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 <bits/stdc++.h>
using namespace std;
const int INF = 0x3f3f3f3f;
const long long INFL = 0x3f3f3f3f3f3f3f3fLL;
const double EPS = 1e-9;
const int DX[] = {1, 0, -1, 0}, DY[] = {0, -1, 0, 1};
int main() {
  int A, B;
  long long ans = B;
  for (int i = 1; i < (A); i++) {
    ans *= (B - 1);
  }
  cout << ans << endl;
}
