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 {
  def recursive_sum(i: Int): Int = {
    def accumlator(acc: Int, i: Int): Int = if (i == 0) {
      acc
    } else {
      accumlator(acc + (i % 10), i / 10)
    }

    accumlator(0, i)
  }

  val sc = new java.util.Scanner(System.in)
  val n, a, b = sc.nextInt()
  val xs = for {
    i <- Iterator.range(1, n + 1)
    t = (i, recursive_sum(i))
    if a <= t._2 && t._2 <= b
  } yield {
    t._1
  }
  val ret = xs.sum
  println(ret)
}