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 Scala (2.11.7) (judge verdict: Accepted)


object Main extends App {
	val temp = scala.io.StdIn.readLine.split(" ").map(_.toInt)
	var result = 0

	def f(x: Int): Int = {
		var temp = x/10
		var z = x%10

		while(temp != 0){
			z = z + temp%10
			temp = temp / 10
		}
		z
	}

	for(i<-1 to temp(0)){
		val t = f(i)
		if(temp(1) <= t && t <= temp(2)) result = result + i
	}

	println(result)
}