Anonymous: is there a way I can search a two dimensional array to macth both the columns?

To match both column vectors in one stroke you have to introduce
"another level of indirection", like:

 ...
 my @temp_array = ( [qw'a b'], [qw'c d'] );
 my @temp1 = qw'a b';
 my @temp2 = qw'c d';
 
 my @temp_exists = map @$_,
                   grep "@temp1" eq "@{$_->[0]}" && "@temp2" eq "@{$_-
+>[1]}",
                   \@temp_array ;
                   
 print "@$_\n" for @temp_exists
 ...
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Regards

mwa