 0.00012130034 0.00048520137 0.00012130034 0.009218826 0.0018195051 0.016860748 0.009825327 0.018680252 0.0015769044 0.01055313 0.004973314 0.019893255 0.0008491024 0.0012130034 0.004609413 0.006428918 0.0066715186 0.01091703 0.0055798157 0.0006065017 0.02122756 0.012008734 0.023896167 0.004730713 0.00097040273 0.0072780205 0.00097040273 0.0006065017 0.0006065017 0.00024260068 0.00036390102 0.0 0.00024260068 0.00012130034 2.8705926 0.0 28.0 0.0 1.0 44488.0 49152.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1542902500.0 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 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 512.0 1024.0 4096.0 4.0 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 -512.0 -512.0 31232.0 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 -4.2537637 -3.1844347 3.1957588 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 -484.0 -98.0 31168.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 68.0 4512.0 40.0 8200.0 31168.0 12288.0 0.0 0.0 10696.0 33792.0 12.0 45056.0 84.0 4096.0 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 0.0 0.0


Input: 0.2299534 0.017552277 0.01042535 0.019930996 0.03820509 0.0149941305 0.013697113 0.018993864 0.022205133 0.0074693817 0.012524159 0.0054259393 0.013320824 0.0018024946 0.0010663222 0.0032153714 0.0055366727 0.0019347596 0.0010283857 0.001201663 0.0026483752 0.0029436643 0.0013810922 0.00068695756 0.0018660638 0.00049932586 0.0005905784 0.0007371977 0.0017337988 0.0013216243 0.0005751988 0.0005126549 0.0046323496 0.0004829209 0.0006326161 0.0008817664 0.0047984496 0.00092688005 0.0012037137 0.0004101239 0.0012857384 0.00047779435 0.0005577685 0.00096379116 0.0014128769 0.00058442657 0.0010201832 0.0019450126 0.0030410688 0.0008551084 0.00071156496 0.0032184473 0.0014600412 0.0008479312 0.000565971 0.0005147055 0.0010827271 0.0011965365 0.0012652322 0.0020598473 0.0007946151 0.0009535381 0.0004214023 0.00055161666 0.02624793 0.002330529 0.0012734347 0.0015287369 0.012931207 0.008228111 0.0025376417 0.0010140314 0.0015307874 0.00090637384 0.0019491139 0.00043678196 0.0015574455 0.0051993458 0.00091867754 0.0007330965 0.0065814634 0.0028524117 0.0019819238 0.0034429901 0.0015933313 0.0044939327 0.0034993822 0.0030974608 0.0010447906 0.0016825333 0.0007125903 0.0013452064 0.0014692689 0.0021921124 0.0024217817 0.0021418722 0.0012201186 0.0041494286 0.0017399507 0.0029272593 0.0033722438 0.007197675 0.0022751624 0.0015543696 0.0036490774 0.0048353607 0.0036070398 0.0016046098 0.0037874943 0.0020803534 0.0034747748 0.004384225 0.0027960197 0.0008376781 0.005007613 0.004292972 0.009734291 0.007104371 0.00153899 0.0026555522 0.0016025591 0.0016876599 0.00077000767 0.0008171719 0.002253631 0.0024310094 0.0014108262 0.0010734993 0.0034429901 0.0018681145 0.0016486981 0.005477205 0.002217745 0.0049132844 0.00093713315 0.000943285 0.0016968877 0.0065753115 0.0006849069 0.022760851 0.0011575747 0.0061754407 0.0006285149 0.00088689296 0.002101885 0.0005998062 0.00056084443 0.0006151859 0.00094943686 0.0007525774 0.0011134864 0.00063159084 0.0009648165 0.00077103294 0.0005475154 0.0005126549 0.0008930448 0.0005967303 0.00062133773 0.00059365435 0.00091150036 0.0011083599 0.0007884632 0.00093713315 0.00084485527 0.0010570944 0.0006305655 0.0006377427 0.0010150566 0.0005926291 0.000840754 0.0008171719 0.0010191579 0.0007946151 0.0007802607 0.0008510071 0.0011975619 0.00070131186 0.00077000767 0.0006695273 0.0010037783 0.0007946151 0.0007423243 0.0007761595 0.0013985225 0.0006479958 0.00065927417 0.00074847613 0.00091867754 0.00078333664 0.0008130706 0.0009176523 0.0059724296 0.0019798733 0.0027560326 0.0018383805 0.0014528639 0.0006305655 0.0017584063 0.0041730106 0.0014354336 0.0017235457 0.0009330319 0.00080179225 0.005477205 0.00066440075 0.0011206636 0.0011309166 0.0012026883 0.0012242199 0.0011134864 0.0008530577 0.00091867754 0.000536237 0.0011165623 0.0008325515 0.0016486981 0.0006808057 0.00057314814 0.00087869045 0.0010140314 0.0004900981 0.0006736285 0.00057212287 0.0013575101 0.00064594514 0.0006049328 0.0005475154 0.0010222339 0.00092688005 0.00051675615 0.00049727526 0.0062697693 0.0014108262 0.0010037783 0.0027427035 0.00307798 0.0004952246 0.00056186976 0.0012395995 0.0027345011 0.0010324869 0.00063671736 0.0012180681 0.002439212 0.0007125903 0.0011093852 0.0015195091 0.003485028 0.00073104585 0.0006069834 0.0008633108 0.0058534937 0.0010570944 0.0014313324 0.095976174 0.029360542 4.5696142e-05 1.5403194e-06 1.5403194e-06 3.5940786e-06 5.134398e-07 7.701597e-06 2.567199e-06 1.1809116e-05 2.053759e-06 1.0268795e-06 1.0268795e-06 1.0268795e-06 1.5403194e-06 5.134398e-07 0.0 0.008979036 0.00010987612 3.6967667e-05 1.0782236e-05 5.493806e-05 2.2077911e-05 2.2077911e-05 1.0268796e-05 3.0292947e-05 5.134398e-06 3.5940786e-06 6.1612777e-06 2.1564472e-05 9.241917e-06 1.0782236e-05 0.00013092715 0.0076481993 0.00022385975 4.5182704e-05 5.03171e-05 0.0001083358 3.5427347e-05 6.880093e-05 6.5206856e-05 5.185742e-05 1.7456954e-05 1.1809116e-05 1.43763145e-05 1.3862875e-05 1.7456954e-05 1.1809116e-05 2.8239188e-05 0.0332976 0.0007239501 0.0001663545 0.000100120764 0.026742512 9.4472925e-05 0.00019716089 0.0001278465 8.6771324e-05 6.417998e-05 4.980366e-05 5.4424618e-05 6.2126215e-05 5.237086e-05 8.061005e-05 0.00013965563 0.012260429 0.00030549668 0.0005889154 0.00031781924 0.0015125937 0.00045644798 0.00033835683 0.00047185118 0.00011398364 1.8997272e-05 1.43763145e-05 1.1809116e-05 1.7456954e-05 8.728477e-06 2.0024152e-05 0.00036710946 0.016099932 0.00042872224 0.0002669887 0.00021513128 0.000797372 0.00023669575 0.00088414334 0.000332709 0.0003368165 0.00015146474 0.000108849235 0.00013349435 0.00015043786 0.00010114764 9.960732e-05 0.0006869825 0.027507024 0.00044669263 0.00037840512 0.00022642696 0.0029517654 0.0019166708 0.0053875237 0.0009457561 0.00028701284 3.0292947e-05 4.3128945e-05 8.574445e-05 0.00036556914 4.77499e-05 8.9851965e-05 0.0076605217 0.06682522 0.0007773479 0.0017857436 0.00040305025 0.0018607058 0.002478374 0.010614854 0.008862484 0.0019474771 0.00021718504 0.0010469038 0.0014263358 0.0015387791 0.0014648438 0.0019207783 0.02406441 0.09866002 0.0017944721 0.0030149184 0.0011655083 0.0035165492 0.001633252 0.008735151 0.007285711 0.0048920545 0.0055682547 0.005925095 0.0048894873 0.0047765304 0.00298976 0.0024239493 0.0393644 0.01782509 0.0006484745 0.0013154327 0.0006294772 0.0015485345 0.0013585617 0.0051749595 0.0032598292 0.0011018418 0.00053449086 0.0004708243 0.00039278145 0.0010438231 0.00035170626 0.0003445181 0.0029060692 0.015532581 0.0009811835 0.0010268796 0.0010715489 0.0023833876 0.0014704916 0.004076712 0.0026164893 0.0016250369 0.0005781332 0.00043437007 0.0003778917 0.0011239197 0.00033989715 0.00042718192 0.0027376611 0.01162325 0.0009159766 0.000874388 0.0010160974 0.0022658098 0.0011958013 0.0022483529 0.0017472357 0.00200909 0.00060021115 0.0003599213 0.00030652355 0.0013287822 0.0005457865 0.00043539694 0.0019700686 0.014065683 0.0014843545 0.0011773175 0.0012373899 0.0044504963 0.00298976 0.0021990626 0.002021926 0.006386164 0.0006371788 0.00048057965 0.00044720605 0.0041064913 0.0008281784 0.0020193588 0.0059420387 0.05126645 0.0102919005 0.0064000273 0.0073319203 0.014189422 0.018996246 0.0065607335 0.012000115 0.031143205 0.0025713064 0.002529718 0.0035201432 0.013333005 0.004808877 0.010775047 0.026153596 0.018912042 0.0055538784 0.004689759 0.005051221 0.006656747 0.0073370547 0.004494652 0.0057140714 0.011712075 0.0016224697 0.0018612193 0.0016245235 0.005768496 0.0025153416 0.00406593 0.009160792 0.0010006941 0.00041075185 0.0004143459 0.0006510417 0.00032552084 0.00033887028 0.00080456014 0.00055502844 0.0003019026 0.00019510712 0.00025209895 0.00021205064 0.00021051032 0.00020434904 0.00019562057 0.00023669575 3263.0 20.394423 66547.0 0.014606218 0.0011871309 0.0024493968 0.0026748013 0.004658362 0.0022841 0.00064615987 0.00087156444 0.0016529671 0.0012622657 0.0011871309 0.0016830211 0.0018483177 0.0026297204 0.005755331 0.0025846395 0.010338558 0.006341383 0.0035313386 0.0037717703 0.0019985875 0.0012322118 0.0016379401 0.0012772927 0.0025245314 0.0024644237 0.0018783717 0.0024493968 0.0018332908 0.0018182638 0.0011721039 0.001713075 0.3256195 0.0074834325 0.0019835604 0.0076487293 0.14851157 0.0045531727 0.003351015 0.005680196 0.0024493968 0.004733497 0.022405216 0.0015477783 0.0037417163 0.004643335 0.0025996664 0.0025545855 0.006822246 0.0029753407 0.0047485237 0.010038018 0.0046283077 0.0043578222 0.0054998724 0.007288082 0.0020586953 0.0010368612 0.0012472388 0.0004958901 0.0027048553 0.00094669935 0.0006161059 0.0054247375 0.0007212947 0.016169023 0.003320961 0.013960058 0.011225149 0.034321606 0.0049288473 0.006326356 0.006266248 0.020061009 0.0024493968 0.0018032368 0.014531083 0.008159647 0.01633432 0.022510406 0.009767532 0.0004057283 0.02348716 0.016815184 0.03042962 0.0059506814 0.002329181 0.005529926 0.0031406374 0.004943874 0.00084151054 0.00015026974 0.002840098 0.00018032368 0.005109171 0.00063113286 4.4900174 0.0 27.0 5.0 12.0 975315.0 143360.0 1.0 0.0 117.0 0.0 1.0 1.0 0.0 0.0 1173824500.0 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 -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 7.0 10.0 4.0 0.0 4.0 0.0 26112.0 1024.0 4096.0 4.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -26112.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1612375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5007787 0.0 3.3428228 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 -98796.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25602.0 0.0 1408.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 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 -1.0 0.0 0.0 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 26724.0 1408.0 139264.0 0.0 0.0 9568.0 29696.0 0.0 0.0 56.0 29564.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 496.0 4096.0 64.0 26604.0 0.0 0.0