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 <algorithm>
#include <ctype.h>
#include <functional>
#include <iomanip>
#include <iostream>
#include <list>
#include <map>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <utility>
#include <vector>
using namespace std;

#define ENDL '\n'
#define FOR(i, n) for (int i = 0; i < n; i++)
#define FOR_EACH(i, v) for (auto&& i : v);

int main()
{
	cin.tie(nullptr);
	ios::sync_with_stdio(false);

	int N;
	int K;
	cin >> N >> K;

	cout << K * (int)pow(K - 1, N - 1) << ENDL;

	return 0;
}