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
sample = input() # two numbers in a string
new_sample = sample.split(" ")

ball = int(new_sample[0]) # number of balls
color = int(new_sample[1]) # number of colors
if color == 1 and ball > 1:
  print(0)
else:
	product = color


# for i in range(1, ball):
  for i in range(1, ball):
    product *= (color-1)
  print(product)

  
# 3 balls, 10 colors
# 1st spot, 10 choices
# 2nd spot, 9 choices
# 3rd spot, 9 choices
