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
#include<bits/stdc++.h>
using namespace std;
template<typename T>inline void read(T &x){
	register short f=1;x=0;char c=getchar();
	while(!isdigit(c)){if(c=='-')f=-1;c=getchar();}
	while(isdigit(c))x=(x<<3)+(x<<1)+(c^48),c=getchar();
	x*=f;
}
template<typename T>inline void write(T x){
	if(x<0)putchar('-'),x=-x;
	if(x>9)write(x/10);
	putchar(x%10+'0');
}
template<typename T>inline void writeln(T x){
	write(x),putchar('\n');
}
long long a,b;
int main(){
	read(a),read(b);
	write(b*pow(b-1,a-1));
	return 0;
}