Input: 0.014020205 0.004744212 0.0043040784 0.0038003123 0.0041038254 0.0037954582 0.003355148 0.003990769 0.003259831 0.0036200047 0.0033615907 0.003413044 0.0033568249 0.0028036349 0.0038967764 0.004478561 0.0033738583 0.0030316007 0.0037014652 0.0036163863 0.0034118968 0.0033249643 0.0030028292 0.0040494595 0.0039309314 0.0033338782 0.0025319823 0.0037333257 0.004225972 0.004033838 0.0036229172 0.005957294 0.0061679613 0.0032725402 0.0031290355 0.0034533772 0.00408485 0.0034296361 0.0036070312 0.00413648 0.00282058 0.0030518114 0.002863296 0.0032453572 0.003230177 0.003039632 0.0036532774 0.0052681896 0.003427518 0.0038349086 0.0031316832 0.0032620376 0.0023631481 0.002881124 0.0039079846 0.0041580144 0.004337616 0.0039581144 0.0042103506 0.0038147862 0.0040852916 0.0035643151 0.004533633 0.006129482 0.003729619 0.0030316007 0.0028295822 0.003350647 0.0029588775 0.0030758171 0.0029237515 0.0048321155 0.003017303 0.0039251065 0.0025620777 0.0033819778 0.0030715808 0.0033242581 0.0037249415 0.0041813143 0.0025996747 0.0024512277 0.002461642 0.0030855252 0.0024696733 0.0028662968 0.002885978 0.0037555664 0.0032819835 0.003024893 0.0024149546 0.0038434695 0.0035476347 0.0038126681 0.0037341202 0.0059223445 0.0038523835 0.0031240932 0.0036768417 0.0045558736 0.0039712647 0.0031778412 0.0030780234 0.004280867 0.0027901316 0.0026849303 0.0019587583 0.003613562 0.0046453653 0.003950171 0.0034439336 0.0046711364 0.0037928987 0.0039933287 0.0038202582 0.0040944703 0.004643777 0.0038372034 0.0036973173 0.0038655335 0.0040226295 0.003823259 0.0031368902 0.0038192873 0.004962735 0.004109562 0.0047929296 0.007882515 0.004667694 0.0035905272 0.0036601613 0.0036058838 0.002903629 0.00300177 0.0027467096 0.0043771546 0.0030925856 0.0036698696 0.0034013942 0.003693081 0.003960762 0.00351498 0.0043398226 0.005172343 0.0034378439 0.0035710225 0.0038035777 0.004092352 0.0024432847 0.0027403552 0.0032030824 0.004675549 0.0033757116 0.003009713 0.0024448733 0.0038680048 0.0040429286 0.0039898865 0.0039371094 0.0047880756 0.0031165031 0.0027828948 0.002749181 0.0042786608 0.0027785702 0.0025062996 0.0027285288 0.0037529187 0.002149833 0.0023915668 0.0023831823 0.0034021002 0.003114385 0.003257713 0.0038972176 0.004271159 0.0035520475 0.004307256 0.0034910624 0.0036202695 0.0028057531 0.0031506582 0.004412634 0.0036343022 0.0034952988 0.00353016 0.0039474354 0.003755478 0.0038234354 0.0036622796 0.00481164 0.0064198445 0.004280426 0.003983885 0.0030732576 0.0038289072 0.0039454056 0.0040418697 0.0045365454 0.004633539 0.003985827 0.004110798 0.0026595125 0.0044797966 0.0031214454 0.0031082954 0.004254302 0.0045772316 0.0052686306 0.00539925 0.0027563295 0.0035000646 0.0021416252 0.0029209275 0.0034814426 0.0043966593 0.004312463 0.0039953585 0.0032652149 0.0043959534 0.0031955808 0.003676224 0.0035241586 0.0051082694 0.004494271 0.004265246 0.0043521784 0.004760981 0.0043298495 0.0044187233 0.0035489586 0.004657633 0.005304904 0.0038830966 0.0031709573 0.0042084972 0.003876389 0.0036447165 0.0043157283 0.00433135 0.005021072 0.0050995317 0.0051656356 0.004344941 0.0048816274 0.0036984645 0.0039808843 0.0043505016 0.0061830534 0.006535019 0.005465972 0.0042892518 0.006872599 0.0055626123 0.007903343 0.019232703 0.0011917523 4.4132435e-08 0.001789835 0.0 5.295892e-07 1.323973e-07 4.4132435e-08 0.0 4.4132435e-08 8.826487e-08 4.4132435e-08 8.826487e-08 0.0 0.0 0.0 4.4132435e-08 0.0001685859 0.0 2.647946e-07 0.0 4.4132435e-08 4.4132435e-08 0.0 0.0 8.826487e-08 8.826487e-08 8.826487e-08 0.0 8.826487e-08 4.4132435e-08 4.4132435e-08 1.1386168e-05 0.00023593199 4.4132435e-08 5.295892e-07 3.5305948e-07 1.323973e-07 8.826487e-08 0.0 8.826487e-08 1.7652974e-07 4.854568e-07 1.323973e-07 1.323973e-07 1.7652974e-07 4.854568e-07 2.2066217e-07 3.2172546e-05 0.0005152462 7.0611895e-07 2.250754e-06 1.6770325e-06 1.1474433e-06 9.267811e-07 4.8104353e-06 3.1334027e-06 1.9418271e-06 3.5305948e-06 2.2948866e-06 1.5887676e-06 1.8535623e-06 9.709136e-07 5.295892e-07 9.0074296e-05 0.0001910493 1.015046e-06 7.798201e-05 2.736211e-06 1.2357082e-06 7.0611895e-07 3.4864622e-06 2.8686081e-06 1.6329001e-06 5.295892e-07 5.295892e-07 6.619865e-07 1.0591784e-06 8.3851626e-07 8.1645e-06 6.703717e-05 5.8696136e-05 8.826487e-08 6.937618e-05 4.678038e-06 1.015046e-06 1.1474433e-06 9.0471485e-06 4.1925814e-06 8.826487e-08 4.4132435e-08 8.826487e-08 8.826487e-08 4.4132435e-08 8.826487e-08 1.4387174e-05 1.7697106e-05 0.0003245499 4.4132435e-07 6.2844585e-05 1.3857584e-05 2.8686081e-06 1.6329001e-06 1.5755279e-05 1.0018062e-05 4.9428327e-06 4.369111e-06 4.4132435e-07 9.6208705e-06 5.7372165e-07 1.778537e-05 0.00019263808 0.00024149269 0.0009242656 2.250754e-06 1.376932e-05 8.4425345e-05 7.604018e-05 6.6419314e-05 0.00046012475 0.00022163309 1.8359093e-05 2.0168522e-05 4.589773e-06 3.3937842e-05 5.1193624e-06 6.227086e-05 0.0001568908 0.00047084893 0.0020988944 2.3257793e-05 0.00027379763 0.00017489684 0.00024352277 0.00022679658 0.0010661072 0.00046542066 0.00028972942 8.389576e-05 2.158076e-05 0.00061653013 1.4519571e-05 0.0009739587 0.000267928 0.00048020502 0.0006298581 7.7673085e-06 0.00020861402 0.00028540444 5.4327025e-05 2.1889688e-05 0.00025270233 0.00018972534 0.00028800828 0.00016209843 1.902108e-05 0.00063127035 1.5313955e-05 0.0010655335 4.947246e-05 0.0008189214 0.0004573444 1.0106327e-05 8.142434e-05 0.00017966314 4.0469444e-05 2.3875647e-05 0.00029418682 0.00021466016 8.685263e-05 4.8545677e-05 1.8270828e-05 0.00015896502 2.1271833e-05 0.0002627204 3.879241e-05 0.00059358124 0.00040010465 4.2499534e-05 0.00016999814 9.682656e-05 7.2068266e-05 7.056776e-05 0.0004271137 0.00022865014 8.266005e-05 2.2286878e-05 2.3081264e-05 0.0001615247 2.2639939e-05 0.00023610852 2.3434322e-05 8.963297e-05 0.0003646663 4.5985995e-05 0.000110022156 7.961491e-05 6.500707e-05 5.419463e-05 0.00026726603 0.00014749059 7.286265e-05 2.7891698e-05 2.3963912e-05 0.00012961696 2.753864e-05 0.00019029906 2.012439e-05 9.0736285e-05 0.00026907545 4.2102343e-05 0.00011209638 8.252765e-05 9.81064e-05 5.1590814e-05 0.00013067614 9.016256e-05 6.853767e-05 4.024878e-05 4.3558714e-05 9.197199e-05 4.170515e-05 0.0001330593 3.9763323e-05 0.00020133216 0.00037124203 0.00010397602 0.00014285669 0.00012198205 0.00011836319 9.0250825e-05 0.00020473036 0.00014087073 9.4796465e-05 6.814048e-05 6.633105e-05 8.905925e-05 6.174127e-05 9.4134484e-05 4.695691e-05 8.2615916e-05 0.062076725 0.05860452 0.055336643 0.060470704 0.05314644 0.051548712 0.05433241 0.06657457 0.058389682 0.0569443 0.049338605 0.06049908 0.06241125 0.058303446 0.066708826 0.09530686 41783.0 6.809468 284520.0 0.10188036 0.007584704 0.008955434 0.007960776 0.009412344 0.00791157 0.008512583 0.010044988 0.0069450303 0.007240264 0.007370308 0.008097849 0.009324476 0.0065197526 0.013398004 0.011292703 0.012336567 0.0102172075 0.009264726 0.007827218 0.0067974133 0.0060276957 0.009795445 0.008909742 0.01024884 0.009907915 0.012825109 0.009008154 0.009848165 0.008786729 0.011549276 0.009907915 0.009141712 0.009721637 0.009278785 0.008498523 0.009366653 0.0076831155 0.0075565865 0.008902714 0.00785182 0.010916632 0.0063229296 0.00831576 0.008027555 0.007524954 0.009795445 0.009834107 0.0073492196 0.006115563 0.007106706 0.008445803 0.006568958 0.006857163 0.007598763 0.008175172 0.00768663 0.0062702093 0.005377478 0.009647828 0.008115423 0.009500211 0.009426402 0.009967665 0.009306903 0.013151975 0.011299733 0.013401519 0.012740756 0.015116688 0.008551245 0.009869253 0.008041614 0.01218895 0.004533952 0.007939688 0.014870659 0.011285674 0.012884859 0.014494588 0.012378743 0.009654857 0.015679039 0.01229439 0.017489104 0.011521159 0.009451006 0.008213834 0.009767327 0.00911711 0.0073597636 0.008277099 0.011714467 0.009514269 0.010160973 0.009071418 6.33686 0.0 63.0 0.0 94.0 11330648.0 11354112.0 0.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1534965100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 11321856.0 512.0 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 -11321856.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -7.9292264 0.0 3.4482727 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 -11321428.0 0.0 984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 11329524.0 984.0 11337728.0 0.0 0.0 6744.0 11323904.0 12.0 11345920.0 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: 0.27325517 0.029493753 0.03231829 0.015386732 0.028457904 0.009395359 0.02533805 0.008555269 0.007927719 0.004953286 0.025279881 0.006215099 0.0062676743 0.0040908237 0.00489288 0.0054186354 0.0066055 0.010209721 0.008819265 0.0061580488 0.0024117625 0.0035684241 0.0042127543 0.004089705 0.0026220647 0.0016466208 0.0012718803 0.0022417312 0.0012181862 0.0018345504 0.0014139462 0.0015000806 0.0077834157 0.0015437071 0.004207161 0.00087029283 0.0013904549 0.0021634272 0.0017651954 0.0011913391 0.015620526 0.0010761204 0.0072352877 0.0015727914 0.0010973744 0.0010190704 0.0015246903 0.0010582224 0.0034297144 0.0009832743 0.0011443568 0.0012774735 0.00079310744 0.00076514174 0.00076849764 0.00072039664 0.0040192315 0.0041478737 0.0025616589 0.0012036441 0.0010850695 0.0014888942 0.0013926922 0.0022641036 0.0018826515 0.002982263 0.0016734679 0.0031019563 0.0020347848 0.0022573918 0.001844618 0.001477708 0.001137645 0.0025795568 0.0009195125 0.0011521871 0.0018256013 0.0019665486 0.0016287228 0.0021343427 0.0027451138 0.0009687321 0.0020280732 0.0036489654 0.0028815866 0.0015493002 0.0028077571 0.00075731135 0.0022361379 0.0014284883 0.00182672 0.0016533326 0.0006376181 0.0006678211 0.00056490727 0.003667982 0.00074276916 0.011885426 0.0029419924 0.005873917 0.0074142683 0.020865774 0.002316679 0.0034039859 0.0032462594 0.011819427 0.00062307593 0.0017115013 0.007999311 0.004467801 0.010555376 0.022139892 0.008834926 0.0011298145 0.014673048 0.0112332655 0.015169718 0.0059320857 0.0023860342 0.0016924846 0.0023491194 0.0033212074 0.0008568693 0.012782565 0.0013636079 0.0049085408 0.003635542 0.0021376987 0.0052620275 0.0033681898 0.0019027868 0.0013087951 0.0025426422 0.00093852915 0.0023569497 0.0008042937 0.0006141269 0.00066670246 0.00047653564 0.0005458906 0.0011119165 0.0009821557 0.00091839384 0.0019441759 0.00045192582 0.0015067923 0.00049331505 0.00085351337 0.0010716459 0.0006130083 0.0019296338 0.0005011455 0.00089042814 0.0009374105 0.0011611362 0.00046087487 0.0010358498 0.0010380871 0.0006197201 0.00089266535 0.001224898 0.0009877487 0.0018256013 0.0006599907 0.0009955792 0.0011935764 0.0004474513 0.00046870526 0.00066334655 0.00040606208 0.00045640033 0.00097208796 0.0004977896 0.0005973475 0.00043514642 0.00056267006 0.00062978774 0.00058727985 0.0005380602 0.00042396013 0.0006846005 0.00044633268 0.00043738366 0.00038704538 0.0004921965 0.00052799255 0.00058392395 0.00038145224 0.00081212417 0.00039040128 0.00039711304 0.00045528173 0.0007271084 0.00058727985 0.0004071807 0.00039823167 0.0009485968 0.00046199348 0.00085575064 0.00040158755 0.00065775344 0.0004586376 0.00035460517 0.000466468 0.0008020565 0.0007047358 0.00040046894 0.0014799453 0.0007875143 0.00081100554 0.00083337806 0.00045975624 0.00048772193 0.0009004958 0.0004586376 0.00068348186 0.00045192582 0.0005156876 0.00039263853 0.00044185817 0.00088371633 0.001312151 0.0005861612 0.00078080257 0.00052799255 0.0006029406 0.00053917884 0.0010336125 0.0006275505 0.00031769043 0.0005011455 0.00053134846 0.0006599907 0.00046423075 0.00039823167 0.00038816402 0.00045975624 0.00034901203 0.00047317977 0.00035013066 0.0005604328 0.0004150111 0.0008031751 0.00039375716 0.0005772122 0.00047653564 0.0006957868 0.0005436533 0.0006521603 0.00045080722 0.00038480814 0.00048772193 0.0006823633 0.00043402778 0.0014396746 0.0037910312 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0057165865 0.00013718911 2.6877868e-05 2.407809e-05 3.0237601e-05 4.255662e-05 0.00010695151 0.00013438934 7.111436e-05 1.7918577e-05 4.5916357e-05 5.3195778e-05 5.8795333e-05 0.0003326136 4.311658e-05 3.919689e-05 0.005482525 0.00020102404 3.0797557e-05 4.703627e-05 1.2878978e-05 6.1035156e-05 5.6555513e-05 0.0001775059 3.6397112e-05 6.2155064e-05 8.119355e-05 2.01584e-05 6.4954846e-05 0.0003942087 4.4796445e-05 0.00010751147 0.015388139 0.00058403367 0.00016014729 0.0003113353 0.00014558845 0.00038244965 0.0007128234 0.0013181354 7.7273864e-05 0.0003214145 0.00028053773 0.000121510355 0.00010919134 0.0007749785 0.00017526609 0.0009261665 0.045439273 0.0018596124 0.0043519745 0.0022213438 0.011189032 0.009181592 0.06661959 0.03337895 0.00048324166 0.0002620592 0.00021558288 0.00022510214 0.0002167028 0.00044908436 0.0003062957 0.00020606365 0.12331677 0.0125323655 0.013561564 0.0074675675 0.0077805826 0.0071741506 0.02709569 0.022745956 0.003718105 0.001752101 0.0024156482 0.000944645 0.0008404933 0.00086233154 0.0008556121 0.002028159 0.18943465 0.028271036 0.023138484 0.0121336775 0.0048755333 0.0068868934 0.013085041 0.022158561 0.0098261 0.0056521916 0.004334616 0.002620592 0.0032802196 0.003504762 0.0025382785 0.00541533 0.06829274 0.008896574 0.0058638547 0.0032600614 0.003553478 0.004247263 0.0070123235 0.008846178 0.0074670073 0.0040344796 0.0031939866 0.00252204 0.0030931944 0.0021849466 0.0018831305 0.002116632 0.02407473 0.0047461833 0.0022745396 0.0012559803 0.0016737072 0.0014150077 0.002621712 0.002682747 0.0027885786 0.0017196236 0.001146229 0.0009681632 0.0016597083 0.0014323663 0.0014452453 0.0008477727 0.008986167 0.002292458 0.0015432375 0.0011781465 0.0011154314 0.0006260303 0.00069714466 0.0007912172 0.0009048882 0.00045356402 0.0005095596 0.00056891487 0.00068594556 0.0008102557 0.000806336 0.0009664833 0.00063834933 0.0002850174 0.00014390858 0.00013662915 0.00018254551 4.53564e-05 4.5916357e-05 0.000117030715 0.0002698986 7.05544e-05 5.823538e-05 1.4558845e-05 5.2635824e-05 2.407809e-05 0.000101911915 0.00010695151 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00011479089 6.663471e-05 3.191747e-05 3.7517024e-05 5.4875643e-05 3.191747e-05 3.4717246e-05 0.00011983049 0.00012934973 0.00012431013 0.00012431013 0.00012039045 5.7115467e-05 2.9677645e-05 3.191747e-05 3.7517024e-05 7924.0 15.765396 124925.0 0.0066039623 0.00011206724 0.00022413448 7.204323e-05 0.0003041825 1.6009606e-05 0.00010406244 0.00018411047 0.00038423055 0.0002561537 0.00012807685 0.00013608165 0.00040824496 0.00018411047 0.0031939163 0.00066439866 0.0011446868 0.0015529317 0.0014408645 0.0011446868 0.00063237944 0.0004962978 0.00050430256 0.0002801681 0.00028817292 0.0002721633 4.0024013e-05 3.2019212e-05 0.0022893737 0.00013608165 0.0023374024 0.00022413448 7.204323e-05 0.012751651 0.0053392034 0.012319392 0.007788673 0.008877327 0.008260957 0.0058675203 0.0021853112 0.010958575 0.00028817292 0.0020412246 0.0075645386 0.0073964377 0.00568341 0.010102062 0.011022613 0.0008485091 0.009213528 0.018779268 0.011759056 0.0047228336 0.0039703823 0.0016489894 0.00088853313 0.00072843704 0.00042425454 8.004803e-05 1.6009606e-05 2.4014409e-05 2.4014409e-05 0.019875925 0.00023213928 0.06102862 0.010374225 0.030114068 0.03835101 0.111034624 0.007988793 0.017586552 0.013344007 0.059523713 0.0010646388 0.0038903342 0.041240744 0.022021214 0.05369622 0.06036422 0.018643185 0.00121673 0.05211927 0.042809688 0.07574145 0.02784871 0.009421653 0.004306584 0.0040504304 0.012711627 0.0016089653 6.4038424e-05 6.4038424e-05 0.00010406244 5.603362e-05 6.4038424e-05 5.0234256 0.0 0.0 0.0 2.0 893952.0 917504.0 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 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 891904.0 512.0 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 -891904.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -5.832984 0.0 3.1262827 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 -891476.0 0.0 808.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 75.0 899584.0 808.0 901120.0 0.0 0.0 0.0 0.0 12.0 909312.0 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: 0.15064184 0.009741741 0.005137568 0.006323773 0.012900532 0.004429914 0.0034223916 0.002785503 0.0118708955 0.0027713499 0.002169844 0.0019761238 0.0077691562 0.0036974922 0.0019849695 0.017219875 0.00962321 0.0017470208 0.0016178739 0.0014506907 0.006023905 0.0021875354 0.001513495 0.0013701951 0.004796125 0.0019513558 0.0012242415 0.0013392351 0.004067241 0.0014736895 0.0011729365 0.0017328677 0.0058452217 0.0011366692 0.0010420205 0.0014825352 0.02335612 0.0019345491 0.0009677168 0.0009933693 0.0035329624 0.0012056655 0.0011048248 0.0031835584 0.0031915195 0.001200358 0.0012038964 0.00102256 0.0036276113 0.0012950068 0.001331274 0.0041158926 0.0023157976 0.0015444548 0.0011030557 0.0010853643 0.0028173474 0.0018319392 0.0011968198 0.005131376 0.0024263687 0.0016797937 0.0012277797 0.002564361 0.0051897573 0.0028766135 0.0016196431 0.0020159292 0.009342802 0.009108392 0.0041955034 0.00237241 0.004107047 0.0023016445 0.0017647122 0.003446275 0.011488763 0.008891672 0.0021671904 0.0014657283 0.008927055 0.0090703545 0.0029367642 0.0035966514 0.00403982 0.00416189 0.0051260684 0.0037319902 0.0029208418 0.0034701582 0.0011234008 0.0024590977 0.0032463626 0.0037443743 0.003943402 0.0030137214 0.0019168578 0.001965509 0.0014878425 0.0013525037 0.0039849766 0.0029385332 0.0025617075 0.001225126 0.0043945312 0.0018089405 0.0058416836 0.0010296366 0.002720045 0.0013065062 0.0020053145 0.0026147815 0.0021716133 0.0010092915 0.0025183635 0.002183997 0.008975706 0.007846998 0.0018522843 0.0012552013 0.0018991664 0.0038107168 0.0011092477 0.00097125507 0.0031278306 0.0029137654 0.0021601138 0.0027598506 0.0036576865 0.0022246873 0.0010420205 0.012646661 0.0043733018 0.005812493 0.001724022 0.0008969514 0.0029349949 0.015326017 0.0024697124 0.038040824 0.0017638275 0.012375099 0.0014701511 0.0010181372 0.013087176 0.0009756779 0.0011234008 0.0014728048 0.0016966005 0.001108363 0.0010340593 0.00081734033 0.0015409165 0.0014082314 0.0012888148 0.0009279113 0.0012684697 0.0009951384 0.0017558665 0.0008889903 0.0015426857 0.002024775 0.0009075662 0.0011357847 0.0012322025 0.0013427734 0.0009341033 0.0007890342 0.0015002264 0.0008642224 0.0013020834 0.0010207909 0.0013799253 0.0009172965 0.0011879741 0.0015418011 0.0017063307 0.0008872212 0.00086068414 0.00089341315 0.0023600261 0.0009677168 0.0014586517 0.00097037054 0.0029111116 0.0016842164 0.0009420644 0.0010066378 0.0011384384 0.00090402795 0.0016364498 0.0015506468 0.009291497 0.006649294 0.006131822 0.004559061 0.008282205 0.0012799691 0.0048147007 0.0056116963 0.002648395 0.0031012937 0.0016753708 0.0015258789 0.0059664077 0.0013073907 0.0023821401 0.0017602893 0.002634242 0.0019885078 0.0015948751 0.0014851888 0.0014984573 0.0010455587 0.0010871334 0.0011570143 0.0068438984 0.008555537 0.0011490531 0.002548439 0.0018381312 0.0019124349 0.0017496744 0.001448037 0.0033648948 0.0013613494 0.001114555 0.0010216754 0.001828401 0.000983639 0.0010827106 0.0009323341 0.01492 0.005309174 0.0010747495 0.0038452148 0.004374186 0.0011632063 0.0012525476 0.001231318 0.003662994 0.0016567949 0.0012198186 0.0022485706 0.0036656477 0.0013622339 0.0029058042 0.0024511365 0.0039619775 0.0018319392 0.0018160171 0.0019372028 0.004859814 0.0018823596 0.003388778 0.030679453 0.008159565 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017295692 7.0829556e-06 5.7549014e-06 8.853694e-06 8.853694e-06 2.6561083e-06 4.4268472e-07 2.6561083e-06 1.1067118e-05 2.6561083e-06 1.3280542e-06 8.8536945e-07 8.8536945e-07 1.7707389e-06 1.7707389e-06 2.7003769e-05 0.0008455278 1.7707389e-06 5.3122167e-06 1.8150075e-05 5.3122167e-06 0.0 0.0 3.5414778e-06 5.7549014e-06 1.7707389e-06 1.7707389e-06 1.7707389e-06 5.3122167e-06 3.5414778e-06 2.6561083e-06 4.426847e-06 0.0008025874 5.3122167e-06 6.197586e-06 1.0624433e-05 4.869532e-06 5.3122167e-06 3.098793e-06 6.197586e-06 6.197586e-06 4.426847e-06 7.0829556e-06 3.9841625e-06 4.426847e-06 6.197586e-06 4.869532e-06 2.523303e-05 0.0060997526 8.189667e-05 7.392835e-05 0.00012705052 0.00014564328 0.00014564328 0.00017176167 9.56199e-05 0.00011509803 3.3201355e-05 1.9478128e-05 2.2576922e-05 3.4086723e-05 2.4790344e-05 1.593665e-05 4.6481895e-05 0.0021766808 3.6742833e-05 3.8070888e-05 9.207842e-05 6.861613e-05 1.0624433e-05 3.851357e-05 1.6379336e-05 8.942231e-05 2.523303e-05 7.968325e-06 4.869532e-06 3.275867e-05 1.4608596e-05 1.0181749e-05 5.710633e-05 0.005280786 9.3406474e-05 8.322473e-05 5.6663645e-05 0.0005533559 6.728808e-05 8.1011305e-05 7.437103e-05 5.79917e-05 0.00022842531 0.00015892381 4.5596527e-05 3.364404e-05 2.9659877e-05 3.4086723e-05 0.00037451126 0.020241316 0.00081321184 0.00081940944 0.00021912894 0.0021842064 0.00027490722 0.0006688966 0.0012120708 0.00015449697 0.00056043884 0.0003829223 0.0002660535 0.0023550827 0.0003855784 0.0002899585 0.0027171988 0.016870271 0.00057593285 0.00078974955 0.00034130993 0.0018163354 0.0003709698 0.0011253046 0.0019672909 0.00036255879 0.00067907834 0.00044534082 0.00042497733 0.004142201 0.0003280294 0.00030235367 0.002096555 0.006930672 0.00021071793 0.0004750007 0.00047145924 0.0010226017 0.0003275867 0.0019960655 0.0014041959 0.00025985594 0.00021514477 0.00023108143 0.00028199016 0.0019664054 0.00011199924 0.0001044736 0.0003098793 0.0051873797 0.0001478567 0.00073175784 0.0006547307 0.0012890979 0.00054848637 0.0027840442 0.0016551982 0.00032935743 0.00015848113 0.00017707389 0.00020319229 0.00013811764 8.632352e-05 0.00011465534 0.00030014024 0.0024086477 0.00010048943 0.00038159423 0.00047278727 0.00035680388 0.00024126317 0.0006578295 0.0004116968 0.00029084386 0.00012926394 0.00013236274 0.00011067118 0.0001912398 0.00010314554 7.171492e-05 0.00028597433 0.01546165 0.0017548022 0.002378545 0.0013975557 0.0046344665 0.0023661498 0.0035184582 0.0026268912 0.004268366 0.0016640519 0.0008552669 0.0017911023 0.005174099 0.002813704 0.003306855 0.0058248457 0.06750677 0.0128073115 0.014381056 0.008302552 0.022224987 0.02165658 0.008169747 0.011837389 0.0400882 0.0067504994 0.0031997252 0.004336097 0.019467061 0.011452696 0.014406731 0.021717228 0.07589697 0.017812306 0.023312664 0.014133595 0.029033035 0.030844944 0.010929001 0.016344363 0.05286541 0.011903793 0.005109467 0.0054994724 0.024684986 0.014270385 0.017490031 0.027022803 0.00900465 0.00886122 0.008932049 0.008928065 0.009038737 0.008693443 0.008997125 0.008923196 0.008936919 0.00904582 0.008884682 0.008879812 0.008801015 0.008917884 0.008733285 0.008761173 3439.0 9.548124 32836.0 0.04400658 0.002009989 0.0023754416 0.0019795347 0.034291632 0.0070045074 0.0015227189 0.0022536241 0.0057558776 0.002162261 0.0018272628 0.0038067973 0.004903155 0.0051163356 0.010415398 0.0024668048 0.008588135 0.0027408942 0.0038067973 0.0070349616 0.0054817884 0.0030758923 0.0023449871 0.0019186259 0.0054817884 0.004415885 0.0047813375 0.0051772445 0.004263613 0.00465952 0.002497259 0.009775856 0.020495797 0.010476306 0.0036240711 0.006821781 0.01717627 0.0064563286 0.0079790475 0.0069435984 0.007217688 0.007796321 0.0034108905 0.0019490803 0.013399927 0.005207699 0.0040504322 0.004080887 0.021470338 0.011450847 0.013278109 0.013887197 0.012120843 0.009349494 0.012973566 0.0100194905 0.0058167865 0.00563406 0.0013399927 0.006334511 0.005238153 0.007217688 0.008435863 0.012669022 0.0029845291 0.03380436 0.007522232 0.016963089 0.029632112 0.047874283 0.012790839 0.012851748 0.015166281 0.030028017 0.0061517847 0.004720429 0.021653064 0.013430381 0.033530273 0.03185528 0.012364478 0.0021318065 0.03462663 0.027165307 0.05034109 0.020739432 0.0059081498 0.004903155 0.0067304177 0.0063649653 0.0031063466 0.0013095383 0.0037458886 0.0019795347 0.0026799855 0.0026799855 5.99858 0.0 1.0 0.0 8.0 1130496.0 1146880.0 0.0 0.0 140.0 0.0 1.0 0.0 0.0 0.0 1073679040.0 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 794624.0 4096.0 4096.0 5.0 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 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -229376.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -794624.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.320606 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.3732567 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.746224 0.0 4.4131103 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 89868.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -241848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -794622.0 0.0 4128.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 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 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 882904.0 4128.0 1138688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 608.0 798720.0 0.0 0.0 0.0 0.0


Input: 0.20905437 0.026930166 0.022629531 0.010981978 0.023103112 0.008242884 0.021003993 0.007602908 0.009433238 0.0051198034 0.02009523 0.004556625 0.003699058 0.005158202 0.00390385 0.0026238991 0.0037886545 0.012057137 0.008959656 0.008204485 0.0023551097 0.0028158918 0.006898935 0.00547819 0.0033662708 0.003276674 0.0025855007 0.0018047307 0.0014719435 0.003071882 0.0022527135 0.0041982387 0.010546795 0.001638337 0.001638337 0.006143764 0.001484743 0.004287835 0.0024831046 0.0010495597 0.009407639 0.0014719435 0.0060541676 0.011839545 0.0034046692 0.0029566865 0.0077693015 0.0019071267 0.005964571 0.0036222609 0.0023039116 0.002316711 0.0014463444 0.0012415523 0.0037118574 0.0012159533 0.0057981773 0.0019071267 0.001638337 0.00084476755 0.0011135573 0.0006271759 0.00080636906 0.0006015769 0.0010111611 0.004556625 0.0015231415 0.0050174072 0.0029310875 0.003020684 0.0012799508 0.0012927504 0.0012031537 0.0044158306 0.0008959656 0.0006911735 0.0020479213 0.0019455253 0.0019071267 0.0016255375 0.00417264 0.001510342 0.0022783126 0.0057469793 0.0034814663 0.0016511366 0.0013951465 0.0011519558 0.0035582634 0.0027134959 0.0012543518 0.0009983616 0.0008191685 0.0005631784 0.000755171 0.0041598403 0.0017023346 0.012633115 0.0043262336 0.008102089 0.0074109156 0.026597379 0.005490989 0.0076413066 0.004851014 0.015832992 0.00083196803 0.0017023346 0.008242884 0.00650215 0.014937026 0.028837293 0.006066967 0.0012543518 0.015385009 0.0130171 0.023487099 0.0062333606 0.0026238991 0.0030590824 0.0031614786 0.0051454026 0.0012159533 0.007999693 0.00065277494 0.0033406718 0.0014207454 0.0009471636 0.0052477983 0.0033150727 0.0019199263 0.0015231415 0.0009343641 0.00065277494 0.0022143149 0.00052477984 0.0006015769 0.00070397294 0.0004735818 0.0004479828 0.00048638132 0.0014719435 0.0012927504 0.0008191685 0.0007679705 0.0020991194 0.003020684 0.0006143764 0.0013695474 0.0016255375 0.00078077003 0.00037118574 0.0006911735 0.0011007577 0.000755171 0.0004735818 0.0009215646 0.00085756707 0.0008831661 0.0006399754 0.0009087651 0.00097276265 0.00079356955 0.00048638132 0.0006143764 0.00072957197 0.00070397294 0.00042238378 0.0005631784 0.00055037887 0.00071677245 0.00037118574 0.00065277494 0.00055037887 0.00070397294 0.0006015769 0.00053757936 0.0008191685 0.0009983616 0.00079356955 0.0011391563 0.0008703666 0.0004607823 0.00067837397 0.0006143764 0.0006911735 0.00065277494 0.0009343641 0.00070397294 0.00085756707 0.00066557445 0.00052477984 0.0006911735 0.00066557445 0.0005119803 0.00053757936 0.00095996313 0.0008959656 0.0007423715 0.0005631784 0.00038398526 0.00079356955 0.00095996313 0.0005759779 0.0004991808 0.000755171 0.00071677245 0.0004607823 0.0006271759 0.00067837397 0.0008703666 0.0004991808 0.0004735818 0.0004607823 0.0005631784 0.0010111611 0.00040958426 0.00067837397 0.00055037887 0.0006911735 0.00066557445 0.0004351833 0.0008959656 0.0005119803 0.00053757936 0.0009215646 0.00038398526 0.00067837397 0.0006015769 0.0005631784 0.0005759779 0.00039678477 0.00042238378 0.0008703666 0.00071677245 0.0004351833 0.0006143764 0.00067837397 0.0005759779 0.00083196803 0.00048638132 0.000755171 0.0009471636 0.00078077003 0.000755171 0.00066557445 0.00039678477 0.00079356955 0.0004479828 0.00085756707 0.00033278723 0.0002943887 0.000755171 0.0014207454 0.0014463444 0.008242884 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.009173177 3.90625e-05 0.00041666668 0.00030598958 0.00037760416 0.00025390624 0.0017578125 0.0008919271 2.6041667e-05 1.953125e-05 1.953125e-05 1.953125e-05 6.510417e-06 6.510417e-06 6.510417e-06 1.3020834e-05 0.004440104 0.0 0.0006770833 0.00041666668 0.007018229 0.0059505207 0.0398763 0.021621093 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.021139324 0.0022591145 0.005579427 0.0023828126 0.0075065102 0.0052213543 0.038509116 0.020742187 0.0010091146 0.00044270835 0.00018880208 0.00017578126 0.00039713542 0.00024739583 0.00037109375 0.00049479166 0.12389323 0.020592447 0.028229166 0.008808594 0.0068554687 0.0060091144 0.032148436 0.018346354 0.0043815104 0.0039583333 0.0020507812 0.0016080729 0.001751302 0.0015429688 0.0016927083 0.004798177 0.1550651 0.0326888 0.02438151 0.01250651 0.0067122397 0.012389323 0.02561849 0.02154948 0.00860026 0.0065950523 0.0034244792 0.0045442707 0.003736979 0.0033072918 0.0030729168 0.009140625 0.028971354 0.006907552 0.004472656 0.0025065104 0.0014648438 0.0021158855 0.005748698 0.0038151043 0.0024414062 0.0019466146 0.0011979167 0.0010481771 0.00109375 0.00069661456 0.001061198 0.0011783855 0.02938151 0.007591146 0.0060872394 0.003919271 0.0026497396 0.0021419271 0.007050781 0.0041341144 0.0037565103 0.0022591145 0.0015234374 0.001985677 0.0019466146 0.002265625 0.0017838542 0.0015234374 0.0042578126 0.00070963544 0.0011783855 0.00048177084 0.0003125 0.0004231771 0.0008203125 0.0008203125 0.00040364583 0.00036458333 0.00032552084 0.0011523437 0.0003125 0.0007356771 0.0004361979 0.00059895834 0.008307292 0.0022135417 0.0026757813 0.0033658855 0.0022265625 0.0019010417 0.0051953127 0.0035807292 0.0017382812 0.0012630208 0.0013606771 0.0012760416 0.0012890626 0.0010546875 0.0011783855 0.0013736979 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 894.0 21.033558 18804.0 0.0047330353 0.00015954052 0.0010104233 0.0013295043 0.00026590086 0.00047862157 0.0004254414 0.00026590086 0.001223144 0.00095724314 0.0010636034 0.0049457564 0.001223144 0.0012763242 0.023558818 0.0026058285 0.00611572 0.004892576 0.0017017656 0.002712189 0.0014890449 0.0006913423 0.0010104233 0.0011699639 0.00074452243 0.00095724314 0.0026590086 0.00015954052 0.00037226122 0.00031908104 0.0005849819 5.3180174e-05 0.00026590086 0.013826845 0.0038821527 0.017815359 0.007923846 0.0070729633 0.0026590086 0.0019676664 0.0016485854 0.01531589 0.0002127207 0.00079770264 0.0044139544 0.0049457564 0.0039885133 0.0035098915 0.013188683 0.0006381621 0.005796639 0.020208467 0.010529675 0.00095724314 0.0021803873 0.0024994682 0.00031908104 0.00026590086 0.00037226122 0.00010636035 0.00047862157 5.3180174e-05 0.00010636035 0.009731972 0.00095724314 0.04589449 0.007604765 0.02472878 0.025473304 0.10306318 0.013614125 0.027919592 0.013454584 0.05482876 0.0004254414 0.0032971709 0.030046798 0.022654755 0.05493512 0.06668794 0.020474367 0.0006913423 0.057860028 0.04036375 0.092320785 0.018719422 0.0069134226 0.00893427 0.009785152 0.017443098 0.00079770264 0.00047862157 0.00015954052 0.00026590086 0.00010636035 0.00026590086 5.0981026 0.0 13.0 0.0 1.0 78128.0 98304.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1534933800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 72192.0 512.0 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 -72192.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.248886 0.0 3.4373662 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 -72128.0 0.0 1510.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 74.0 80240.0 1510.0 81920.0 0.0 0.0 3376.0 74752.0 12.0 90112.0 144.0 80096.0 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: 0.0566164 0.008293905 0.006163019 0.00565202 0.005750289 0.004964137 0.0041966042 0.0054203123 0.0050468897 0.005624091 0.003749739 0.004462448 0.004946552 0.0031725375 0.00432694 0.0046403664 0.005030339 0.003752842 0.004925864 0.0041604 0.004357972 0.0031818473 0.0041097137 0.0038366292 0.0050810254 0.0033463186 0.003163228 0.0029377264 0.004153159 0.0034383812 0.0037797368 0.0037921497 0.0061712945 0.003823182 0.0034869984 0.0030204793 0.0048855217 0.0041707437 0.0038386981 0.0037207752 0.004725188 0.0038893842 0.0033359746 0.0030970257 0.004365213 0.0037238786 0.003717672 0.0035852676 0.0055206497 0.003953518 0.0031063354 0.0028942812 0.0036711236 0.0030773717 0.0026915367 0.0028549735 0.0041790195 0.0033101141 0.003526306 0.0033535594 0.003991791 0.0032335678 0.0035097555 0.0034549318 0.006584024 0.003952483 0.003619403 0.003226327 0.004155228 0.003224258 0.0035428568 0.0030763375 0.0049931007 0.0037755992 0.0037083623 0.00358113 0.0041293674 0.0031321957 0.003566648 0.0034683791 0.0051575718 0.0036256094 0.003664917 0.0033370089 0.003921451 0.0033794197 0.003359766 0.0035356157 0.0046382975 0.0036411257 0.0038035281 0.0035035491 0.0041055763 0.0033897639 0.003684571 0.003788012 0.005909588 0.0036256094 0.0033411465 0.0029480704 0.0040135137 0.0030670278 0.0032728754 0.0030484083 0.004974481 0.0031766752 0.0032046044 0.0030515115 0.0035873363 0.0028373885 0.0030959912 0.0031880538 0.004505893 0.0032863228 0.003221155 0.003138402 0.0038976595 0.0033401123 0.0032935636 0.003626644 0.004616575 0.003294598 0.0034766544 0.003163228 0.004042477 0.0031942602 0.003480792 0.0033401123 0.008642501 0.004594852 0.004012479 0.003526306 0.004367282 0.00344045 0.0030163417 0.0033897639 0.004535891 0.0038324916 0.0029677243 0.0031942602 0.0037269818 0.0028001498 0.002850836 0.0029791028 0.005235153 0.00320357 0.0035045834 0.0030390986 0.0036607794 0.0031797786 0.0033194239 0.003271841 0.0045503727 0.0028415262 0.0030463396 0.0027070527 0.003515962 0.0032304646 0.002994619 0.0031528838 0.005004479 0.0034114865 0.0032759786 0.0027949777 0.0037766334 0.0030184104 0.003059787 0.0031828817 0.0041376427 0.0029977222 0.003125989 0.003017376 0.0036462978 0.0028477327 0.0029129006 0.0030442707 0.0046734675 0.0031239204 0.0038376637 0.0028622143 0.0035697513 0.0031497807 0.002994619 0.003120817 0.0042503937 0.0031415054 0.0033349402 0.0031818473 0.0036504355 0.0031921915 0.003324596 0.0033628691 0.0067184977 0.0040662684 0.0037280163 0.0033380433 0.004112817 0.003254256 0.0032997702 0.0032283957 0.0043331464 0.0033318368 0.0031166794 0.0030711654 0.0036380223 0.0029935846 0.0030815096 0.0027929088 0.0042503937 0.0032697723 0.003092888 0.0029987567 0.0037083623 0.0030163417 0.0029428985 0.0029491049 0.003977309 0.003110473 0.0027391196 0.0026387817 0.0035325126 0.0029511738 0.00358113 0.0028880746 0.004953793 0.0032408088 0.0033907983 0.0029749651 0.0038169755 0.0030711654 0.0031983978 0.002906694 0.0044386564 0.0054513444 0.0034704478 0.0031363333 0.0037797368 0.0030690965 0.003249084 0.0031952946 0.0046134717 0.003314252 0.0034270026 0.0030442707 0.0037487044 0.003087716 0.0033163207 0.003241843 0.004349697 0.0030339267 0.0031828817 0.0028601456 0.004017651 0.0030939225 0.004214189 0.0045100306 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-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 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-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 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.0045767953 0.00029255453 0.0002708071 0.0002702893 0.00029928586 0.00024025716 0.0003313892 0.0003070528 0.00033087138 0.00035054763 0.0003277646 0.00035106542 0.0005203846 0.0001532675 0.00018381744 0.0007378587 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.099121094 0.062008094 0.06244356 0.05532387 0.060610045 0.05951957 0.05500232 0.05447624 0.060467653 0.053223692 0.052155998 0.052987576 0.056434024 0.05057879 0.05666082 0.053843495 4028.0 5.703823 22975.0 0.017236127 0.010446137 0.0094015235 0.008748639 0.013405876 0.012491839 0.011838956 0.011490751 0.012535364 0.009706202 0.008487486 0.008618063 0.013841132 0.010576714 0.011751904 0.009880304 0.016757345 0.0119260065 0.008705114 0.0074863983 0.009793254 0.008487486 0.007834603 0.008313384 0.010315561 0.008400436 0.009619151 0.008879216 0.011490751 0.008966268 0.009662677 0.009227421 0.01797606 0.010881393 0.010359086 0.009053319 0.010794342 0.008879216 0.010750816 0.008313384 0.014189336 0.011577802 0.009749728 0.008966268 0.011403699 0.0094015235 0.011621327 0.009619151 0.014755169 0.009619151 0.009923831 0.009314472 0.012143634 0.0094015235 0.009619151 0.009749728 0.013667029 0.0092709465 0.010489663 0.0095321005 0.011099021 0.009793254 0.010359086 0.010707291 0.017932536 0.011011969 0.009706202 0.008182808 0.0130576715 0.008269859 0.009357998 0.008356909 0.0154515775 0.009314472 0.008879216 0.008705114 0.011316649 0.007965179 0.009923831 0.007834603 0.013231774 0.007921654 0.008748639 0.008835691 0.011490751 0.009488574 0.008313384 0.008008705 0.010968444 0.008879216 0.0119260065 0.008531012 0.011316649 0.009009793 0.010010881 0.008748639 6.5547924 0.0 0.0 0.0 14.0 966734.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 94208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 16384.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.042991307 0.023903225 0.012619682 0.019479502 0.0110739 0.017275603 0.009878407 0.015910273 0.009850544 0.014754586 0.008513077 0.0141110625 0.008291493 0.013098675 0.0075431494 0.013622781 0.007732889 0.0121154785 0.006911568 0.011677617 0.009857178 0.011863377 0.0066289487 0.010633386 0.0063901157 0.010575004 0.0058368184 0.00996996 0.0060066553 0.009711224 0.005709441 0.009388799 0.0065387227 0.00980145 0.005554199 0.00887 0.005645752 0.008762525 0.004987634 0.008417544 0.005065918 0.008126964 0.004727571 0.008003566 0.0047554346 0.007728908 0.0046506138 0.0075948965 0.0045099673 0.007480787 0.00436136 0.007670527 0.004166313 0.007350756 0.004082721 0.006785517 0.004094663 0.0069779106 0.00404955 0.0069142217 0.003992495 0.006338368 0.0037921409 0.0063887886 0.0039075767 0.006311831 0.0035891326 0.006145975 0.0036448603 0.007578974 0.003745701 0.0059562353 0.003371529 0.0057120947 0.0031552522 0.005245043 0.0032866106 0.0054918374 0.0032494587 0.0051972764 0.0041265073 0.0052808677 0.0030703337 0.0059071416 0.003111466 0.00546132 0.0033197817 0.0055409307 0.0029854153 0.005048669 0.002649722 0.004581617 0.002791695 0.004833719 0.0027956755 0.0046811313 0.0025993015 0.004699707 0.0025369395 0.004451586 0.002828847 0.005145529 0.0026258386 0.004166313 0.0033370308 0.0043547256 0.0031459644 0.003920845 0.0028248662 0.0038624639 0.0027226987 0.004342784 0.002603282 0.003549327 0.0026563562 0.004038935 0.0038372537 0.005095109 0.0021375574 0.0036408796 0.0020937712 0.0034829844 0.0019332223 0.0032945715 0.0023432192 0.0036236306 0.0018602454 0.0031167734 0.002355161 0.003254766 0.0017766538 0.0042711343 0.0022503396 0.0038133704 0.0016559103 0.0028845745 0.001864226 0.0036276113 0.0019969111 0.004667863 0.0016691788 0.003532078 0.001488727 0.002629819 0.0015683381 0.002462636 0.001515264 0.0024201765 0.0015179178 0.002568784 0.0013759447 0.0024360989 0.0014369799 0.002434772 0.0013719641 0.0021800166 0.0012870457 0.0022158416 0.0012684697 0.0021269426 0.0015391475 0.0022224758 0.001275104 0.0022344175 0.0012512207 0.002024775 0.001159668 0.0019491444 0.001141092 0.0017753269 0.0010628079 0.0017992102 0.001114555 0.001828401 0.0009871774 0.0017235797 0.001114555 0.0016545835 0.000927469 0.001588241 0.000989831 0.0015298595 0.001123843 0.0015497622 0.0008903172 0.0014529021 0.00084918475 0.0014515752 0.00083856995 0.0013759447 0.0008000913 0.0013852327 0.0016386613 0.0015311863 0.0008544922 0.001578953 0.0011663022 0.0011981466 0.0010216754 0.0013958475 0.0008345894 0.0013427734 0.0006501571 0.0010774032 0.00066475244 0.0010070801 0.0006461766 0.0009938115 0.0016214122 0.0028062903 0.0006222932 0.0009102199 0.00059177564 0.00089827826 0.00084653107 0.00081734033 0.00062096637 0.0007775348 0.00046705164 0.0008213209 0.000508184 0.00073109503 0.00044051462 0.0006475034 0.000642196 0.00064086914 0.00036753778 0.0005944293 0.00041795813 0.0004843007 0.0002720045 0.00046970532 0.0012100883 0.00071384595 0.00024546747 0.0008823561 0.0005957562 0.00039274796 0.00025077487 0.00033834708 0.0004763396 0.00031711743 0.00018310547 0.00031711743 0.00044980255 0.00023883322 0.00036355722 0.0003184443 0.0007854959 0.00038478686 0.00015126103 0.00022291101 0.00041530444 0.00024414062 0.00025210174 0.005333942 0.008163265 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0012622237 2.657313e-06 4.650298e-06 1.12935795e-05 1.2622237e-05 1.7272534e-05 2.9230443e-05 1.5943877e-05 0.0 0.0 0.0 0.0 6.6432824e-07 6.6432824e-07 6.6432824e-07 2.657313e-06 0.0024394132 6.443984e-05 1.8601191e-05 1.7272534e-05 2.5908801e-05 2.7237458e-05 4.450999e-05 3.1223426e-05 1.2622237e-05 4.650298e-06 5.978954e-06 5.314626e-06 7.971938e-06 5.978954e-06 3.985969e-06 5.978954e-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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0063097896 9.16773e-05 0.00032153487 0.00012755101 0.00011094281 0.00014415923 0.00081712374 0.00083173893 0.00025975233 0.00011559311 8.370536e-05 5.4474916e-05 4.1188352e-05 6.776148e-05 5.5139244e-05 9.16773e-05 0.0045260685 0.00010031356 0.00055205676 0.00025244473 0.00046901574 0.0003786671 0.0020149075 0.0011154071 2.2587159e-05 1.6608206e-05 1.5943877e-05 1.6608206e-05 7.3076108e-06 1.1957908e-05 1.9929846e-06 2.1922831e-05 0.002863919 9.0348636e-05 0.00038331738 0.00025510203 0.00032087055 0.00027237457 0.0014801233 0.0008529975 4.3845663e-05 2.989477e-05 2.989477e-05 2.3251489e-05 2.8566114e-05 3.9859693e-05 2.5908801e-05 6.244685e-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 0.0005905878 0.00031489157 0.00020660608 0.0001787043 6.11182e-05 6.709715e-05 0.00018069727 8.569834e-05 6.11182e-05 3.9195365e-05 0.00011160714 3.5873723e-05 4.982462e-05 0.00035807292 0.00010097789 0.00027901787 0.20912588 0.13459489 0.105197705 0.08580729 0.07208825 0.06081327 0.050691567 0.04328165 0.038179606 0.029654948 0.02410382 0.018770594 0.015138712 0.010218033 0.0062287417 0.0035880369 0.007122263 0.0056295176 0.0025111607 0.0022925967 0.00245735 0.0044337264 0.0022773172 0.0030412946 0.0050767963 0.00032950682 0.0007114955 0.00060121703 0.0022613732 0.0032658377 0.0020428093 0.0062858737 0.0001508025 0.00018534757 8.2376704e-05 5.8460886e-05 7.905506e-05 6.6432825e-05 5.248193e-05 7.374043e-05 0.00011027849 7.971938e-06 3.786671e-05 2.4580144e-05 7.573342e-05 0.00016807504 6.178253e-05 0.00012555804 8171.0 6.153225 50278.0 0.013385576 0.020307092 0.011317077 0.018238593 0.011038626 0.019153507 0.010899399 0.019133616 0.010959067 0.017482795 0.010083933 0.017761247 0.010044155 0.017124787 0.010262938 0.017741358 0.010163491 0.016806556 0.008791122 0.017124787 0.009487251 0.01527507 0.009268467 0.014797725 0.008612117 0.01565297 0.0094076935 0.014439715 0.00914913 0.01461872 0.007896097 0.014220932 0.007975656 0.014101595 0.008234218 0.013763475 0.0077369823 0.015235292 0.008055213 0.013067345 0.0077966508 0.01328613 0.007279526 0.011376745 0.007339194 0.011973428 0.0077568716 0.012311548 0.00817455 0.011774533 0.0072198575 0.01360436 0.007279526 0.010899399 0.0065436177 0.012192211 0.006762401 0.010024265 0.005608815 0.009725924 0.005946935 0.009924818 0.0063049444 0.010422054 0.0063049444 0.0122121 0.0057679303 0.011336966 0.0072994153 0.01770158 0.0053303633 0.009328135 0.0067027328 0.011515971 0.005748041 0.008612117 0.008612117 0.009586698 0.007896097 0.011575639 0.0067822905 0.0074983095 0.009228689 0.01087951 0.010402164 0.009009905 0.0046143443 0.008472891 0.0057281516 0.007896097 0.004554676 0.007339194 0.004136998 0.007199968 0.003938104 0.0064441706 6.48889 1.0 0.0 0.0 15.0 753664.0 86016.0 0.0 0.0 22.0 0.0 1.0 0.0 0.0 0.0 1180553600.0 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 -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 7.0 10.0 4.0 0.0 4.0 0.0 65536.0 4096.0 4096.0 3.0 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 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65536.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.514779 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.557199 0.0 2.2897034 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4924.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65314.0 0.0 5008.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 68972.0 5008.0 77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 104.0 4096.0 0.0 0.0 0.0 0.0