Input: 0.018755913 0.0034958255 0.003421486 0.0036959234 0.0032635138 0.0034574165 0.0032282025 0.0033205077 0.003328561 0.0038446027 0.0033682089 0.0033874135 0.003593706 0.0048835003 0.0034636117 0.0074990196 0.0033725456 0.0036414075 0.0038080523 0.003513791 0.0034419291 0.0033787405 0.0033601555 0.0038712411 0.0033638724 0.0032387339 0.0034097154 0.003627159 0.003532376 0.0034301588 0.0032963473 0.0037058352 0.0032034225 0.0033973253 0.003656895 0.0035775993 0.003632115 0.003373165 0.0053927274 0.003548483 0.0032932498 0.0035131713 0.0033824574 0.0033112152 0.0033366147 0.003528659 0.0034406902 0.0034382122 0.0033960864 0.0036785773 0.0035714041 0.0038055743 0.00351503 0.0034183883 0.0034958255 0.0035999012 0.0033155517 0.0034729042 0.0038130083 0.0039877067 0.003612291 0.0034629921 0.0046765883 0.003756634 0.0035906087 0.0033143128 0.0034809576 0.0032907717 0.0032232464 0.0035930867 0.0034097154 0.0033415705 0.0033174101 0.003691587 0.0032610358 0.0037355712 0.0036959234 0.0031842182 0.0034041398 0.0034871525 0.0031897936 0.0034313977 0.0032635138 0.003491489 0.0032232464 0.0040100086 0.003505118 0.003548483 0.0031674916 0.003376882 0.0034406902 0.0035751213 0.003328561 0.0033898915 0.0037287567 0.0036878698 0.0034382122 0.0034766211 0.00572292 0.0033874135 0.0034896305 0.0036438855 0.0034921085 0.003492728 0.003269709 0.0052025416 0.0039635464 0.0033211273 0.003237495 0.0034239637 0.0032938693 0.0033000642 0.0034313977 0.0038854897 0.003616008 0.0035943256 0.0033105956 0.0034357342 0.004005672 0.0034846745 0.0034022813 0.0037894675 0.003523703 0.0035447658 0.0036630898 0.003709552 0.0034332562 0.0037114108 0.0035806966 0.0033279415 0.0034344953 0.003593706 0.0035633508 0.0035614923 0.0035546778 0.0033291806 0.0034598946 0.003491489 0.0039678826 0.0038284957 0.003709552 0.003978414 0.0035571558 0.003374404 0.0039300933 0.0036197251 0.0034084762 0.0036222031 0.0047534057 0.0037423857 0.005483174 0.0033886523 0.0033415705 0.0033886523 0.0036104326 0.0032982058 0.003510074 0.005346265 0.0036500804 0.0031817402 0.0033874135 0.003480338 0.0037560146 0.003513791 0.0035930867 0.003491489 0.0037021183 0.0033000642 0.0033000642 0.0033948475 0.003396706 0.0031210294 0.0037584926 0.0034933474 0.0033923695 0.0036197251 0.0036624705 0.003376882 0.0037609704 0.0034270613 0.0035193665 0.003475382 0.0035416684 0.0035466242 0.003661851 0.0035862722 0.0035732628 0.003383077 0.003616008 0.0034239637 0.0036575145 0.0037107912 0.0039685024 0.0037114108 0.003988946 0.003612291 0.0038099107 0.0035627312 0.003953015 0.0035472438 0.0036977818 0.003471665 0.0038706216 0.0035082155 0.003769024 0.003521225 0.003620964 0.003532376 0.0035199858 0.00345308 0.003648222 0.0033824574 0.0035007815 0.0034729042 0.0035268003 0.0037931844 0.003630876 0.0035193665 0.0036575145 0.005273784 0.0034357342 0.003331039 0.0037869895 0.003616008 0.0035199858 0.003353341 0.0038260177 0.003975936 0.0035726433 0.003378121 0.003656895 0.0038377882 0.0036519389 0.0036091935 0.0040868265 0.0035280394 0.0040992163 0.0034673286 0.0036222031 0.003744244 0.0042640027 0.004083729 0.04955424 0.0042751534 0.0037349516 0.003720703 0.003974697 0.003883631 0.004519855 0.003912128 0.0039685024 0.0060624043 0.004584283 0.0038669046 0.0039728386 0.009104758 0.006966766 0.0 8.060516e-06 6.510417e-06 2.170139e-06 1.860119e-06 3.1001983e-07 1.5500992e-06 0.0 3.1001983e-07 1.2400793e-06 1.5500992e-06 1.2400793e-06 0.0 0.0 0.009516369 0.0 0.0 3.1001983e-07 0.0 0.0 0.0 0.0 3.1001983e-07 2.4801586e-06 5.270337e-06 4.030258e-06 3.720238e-06 1.5500992e-06 6.2003966e-07 1.2400793e-06 0.0006153894 0.0005744668 6.2003966e-07 6.2003966e-07 3.4102181e-06 6.8204363e-06 1.1160714e-05 1.9841269e-05 1.4260912e-05 6.2003966e-07 9.300595e-07 0.0 3.1001983e-07 3.1001983e-07 6.2003966e-07 0.0 9.300595e-07 0.0011318824 3.2862103e-05 0.0003000992 0.0001546999 6.9444446e-05 5.7663692e-05 9.548611e-05 0.00013237847 1.9841269e-05 6.293403e-05 2.5731646e-05 7.50248e-05 9.765625e-05 5.6733632e-05 0.00014043899 0.0064360118 0.00011687748 0.000113777285 0.00030846975 8.12252e-05 5.6113593e-05 5.1463292e-05 7.9365076e-05 3.75124e-05 8.680556e-05 0.00010075645 9.517609e-05 0.0001156374 0.00022631449 0.00025049603 0.00026289682 0.009445685 0.0005127728 2.170139e-06 3.720238e-06 5.270337e-06 2.5421627e-05 2.2631448e-05 2.5111607e-05 1.2710813e-05 2.1081349e-05 6.8204363e-06 9.9206345e-06 1.2400794e-05 6.200397e-06 5.3633434e-05 9.3005954e-05 0.00045696925 0.00059616816 5.3323412e-05 5.6733632e-05 6.7584326e-05 5.2703374e-05 7.843502e-05 4.030258e-05 3.44122e-05 9.889633e-05 5.0223214e-05 0.00011594742 4.154266e-05 0.00011067709 0.00016121032 0.00018694196 0.0033342633 6.603423e-05 8.990575e-06 1.4260912e-05 1.3950893e-05 3.844246e-05 3.875248e-05 5.270337e-06 7.440476e-06 0.000115327384 5.456349e-05 0.00010726687 8.6185515e-05 5.487351e-05 0.00011129712 0.00015035963 0.0016666667 0.00089595735 3.4722223e-05 4.2162697e-05 3.5342262e-05 0.00010261657 0.00013640874 0.00015562995 0.00011470734 0.00010757688 3.59623e-05 4.4952878e-05 8.2465274e-05 0.00012772817 0.00011749752 0.0002015129 0.0015742808 0.00025576638 3.0381945e-05 4.4642857e-05 3.9682538e-05 9.1765876e-05 9.424603e-05 6.107391e-05 7.471478e-05 0.0001391989 0.00013950893 0.0002768477 0.00020244296 0.00012927827 7.006448e-05 0.0004392981 0.0023555309 0.004642237 0.00018477182 0.002122396 0.00020492311 0.00019252232 0.000203063 0.0019463046 0.00014415923 0.00024119543 0.0036817957 0.00034722223 0.0003171503 0.00010106647 0.0019047619 0.00018353175 0.0039003596 0.0021999008 0.00024274553 0.00033978175 0.00022476439 0.00031467015 0.0002938988 0.00047805058 0.00037884424 0.00085100444 0.0012748016 0.0007310268 0.00069072424 0.0005375744 0.00053013396 0.0006225198 0.0029879713 0.0014939856 0.0006894841 0.0007434276 0.00083271327 0.0008308532 0.0008984375 0.0007263765 0.0010667783 0.0012174479 0.0018356275 0.000875496 0.001063058 0.0009185888 0.0009198289 0.0014400422 0.008574839 0.0025449528 0.0010243056 0.00094959076 0.0010453869 0.0012441096 0.0014127605 0.0009437004 0.001326575 0.0017348711 0.0020814731 0.0010026041 0.0014093502 0.0016480655 0.0010726687 0.0015795511 0.0075514633 0.0019388641 0.0013033234 0.0013829985 0.0013625372 0.0012915427 0.0015708705 0.00091455854 0.0011638144 0.0018846106 0.0020455108 0.0014437624 0.0014583333 0.0024032737 0.0019137525 0.0022885664 0.004205109 0.051792223 0.052284848 0.050725758 0.05452319 0.050712116 0.050499134 0.053672496 0.053044394 0.05080233 0.049919084 0.0506312 0.05138207 0.05279793 0.05141028 0.051353548 0.054925594 9982.0 6.0781407 60672.0 0.007631197 0.008570675 0.01219673 0.009295886 0.0086201215 0.008587157 0.0107133435 0.009048655 0.008438818 0.012213212 0.008719014 0.0077300896 0.009048655 0.009592563 0.009543117 0.0086201215 0.0086201215 0.014075685 0.00868605 0.009394779 0.0079113925 0.00876846 0.008834388 0.008982726 0.008883835 0.0077630538 0.01379549 0.018756593 0.007977321 0.008356408 0.035996836 0.008702531 0.008191587 0.008636603 0.007796018 0.008537711 0.007268592 0.008241034 0.009378296 0.008570675 0.007581751 0.011339663 0.008537711 0.008537711 0.009559599 0.008916799 0.009938687 0.01171875 0.008636603 0.009328851 0.009312368 0.010021097 0.008653086 0.019811446 0.009361815 0.009015691 0.0074663768 0.008587157 0.008438818 0.009279404 0.0131197255 0.009098101 0.0140262395 0.0149327535 0.0077465717 0.010152954 0.060390294 0.007878428 0.008883835 0.008488265 0.008653086 0.0074663768 0.008966245 0.0074169305 0.017207278 0.008158623 0.008175106 0.0079113925 0.0076971254 0.008191587 0.008735496 0.00924644 0.010729826 0.010729826 0.008273998 0.007614715 0.009361815 0.0074498947 0.008653086 0.016927084 0.010070543 0.009674974 0.01267471 0.008900316 0.008982726 0.01267471 6.4364843 0.0 0.0 0.0 15.0 1614211.0 245760.0 0.0 0.0 10.0 0.0 1.0 0.0 0.0 0.0 1131561300.0 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 3.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 184320.0 4096.0 4096.0 4.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 -167936.0 0.0 49152.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9002714 0.0 0.0 6.4679523 0.0 0.0 0.0 0.0 0.0 -7.994547 0.0 6.3678136 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5488.0 0.0 0.0 12942.0 0.0 0.0 0.0 0.0 0.0 -164089.0 0.0 46646.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 241792.0 46534.0 180224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 242072.0 0.0 0.0 0.0 0.0


Input: 0.3665824 0.011809313 0.011532841 0.020024488 0.011710573 0.014811011 0.0015008491 0.001204629 0.0033571627 0.0009479047 0.0010071488 0.0010663929 0.0031201865 0.001342865 0.0017970694 0.0026462341 0.0030016983 0.0004937004 0.0003554643 0.0003949603 0.0018760614 0.0007109286 0.00033571626 0.00047395236 0.0017970694 0.00031596824 0.0003554643 0.00031596824 0.0011453849 0.00047395236 0.00019748016 0.0003949603 0.005430704 0.00017773214 0.0004147083 0.001402109 0.023203919 0.002507998 0.0006911805 0.00053319643 0.0015205971 0.0006121885 0.00019748016 0.00045420436 0.0005924405 0.001402109 0.017398002 9.874008e-05 0.0020142975 0.0007109286 0.0011453849 0.0005924405 0.0042655715 0.0030016983 0.002468502 0.002567242 0.001184881 0.00033571626 0.00027647222 9.874008e-05 0.002429006 0.00033571626 0.00019748016 0.00015798412 0.011473597 0.00047395236 0.00029622024 0.001263873 0.0057466724 0.0038113669 0.00045420436 0.0005134484 0.0011651329 0.00053319643 0.00013823611 0.00019748016 0.0016390852 0.00096765277 0.0003752123 0.00045420436 0.0020142975 0.00053319643 0.0014811011 0.0014416052 0.00238951 0.0021525337 0.0004937004 0.0002567242 0.0008096686 5.9244045e-05 0.00015798412 0.0004147083 0.0015600933 0.0008294166 0.00023697618 0.03791619 0.0015403451 0.03274221 0.0057664206 0.00517398 0.018523639 0.01830641 0.0018563134 0.0093408115 0.0028634623 0.025415696 0.0003554643 0.0017180773 0.009242071 0.0086496305 0.007918954 0.006892057 0.009202575 0.00011848809 0.009242071 0.00805719 0.031103125 0.0036928789 0.0014613532 0.0026462341 0.0055096964 0.0018168174 0.0002567242 3.949603e-05 0.0006319365 0.00045420436 0.00021722817 9.874008e-05 0.00086891267 0.00043445633 0.00015798412 0.0021920297 0.0010268968 0.003949603 0.00015798412 7.899206e-05 0.0010466448 0.009953 3.949603e-05 0.005410956 0.0008491647 0.002705478 5.9244045e-05 5.9244045e-05 0.0074055055 7.899206e-05 9.874008e-05 9.874008e-05 0.0004937004 0.00088866067 9.874008e-05 5.9244045e-05 0.0008294166 0.00015798412 7.899206e-05 3.949603e-05 0.0005134484 0.0007306766 5.9244045e-05 0.00011848809 0.0009084087 0.00088866067 0.00019748016 0.00017773214 0.0007899206 7.899206e-05 5.9244045e-05 5.9244045e-05 0.00088866067 7.899206e-05 0.00011848809 1.9748015e-05 0.0016588332 0.00015798412 5.9244045e-05 0.00015798412 0.00088866067 7.899206e-05 7.899206e-05 7.899206e-05 0.001244125 7.899206e-05 0.00053319643 0.00017773214 0.001402109 0.00019748016 0.00027647222 9.874008e-05 0.00088866067 0.00017773214 0.00011848809 5.9244045e-05 0.0022315257 0.0006911805 0.0006121885 0.00096765277 0.0007504246 0.00258699 0.00043445633 0.0058059166 0.0018563134 0.0015995892 0.0005134484 0.00021722817 0.0005134484 0.00017773214 7.899206e-05 0.00015798412 0.0032781705 0.00031596824 0.0008096686 0.0014613532 0.0015205971 0.00055294443 0.0011058889 0.00047395236 0.002804218 0.0036533829 0.0007899206 0.001342865 0.0018365654 0.004956752 0.00055294443 0.0002567242 0.0016193372 0.0003752123 0.00031596824 0.00011848809 0.0013033691 0.0007306766 0.00011848809 9.874008e-05 0.0057071764 0.0010466448 0.00017773214 0.0008096686 0.001402109 5.9244045e-05 0.0003949603 9.874008e-05 0.0010071488 0.00017773214 0.00011848809 5.9244045e-05 0.0007306766 0.0002567242 0.0005726924 0.0004937004 0.0016390852 0.00015798412 0.0005134484 0.0004147083 0.0006319365 0.00017773214 0.0037916189 0.017931199 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.018819174 5.086263e-05 0.00030517578 0.00011189779 7.120768e-05 6.1035156e-05 0.0006510417 0.00029500326 1.0172526e-05 0.0 0.0 0.00015258789 5.086263e-05 0.000193278 0.0 6.1035156e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.11478678 0.0028381348 0.007130941 0.0014038086 0.0009256999 0.0022684734 0.0066019692 0.003926595 0.0007019043 0.00069173175 0.0006713867 0.0005493164 0.00055948895 0.0006205241 0.00069173175 0.0014648438 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.14524333 0.0010782877 0.017730713 0.0088602705 0.004272461 0.02658081 0.08518473 0.037801106 0.00053914386 0.0005086263 0.0012817383 0.0006612142 0.0006205241 0.0016682943 0.00048828125 0.00081380206 0.06713867 0.0008239746 0.01252238 0.005340576 0.00072224933 0.00061035156 0.02183024 0.009490967 0.00061035156 0.00053914386 0.00056966144 0.00055948895 0.00056966144 0.0026448567 0.00044759116 0.000579834 0.02403768 0.0014343262 0.0016174316 0.0018920898 0.0013020834 0.009267171 0.027618408 0.013041179 0.00021362305 0.00015258789 0.0003153483 0.00024414062 0.00015258789 0.0014750162 0.00025431314 0.0003153483 0.020548502 0.0006205241 0.0012410482 0.0006713867 0.0013427734 0.0014139811 0.004547119 0.002553304 0.0013224283 0.00059000653 0.000386556 0.0004272461 0.0010375977 0.0030110676 0.0008951823 0.0010579427 0.017964682 0.0006612142 0.0037434895 0.0007324219 0.0034077961 0.0016682943 0.002400716 0.0012512207 0.0023091633 0.0011088053 0.00028483072 0.00015258789 0.0022786458 0.0012613932 0.0016479492 0.00079345703 0.008839925 0.0008544922 0.0027364094 0.00059000653 0.0031534832 0.001373291 0.00040690103 0.00028483072 0.0054423013 0.00091552734 0.0006510417 0.0005086263 0.0025736492 0.0038248699 0.002400716 0.0071105957 0.03257243 0.0032043457 0.008565267 0.0016784668 0.0108133955 0.0047302246 0.0010172526 0.0027974446 0.013600667 0.0066833496 0.0016886393 0.0020751953 0.00861613 0.008290608 0.005584717 0.013081868 0.008636475 0.0013020834 0.002553304 0.0006510417 0.0035095215 0.0016377767 0.0010986328 0.0011494955 0.0050964355 0.0009053548 0.0006306966 0.001200358 0.003245036 0.0034688313 0.0023701985 0.004211426 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1250.0 12.324 15405.0 0.0046738074 6.491399e-05 0.0 0.0 0.03401493 0.00025965596 6.491399e-05 0.0 0.00077896786 0.00012982798 0.0 0.0 0.0005193119 0.0021421616 0.04913989 0.00012982798 0.004024667 0.00090879586 0.0034404413 0.00071405387 0.01123012 0.008828303 0.007854593 0.008049334 0.0014281077 0.00019474197 0.00045439793 0.0 0.00077896786 0.0 6.491399e-05 0.0 0.0025965595 0.00097370986 0.00025965596 0.0025965595 0.0016877637 0.0020772477 0.00071405387 0.0010386239 0.0005842259 0.0016877637 0.00032456993 0.00019474197 0.0029211296 0.0010386239 0.00077896786 0.00097370986 0.0014930217 0.00032456993 0.0020123336 0.0023369037 0.0032456995 0.00097370986 0.00084388186 0.00025965596 0.00084388186 0.0 0.00032456993 0.0 0.00045439793 0.0 0.0 0.123336576 0.00071405387 0.10723791 0.01512496 0.016163584 0.05926647 0.054397922 0.004803635 0.03024992 0.0073352805 0.08283025 0.00077896786 0.005322947 0.02862707 0.027653359 0.02557611 0.022200584 0.02862707 6.491399e-05 0.029535865 0.018565401 0.09626745 0.008893216 0.0035053554 0.0081142485 0.014735475 0.005322947 0.00071405387 0.0 0.0005193119 0.0 6.491399e-05 0.0 4.6558905 0.0 0.0 0.0 1.0 50638.0 151552.0 0.0 0.0 110.0 0.0 0.0 0.0 1.0 1145.0 1286225400.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 56.0 4.0 0.0 4.0 0.0 12288.0 1024.0 4096.0 7.0 1.0 0.0 2.0 6.0 0.0 0.0 -561.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.604746 0.0 0.0 0.0 0.0 0.0 -1.2908521 0.0 0.0 0.0 0.0 0.0 5.0909095 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5666354 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9968343 -4.9094505 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 -24.0 0.0 0.0 0.0 0.0 0.0 1036.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 26108.0 0.0 0.0 -64.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12020.0 -4208.0 0.0 0.0 0.0 0.0 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 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 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 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 -1.0 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 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 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 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4208.0 53248.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.14218293 0.008614966 0.0041784197 0.003417692 0.0062297797 0.0039413907 0.0020252988 0.0019570442 0.00786913 0.0015078052 0.001698918 0.0015028412 0.004565609 0.0013700551 0.001228582 0.0038830638 0.006152838 0.0015028412 0.0011851473 0.0008947552 0.002467092 0.0019793822 0.000766933 0.00082525966 0.002304522 0.0007545231 0.0008302236 0.00071108836 0.0016157716 0.0006043631 0.00059443514 0.0005658923 0.0038855458 0.0005869892 0.0006527618 0.0005435545 0.004159805 0.0013191744 0.000465372 0.00056216936 0.0011851473 0.00065400277 0.0005845072 0.00094439485 0.0011069648 0.0023454747 0.0006775816 0.0005187346 0.005863687 0.0028766193 0.0033506784 0.0103598 0.0035008383 0.0021345061 0.002943633 0.0018242581 0.0040431516 0.0021915918 0.00071605237 0.0014854673 0.0016703751 0.0009779016 0.00046661298 0.00052990357 0.011800593 0.0039376672 0.004913087 0.008848272 0.0038780998 0.032638088 0.0032762187 0.0027152903 0.003391631 0.003556683 0.0021940737 0.0023603668 0.0027165313 0.0043980754 0.0011628094 0.001535107 0.009081579 0.002149398 0.0020612876 0.009780258 0.003212928 0.013871808 0.0032303021 0.0021009995 0.0019309835 0.0065300995 0.0027487972 0.0032675317 0.0015698548 0.004648756 0.0023839455 0.0036137686 0.0057792994 0.00446633 0.0017783415 0.0032600858 0.00938314 0.006144151 0.0040381877 0.0015822648 0.007917529 0.0042702532 0.0038160502 0.001383706 0.003544273 0.0017684136 0.0045110057 0.0040555615 0.0032240972 0.0017361478 0.00505456 0.0038917507 0.0103014745 0.005581982 0.0018962357 0.0011144108 0.0028902702 0.0012670528 0.00053238554 0.00059195317 0.0016579652 0.0025254185 0.0010660121 0.0008773813 0.005259324 0.0011615684 0.0010920729 0.009090266 0.0031310227 0.003236507 0.0010374693 0.000620496 0.0026706147 0.015234417 0.0022399905 0.051883392 0.0012000392 0.01103366 0.0008600074 0.0006825456 0.0026644098 0.0004455161 0.0007297033 0.0006477978 0.0011268207 0.0009394309 0.0015164921 0.0005696153 0.0011777014 0.0005907122 0.00050136074 0.0007148114 0.00095928676 0.0004777819 0.00046661298 0.00042069628 0.0008997192 0.0033395092 0.00046785397 0.0025589254 0.0014283818 0.00082029565 0.0005658923 0.00045420305 0.0010498792 0.00045916703 0.0005112887 0.0004889508 0.00085007946 0.00045172108 0.0007445952 0.0006602077 0.0013291023 0.00068750954 0.0017361478 0.0005385905 0.00088110426 0.00067261764 0.0007148114 0.0015847468 0.0031608066 0.0025427926 0.0046661296 0.00082650065 0.0010039625 0.0004815049 0.00085628446 0.00071729335 0.012036381 0.0011528815 0.0022945942 0.01038338 0.0043720147 0.0010622891 0.0035690928 0.003379221 0.0018763798 0.0017708956 0.0009865887 0.0013067645 0.001687749 0.00089599617 0.0009952756 0.00094563584 0.0028840653 0.0011541225 0.0029845857 0.0013576451 0.0018192942 0.000770656 0.0016095665 0.0008786223 0.003379221 0.00065648474 0.001089591 0.0017932333 0.0015016003 0.0007210163 0.00056465133 0.0008451155 0.002447236 0.0006602077 0.00088110426 0.0009940346 0.0024410312 0.0024397902 0.0005522414 0.0006961965 0.027701423 0.0060461126 0.0010970369 0.0059195315 0.0065549193 0.0010461562 0.0006825456 0.00075700507 0.007267249 0.0009803836 0.0018230171 0.000922057 0.009168449 0.002177941 0.0041101654 0.0026023602 0.010101674 0.0030640091 0.003083865 0.0036249375 0.014939061 0.004009645 0.00431617 0.06916668 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010201035 0.0 0.0 0.00015301553 0.00010076632 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002733753 0.0 0.0 0.00069230195 0.00039560112 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010161848 0.0 0.0 0.0045033838 0.0031691631 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001215416 0.0 0.0 0.000781872 0.00055048265 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055297074 3.732086e-06 1.8038416e-05 6.717755e-05 0.00014928344 7.588575e-05 6.2201434e-06 7.464172e-06 1.5550359e-05 0.0 0.0 1.866043e-06 8.086186e-06 3.1100717e-06 4.9761147e-06 0.00035952427 0.006115023 0.00020650876 0.00021397293 0.00055234873 0.0019164261 0.00048952526 0.0024544685 0.0010679986 0.0001953125 0.00010076632 9.268014e-05 7.5263735e-05 0.0006736415 0.00038129478 0.00040182125 0.0028973427 0.013362734 0.0006431628 0.00094857183 0.0020874802 0.004141371 0.0036195014 0.006987087 0.0032189242 0.0004553145 0.00023636545 0.00031162918 0.00033153364 0.0020887242 0.0011078075 0.0011252239 0.0090160975 0.020833125 0.0013068521 0.0012371865 0.00208437 0.0073385253 0.0025689192 0.0067115347 0.0032661972 0.0023991093 0.0009778065 0.0009796725 0.0013398188 0.0040704617 0.0026578673 0.002682126 0.009610121 0.020286376 0.0015668541 0.0012552249 0.0022747065 0.009457106 0.0040567773 0.00590416 0.0034185909 0.0058301403 0.0014181926 0.0017845591 0.0023126493 0.0038751492 0.0017783389 0.0040580216 0.009704046 0.07428655 0.009853329 0.007307424 0.010118308 0.042217355 0.030716311 0.021382987 0.01400403 0.05166451 0.0053107585 0.006077702 0.009176577 0.016849747 0.0070996718 0.027542794 0.061296403 0.060481563 0.010167446 0.009152319 0.011715018 0.028224522 0.030720044 0.017736739 0.01466461 0.0500056 0.00590727 0.006506892 0.009184663 0.021177722 0.0109785525 0.025176652 0.048709944 0.0002344994 4.7895104e-05 8.645999e-05 5.2249205e-05 9.0814094e-05 9.9522294e-05 4.3541004e-05 6.593352e-05 0.0001349771 2.9234674e-05 3.3588774e-05 2.9234674e-05 8.459395e-05 6.033539e-05 7.339769e-05 0.00010760848 5347.0 16.034225 85735.0 0.005458681 0.00012830233 0.0005598647 9.331078e-05 0.003359188 0.00057152857 0.00012830233 0.00017495772 0.00039657083 0.0004082347 0.0007348224 0.0005831924 0.00050154544 0.014288214 0.0011313932 0.0004665539 0.026605237 0.018382225 0.026721876 0.0142415585 0.022569546 0.015967809 0.023770923 0.012923543 0.026197003 0.015991135 0.0008281332 0.0005132093 0.0009564355 0.00053653703 0.000116638475 0.00013996617 0.0013646702 0.008549601 0.0074182074 0.014544819 0.007149939 0.016166093 0.0047355224 0.0030792558 0.0049338075 0.017635738 0.0024610718 0.0040006996 0.006835015 0.006683385 0.0044439263 0.009237767 0.012935207 0.0026243657 0.0059952177 0.020516708 0.013098502 0.00627515 0.005913571 0.0034991545 0.0027876596 0.00536537 0.001527964 0.0029976089 0.0011663848 0.0027993235 0.002915962 0.022242958 0.00025660466 0.03097918 0.013028518 0.026605237 0.02673354 0.052615616 0.012037091 0.01027585 0.018907098 0.034699947 0.008281332 0.0066134017 0.024027526 0.011897125 0.038234092 0.033965126 0.018965418 0.0028693066 0.039727066 0.028564764 0.041756574 0.010964017 0.011418907 0.0056919577 0.014078264 0.006695049 0.0010497463 0.0002915962 0.00054820086 0.00025660466 0.00030326005 0.0003149239 5.772852 0.0 2.0 14.0 4.0 805807.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5817614 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.32476807 0.005957031 0.004211426 0.0059692385 0.005004883 0.0024536133 0.0021362305 0.0030273437 0.009240722 0.0030151368 0.0016601563 0.0017578125 0.003918457 0.0016479492 0.0017456055 0.005725098 0.0077026365 0.0022094727 0.0018432618 0.0012695312 0.003442383 0.005786133 0.0018798828 0.0011230469 0.0033203126 0.0012207031 0.00091552734 0.0014282226 0.0024291992 0.0010498047 0.0010253906 0.0009887696 0.0098022465 0.0008911133 0.001208496 0.0013793946 0.011010742 0.0024780273 0.0013671875 0.0011108399 0.0022338866 0.001171875 0.0014038086 0.002380371 0.002282715 0.0015136718 0.001965332 0.0012817383 0.0025512695 0.0016967773 0.0012695312 0.003491211 0.0017456055 0.0021240234 0.0012207031 0.0009643555 0.0020996095 0.0016845703 0.0011962891 0.0031860352 0.0014648438 0.0014160157 0.001171875 0.0010986328 0.015771484 0.0038330078 0.0017944336 0.00279541 0.0048583983 0.004760742 0.003063965 0.0015136718 0.0025268556 0.0017822266 0.0018432618 0.0024536133 0.0044433596 0.0020751953 0.0014526367 0.0019042969 0.009033203 0.0022338866 0.0022705079 0.0044555664 0.003979492 0.0025390624 0.0040893555 0.0035522461 0.0017333984 0.0032226562 0.0015258789 0.0019409179 0.0021728515 0.0016601563 0.0021118163 0.003161621 0.0015869141 0.0056030275 0.0016967773 0.003515625 0.003942871 0.009973144 0.0028808594 0.0022583008 0.007312012 0.0061401366 0.0038330078 0.0016479492 0.0060668946 0.0024658204 0.005895996 0.00592041 0.004760742 0.0030029297 0.008557129 0.0061035156 0.012036133 0.0073364256 0.0018554687 0.0020141602 0.0016479492 0.0026245117 0.0012451172 0.001184082 0.0024536133 0.0016723633 0.001538086 0.0010742188 0.0020507812 0.002282715 0.0011352539 0.0073364256 0.0029785156 0.0060302736 0.0010498047 0.0010131836 0.0020263672 0.008374023 0.0016845703 0.014868164 0.0012451172 0.0053100586 0.0010620117 0.00080566405 0.0011962891 0.0010742188 0.0007324219 0.0009399414 0.0010986328 0.0013427734 0.0011474609 0.0009765625 0.0015014649 0.0010253906 0.0008666992 0.00079345703 0.0010009765 0.001208496 0.0008789062 0.0010253906 0.0015014649 0.0014404297 0.00091552734 0.001550293 0.0016479492 0.0016113281 0.001965332 0.0012329102 0.0016845703 0.001953125 0.001208496 0.0010253906 0.0009887696 0.0009765625 0.0010864257 0.0011352539 0.0014648438 0.0010864257 0.0013183594 0.001159668 0.0015625 0.0016357421 0.0028076172 0.0013061523 0.001989746 0.0014404297 0.0015258789 0.0013061523 0.0014038086 0.001159668 0.0014526367 0.0018432618 0.0043579102 0.0026733398 0.0021484375 0.0024902343 0.0037841797 0.0017700195 0.0016357421 0.0029418946 0.0017211915 0.0022094727 0.0017089844 0.0010986328 0.0028198243 0.0012207031 0.0012451172 0.001184082 0.0019042969 0.0017089844 0.0014404297 0.0023925782 0.0010864257 0.0012695312 0.0021118163 0.001928711 0.002331543 0.0017944336 0.0016357421 0.001171875 0.0011230469 0.00091552734 0.0013793946 0.0011108399 0.0016845703 0.0013916015 0.0016113281 0.0007446289 0.0014038086 0.00079345703 0.0010253906 0.0010620117 0.0048583983 0.0024414062 0.0010498047 0.0025268556 0.0022949218 0.0012573242 0.013098145 0.0018188476 0.0020629882 0.0013916015 0.00091552734 0.0012451172 0.0017333984 0.0008666992 0.0021606446 0.0013427734 0.0022216798 0.0019775392 0.0017822266 0.0013061523 0.002368164 0.0018554687 0.0026245117 0.02418213 0.11392405 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.022312598 9.271163e-05 0.00043265428 3.708465e-05 0.00017924249 0.00032140032 0.0007293315 0.00048828125 6.798853e-05 4.3265427e-05 0.00015451938 0.00010507318 0.00013597705 1.8542325e-05 4.9446204e-05 0.0001483386 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03406843 0.00014215783 0.0013288667 0.00019778482 0.0005562698 0.00092093553 0.0054885284 0.003220184 0.0002781349 6.1807754e-05 0.00017924249 0.00025959258 6.798853e-05 6.798853e-05 0.0024290448 0.0013659514 0.009017752 0.0010692741 0.0002719541 0.00022868869 0.0002534118 0.00019160403 0.0005130044 0.00025959258 0.00020396558 8.6530854e-05 9.889241e-05 8.6530854e-05 0.00010507318 8.6530854e-05 9.271163e-05 9.271163e-05 0.027621886 0.00041411194 0.002280706 0.00056245056 0.0023981407 0.0017738825 0.00733658 0.0045366893 0.0011681665 0.00016070016 5.5626977e-05 0.00036466576 0.0004264735 0.00033376185 0.0003708465 0.0008282239 0.021465832 0.0010260087 0.0041473 0.0009703817 0.003022399 0.0035168612 0.01490803 0.009574021 0.0010136472 0.00019160403 0.0010754549 0.00032140032 0.00051918515 0.00031521954 0.00038938885 0.00083440467 0.00788667 0.001155805 0.0017862441 0.00039556963 0.0016935325 0.0011187203 0.006465091 0.003387065 0.00017924249 0.000111253954 0.000111253954 0.0003523042 0.00017306171 0.00017924249 0.0001483386 0.00017306171 0.018808099 0.003214003 0.0015884592 0.0009827432 0.0046108584 0.0025464795 0.005290744 0.0032016416 0.0007725969 0.00024723102 0.0031521954 0.001100178 0.00051918515 0.00023486947 0.010550584 0.0064712716 0.026157042 0.0021261866 0.0024970332 0.0017677017 0.002700999 0.003139834 0.0030409414 0.0030100376 0.006570164 0.0010692741 0.00087148935 0.0013350474 0.0028246143 0.0011743474 0.0017924248 0.003214003 0.020761224 0.004215289 0.005142405 0.002509395 0.0060942443 0.0034179688 0.0032696303 0.0039680577 0.0093267895 0.001236155 0.002089102 0.0016255439 0.0043018195 0.0020149327 0.0030594838 0.002917326 0.056547914 0.014500099 0.013733683 0.010389883 0.025934534 0.022516565 0.012398635 0.01761521 0.030001484 0.0032943531 0.0038197192 0.0077197882 0.016070016 0.009555479 0.010117929 0.024265723 0.017435968 0.010068483 0.0105444025 0.0106865605 0.010025217 0.010612391 0.011978342 0.01044551 0.0104022445 0.010482595 0.010451691 0.011409711 0.010179737 0.011626039 0.010532041 0.010334256 562.0 14.208185 7985.0 0.061490294 0.0008766437 0.0021289918 0.0008766437 0.0038822794 0.013149655 0.0006261741 0.0011271134 0.0035065748 0.0025046964 0.0032561051 0.0006261741 0.0021289918 0.002629931 0.01014402 0.002003757 0.0043832185 0.004884158 0.0037570444 0.0028804007 0.0008766437 0.00037570443 0.00075140886 0.0006261741 0.0012523482 0.0012523482 0.0032561051 0.0023794614 0.0010018785 0.0006261741 0.0008766437 0.0010018785 0.004884158 0.016656231 0.00338134 0.011020664 0.008390733 0.0063869758 0.00676268 0.004884158 0.0035065748 0.00676268 0.0016280526 0.0028804007 0.0058860364 0.0065122102 0.002629931 0.0058860364 0.011772073 0.005259862 0.009893551 0.013149655 0.008390733 0.0025046964 0.004758923 0.0042579835 0.002003757 0.0023794614 0.002755166 0.0018785222 0.0042579835 0.001377583 0.0012523482 0.015278648 0.00025046963 0.042830307 0.005259862 0.02316844 0.027676893 0.08353162 0.012273012 0.012273012 0.015278648 0.048966814 0.0025046964 0.004884158 0.042579837 0.015028178 0.044082657 0.046712585 0.017658109 0.0008766437 0.05297433 0.04420789 0.06725109 0.019912336 0.006637445 0.007764559 0.0063869758 0.014026299 0.0021289918 0.00050093926 0.0006261741 0.00012523482 0.0006261741 0.0006261741 5.436552 0.0 0.0 2.0 3.0 81920.0 86016.0 0.0 0.0 146.0 0.0 1.0 0.0 0.0 0.0 1212209500.0 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 45056.0 4096.0 4096.0 5.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 16384.0 0.0 0.0 0.0 0.0 0.0 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 -24576.0 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 6.0372343 0.0 0.0 0.0 0.0 0.0 7.137841 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.778878 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.509043 0.0 4.250103 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 15178.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24176.0 0.0 4696.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 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 -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 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 40844.0 4696.0 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 616.0 28672.0 0.0 0.0 0.0 0.0


Input: 0.010670016 0.0041264975 0.0040552435 0.0039402363 0.0041421237 0.003902109 0.0039139846 0.0037964778 0.004017741 0.0038539812 0.003883983 0.00383398 0.0039364863 0.0038196042 0.0038046034 0.0040264917 0.003882108 0.0038264797 0.0038864831 0.0036970968 0.0038721072 0.003906484 0.0037496 0.0037052224 0.0037395994 0.0037621008 0.0037621008 0.003716473 0.0037408494 0.0038121038 0.003798978 0.0036933466 0.0046034013 0.0037358492 0.004062119 0.0037158479 0.003833355 0.0037245986 0.0038121038 0.0038321048 0.0037796018 0.0037258486 0.0037983528 0.0038139788 0.0038321048 0.0038689822 0.0046934066 0.003849606 0.0039877393 0.003834605 0.0038452307 0.0039771134 0.003962738 0.0039221104 0.0038052283 0.0038371051 0.003833355 0.003985239 0.0038389803 0.0038452307 0.0038721072 0.0038721072 0.0038033533 0.0038102285 0.004352761 0.0040046154 0.0041227476 0.004037742 0.0039052344 0.004150874 0.004113372 0.004117122 0.0038114786 0.0039246106 0.0037952277 0.0038977338 0.0038539812 0.003971488 0.0039577372 0.0039771134 0.0040408676 0.003916485 0.0046402784 0.0041202474 0.0039277356 0.003931486 0.0039952397 0.00400274 0.003882733 0.0039902395 0.0038039782 0.0037964778 0.003784602 0.003767726 0.003851481 0.0038089785 0.003768976 0.004019616 0.0038489809 0.0038871083 0.0038871083 0.0042421296 0.0039608628 0.003814604 0.0039908644 0.0039902395 0.0040083653 0.0037964778 0.003969613 0.0038352301 0.003947112 0.004078995 0.0038902333 0.0037983528 0.004051493 0.004050868 0.0043365103 0.0042283786 0.003848356 0.0037971027 0.0037727263 0.0038083536 0.0037896023 0.003848356 0.0037771016 0.0039733634 0.003781477 0.0037602256 0.0039214855 0.0039596125 0.0038946087 0.0040721195 0.0038121038 0.0038964837 0.0037596007 0.0038452307 0.0037777266 0.003963363 0.0037427247 0.004182751 0.0037739764 0.0039964896 0.0046077766 0.0037946026 0.0039189854 0.0037589755 0.0038121038 0.003883983 0.0038927335 0.0038114786 0.0037889774 0.0038121038 0.0037564754 0.0037558503 0.0036939716 0.0037483498 0.0037914775 0.0037496 0.003783352 0.0038364802 0.003750225 0.0038414805 0.0038089785 0.0037483498 0.0038608566 0.003767101 0.0037521 0.0038564813 0.003718348 0.0037058473 0.0037952277 0.0039046092 0.0038189793 0.003750225 0.0037045972 0.0037214733 0.0037883522 0.003736474 0.0037295988 0.0037414746 0.0037983528 0.0037208484 0.003700847 0.003781477 0.0038271046 0.0038021032 0.0037696012 0.0037902275 0.0038089785 0.003783352 0.0037602256 0.0037014722 0.003938361 0.0038877332 0.0038033533 0.0037902275 0.0037883522 0.0038046034 0.0038321048 0.0038396055 0.0038139788 0.0037564754 0.0037589755 0.0037214733 0.0037589755 0.0037771016 0.0037683512 0.0037952277 0.0037777266 0.0037389745 0.0038489809 0.0037377242 0.00383273 0.0038571064 0.0038052283 0.0038046034 0.0038152288 0.0036864711 0.003735224 0.0037577255 0.0038614818 0.0037233485 0.0037227233 0.003732099 0.0038783576 0.0038321048 0.003816479 0.0037158479 0.0038208542 0.0037571003 0.0037902275 0.003814604 0.0040696193 0.003920235 0.003781477 0.0038533562 0.0039052344 0.0037902275 0.0036927215 0.0039577372 0.0038414805 0.0037871022 0.0037939777 0.003698972 0.0038414805 0.0038858582 0.003682096 0.003867107 0.0038908585 0.0037470998 0.0038296047 0.0038371051 0.0038764826 0.0037514751 0.004316509 0.0073410654 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0019219e-05 0.0 0.00034971072 3.8787235e-05 1.3137612e-05 1.4076013e-05 0.00013262732 7.2256866e-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 0.0010725922 1.8455217e-05 0.00035721794 0.00022928261 0.0006215342 0.00042259318 0.0010800994 0.00057430135 1.5952815e-05 8.7584085e-06 2.5962423e-05 9.696809e-06 1.126081e-05 1.00096095e-05 1.126081e-05 1.5327214e-05 0.0008276696 4.7232843e-05 0.00042509558 0.00017047615 0.00022865701 0.00023960503 0.00046982605 0.00027088504 0.00023585142 9.0399284e-05 2.6900825e-05 2.4085622e-05 3.096723e-05 2.8777626e-05 4.9422444e-05 0.0006778382 0.0006556294 6.1308856e-05 0.00024367143 0.00012261771 0.00026431624 0.0003293787 0.00037191954 0.00024805064 0.00027807945 8.2579274e-05 4.8796846e-05 4.285364e-05 5.9744856e-05 4.9735245e-05 5.9744856e-05 0.0009252633 0.0010475682 8.602008e-05 0.0007813751 0.00031498988 0.0004254084 0.0007447775 0.0003397011 0.00027651546 0.0007629199 0.00018799298 9.258889e-05 0.00010384969 0.00012512012 0.000105726496 0.00020613539 0.0014460757 0.0021664547 0.00030060107 0.00031717948 0.0003365731 0.0008811584 0.0006418662 0.00030310347 0.00036628914 0.00069879583 0.00020019218 0.00018423937 0.00015921534 0.00031123628 0.00020332019 0.00045543723 0.00080233277 0.003163662 0.00069035025 0.00062966696 0.0006819046 0.0012877987 0.0011426595 0.0006449942 0.00079419994 0.0013381597 0.00025806023 0.00036566352 0.00022959542 0.0005846237 0.0003187435 0.00060151494 0.0013619325 0.060531236 0.059381068 0.05960816 0.060145553 0.06018528 0.059661336 0.05967698 0.059927218 0.059705757 0.060011987 0.05979897 0.05971295 0.059754238 0.059760183 0.060055777 0.059802722 7580.0 6.973087 52856.0 0.032503404 0.008400181 0.0126570305 0.0074731344 0.008608295 0.007965037 0.0077569243 0.008002875 0.0077380054 0.008305585 0.00845694 0.008475859 0.009062358 0.008494779 0.009440744 0.009270471 0.01097321 0.010008325 0.01012184 0.00985697 0.009686696 0.009327229 0.0091569545 0.008646132 0.008608295 0.009592099 0.007927198 0.008343424 0.008343424 0.009251552 0.008286665 0.008135311 0.008627214 0.012297563 0.0114840325 0.012865143 0.010027244 0.011502951 0.016024671 0.015986832 0.008759649 0.010992129 0.009175874 0.0091569545 0.009989405 0.0096677765 0.012581353 0.011124565 0.00955426 0.011975935 0.00957318 0.010916452 0.00955426 0.009308309 0.010765098 0.012089451 0.009005601 0.014094899 0.009402906 0.008248827 0.008059634 0.00845694 0.0077569243 0.007378538 0.0077001667 0.013943545 0.010216437 0.012297563 0.0126570305 0.019959891 0.0095353415 0.011048888 0.010216437 0.014738156 0.009308309 0.0088920845 0.013546239 0.010897533 0.014265173 0.01435977 0.010916452 0.008229908 0.014511124 0.013981383 0.016497655 0.01012184 0.0095353415 0.010386711 0.008873165 0.01012184 0.008608295 0.00787044 0.0074731344 0.008400181 0.0077569243 0.0078515215 6.527982 0.0 11.0 0.0 23.0 1599904.0 401408.0 0.0 0.0 166.0 0.0 1.0 1.0 0.0 0.0 1539765100.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 25088.0 1024.0 4096.0 5.0 1.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -25088.0 0.0 66048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2252626 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.982401 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4740334 0.0 7.40818 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -155648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5028.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -131896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24925.0 0.0 65750.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 2.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 34052.0 65750.0 331776.0 0.0 0.0 3880.0 1596024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 692.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.13749817 0.0083311135 0.004040746 0.003305083 0.0060245157 0.0038115263 0.0019585676 0.001892562 0.007609851 0.0014581248 0.0016429407 0.0014533245 0.0044151777 0.0013249135 0.0011881017 0.0037551215 0.005950109 0.0014533245 0.0011460981 0.00086527405 0.0023858042 0.0019141638 0.0007416635 0.0007980683 0.0022285907 0.0007296625 0.00080286874 0.00068765884 0.0015625338 0.00058445 0.0005748492 0.00054724683 0.0037575217 0.0005676486 0.00063125405 0.000525645 0.0040227445 0.0012757092 0.00045003853 0.0005436465 0.0011460981 0.0006324541 0.00056524837 0.0009132782 0.0010704916 0.0022681942 0.0006552561 0.00050164293 0.006755378 0.0033374857 0.004313169 0.010492498 0.0044655823 0.0025430177 0.003984341 0.0022969965 0.004954024 0.0026318254 0.0006924593 0.0014365229 0.0016153383 0.00094568095 0.00045123862 0.0005124439 0.011411777 0.0038079259 0.004751207 0.008556733 0.003750321 0.0315627 0.0031682712 0.0026258249 0.0032798809 0.0034394944 0.0021217817 0.0022825955 0.002627025 0.004253164 0.0011244962 0.001484527 0.008782351 0.0020785779 0.0019933707 0.009458009 0.003107066 0.013414748 0.0031238673 0.002031774 0.0018673599 0.0063149408 0.0026582275 0.0031598704 0.00151813 0.004495585 0.0023053973 0.0034946993 0.0055888784 0.0045951935 0.0019789694 0.003516301 0.01227585 0.006263336 0.0041607562 0.0018277564 0.011054146 0.00443918 0.0038931333 0.001646541 0.006755378 0.0020485753 0.004565191 0.0042195613 0.006518958 0.0020125723 0.005010429 0.0040611476 0.013213131 0.005704088 0.0020053717 0.0014281223 0.0061757285 0.0012253049 0.0005148441 0.000572449 0.0016033372 0.002442209 0.0010308883 0.00084847264 0.0050860355 0.0011232961 0.0010560903 0.008790753 0.0030278591 0.0031298678 0.0010032859 0.00060005137 0.002582621 0.014732461 0.0021661855 0.050173894 0.0011604993 0.010670113 0.0008316712 0.0006600565 0.0025766206 0.00043083687 0.0007056604 0.0006264536 0.0010896933 0.00090847776 0.0014665255 0.00055084715 0.0011388975 0.0005712489 0.0004848415 0.00069125916 0.0009276794 0.00046203955 0.00045123862 0.00040683482 0.0008700745 0.0032294765 0.00045243872 0.0024746119 0.0013813182 0.0007932679 0.00054724683 0.0004392376 0.0010152869 0.000444038 0.0004944423 0.00047284047 0.00082207035 0.0004368374 0.00072006165 0.0006384546 0.00128531 0.0006648569 0.0016789438 0.0005208446 0.00085207296 0.00065045565 0.00069125916 0.0015325312 0.0030566617 0.0024590106 0.0045123864 0.0007992684 0.0009708831 0.00046563987 0.00082807086 0.00069365936 0.011639796 0.0011148955 0.00221899 0.010041259 0.004227962 0.0010272879 0.0034514954 0.0032678798 0.0018145554 0.0017125466 0.00095408165 0.0012637082 0.0016321397 0.0008664742 0.0009624824 0.00091447827 0.0027890387 0.0011160956 0.0028862471 0.0013129124 0.0017593506 0.00074526377 0.0015565333 0.0008496727 0.0032678798 0.00063485437 0.0010536902 0.0017341485 0.0014521243 0.0006972597 0.00054604677 0.00081726996 0.0023666027 0.0006384546 0.00085207296 0.0009612823 0.0023606021 0.002359402 0.00053404574 0.00067325763 0.026788693 0.0058469004 0.0010608908 0.00572449 0.006338943 0.0010116866 0.0006600565 0.0007320627 0.0070278016 0.00094808114 0.0017629509 0.00089167635 0.008866359 0.0021061802 0.0039747404 0.0025166154 0.009768836 0.0029630535 0.0029822553 0.0035055 0.014446837 0.003877532 0.0041739573 0.06688773 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017234164 0.0 0.0 0.00050211186 0.00023752598 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010771051 0.0 0.0 0.005224369 0.0037090133 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.010635752 0.0 0.0 0.013466219 0.011612315 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00053458376 3.6079896e-06 1.7438617e-05 6.494381e-05 0.00014431958 7.3362455e-05 6.0133157e-06 7.215979e-06 1.503329e-05 0.0 0.0 1.8039948e-06 7.817311e-06 3.0066578e-06 4.8106526e-06 0.00034756967 0.0059116906 0.00019964209 0.00020685807 0.0005339825 0.0018527026 0.00047324796 0.0023728544 0.0010324863 0.00018881811 9.7415716e-05 8.9598405e-05 7.276112e-05 0.0006512421 0.00036861625 0.0003884602 0.0028010025 0.012918406 0.00062177685 0.0009170307 0.002018069 0.004003666 0.0034991484 0.006754758 0.003111891 0.0004401747 0.000228506 0.00030126714 0.00032050975 0.0020192715 0.0010709716 0.0010878089 0.008716301 0.020140398 0.0012633976 0.0011960486 0.0020150621 0.00709451 0.0024834995 0.006488368 0.0031575921 0.002319336 0.0009452933 0.00094709726 0.0012952682 0.003935114 0.0025694899 0.0025929417 0.009290573 0.019611828 0.0015147543 0.0012134871 0.0021990696 0.009142646 0.0039218846 0.0057078395 0.0033049183 0.005636281 0.001371036 0.0017252204 0.002235751 0.0037462958 0.001719207 0.0039230874 0.009381374 0.07181643 0.009525694 0.0070644435 0.009781861 0.040813576 0.029694956 0.020671977 0.013538379 0.049946602 0.005134169 0.0058756107 0.0088714445 0.01628947 0.0068635987 0.026626963 0.059258223 0.058470476 0.009829367 0.008847993 0.0113254795 0.027286023 0.029698564 0.017146971 0.014176994 0.04834285 0.0057108463 0.00629053 0.008879262 0.020473536 0.010613503 0.024339497 0.047090277 0.000226702 4.630253e-05 8.358509e-05 5.0511855e-05 8.779441e-05 9.621305e-05 4.2093212e-05 6.374115e-05 0.00013048896 2.8262584e-05 3.2471904e-05 2.8262584e-05 8.1781094e-05 5.8329166e-05 7.0957125e-05 0.00010403036 5347.0 21.16888 113190.0 0.004134641 9.718173e-05 0.00042406574 7.067762e-05 0.0025443945 0.00043290044 9.718173e-05 0.00013252054 0.0003003799 0.0003092146 0.00055658625 0.00044173514 0.0003798922 0.010822511 0.0008569662 0.0003533881 0.028138528 0.01801396 0.028138528 0.01427688 0.025046382 0.015619755 0.026380422 0.013711459 0.027528934 0.015884796 0.0006272639 0.0003887269 0.0007244456 0.0004063963 8.834703e-05 0.000106016436 0.0010336603 0.006475837 0.0056188707 0.011016875 0.005415673 0.012244898 0.0035868892 0.0023323614 0.0037370792 0.0133580705 0.0018641222 0.003030303 0.0051771356 0.005062285 0.0033660217 0.0069970847 0.009797685 0.0019878082 0.004541037 0.015540242 0.009921371 0.00475307 0.004479194 0.0026504109 0.0021114938 0.0040639634 0.0011573461 0.0022705186 0.0008834703 0.0021203286 0.0022086757 0.016847778 0.00019436346 0.025496952 0.011776659 0.022828871 0.043820124 0.042221043 0.010999205 0.009974379 0.039332096 0.028562594 0.007765704 0.007279795 0.04269812 0.011502783 0.03045322 0.02791766 0.039402775 0.0046293843 0.030992137 0.023827193 0.055561446 0.01055747 0.0099125365 0.006891068 0.035550844 0.0050711194 0.0007951232 0.00022086757 0.000415231 0.00019436346 0.00022970227 0.00023853697 5.6433153 0.0 2.0 14.0 4.0 833262.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.613295 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0