Also, your loop comparison should be
$i <= $#array1 or
$i < @array1, not
$i <= $array1, which tries to compare
$i to some (probably newly created) scalar
$array1.
Strong Suggestion: always use warnings; and use strict;, which would have alerted you to some, at least, of the errors noted.
Another Suggestion: try using the Perl-style rather than the C-style for loop:
for my $i (@array1) {
for my $j (@array2) {
...
}
}
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