Problem:
Score : 200 points

Problem Statement

Find the sum of the integers between 1 and N (inclusive), whose sum of digits written in base 10 is between A and B (inclusive).

Constraints

1 \leq N \leq 10^4

1 \leq A \leq B \leq 36

All input values are integers.

Input

Input is given from Standard Input in the following format:

N A B

Output

Print the sum of the integers between 1 and N (inclusive), whose sum of digits written in base 10 is between A and B (inclusive).

Sample Input 1

20 2 5

Sample Output 1

84

Among the integers not greater than 20, the ones whose sums of digits are between 2 and 5, are: 2,3,4,5,11,12,13,14 and 20. We should print the sum of these, 84.

Sample Input 2

10 1 2

Sample Output 2

13

Sample Input 3

100 4 16

Sample Output 3

4554

Solution in Perl6 (rakudo-star 2016.01) (judge verdict: Time Limit Exceeded)

use v6;

my ($n, $a, $b) = get().chomp.split(' ');
my $ans = 0;

loop (my $i = 1; $i <= $n; $i++) {
    my $num = $i;
    my $sum = 0;

    while ($num != 0) {
        $_ = $num % 10;
        $sum += $_;
        last if $b < $sum;
        $num div= 10;
    }

    $ans += $i if (($a <= $sum)and($sum <= $b));
}
say $ans;

exit;