For given integers m and n, compute mn (mod 1,000,000,007). Here, A (mod M) is the remainder when A is divided by M.

Constraints

* 1 ≤ m ≤ 100
* 1 ≤ n ≤ 109

Input


m n


Two integers m and n are given in a line.

Output

Print mn (mod 1,000,000,007) in a line.

Examples

Input

2 3


Output

8


Input

5 8


Output

390625
#include <bits/stdc++.h>
using namespace std;

#define int long long

#define MOD 1000000007

int pow_mod(int n, int m){
	int ans = 1;
	while(m > 0){
		if(m & 1) ans = (ans * n) % MOD;
		n = (n * n) % MOD;
		m >>= 1;
	}
	return ans;
}

signed main(){
	int n, m;
	cin >> n >> m;
	cout << pow_mod(n, m) << endl;
	return 0;
}

