Problem:
Score : 100 points

Problem Statement

N of us are going on a trip, by train or taxi.

The train will cost each of us A yen (the currency of Japan).

The taxi will cost us a total of B yen.

How much is our minimum total travel expense?

Constraints

All values in input are integers.

1 \leq N \leq 20

1 \leq A \leq 50

1 \leq B \leq 50

Input

Input is given from Standard Input in the following format:

N A B

Output

Print an integer representing the minimum total travel expense.

Sample Input 1

4 2 9

Sample Output 1

8

The train will cost us 4 \times 2 = 8 yen, and the taxi will cost us 9 yen, so the minimum total travel expense is 8 yen.

Sample Input 2

4 2 7

Sample Output 2

7

Sample Input 3

4 2 8

Sample Output 3

8

Solution in Kotlin (1.0.0) (judge verdict: Wrong Answer)

fun main(args: Array<String>) {
    val (L, R) = readLine()!!.split(' ').map { it.toLong() }
    var min = 2019.toLong()
    for (i in L..R + 1.toLong()) {
        for (j in L + 1..R) {
            if (i.times(j).mod(2019.toLong()) == 0.toLong()) {
                min = 0
                break
            } else if (i.times(j).mod(2019.toLong()) < min) {
                min = i.times(j).mod(2019.toLong())
            }
        }
    }
    print(min)
}