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 Pascal (FPC 2.6.2) (judge verdict: Accepted)

var n,a,b,s,i,m:Longint;
begin
	read(n,a,b);
	for i:=1 to n do begin
		m:=m+1;
		if i mod 10000 = 0 then m:=1
		else if i mod 1000 = 0 then m:=m-27
		else if i mod 100 = 0 then m:=m-18
		else if i mod 10 = 0 then m:=m-9;
		if (a<=m)and(m<=b)then s:=s+i;
	end;
	writeln(s);
end.