sub pwc { my ( $from, $to, $target ) = @_; use integer; my @witnesses = ([ 4, 7 ], [ 2 .. 9 ]); my ( %pairs, $j ); for ( my $i = ( $from + 2 ) / 3 * 3; $i <= $to; $i += 3 ) { my $i_key = join '', sort split '', $i; my $k = $i % 9 ? 0 : 1; for ( @{ $witnesses[ $k ]}) { last if length( $j = $i * $_ ) != length( $i ); $pairs{ $i }{ $j } = $_ unless $i_key ne join '', sort split '', $j } for ( @{ $witnesses[ $k ]}) { last if length( $j = $i / $_ ) != length( $i ); $pairs{ $i }{ $j } = -$_ unless $i % $_ || exists $pairs{ $j } && exists $pairs{ $j }{ $i } || $i_key ne join '', sort split '', $j } } return scalar grep { %$_ >= $target } values %pairs }