Problem: 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

Solution (in CPP):

Solution:
#include <iostream>
using namespace std;
int main(){
  int a,b,ans=1;
  cin>>a>>b;
  for(int i=1;i<a;i++)
    ans*=(b-1);
  cout<<b*ans<<endl;
}