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 Kotlin (1.0.0) (judge verdict: Accepted)

    fun main(args: Array<String>) {
        val input = read()
        println(someSums(input))
    }

    data class Inputs(val max: Int, val lower: Int, val higher: Int)

    fun read(): Inputs {
        val args = readLine()!!.split(' ').map { Integer.parseInt(it) }
        return Inputs(args[0], args[1], args[2])
    }

    fun someSums(inputs: Inputs): Int {
        val judge = { value: Int ->
            val sum = value.toString().sumBy { Integer.parseInt(it.toString()) }
            (inputs.lower <= sum && sum <= inputs.higher)
        }

        return (0..inputs.max).filter(judge).sum()
    }