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 <iostream>
#include <cstdlib>
#include <string>
#include <vector>
#include <stack>
#include <map>
#include <set>
#include <algorithm>
#include <numeric>
#include <math.h>
#include <stdio.h>
#include <ctype.h>
#include <ios> 
#include <iomanip>
using namespace std;

#define N_MAX   (100000)
#define LL_MAX_NUM (1LL<<60)
#define INF 1e7

typedef long long ll;
typedef long long int lli;

int main() {
	int n, k; cin >> n >> k;
    ll ans = k;
    for (int i = 2; i <= n; i++)
    {
        ans *= (k -1)
    }
    cout << ans << endl;
	return 0;
}