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
#pragma GCC optimize("Ofast")
#include<bits/stdc++.h>
using namespace std;
using ll=long long;
using ld=long double;
const ll LL_MAX=LLONG_MAX;
struct in{
    template<typename T>
    T operator()(){
        T x;
        cin >> x;
        return x;
    }
};

template <typename T,typename U>
void forin(T* x,U n){
    for (U i=0;i<n;i++) cin >> x[i];
}

template <typename T>
int div1(T x) {
    return x%1000000007;
}

template <typename T>
void out(T x){
    cout << x << endl;
}

main(){
    int n=in(),k=in();
    out(k*pow((double)(k-1),n));
}