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
def solve():
    N, K = list(map(int, input().split()))

    TABLE = [[-1 for x in range(K + 1)] for y in range(N + 1)]

    def recur(i, k):
        if not TABLE[i][k] == -1:
            return TABLE[i][k]

        if not i < N:
            return 1

        ans = 0
        for a in range(K):
            if not a == k:
                ans += recur(i + 1, a)

        TABLE[i][k] = ans
        return TABLE[i][k]

    return recur(0, -1)


if __name__ == '__main__':
    res = solve()
    print(res)
