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
#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
using namespace std;
using ll=long long;
const ll big = (ll)1e9 + 7;

ll po(ll b, ll e) {
	if (e == 1) {
		return b%big;
	}
	if (e%2){
		return b*po(b*b%big, e / 2)%big;
	}else {
		return po(b*b%big, e / 2)%big;
	}
}

int main() {
	ll m, n;
	cin >> m >> n;
	cout << po(m, n) << endl;
}