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: Runtime Error)

import java.util.Scanner

object Main extends App {

  val sc = new Scanner(System.in)
  val n = sc.nextInt()
  val a = sc.nextInt()
  val b = sc.nextInt()


  private val res = (1 to n)
    .map(i => (i, i.toString.split("").map(_.toInt).sum))
    .filter { case (_, isum) => isum >= a && isum <= b }.map(_._1).sum

  println(res)


}