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
# For taking integer inputs.
import math
from decimal import Decimal
from itertools import permutations


def inp():
    return(int(input()))


# For taking List inputs.
def inlist():
    return(list(map(int, input().split())))


# For taking string inputs. Actually it returns a List of Characters, instead of a string, which is easier to use in Python, because in Python, Strings are Immutable.
def instr():
    s = input()
    return(list(s[:len(s)]))


# For taking space seperated integer variable inputs.
def invr():
    return(map(int, input().split()))


n, k = invr()

c = k * (n-1) * (k-1)

print(c)
