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.*;
public class Main{
      public static void main(String[] args){
               Scanner sc=new Scanner(System.in);
               int n=sc.nextInt();
               int k=sc.nextInt();
               double ans=(int)Math.pow(k-1,n-1);
               System.out.println(ans*k);
     }
}