The only really complicated part here is how to efficiently sort the file names by their numerical component. The following shows how this can be done:

use strict;
use warnings;

my %names;

# Extract numerical component of each file name and create
# key (name) / value (number) pair
while (<DATA>) { chomp; ($names{$_}) = m/(\d+)/; }

# Sort the keys by their values (numerically) and print
print "$_\n" for sort {$names{$a} <=> $names{$b}} keys %names;

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