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.

Examples

Input

4 2 9


Output

8


Input

4 2 7


Output

7


Input

4 2 8


Output

8
import java.util.*;

public class Main
{
	public static void main(String[] args)
	{
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		int a = sc.nextInt();
		int b = sc.nextInt();
		int ans = n*a < b? n*a : b;
		//ArrayList<Integer> iarr = new ArrayList<Integer>();


		System.out.println(ans);
	}

}