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
package main

import "fmt"

func main(){
  var ballNum, colorm, variation int
  fmt.Scan(&ballNum, &color)
  for i := 1; i <= ballNum; i++{
    if i == 1{
      variation = color
    } else {
      variation *= (color-1)
    }
  }
  fmt.Printf("%d", variation)
}