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;
typedef long long ll;
#define MOD 1000000007
ll calculate(ll a, ll b);
int main()
{	
    ll m,n;
    cin >> m >> n;
    cout << calculate(m,n) << endl;
	return 0;
}

ll calculate(ll a, ll b){
	ll res = 1;
	for(int i=0; (1<<i) <= b ;i++){
		if(b>>i&1) res =(res*a) % MOD;
		a = (a*a) % MOD;
	}
	return res % MOD;
}

