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
#include <cstdio>
int main()
{
	int n = 0,k = 0;
	scanf ("%d %d",&n,&k);
	if (n>1)printf ("%d",n*(n-1)*(k-1));
	else printf("%d",k)；
	return 0;
	}