Painting Balls with AtCoDeer

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

inputFormat

Input

The input is given from Standard Input in the following format:

N K

outputFormat

Output

Print the number of the possible ways to paint the balls.

Examples

Input

2 2

Output

2

Input

1 10

Output

10

样例

2 2

2