I think this does the job, but it needs testing on some more demanding sample data.
c:\test>600418.pl
This input
0 0 1 1 0
1 0 1 1 1
0 1 0 1 0
1 1 0 0 1
0 1 1 1 0
Inverted looks like this
0 : 01010
1 : 00111
2 : 11001
3 : 11101
4 : 01010
This subset can be removed from the main group:
0 : 01010
4 : 01010
c:\test>600418.pl
This input
0 0 0 1 1 0 0 0
0 1 0 1 1 1 1 0
1 0 1 0 1 0 1 1
1 1 1 0 0 1 1 1
1 0 1 1 1 0 0 1
Inverted looks like this
0 : 00111
1 : 01010
2 : 00111
3 : 11001
4 : 11101
5 : 01010
6 : 01110
7 : 00111
This subset can be removed from the main group:
1 : 01010
5 : 01010
This subset can be removed from the main group:
0 : 00111
2 : 00111
7 : 00111
Relating the subset numbering back to the pre-inversion set is left as an exercise.
#! perl -slw
use strict;
=comment
my @grid = (
[ 0, 0, 1, 1, 0 ],
[ 1, 0, 1, 1, 1 ],
[ 0, 1, 0, 1, 0 ],
[ 1, 1, 0, 0, 1 ],
[ 0, 1, 1, 1, 0 ],
);
=cut
my @grid = (
# 0 1 2 3 4 5 6 7
[ 0, 0, 0, 1, 1, 0, 0, 0, ],
[ 0, 1, 0, 1, 1, 1, 1, 0, ],
[ 1, 0, 1, 0, 1, 0, 1, 1, ],
[ 1, 1, 1, 0, 0, 1, 1, 1, ],
[ 1, 0, 1, 1, 1, 0, 0, 1, ],
);
print "This input\n";
print "\t@$_" for @grid;
my @inverted;
for my $i ( 0 .. $#grid ) {
$inverted[ $_ ] .= $grid[ $i ][ $_ ] for 0 .. $#{ $grid[ $i ] };
}
print "\nInverted looks like this\n";
print "\t$_ : $inverted[ $_ ]" for 0 .. $#inverted;
my @bitCounts;
push @{ $bitCounts[ $inverted[ $_ ] =~ tr[1][1] ] }, $_ for 0 .. $#inv
+erted;
#print @{ $_||[] } for @bitCounts;
for my $c ( 2 .. $#bitCounts ) {
#print( "skipping $c elements < ${ \ scalar @{ $bitCounts[ $c ] }
+} bits" ),
next unless @{ $bitCounts[ $c ] } >= $c;
my @set = @{ $bitCounts[ $c ] };
for my $offset ( 0 .. @set - $c ) {
my $matches = grep{
$inverted[ $set[ $offset ] ] eq $_
} @inverted[ @set[ $offset .. $#set ] ];
#print "set:@set matches:$matches";
last unless $c <= $matches;
print "\nThis subset can be removed from the main group:\n";
print "\t$_ : $inverted[ $_ ]" for grep{
$inverted[ $set[ $offset ] ] eq $inverted[ $_ ]
} @set[ $offset .. $#set ];
}
}
Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
"Science is about questioning the status quo. Questioning authority".
In the absence of evidence, opinion is indistinguishable from prejudice.
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