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();	//個数
		int k=sc.nextInt();	//ペンキの種類

		int num=k;	//塗り方の個数

		for(int i=0;i<n-1;i++) num*=(k-1);

		//答えを出力
		System.out.println(num);
	}
} 