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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
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Task/Knapsack-problem-Unbounded/Perl/knapsack-problem-unbounded.pl Normal file
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my (@names, @val, @weight, @vol, $max_vol, $max_weight, $vsc, $wsc);
if (1) { # change 1 to 0 for different data set
@names = qw(panacea icor gold);
@val = qw(3000 1800 2500);
@weight = qw(3 2 20 );
@vol = qw(25 15 2 );
$max_weight = 250;
$max_vol = 250;
$vsc = 1000;
$wsc = 10;
} else { # with these numbers cache would have been useful
@names = qw(panacea icor gold banana monkey );
@val = qw(17 11 5 3 34 );
@weight = qw(14 3 2 2 10 );
@vol = qw(3 4 2 1 12 );
$max_weight = 150;
$max_vol = 100;
$vsc = $wsc = 1;
}
my @cache;
my ($hits, $misses) = (0, 0);
sub solu {
my ($i, $w, $v) = @_;
return [0, []] if $i < 0;
if ($cache[$i][$w][$v]) {
$hits ++;
return $cache[$i][$w][$v]
}
$misses ++;
my $x = solu($i - 1, $w, $v);
my ($w1, $v1);
for (my $t = 1; ; $t++) {
last if ($w1 = $w - $t * $weight[$i]) < 0;
last if ($v1 = $v - $t * $vol[$i]) < 0;
my $y = solu($i - 1, $w1, $v1);
if ( (my $tmp = $y->[0] + $val[$i] * $t) > $x->[0] ) {
$x = [ $tmp, [ @{$y->[1]}, [$i, $t] ] ];
}
}
$cache[$i][$w][$v] = $x
}
my $x = solu($#names, $max_weight, $max_vol);
print "Max value $x->[0], with:\n",
" Item\tQty\tWeight Vol Value\n", '-'x 50, "\n";
my ($wtot, $vtot) = (0, 0);
for (@{$x->[1]}) {
my $i = $_->[0];
printf " $names[$i]:\t% 3d % 8d% 8g% 8d\n",
$_->[1],
$weight[$i] * $_->[1] / $wsc,
$vol[$i] * $_->[1] / $vsc,
$val[$i] * $_->[1];
$wtot += $weight[$i] * $_->[1];
$vtot += $vol[$i] * $_->[1];
}
print "-" x 50, "\n";
printf " Total:\t % 8d% 8g% 8d\n",
$wtot/$wsc, $vtot/$vsc, $x->[0];
print "\nCache hit: $hits\tmiss: $misses\n";