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 arr = scala.io.StdIn.readLine().split(" ").map(_.toInt)
  val (n, a, b) = (arr(0), arr(1), arr(2))

  var ls = scala.collection.mutable.ArrayBuffer.empty[Int]
  for (e <- 0 to n) e match {
    case x if x < 10 && (a to b).contains(x) => ls += x
    case x if x >= 10 && (a to b).contains(x.toString.map(_.asDigit).sum) => ls += x
    case _ => None
  }

  val ans = ls.sum

  println(ans)
}