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  for my $digit (@digits) {
    next if $digit ~~ @number;
...
    append_digit();
    pop @number;
  }

  for my $pos (0..$#digits) {
    push @number, $digits[$pos];
...
    append_digit();
    pop @number;
  }

#!perl
use strict;
...

say "count: " . (0+@results);
#say for sort { $a <=> $b } @results;