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 {
	public static void main(String[] args) {

		Scanner sc=new Scanner(System.in);
		
		int n=sc.nextInt();
		
		int k=sc.nextInt();
		
		//最初はk通り。
		//次は隣とかぶらないようにk-1通り。
		
		long result=(int) (k*Math.pow((k-1),n-1));
		
		System.out.println(result);
		
		sc.close();


	}



}

