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)

my ($n,$a,$b)=get.words;
my ($s,$m)=0,0;
for (1..$n) -> $_ {
	$m+=1-9*($_%10==0)-9*($_%100==0)-9*($_%1000==0)-9*($_%10000==0);
	$s+=$_ if $b>=$m>=$a;
}
say $s