# create a new hash where the key is the value of the original hash, and the value is an array of keys from the original hash that have the given value

foreach $key0 (keys(%data_hash))
{

    foreach $key1 (keys(%{$data_hash{$key0}}))
    {
        for ($i = 0; $i < @{$limit_hash{$key0}{$key1}{'limit'}}; $i++)
        {
        
            push(@{$new_hash{$data_hash{$key0}[$i]{$key1}}}, $key0 . "__" . $limit_hash{$key0}{$key1}{'limit'}[$i] . "__" . $key1);
            
        }
    }
}

# now print the new hash that is sorted by value

foreach my $sorted_by_val ( sort{$a <=> $b} keys(%new_hash))
{
    printf("key %.2f: ", $sorted_by_val);

    foreach my $val (@{$new_hash{$sorted_by_val}})
    {

        printf("$val");
    }
    
    printf("\n");


}