Input: 0.04582537 0.0052818186 0.0041964995 0.004550848 0.005302067 0.0040800706 0.0043038162 0.0038897349 0.0046095685 0.003944406 0.003799629 0.003668014 0.0044303695 0.0037095232 0.0036963618 0.0049953023 0.0041276547 0.003556647 0.0033875722 0.0035282993 0.003940356 0.0035434857 0.0035070383 0.0034230072 0.0035414607 0.0033956717 0.0033622617 0.0033612493 0.0036437158 0.0034948892 0.0034837527 0.0036771258 0.005414446 0.0035637342 0.0034138954 0.0034574296 0.0038300017 0.0035546224 0.003439206 0.0035019761 0.0035930944 0.0033187275 0.003398709 0.003979841 0.003379473 0.0038249397 0.00368725 0.0034635041 0.0049497434 0.0040699462 0.0038229148 0.0046601896 0.0037145854 0.0035748708 0.0035434857 0.0035201998 0.0035141252 0.003668014 0.003506026 0.0038198775 0.0037368587 0.0036194175 0.0034756532 0.0034088332 0.0040152753 0.005550111 0.0037763433 0.0034736283 0.0037236973 0.0045670466 0.00368725 0.003634604 0.003680163 0.003611318 0.0033936468 0.0034219946 0.003504001 0.0040415986 0.0036599145 0.003518175 0.0041499278 0.0034807154 0.0035080507 0.0038411384 0.0035343738 0.0039980644 0.003813803 0.0038553125 0.0035708211 0.0038866976 0.0034756532 0.0035414607 0.0034260445 0.003833039 0.0036022062 0.003577908 0.0035525975 0.0045619844 0.0034736283 0.0039383313 0.0037935546 0.004802942 0.0043534255 0.0036781381 0.0038178526 0.004183338 0.003930232 0.0035789206 0.004186375 0.0036143553 0.0042400337 0.004347351 0.003685225 0.003417945 0.004409109 0.0045518605 0.005471142 0.0047776313 0.0036508027 0.003739896 0.0035738584 0.0035860075 0.0034817278 0.0033136653 0.003474641 0.0036670014 0.0035758833 0.0035718335 0.003866449 0.0037388836 0.0035849952 0.0048545753 0.0036497903 0.004913296 0.0035262743 0.003308603 0.003680163 0.004787755 0.0034331314 0.006745784 0.003398709 0.004385823 0.003403771 0.003379473 0.0034888147 0.0033713735 0.003342013 0.0032731683 0.003504001 0.003405796 0.00341997 0.003391622 0.0034078208 0.0037317965 0.0033541622 0.0033278393 0.0035637342 0.0033906095 0.003243808 0.0034574296 0.0034645165 0.0033723859 0.0034128828 0.0035009638 0.0035313366 0.0032630442 0.0033521375 0.0034027586 0.003403771 0.0032934167 0.0033025285 0.0034422432 0.003465529 0.0034068082 0.0032762056 0.0034381936 0.0035282993 0.0034361687 0.003430094 0.0033217648 0.0033136653 0.0033592244 0.0038239271 0.0035505726 0.0034959016 0.0033491002 0.0034776782 0.0033065784 0.0035525975 0.003367324 0.0034999514 0.003558672 0.0044273324 0.004190425 0.0035809453 0.003780393 0.0035141252 0.0033278393 0.003560697 0.003771281 0.0036619394 0.0038583498 0.00341997 0.0033976964 0.004042611 0.0034716036 0.00345338 0.0034462928 0.0035161502 0.0034209823 0.0034786905 0.0034564172 0.0035647466 0.0033683362 0.003405796 0.0033278393 0.00344933 0.0034857774 0.0033926344 0.0035070383 0.0035201998 0.0034209823 0.003391622 0.0033926344 0.004033499 0.003472616 0.0034959016 0.0033663113 0.0036578896 0.0036832003 0.0036052435 0.003725722 0.0048525506 0.003544498 0.0033855475 0.0039271945 0.0037763433 0.0033389758 0.0033602368 0.0034462928 0.0040152753 0.003367324 0.003270131 0.003451355 0.0036923122 0.0034483178 0.0037054736 0.0037368587 0.004142841 0.0035151378 0.00348679 0.0037409083 0.004049698 0.0036933245 0.0037155978 0.01022245 0.0062305294 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.002560054 5.070418e-05 4.7661928e-05 2.78873e-05 5.6788682e-05 4.259151e-05 5.323939e-05 4.9690098e-05 3.9042217e-05 2.6366173e-05 3.954926e-05 2.230984e-05 1.7746463e-05 2.2816881e-05 3.4478842e-05 2.4338005e-05 0.000776281 3.599997e-05 3.2450676e-05 3.0422507e-06 8.264781e-05 1.7239421e-05 1.8760546e-05 1.8253504e-05 8.112669e-06 8.619711e-06 1.0140836e-05 2.535209e-06 2.535209e-06 7.0985852e-06 6.5915433e-06 8.112669e-06 0.0030873774 1.7239421e-05 0.00031538 2.9915465e-05 0.00035949264 0.00013335199 0.0007854077 0.00042388693 3.0422507e-06 8.112669e-06 4.563376e-06 3.5492926e-06 1.5211253e-06 3.0422507e-06 4.563376e-06 1.1661961e-05 0.009048668 0.00022867585 0.0010987596 0.0006221403 0.00058918254 0.00031132367 0.0029068706 0.0013842242 7.909852e-05 4.5633762e-05 4.1577427e-05 2.7380256e-05 4.867601e-05 5.628164e-05 7.605627e-05 5.0197137e-05 0.0074687256 0.00019267589 0.0011616327 0.00069363316 0.0004877742 0.00030067578 0.0022218572 0.0010658018 9.684498e-05 8.061965e-05 0.00014247875 0.0003250138 0.00021498572 9.684498e-05 0.00046039396 0.00056636566 0.0053168405 0.00017442238 0.0003310983 0.00026315468 0.00082090066 0.00034478842 0.0013614072 0.00093701325 0.00040715456 0.00014501395 0.00016073225 0.000107999906 0.00016833788 0.00012016891 0.00015819704 0.0006054079 0.0013750973 0.00017087309 0.00013436607 0.0015692944 0.00014754916 0.0001480562 0.00017999984 0.00016833788 0.00017847872 0.00015363366 9.025344e-05 0.00012473228 0.00019318292 9.58309e-05 0.000169859 0.0002925631 0.0040821936 0.00075143593 0.0005318868 0.0013365622 0.0006951543 0.00046445028 0.0007392669 0.00063532335 0.0010947032 0.0004538024 0.00021194346 0.00045076016 0.0007722247 0.00026315468 0.00091521046 0.0021782515 0.0078170635 0.001249351 0.00078895706 0.001238196 0.0021655755 0.0019982518 0.00073470356 0.0018491815 0.0048493478 0.0004842249 0.00034428138 0.0007630979 0.0024459697 0.00060743606 0.0021731812 0.004759094 0.009506526 0.0020053503 0.001782759 0.002620392 0.0033880533 0.0030163915 0.0025017443 0.003093969 0.0055698543 0.000933464 0.0010769567 0.0008634922 0.0029819128 0.0014217452 0.0026619695 0.004342813 0.052631952 0.052107163 0.052585304 0.052192856 0.052489474 0.052341416 0.052522432 0.052352067 0.052354094 0.052363727 0.052249137 0.052715108 0.05209956 0.05246463 0.0520666 0.052470714 4494.0 7.2421007 32546.0 0.023259386 0.007189824 0.007835064 0.008173048 0.008572482 0.007497081 0.0075892583 0.008541756 0.008756837 0.0068518403 0.006083697 0.008418853 0.0072205495 0.009832238 0.011214896 0.011214896 0.01948012 0.0145025505 0.013396423 0.010631107 0.009678609 0.009494254 0.008910465 0.010477478 0.009586431 0.009924415 0.010385301 0.0082959505 0.01017022 0.010262398 0.010200947 0.008111596 0.007619984 0.010477478 0.0074663553 0.009647883 0.010293123 0.008603208 0.009002643 0.010200947 0.009340625 0.009924415 0.0073434524 0.007527807 0.008173048 0.008541756 0.00887974 0.0078043384 0.011307073 0.007189824 0.007374178 0.0120752165 0.009217722 0.007404904 0.009340625 0.00952498 0.009248449 0.008265224 0.007404904 0.00642168 0.008050145 0.008418853 0.007189824 0.008449579 0.008756837 0.018988509 0.0100473175 0.016346095 0.012781909 0.025993979 0.009371351 0.012321022 0.010661832 0.018251091 0.008449579 0.007527807 0.016499724 0.012566828 0.017267868 0.019756652 0.012321022 0.006759663 0.020924231 0.017144963 0.023259386 0.01161433 0.009617157 0.00952498 0.009033368 0.009248449 0.007497081 0.0077736126 0.008418853 0.006974743 0.0073127267 0.007497081 6.4948177 0.0 32.0 0.0 11.0 987728.0 987136.0 1.0 0.0 96.0 1.0 1.0 1.0 0.0 0.0 1452341200.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 1.0 5.0 1.0 73216.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22528.0 0.0 0.0 0.0 0.0 0.0 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 -73216.0 0.0 859136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5060787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.725598 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2659464 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6966233 0.0 7.977632 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22364.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73085.0 0.0 858924.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 97892.0 858924.0 118784.0 0.0 0.0 22096.0 965632.0 4216.0 978944.0 56.0 78304.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 96632.0 0.0 0.0 404.0 77824.0 0.0 0.0 0.0 0.0


Input: 0.7121094 0.004345703 0.00375 0.0018945313 0.0042089843 0.0014941406 0.0021191407 0.0011328125 0.006201172 0.00071289064 0.0013574219 0.0043847654 0.0018359375 0.0011425781 0.0015527344 0.0027539062 0.004453125 0.0005273438 0.0005273438 0.00046875 0.00078125 0.0021191407 0.00016601563 0.00080078124 0.0006542969 0.00016601563 0.00015625 0.00020507812 0.00081054686 0.00022460938 0.00012695312 0.00044921876 0.0038378907 0.0011425781 0.0001953125 0.00015625 0.0019238282 0.00047851563 0.00083007815 7.8125e-05 0.00068359374 4.8828126e-05 0.00017578126 0.00040039062 0.00068359374 0.00044921876 0.0028613282 0.00022460938 0.0015527344 0.00036132813 0.004462891 0.0024511719 0.00095703127 0.00047851563 0.0007714844 0.00034179687 0.0011523437 0.00061523437 0.00038085936 0.00092773436 0.00041015624 0.00057617185 0.00080078124 0.00045898437 0.003076172 0.0011914063 0.0005175781 0.00080078124 0.001484375 0.004199219 0.0012695312 0.0014941406 0.0006738281 0.00047851563 0.00016601563 0.000234375 0.001328125 0.0011425781 0.0047753905 0.0009960937 0.005048828 0.000703125 0.00203125 0.0041015623 0.0008496094 0.0008691406 0.0024511719 0.0023339845 0.00025390624 0.00047851563 0.0005566406 0.00041015624 0.0024121094 0.0005175781 0.00203125 0.0008496094 0.0014453125 0.00375 0.00095703127 0.0029296875 0.0028808594 0.0064941407 0.0010644532 0.0010253906 0.0030957032 0.003046875 0.0016992188 0.0004296875 0.004355469 0.0014648438 0.0036914062 0.0034960937 0.001484375 0.00018554687 0.004375 0.0021679688 0.0060546873 0.0037304687 0.0006445313 0.0005175781 0.0012597656 0.00048828125 0.00016601563 0.0001953125 0.00069335935 0.0005859375 0.00036132813 0.000107421874 0.00234375 0.00020507812 0.0001171875 0.0019238282 0.0006542969 0.0019238282 0.00045898437 6.8359375e-05 0.00068359374 0.002138672 0.00025390624 0.0043945312 0.00016601563 0.0026757813 0.00044921876 3.90625e-05 0.0034082031 7.8125e-05 4.8828126e-05 8.789063e-05 0.00018554687 0.00012695312 0.000107421874 6.8359375e-05 0.0001953125 0.000107421874 5.859375e-05 4.8828126e-05 0.00015625 0.00014648438 0.00012695312 8.789063e-05 0.00080078124 0.00014648438 6.8359375e-05 0.0001171875 0.00018554687 0.0002734375 7.8125e-05 5.859375e-05 0.00015625 6.8359375e-05 0.0004394531 0.00041015624 0.00012695312 3.90625e-05 0.00020507812 8.789063e-05 0.00024414062 0.00012695312 0.0001171875 0.00015625 0.0005175781 0.00020507812 0.0005371094 0.00041992188 0.0011230469 0.00015625 0.00046875 0.000107421874 0.00060546875 0.00013671875 0.00029296876 0.0001953125 0.0022753906 0.00047851563 0.0008496094 0.0005371094 0.0006445313 0.0001171875 0.0006542969 0.0014453125 0.0003125 0.0011914063 5.859375e-05 0.0001171875 0.00022460938 0.0007714844 6.8359375e-05 8.789063e-05 0.0015820313 0.0010351562 0.00034179687 0.00045898437 0.0005371094 8.789063e-05 0.0004394531 0.00029296876 0.0012109375 0.00057617185 0.00028320312 0.00029296876 0.00020507812 0.000107421874 0.0001171875 0.00034179687 0.00091796875 0.00012695312 0.00013671875 7.8125e-05 0.00034179687 0.0005273438 0.0004296875 0.0041308594 0.0047851563 0.00024414062 9.765625e-05 0.0008496094 0.00125 6.8359375e-05 5.859375e-05 0.00013671875 0.0013671875 4.8828126e-05 0.00017578126 0.00030273438 0.0007421875 0.00012695312 0.00041992188 0.0002734375 0.0017089844 0.0071484377 0.00025390624 0.00036132813 0.0012597656 0.00078125 0.0005566406 0.011269531 0.32317808 0.0 0.0 4.932134e-06 9.864268e-06 0.0 9.864268e-06 9.864268e-06 0.0 0.0 0.0 0.0 4.932134e-06 1.4796402e-05 0.0 0.0 0.067387745 9.864268e-06 0.00017755682 0.0003945707 0.00014796402 0.0003945707 0.0015190972 0.0006609059 0.0 9.864268e-06 0.0 0.0 0.0 0.0 0.0 4.932134e-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 0.008867976 8.877841e-05 0.00012330334 2.9592804e-05 0.00015782828 0.00013316762 0.00021701389 8.877841e-05 3.945707e-05 4.4389206e-05 1.4796402e-05 2.9592804e-05 1.9728535e-05 1.4796402e-05 0.00011343908 0.000118371216 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01585681 0.00025153882 0.00023674243 0.00023674243 0.0006115846 0.00027619948 0.0004537563 0.00038470645 0.000517874 6.904987e-05 7.891414e-05 0.000103574814 0.00016769255 9.371054e-05 0.00022687815 0.00063624524 0.25953382 0.005898832 0.008468474 0.0021849354 0.01060902 0.008937026 0.015240294 0.0062539456 0.0026386916 0.0029740767 0.0010061553 0.0019876498 0.0013316761 0.000996291 0.0075363005 0.0078371605 0.024631076 0.00028113162 0.00034031723 0.004014757 0.0012182371 0.0010406802 0.004463581 0.0022786458 0.00022687815 0.00024660668 0.00025647096 0.00027619948 0.00023181029 0.00031072443 0.00023674243 0.0003501815 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.006150371 0.00014796402 0.00021208175 0.00014303188 0.0017755682 0.0013218118 0.0065745343 0.0031121764 5.9185608e-05 0.000118371216 4.9321337e-05 7.398201e-05 5.9185608e-05 7.398201e-05 0.00014796402 0.00018248895 0.0062786066 0.00022194603 0.00027619948 0.0005277383 0.001400726 0.0017903646 0.005933357 0.002653488 0.00022194603 0.000103574814 0.00013809974 0.00014303188 0.00013809974 0.00015782828 9.371054e-05 0.00012330334 0.004794034 0.0003353851 0.00037484217 0.00037484217 0.0004537563 0.00063131313 0.00034524937 0.0003205887 0.0008285985 7.398201e-05 2.9592804e-05 9.8642675e-05 0.0003649779 0.00018742109 0.00028606376 0.00060172036 0.0038076073 0.0003205887 8.877841e-05 0.00039950284 0.0006707702 0.00055733114 0.00023181029 0.00049321336 0.0010998659 5.4253473e-05 7.398201e-05 0.00013316762 0.00043895992 0.00025647096 0.00028606376 0.0011886442 0.008675624 0.00081380206 0.0013020834 0.0014648438 0.0016522649 0.0016078757 0.0032995977 0.0018692787 0.001583215 0.00055733114 0.00054746686 0.0011146623 0.0013366083 0.0014105903 0.00095683394 0.0021109532 0.020192156 0.0043254816 0.0026238952 0.0069888337 0.0052872472 0.009415443 0.0037681502 0.0049913195 0.011467211 0.00082366634 0.0010505446 0.0014796401 0.005814986 0.004463581 0.0044290563 0.013888889 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 572.0 11.902098 6808.0 0.03980611 0.0052878964 0.00029377203 0.0 0.0008813161 0.0032314924 0.00058754405 0.0 0.00058754405 0.00014688601 0.0007344301 0.00058754405 0.0008813161 0.0019095183 0.036280844 0.0022032904 0.0033783785 0.0020564042 0.0041128085 0.0042596944 0.0039659226 0.0024970623 0.0030846063 0.0016157462 0.0032314924 0.0030846063 0.0030846063 0.0023501762 0.0016157462 0.0019095183 0.0024970623 0.0026439482 0.0061692125 0.009694478 0.0008813161 0.008666275 0.008078731 0.007784959 0.0061692125 0.0066098706 0.0039659226 0.0055816686 0.00058754405 0.0017626322 0.0047003524 0.0032314924 0.0023501762 0.0074911867 0.0066098706 0.0016157462 0.012485311 0.024089307 0.010428907 0.0023501762 0.0049941246 0.009547591 0.00014688601 0.00044065804 0.0013219741 0.00044065804 0.0020564042 0.00058754405 0.00058754405 0.0027908343 0.0055816686 0.047591068 0.008078731 0.037015278 0.03760282 0.08783784 0.0051410105 0.012779083 0.018507639 0.04245006 0.0017626322 0.0047003524 0.053907167 0.019976499 0.052585196 0.04788484 0.015716804 0.0007344301 0.06037015 0.026292598 0.069036424 0.014247944 0.0051410105 0.0039659226 0.0092538195 0.0066098706 0.0008813161 0.00029377203 0.00014688601 0.00014688601 0.00029377203 0.00044065804 5.307668 0.0 0.0 0.0 37.0 102400.0 65536.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1376323100.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 10.0 0.0 5.0 1.0 5.0 1.0 13312.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5632.0 0.0 0.0 0.0 0.0 0.0 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 -13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.1180906 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9136121 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.993471 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1212.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5222.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29260.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12854.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 23272.0 0.0 0.0 0.0 0.0 0.0 0.0 776.0 61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 468.0 20480.0 0.0 0.0 0.0 0.0


Input: 0.023304049 0.018313427 0.015736671 0.014954802 0.0138750775 0.013512067 0.012398213 0.012641772 0.011633409 0.011777682 0.01095703 0.011028391 0.010615737 0.010744498 0.009852484 0.010282202 0.009594964 0.009774918 0.009183862 0.009692698 0.008803787 0.008930995 0.008522996 0.008765004 0.008405095 0.008453187 0.007852823 0.008249963 0.0075797886 0.007949005 0.0075642755 0.007770602 0.0075689293 0.007632534 0.007255561 0.007395181 0.0069406414 0.0069592576 0.0066040033 0.0069266795 0.0065528094 0.006890999 0.006532642 0.006711045 0.006106027 0.0064861025 0.0060563846 0.006445768 0.005907457 0.0061835935 0.0058950465 0.0059803696 0.0058593657 0.005831442 0.005586332 0.0056685526 0.00533812 0.00549015 0.0053815567 0.0054948037 0.005376903 0.0054591233 0.005125588 0.0053846594 0.0050169947 0.0051953974 0.0049968273 0.0051566144 0.004937877 0.004942531 0.0047548204 0.0048029115 0.0045996876 0.004809117 0.004536083 0.004546942 0.0043964637 0.0046989727 0.0043483726 0.004534532 0.004303384 0.004559353 0.0042009964 0.004289422 0.004171521 0.0044057714 0.004019491 0.004317346 0.0040877494 0.004092403 0.0037821378 0.0041467 0.0038984872 0.0038705633 0.0037774837 0.0039217575 0.0036906092 0.003830229 0.0036735449 0.00403035 0.003755765 0.0037045714 0.0033756897 0.0036285562 0.003372587 0.0034873853 0.0033555224 0.003622351 0.0033834465 0.0034796288 0.0034020622 0.0033027774 0.0033834465 0.0033167393 0.003164709 0.003447051 0.0030964508 0.003277956 0.003116618 0.0032453781 0.0030002685 0.003146093 0.003008025 0.0030142304 0.0028296222 0.0028932267 0.002724132 0.0030095764 0.0028715082 0.0029335613 0.0029164967 0.0028110063 0.0026263983 0.002832725 0.0026512195 0.0029227019 0.002994063 0.0026077824 0.0025752045 0.0026760409 0.002682246 0.002587615 0.002435585 0.0025426266 0.0025116 0.0024635089 0.0022354636 0.002440239 0.0024076612 0.0024045585 0.0022540796 0.0023719806 0.0021982319 0.0023704292 0.002241669 0.0022525282 0.0022928629 0.0021315247 0.0021004982 0.0021191142 0.0020415476 0.0021454867 0.0019996618 0.0020260343 0.0020244832 0.0020555097 0.0018864148 0.0020167264 0.0019825972 0.0019779431 0.0019205441 0.001830567 0.0018724529 0.0019189927 0.0018724529 0.0018135024 0.0018088485 0.0017188714 0.0017219741 0.0017855786 0.001659921 0.0017390387 0.0015389174 0.0015994192 0.0016009705 0.001650613 0.0015761493 0.0016304457 0.0015854572 0.0015047882 0.0014194652 0.0015296094 0.0015094421 0.0014458377 0.0014535943 0.0014334271 0.0015296094 0.001371374 0.0013651686 0.0014365298 0.0014008492 0.0013853359 0.0012565757 0.001272089 0.0012177925 0.001253473 0.0012705376 0.0012441651 0.0012317544 0.0012100359 0.0011945226 0.0012177925 0.0011929712 0.0011107508 0.0010843783 0.0011728039 0.0011386748 0.0018460803 0.0010037093 0.001092135 0.0011154049 0.0010440438 0.0010626597 0.0010130171 0.0010099146 0.0009680287 0.0009819906 0.0009587207 0.0008547817 0.0009463101 0.0009370021 0.00086719234 0.0008501278 0.0008873596 0.0008687437 0.00079117727 0.00080513925 0.000766356 0.00074929144 0.0007927286 0.00077101 0.0007322268 0.0007136109 0.00072291883 0.00075549673 0.00072136754 0.0006546604 0.0007105082 0.00065155776 0.0006313905 0.00065000646 0.0006577631 0.0006019153 0.0005538241 0.0005926073 0.0007136109 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010737523 1.3217805e-05 3.5765825e-05 2.254802e-05 2.5658092e-05 3.654334e-05 5.598129e-05 4.1985968e-05 7.308668e-05 5.1316183e-05 5.3648735e-05 4.0430932e-05 3.8875896e-05 1.7105394e-05 6.9976613e-06 5.4426255e-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 0.0016506705 5.287122e-05 7.308668e-05 4.120845e-05 3.9653412e-05 6.297895e-05 6.919909e-05 0.0001430633 0.00037787372 6.764406e-05 6.608902e-05 5.8313843e-05 6.764406e-05 0.00021381743 5.9091362e-05 0.00014150827 0.00058935856 3.1878233e-05 3.8875896e-05 1.7105394e-05 2.7213127e-05 2.7213127e-05 2.643561e-05 3.1878233e-05 0.00018193919 1.4772841e-05 1.5550359e-05 2.5658092e-05 3.1100717e-05 0.00040119924 5.9091362e-05 7.308668e-05 0.0028527132 0.00029545682 0.00028379404 0.000238698 0.00025891347 0.00022081508 0.00024802823 0.00027057625 0.000238698 0.00018271671 0.00018349422 0.00017183146 0.00018038416 0.0003522156 0.00017338649 0.00021770502 0.19642435 0.12822437 0.10009843 0.08145899 0.06758886 0.05693375 0.048329737 0.040651746 0.034412943 0.028159367 0.02259778 0.017524477 0.013094957 0.009294449 0.0053376607 0.001778961 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008456285 0.0085456995 0.008607901 0.008231582 0.008385531 0.008611788 0.008387086 0.008568248 0.008428294 0.00835443 0.008492828 0.008287563 0.008467948 0.008474945 0.008412744 0.008637447 6682.0 5.899132 39418.0 0.017149525 0.01616013 0.01669288 0.016566036 0.015931807 0.0149677815 0.015703486 0.016540667 0.0142067075 0.014815566 0.015145365 0.014815566 0.013927647 0.015246841 0.014308184 0.013750063 0.012963621 0.013953016 0.013876909 0.013318788 0.0141306 0.013750063 0.012963621 0.012963621 0.0116190575 0.012456238 0.012278655 0.012557715 0.012506977 0.012963621 0.011948856 0.011948856 0.011111675 0.012329393 0.011213152 0.011390735 0.011644427 0.01123852 0.01037597 0.011060936 0.00981785 0.010071541 0.009285098 0.009158253 0.010020803 0.0095641585 0.009538789 0.009462682 0.0099954335 0.010350601 0.009259729 0.009767111 0.009361206 0.009716373 0.009970064 0.0099954335 0.008980669 0.008726978 0.007965904 0.0082703335 0.008549394 0.0078390585 0.008118119 0.0083718095 0.008168857 0.0088030845 0.008016642 0.009335836 0.0087016085 0.008168857 0.00720483 0.007889797 0.0076107364 0.0072301994 0.0074585215 0.007965904 0.0073824143 0.008244964 0.007407783 0.006748186 0.0079405345 0.0070272465 0.0075092595 0.007762951 0.0066213403 0.0070779845 0.007965904 0.0067989244 0.006773555 0.006773555 0.0062915417 0.0065706023 0.0060632196 0.0061393273 0.005099193 0.0065959715 6.524205 0.0 0.0 0.0 9.0 644609.0 106496.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1049483800.0 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 5.0 50.0 4.0 0.0 4.0 0.0 88576.0 1024.0 65536.0 3.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -88576.0 -512.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.994409 -1.0182562 4.690292 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -90112.0 -4096.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 94208.0 5120.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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: 0.010671821 0.0041262293 0.00405498 0.00393998 0.004141854 0.0039018556 0.0039137304 0.003796231 0.0040174797 0.0038537306 0.0038837306 0.003833731 0.00393623 0.003819356 0.003804356 0.00402623 0.0038818556 0.0038262308 0.0038862305 0.0036968566 0.0038718556 0.0039062304 0.0037493561 0.0037049814 0.0037393563 0.0037618561 0.0037618561 0.0037162313 0.0037406064 0.003811856 0.003798731 0.0036931066 0.004603102 0.0037356063 0.004061855 0.0037156064 0.0038331058 0.0037243564 0.003811856 0.003831856 0.003778106 0.0037256065 0.003798106 0.003814356 0.003831856 0.0038687307 0.0046931016 0.0038493557 0.003988105 0.0038381058 0.0038449808 0.003976855 0.003961855 0.0039231055 0.003804981 0.0038368558 0.0038368558 0.00398248 0.0038387307 0.0038449808 0.0038718556 0.0038712306 0.003803106 0.003809981 0.0043524783 0.00400623 0.004119979 0.00403748 0.0039131055 0.0041462295 0.004119979 0.0041149794 0.0038112309 0.003929355 0.003794356 0.0038981056 0.0038518556 0.00397373 0.0039593554 0.0039781053 0.0040424797 0.00391873 0.0046443515 0.0041243546 0.0039268555 0.0039374805 0.004000605 0.00400373 0.0038818556 0.00399248 0.0038024809 0.003796231 0.0037843562 0.003767481 0.0038512307 0.003808731 0.0037687311 0.00401873 0.0038487308 0.0038887307 0.0038837306 0.0042437287 0.00396123 0.0038149809 0.0039887303 0.003990605 0.004008105 0.003797481 0.00396998 0.003835606 0.0039462303 0.0040787295 0.0038906056 0.003797481 0.00405123 0.0040524798 0.0043368535 0.004228104 0.0038487308 0.003804981 0.003772481 0.003808106 0.003789356 0.0038481057 0.003776856 0.003973105 0.0037812311 0.0037599811 0.0039212303 0.0039593554 0.0038943556 0.0040718545 0.003811856 0.0038962306 0.0037593562 0.0038449808 0.0037774811 0.0039631054 0.0037424813 0.004182479 0.0037737312 0.00399623 0.0046074768 0.003794356 0.0039199805 0.0037587313 0.003811856 0.0038837306 0.0038924806 0.0038112309 0.003788731 0.003811856 0.0037562312 0.0037556062 0.0036937315 0.0037481063 0.003791231 0.0037493561 0.003783106 0.0038362308 0.0037499813 0.0038412309 0.003808731 0.0037481063 0.0038606056 0.0037668562 0.0037518563 0.0038562308 0.0037181063 0.0037056066 0.003794981 0.0039043555 0.0038187308 0.0037499813 0.0037043565 0.0037212314 0.0037881061 0.0037362312 0.0037293565 0.0037412313 0.003798106 0.0037206064 0.0037006065 0.0037812311 0.003826856 0.003801856 0.003769356 0.0037899811 0.003808731 0.003783106 0.0037599811 0.0037012314 0.0039381054 0.0038874806 0.003803106 0.0037899811 0.0037881061 0.003804356 0.003831856 0.003839356 0.003813731 0.0037562312 0.0037587313 0.0037212314 0.0037587313 0.003776856 0.0037681062 0.003794981 0.0037774811 0.0037387314 0.0038487308 0.0037374813 0.0038324809 0.0038568557 0.003804981 0.003804356 0.0038149809 0.0036862316 0.0037349814 0.0037574812 0.0038612308 0.0037231063 0.0037224814 0.0037318564 0.0038781057 0.003831856 0.003816231 0.0037156064 0.0038206058 0.0037568563 0.0037899811 0.003814356 0.004069355 0.0039199805 0.0037812311 0.0038531057 0.0039049804 0.0037899811 0.0036924814 0.00395748 0.0038412309 0.003786856 0.003793731 0.0036987315 0.0038412309 0.0038856056 0.0036818567 0.0038668558 0.0038906056 0.0037468562 0.0038293558 0.0038368558 0.0038762307 0.0037512314 0.0043162284 0.007340588 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.00024335862 0.00012261771 0.00026431624 0.0003293787 0.00037191954 0.00024805064 0.00027807945 8.2892075e-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 0.0006822174 0.0012881116 0.0011423466 0.0006434302 0.0007954511 0.0013381597 0.00025806023 0.00036566352 0.00022959542 0.0005846237 0.0003187435 0.00060151494 0.0013619325 0.060531236 0.059381068 0.059607536 0.060145553 0.06018528 0.059661336 0.05967698 0.059927218 0.059705757 0.060012612 0.05979897 0.05971295 0.059754238 0.059760183 0.060055777 0.059802722 7580.0 6.9862795 52956.0 0.032442026 0.008384319 0.012633129 0.0074590226 0.008592038 0.007949996 0.0077422764 0.007987764 0.007723393 0.008289901 0.0084409695 0.008478737 0.009045245 0.008478737 0.009422917 0.0092529645 0.010971372 0.0101027265 0.0101027265 0.009838357 0.009649521 0.009347383 0.009139664 0.008629806 0.00870534 0.009498452 0.007912229 0.0083276685 0.0083276685 0.0092151975 0.008271017 0.008119948 0.008610922 0.012330992 0.011386812 0.012840849 0.010253795 0.011349045 0.01620213 0.015899992 0.008743107 0.011122441 0.009139664 0.009158547 0.009913891 0.009725055 0.0126142455 0.011141324 0.009592869 0.012028854 0.009687288 0.011028023 0.009517335 0.009479568 0.0109147215 0.012104388 0.008969711 0.014143817 0.009347383 0.00823325 0.008044414 0.0084409695 0.0077422764 0.0073646046 0.007685626 0.013898331 0.010197145 0.012330992 0.012538712 0.019978851 0.009536219 0.011046907 0.010140494 0.014729209 0.0092907315 0.00891306 0.013539542 0.010895838 0.014219352 0.014332654 0.0109147215 0.008195483 0.014483722 0.014011633 0.016485384 0.0101027265 0.009536219 0.010612584 0.008856409 0.0101027265 0.008592038 0.007855578 0.0074590226 0.008384319 0.0077422764 0.007836695 6.5279026 0.0 11.0 0.0 23.0 1600008.0 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 3984.0 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: 0.22578081 0.015879849 0.008943257 0.010639392 0.010322437 0.0049342103 0.0036149945 0.0027476528 0.009318034 0.0029703777 0.0030174924 0.0014348616 0.0081101805 0.0053261206 0.0022679379 0.009410122 0.007743969 0.0038677014 0.0011093407 0.0009401556 0.0057929857 0.0047992906 0.0012442606 0.000912315 0.004705061 0.0011778715 0.00082022685 0.0007152892 0.0038184451 0.0013149328 0.0009787041 0.0007388466 0.0058914986 0.000798811 0.00055895356 0.0007388466 0.023431076 0.0019081518 0.0005932189 0.0018310547 0.0032787658 0.0012849506 0.00072599715 0.0020216557 0.002664131 0.0012892338 0.00074098824 0.0006489001 0.003004643 0.00079024467 0.00084378425 0.0042853104 0.002818325 0.0009273061 0.0006467585 0.00055467035 0.004075435 0.002509937 0.0010429516 0.004707203 0.0077311196 0.001968116 0.0009315892 0.0010365269 0.0053111296 0.0037199322 0.0029296875 0.0021415844 0.010296738 0.0043581245 0.018700315 0.0052190414 0.0051505105 0.0015226665 0.0009101734 0.00069173175 0.0056452164 0.0019060101 0.0019210012 0.0013513397 0.006739566 0.003792746 0.0043731155 0.0029553864 0.0061763297 0.0023064865 0.003910533 0.002850449 0.0025570518 0.0017925062 0.00054396247 0.0037841797 0.0020237972 0.0037049411 0.0039533647 0.0035571717 0.0011350397 0.0013984547 0.0006638912 0.00095942983 0.002814042 0.0031823944 0.0017496744 0.00050113077 0.005266156 0.0040133293 0.0049749007 0.0006189179 0.0024264152 0.00066174957 0.0015312328 0.0016211794 0.001989532 0.0005782278 0.0019145765 0.0013534813 0.008977522 0.006566098 0.00084806746 0.0009765625 0.002015231 0.0007431298 0.00066174957 0.0005568119 0.0033558628 0.0018931606 0.001634029 0.0011778715 0.0049427766 0.0045722825 0.00083521794 0.014053077 0.006724575 0.007669014 0.0034650837 0.0020109478 0.004227488 0.018711023 0.0021694251 0.036584686 0.0036042866 0.012168483 0.0019959568 0.0014370031 0.0025227864 0.0012892338 0.00042831688 0.0018524706 0.0026512814 0.0010772169 0.0016511616 0.00094443874 0.0011585972 0.00147341 0.00048828125 0.00051612186 0.0041568154 0.00043045846 0.0010365269 0.0011328981 0.001293517 0.003839861 0.0005225466 0.00086305855 0.0013234991 0.00072171394 0.002587034 0.00026983963 0.0010579427 0.00044759116 0.00040475946 0.00055252877 0.0018010725 0.0005353961 0.0005225466 0.00058893574 0.0012870922 0.00037906045 0.0003983347 0.00041760897 0.001025819 0.00053111295 0.0007002981 0.00080737734 0.0027583607 0.005231891 0.0010301021 0.0061591966 0.0014391447 0.00084378425 0.0010879249 0.0013406319 0.0067674066 0.0030688904 0.0043152925 0.005576686 0.0045958403 0.0011050575 0.0023171944 0.0057287384 0.0023022033 0.002587034 0.0008223684 0.00081380206 0.012266995 0.0007795367 0.0014027378 0.0007388466 0.0017025596 0.0008823328 0.0019017269 0.00092944765 0.0009701378 0.00062748423 0.0007324219 0.0018439041 0.0054610404 0.0029810856 0.0009037486 0.0024606804 0.0007452714 0.0011114823 0.0008844744 0.0010879249 0.0022079735 0.0009251645 0.00047329016 0.00033408718 0.0010558012 0.00028697232 0.00042403373 0.00037691885 0.011995015 0.0033151726 0.0026320072 0.004015471 0.0015633566 0.00069815654 0.00040904264 0.00046044064 0.002550627 0.0009551467 0.00056966144 0.0010729338 0.00089946546 0.0006317674 0.0027455112 0.0017668072 0.0037713302 0.0023364685 0.0015954804 0.0011907209 0.002246522 0.0012892338 0.0038634182 0.022942794 0.046092678 0.0 0.0 2.1462913e-06 6.4388737e-06 5.365728e-06 3.3267515e-05 1.3950893e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0020239525 2.3609204e-05 1.717033e-05 6.4388737e-06 6.7608176e-05 5.365728e-06 5.365728e-06 3.2194368e-06 1.0731457e-06 4.2925826e-06 4.2925826e-06 5.365728e-06 6.4388737e-06 1.0731456e-05 6.4388737e-06 6.4388737e-06 0.00581323 7.619334e-05 7.404705e-05 4.2925825e-05 9.87294e-05 6.0096154e-05 0.00018028847 6.7608176e-05 1.3950893e-05 1.717033e-05 1.50240385e-05 2.8974931e-05 3.8633243e-05 1.50240385e-05 1.3950893e-05 3.7560098e-05 0.0018672734 1.8243476e-05 2.1462913e-05 1.0731456e-05 0.00014380152 6.4388737e-06 5.365728e-06 6.4388737e-06 2.5755495e-05 4.2925826e-06 8.585165e-06 1.1804602e-05 2.8974931e-05 4.2925826e-06 7.5120192e-06 2.682864e-05 0.0051328554 5.0437844e-05 0.00014487466 2.468235e-05 0.00040886848 0.00010194883 0.00018028847 0.0001835079 0.00017277645 1.0731456e-05 1.3950893e-05 2.1462913e-05 3.970639e-05 1.717033e-05 1.6097185e-05 7.404705e-05 0.0016279619 6.11693e-05 3.1121224e-05 9.4436815e-05 0.000113753435 2.2536058e-05 1.2877747e-05 2.8974931e-05 2.5755495e-05 2.682864e-05 3.7560098e-05 2.0389767e-05 2.1462913e-05 1.9316622e-05 8.585165e-06 4.5072116e-05 0.005725232 5.580357e-05 0.00017277645 0.00018028847 0.0004657452 0.00028331045 0.000722227 0.00053013396 0.0002189217 4.5072116e-05 6.975447e-05 5.4730426e-05 7.619334e-05 5.2584135e-05 5.4730426e-05 8.370536e-05 0.0071385647 0.00020389767 0.0003337483 0.0001598987 0.000449648 0.0002961882 0.00058271806 0.00044750172 0.00033052886 6.7608176e-05 3.219437e-05 5.2584135e-05 0.00036272322 7.7266486e-05 0.00010946085 0.00034447975 0.002866372 0.00010731456 0.0030112467 0.0005387191 0.0018189818 0.0024478452 0.002845982 0.0012427026 0.00018672734 7.5120192e-06 1.8243476e-05 2.8974931e-05 9.2290524e-05 1.717033e-05 4.2925825e-05 0.00011160714 0.00451365 0.00016848386 0.001260946 0.0007533482 0.002100146 0.0014476734 0.0023705787 0.0013618218 0.0002564818 8.048592e-05 6.7608176e-05 0.00023501889 0.000390625 9.4436815e-05 7.833963e-05 0.00020497081 0.012429172 0.0017095209 0.0032194369 0.0011686556 0.0024864783 0.0021441448 0.0020904876 0.0017610319 0.003862251 0.0004968664 0.00032730942 0.00072115386 0.0036197202 0.00027794472 0.00030262707 0.0007458362 0.03302069 0.0034544556 0.004786229 0.0034362122 0.006781207 0.003478065 0.002218192 0.0025744764 0.013175009 0.0026549622 0.001326408 0.0028406165 0.005800352 0.003729181 0.0025819882 0.0048452523 0.13020475 0.021367403 0.023132727 0.019326279 0.035744336 0.025149167 0.010730383 0.014088255 0.07204885 0.010399854 0.007060225 0.013825335 0.02680503 0.011401099 0.015070184 0.022986779 0.062574044 0.012079327 0.010601605 0.0107024815 0.019736221 0.018088942 0.009919085 0.011572802 0.03377726 0.0076472354 0.006994763 0.0062725362 0.016687414 0.008152687 0.011536315 0.019591346 0.002454284 0.0013575292 0.0016848386 0.0015045501 0.0014863067 0.0015871824 0.0016225962 0.001415479 0.001348944 0.0013918699 0.001392943 0.0013661144 0.0013210422 0.0014058207 0.0014068938 0.00142943 1137.0 16.116974 18325.0 0.056589358 0.0032196452 0.00043656208 0.0011459754 0.024665758 0.030341065 0.0011459754 0.00043656208 0.018062755 0.015879946 0.00038199182 0.00087312417 0.011623465 0.013969987 0.0066575715 0.0013642565 0.010750341 0.0024556618 0.003165075 0.0019645293 0.0021282402 0.0020190997 0.0017462483 0.001255116 0.0020190997 0.0040381993 0.0073124147 0.004092769 0.0045293313 0.0020190997 0.005893588 0.0005457026 0.0019645293 0.016534789 0.0023465212 0.012824011 0.016425649 0.020245567 0.007748977 0.011841746 0.005075034 0.011023193 0.0009822646 0.0018008186 0.0130968625 0.013806276 0.012332879 0.0140791265 0.018608458 0.01053206 0.02335607 0.022210095 0.019645294 0.01069577 0.010313779 0.009276944 0.0019099591 0.0046930425 0.0024010914 0.03181446 0.0032196452 0.032251023 0.0045293313 0.015334243 0.0012005457 0.020190995 0.006821282 0.012332879 0.03356071 0.036834925 0.0043110503 0.0036562074 0.009222373 0.022482947 0.007967258 0.0019645293 0.027994543 0.00627558 0.019972716 0.02537517 0.011459755 0.00043656208 0.025920874 0.020463847 0.036562074 0.012824011 0.0028922237 0.0073124147 0.0072578443 0.0033287858 0.0007094134 0.00038199182 0.0014188268 0.00076398364 0.0016916781 0.00076398364 5.910225 0.0 0.0 0.0 5.0 466944.0 6754304.0 0.0 0.0 112.0 0.0 1.0 0.0 0.0 0.0 1261562800.0 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 7.0 10.0 4.0 0.0 4.0 0.0 409600.0 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 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -389120.0 0.0 4096.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.643173 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.59236 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5817447 0.0 3.5575252 0.0 0.0 6.037833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 17476.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6315444.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -387882.0 0.0 1680.0 0.0 0.0 20480.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -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 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 100.0 408372.0 1680.0 6729728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 464.0 393216.0 0.0 0.0 0.0 0.0


Input: 0.006846976 0.004052144 0.003931891 0.003933991 0.004017118 0.0039285505 0.0039224424 0.0038632704 0.004065315 0.003887989 0.0038957198 0.0038680425 0.003983428 0.0038965787 0.0038768228 0.0038961968 0.0039118486 0.0038831218 0.0038434193 0.0038261446 0.003912517 0.003870142 0.0038484775 0.0038789224 0.0038965787 0.0039003962 0.0038386472 0.003875582 0.0038878936 0.0038737687 0.0038656564 0.0038540128 0.0039530783 0.0038293896 0.0038934292 0.0038317756 0.003957182 0.0039144256 0.0038658474 0.0038721464 0.0038622206 0.003871001 0.003887512 0.0038777771 0.0038603118 0.0038243313 0.0038763455 0.0038656564 0.0039020185 0.003867947 0.003867088 0.0039363764 0.0038852214 0.003851436 0.0038166963 0.0038543947 0.003881881 0.003871001 0.003855826 0.003931414 0.003884267 0.0038683286 0.003833589 0.0038641293 0.0039328453 0.0040785805 0.003915094 0.003901446 0.0039062179 0.004009674 0.003964436 0.003892284 0.0039317003 0.00390994 0.0038597393 0.0038402698 0.0038604073 0.0039832373 0.0038908522 0.0038270992 0.00398171 0.0039170026 0.0038877982 0.0038506724 0.003846664 0.0038969603 0.0039470657 0.003912994 0.0039013505 0.0039379993 0.0038698558 0.0038744367 0.0038609798 0.0039034502 0.0039552734 0.0038800677 0.0038346387 0.0038978192 0.0038636522 0.0038791134 0.0039146165 0.003921393 0.0038800677 0.0038889435 0.0038715736 0.003871001 0.0038991554 0.0038361659 0.0038895162 0.0038815946 0.0038981056 0.0038866529 0.0038738642 0.0038494319 0.0039287414 0.0038579258 0.0040115826 0.004033056 0.0039112763 0.003895815 0.003879495 0.0038550626 0.0038982965 0.0038435145 0.0039011596 0.003917289 0.0039311275 0.0038866529 0.0039214883 0.003933418 0.0038190822 0.0040225578 0.0038802586 0.003952315 0.00388818 0.003823186 0.0038756775 0.004038592 0.0039265463 0.0043521086 0.0038283397 0.0040635965 0.0038650837 0.003879495 0.0038869393 0.0038793043 0.0038482866 0.0038484775 0.0038862713 0.0038613616 0.0038474277 0.0038650837 0.0038773953 0.0038289125 0.0038274808 0.003892761 0.0038773 0.003858403 0.0038626979 0.0038869393 0.0038754866 0.0038730053 0.003872719 0.003849718 0.0038682332 0.003874914 0.0038567807 0.0038665154 0.0038663244 0.0038628888 0.0038650837 0.0038195595 0.003858594 0.0038583076 0.0038855078 0.0038829308 0.0038665154 0.00388169 0.0038415103 0.0038247132 0.0038672788 0.0039139483 0.0038399834 0.0038475231 0.0039234925 0.0038627933 0.0038611707 0.0038550626 0.0038769182 0.0038334935 0.003876441 0.0038763455 0.003924542 0.0039112763 0.003932368 0.003905359 0.0038863667 0.003862125 0.0039411485 0.0038979147 0.003934372 0.0038967696 0.003890566 0.0038762502 0.0039344677 0.003864893 0.0038978192 0.0038525814 0.0039126123 0.0038824535 0.0038462824 0.0038863667 0.0038537267 0.0038835988 0.0038771091 0.0038792088 0.0039108945 0.003877968 0.0039076493 0.0038841716 0.003909463 0.0038860803 0.0038447552 0.0038591665 0.0039283596 0.0038734823 0.003868615 0.0038567807 0.0039214883 0.0038580212 0.003861839 0.0038188915 0.004094996 0.0039843824 0.0038521995 0.0039382856 0.0039254013 0.003852486 0.003852295 0.003875773 0.0039340863 0.0038798768 0.0038415103 0.003908604 0.0038752956 0.0038394106 0.0038765364 0.0038908522 0.0038870347 0.0038722416 0.0039009687 0.0038389335 0.0039661536 0.0038775862 0.0038937153 0.004689103 0.00058645295 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00018589145 1.2408672e-06 5.249823e-07 3.818053e-07 1.7658494e-06 5.7270796e-07 6.6815926e-07 4.2953096e-07 5.249823e-07 4.772566e-07 7.636106e-07 1.4317699e-07 6.6815926e-07 4.7725663e-08 9.545133e-08 1.2885929e-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 8.285175e-05 2.9112655e-06 2.0522034e-06 2.8635398e-07 1.6226725e-06 5.249823e-07 3.818053e-07 4.772566e-07 1.9090264e-06 4.772566e-07 1.6703982e-06 1.9090265e-07 7.1588494e-07 5.249823e-07 3.3407963e-07 8.1133624e-07 7.707695e-05 2.3385574e-06 2.6249115e-06 6.204336e-07 3.96123e-06 7.1588494e-07 2.8635398e-07 1.0499646e-06 1.7181238e-06 3.818053e-07 3.2930707e-06 3.3407963e-07 1.9090265e-07 6.6815926e-07 7.636106e-07 1.7181238e-06 0.00014456103 1.6703982e-06 4.486212e-06 2.8635397e-06 9.163327e-06 2.4817343e-06 1.2599575e-05 7.1588493e-06 1.1454159e-06 6.204336e-07 2.958991e-06 8.1133624e-07 6.204336e-07 3.3407963e-07 7.1588494e-07 3.2930707e-06 0.00045816635 1.4604053e-05 1.3888168e-05 3.1498937e-06 4.9443785e-05 3.0067167e-06 2.9112655e-06 9.592858e-06 2.5724132e-05 1.5606292e-05 3.1498937e-06 1.0547371e-05 8.686071e-06 3.3407964e-06 3.674876e-06 5.8702564e-05 0.00024554852 5.1543716e-06 6.395239e-06 1.0881451e-05 1.9853875e-05 3.0067167e-06 1.0976903e-05 1.3172283e-05 1.9901601e-05 6.920221e-06 1.4794955e-06 4.3430355e-06 4.1521325e-06 4.247584e-06 3.102168e-06 3.1833017e-05 0.00012494579 2.8635397e-06 9.211053e-06 3.0067167e-06 2.6105938e-05 9.02015e-06 6.4859174e-05 3.818053e-05 4.772566e-07 1.7181238e-06 1.3840443e-06 1.9090264e-06 1.2408672e-06 3.3407963e-07 8.1133624e-07 7.1588493e-06 2.1190193e-05 4.772566e-07 5.7270796e-07 1.002239e-06 1.1310982e-05 5.822531e-06 3.3980672e-05 1.6369902e-05 5.249823e-07 4.772566e-07 3.818053e-07 5.249823e-07 6.204336e-07 3.7703273e-06 3.818053e-07 3.3407963e-07 0.00012637755 3.7703273e-06 1.1024628e-05 6.061159e-06 1.9901601e-05 1.0404195e-05 3.894414e-05 2.0999292e-05 7.492929e-06 4.6771147e-06 2.7680885e-06 2.52946e-06 3.6271504e-06 8.256539e-06 7.349752e-06 1.904254e-05 0.00014269973 6.920221e-06 2.4721892e-05 1.43176985e-05 4.7057503e-05 7.779283e-06 2.5294601e-05 1.7897124e-05 1.4079071e-05 6.8247696e-06 5.536177e-06 8.542894e-06 1.0881451e-05 1.5797194e-05 1.947207e-05 2.3146946e-05 0.0011208372 0.00018197796 0.00016455808 0.00016341267 0.00046890462 0.0003734533 0.000121366356 0.00027723837 0.00079573 5.7795776e-05 6.662503e-05 0.000109005414 0.00035116542 9.134692e-05 0.00035025863 0.0006821429 0.0007788828 0.00015816285 0.00012499352 0.00013568405 0.0003303093 0.0003000035 9.9746634e-05 0.00023643293 0.0005474611 5.369137e-05 6.9870366e-05 6.9631744e-05 0.00027704748 8.538121e-05 0.00025227785 0.0004878517 0.06173639 0.061587725 0.061678354 0.06163287 0.06171682 0.061709568 0.06170303 0.061837375 0.06165626 0.061688233 0.06168012 0.061643135 0.06175166 0.061889447 0.0617257 0.06165683 48346.0 5.636102 272483.0 0.0108190235 0.010191461 0.010400649 0.010147422 0.010521757 0.010452028 0.0105914865 0.010110723 0.010385969 0.010363949 0.009960255 0.0102355005 0.010341929 0.010169442 0.010231831 0.010727275 0.010518087 0.010400649 0.010066683 0.010400649 0.010415329 0.0105621265 0.010242841 0.010099713 0.010396979 0.010624516 0.010004294 0.010441018 0.010639196 0.010360279 0.010099713 0.009941905 0.010363949 0.010844713 0.01034927 0.0104923975 0.010653876 0.010573137 0.0103456 0.0104336785 0.0105327675 0.010261191 0.010231831 0.010385969 0.010422668 0.010099713 0.010448358 0.010140082 0.010800674 0.010411658 0.010466708 0.01032725 0.010382299 0.010066683 0.01031624 0.010382299 0.01030156 0.010033653 0.01029422 0.009908875 0.010099713 0.010540107 0.011002521 0.010525427 0.010250181 0.010822694 0.01031624 0.010580476 0.0106612155 0.011861291 0.010191461 0.010411658 0.010477718 0.010521757 0.01029422 0.010118063 0.010752965 0.010675895 0.010683236 0.010855723 0.01033092 0.010088703 0.011031881 0.010411658 0.0110869305 0.010598826 0.01033826 0.010257521 0.010525427 0.010404319 0.010077693 0.0100079635 0.010624516 0.010470378 0.010411658 0.010554787 6.5844274 0.0 0.0 0.0 173.0 10477910.0 155648.0 0.0 0.0 122.0 0.0 1.0 0.0 0.0 0.0 1230931100.0 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 99328.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -99328.0 0.0 3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.471848 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.306632 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6130643 0.0 3.7074113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16786.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -99058.0 0.0 2656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 0.0 0.0 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 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 120520.0 2656.0 151552.0 0.0 0.0 7264.0 145753950.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 508.0 106496.0 0.0 0.0 0.0 0.0


Input: 0.5853795 0.015066965 0.005859375 0.0016741072 0.00390625 0.0008370536 0.0016741072 0.00055803574 0.0025111607 0.002232143 0.002232143 0.0016741072 0.0013950893 0.0008370536 0.002232143 0.00055803574 0.0027901786 0.0 0.00027901787 0.0008370536 0.0011160715 0.00027901787 0.00027901787 0.00055803574 0.0011160715 0.00027901787 0.00027901787 0.00055803574 0.0 0.0 0.00055803574 0.0011160715 0.01032366 0.0013950893 0.00055803574 0.0025111607 0.001953125 0.0025111607 0.0008370536 0.00055803574 0.0011160715 0.00055803574 0.00027901787 0.00055803574 0.0013950893 0.00027901787 0.01702009 0.0 0.0066964286 0.0027901786 0.0025111607 0.0013950893 0.0041852677 0.0013950893 0.00055803574 0.00055803574 0.0013950893 0.0008370536 0.00027901787 0.00027901787 0.0008370536 0.0011160715 0.0008370536 0.00027901787 0.0030691964 0.001953125 0.001953125 0.0030691964 0.0050223214 0.0027901786 0.001953125 0.00055803574 0.0011160715 0.0025111607 0.0011160715 0.0013950893 0.0016741072 0.002232143 0.0016741072 0.0013950893 0.0047433036 0.00055803574 0.003627232 0.0050223214 0.0025111607 0.0008370536 0.0033482143 0.00055803574 0.00055803574 0.00055803574 0.0008370536 0.00055803574 0.0011160715 0.00027901787 0.00055803574 0.0016741072 0.0008370536 0.005859375 0.0033482143 0.007254464 0.005859375 0.02483259 0.00390625 0.0027901786 0.001953125 0.010602678 0.00027901787 0.0013950893 0.010881697 0.004464286 0.010602678 0.013671875 0.0050223214 0.0 0.017578125 0.015066965 0.00920759 0.0061383927 0.003627232 0.0008370536 0.0025111607 0.0027901786 0.0011160715 0.00027901787 0.00055803574 0.0 0.0008370536 0.00027901787 0.0025111607 0.0011160715 0.00027901787 0.00027901787 0.00027901787 0.00027901787 0.00027901787 0.0008370536 0.00027901787 0.0011160715 0.0 0.0 0.00027901787 0.00055803574 0.0011160715 0.0 0.00055803574 0.00055803574 0.00055803574 0.0 0.00055803574 0.0008370536 0.0 0.00055803574 0.00055803574 0.00055803574 0.0 0.00027901787 0.0008370536 0.0008370536 0.00027901787 0.0008370536 0.0008370536 0.00027901787 0.00027901787 0.00027901787 0.00027901787 0.0 0.0 0.00055803574 0.00055803574 0.0008370536 0.00055803574 0.0 0.00055803574 0.0011160715 0.0 0.0 0.0008370536 0.00055803574 0.00027901787 0.00027901787 0.00055803574 0.0 0.00027901787 0.00027901787 0.0008370536 0.00027901787 0.00027901787 0.00027901787 0.00027901787 0.00027901787 0.0008370536 0.0 0.0008370536 0.0 0.0011160715 0.0013950893 0.0011160715 0.0008370536 0.00055803574 0.0 0.00055803574 0.00027901787 0.00055803574 0.00027901787 0.00055803574 0.0011160715 0.00027901787 0.0011160715 0.0008370536 0.00027901787 0.00027901787 0.00027901787 0.00055803574 0.0 0.00027901787 0.00027901787 0.0 0.0 0.00027901787 0.0008370536 0.0008370536 0.00055803574 0.00027901787 0.00027901787 0.0011160715 0.00027901787 0.00055803574 0.0 0.00055803574 0.0008370536 0.0 0.0 0.00027901787 0.0008370536 0.00055803574 0.0 0.00027901787 0.00027901787 0.00055803574 0.00055803574 0.0 0.00027901787 0.0008370536 0.00055803574 0.0 0.00027901787 0.0 0.00055803574 0.00027901787 0.00027901787 0.00055803574 0.00027901787 0.00027901787 0.00055803574 0.00027901787 0.0008370536 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.28979492 0.004638672 0.022460938 0.015380859 0.019042969 0.014160156 0.06591797 0.040771484 0.005126953 0.0034179688 0.0024414062 0.0024414062 0.005126953 0.0026855469 0.0034179688 0.0031738281 0.2512207 0.008056641 0.029052734 0.014160156 0.020751953 0.01928711 0.06665039 0.041992188 0.0075683594 0.006591797 0.0053710938 0.0048828125 0.009277344 0.005126953 0.005126953 0.0048828125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 18.464285 517.0 0.034816246 0.001934236 0.001934236 0.007736944 0.0 0.0 0.0 0.0 0.0 0.001934236 0.0 0.0 0.007736944 0.001934236 0.065764025 0.0 0.013539651 0.007736944 0.003868472 0.0058027077 0.00967118 0.0058027077 0.001934236 0.003868472 0.001934236 0.0058027077 0.0 0.0 0.001934236 0.0058027077 0.001934236 0.0 0.001934236 0.007736944 0.001934236 0.00967118 0.01934236 0.007736944 0.0 0.001934236 0.0 0.001934236 0.0 0.003868472 0.001934236 0.003868472 0.0 0.001934236 0.015473888 0.001934236 0.015473888 0.013539651 0.0058027077 0.003868472 0.001934236 0.0 0.0 0.0 0.001934236 0.001934236 0.0 0.0 0.0 0.001934236 0.001934236 0.021276595 0.01934236 0.034816246 0.017408123 0.102514505 0.0116054155 0.003868472 0.001934236 0.034816246 0.0 0.00967118 0.04255319 0.021276595 0.032882012 0.058027077 0.013539651 0.0 0.06963249 0.065764025 0.036750484 0.032882012 0.015473888 0.003868472 0.00967118 0.0116054155 0.0058027077 0.0 0.0 0.0 0.0 0.0 5.1690755 0.0 0.0 0.0 1.0 3584.0 32768.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1418197200.0 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 1536.0 512.0 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 -1536.0 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 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.599037 0.0 3.1664703 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 -1428.0 0.0 832.0 0.0 0.0 0.0 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 9524.0 832.0 16384.0 0.0 0.0 0.0 0.0 12.0 24576.0 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