There are N balls placed in a row. AtCoDeer the deer is painting each of these in one of the K colors of his paint cans. For aesthetic reasons, any two adjacent balls must be painted in different colors.

Find the number of the possible ways to paint the balls.

Constraints

* 1≦N≦1000
* 2≦K≦1000
* The correct answer is at most 2^{31}-1.

Input

The input is given from Standard Input in the following format:


N K


Output

Print the number of the possible ways to paint the balls.

Examples

Input

2 2


Output

2


Input

1 10


Output

10
import java.util.Scanner;
public class Main {

	private static Scanner sc;

	public static void main(String[] args) {
		sc = new Scanner(System.in);
		int n = sc.nextInt();
		int k = sc.nextInt();
		long max=k;
		for(int i=1;i<n;i++) {
			max=max*(k-1);
		}
		System.out.println(max);

	}

}