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;

long long MOD = 1e9 + 7;

long long Calc(long long A, long long B) {
	if (B == 0) return 1;
	if (B % 2 == 0) {
		long long C = Calc(A, B / 2);
		return (C * C) % MOD;
	}
	return (A * Calc(A, B - 1)) % MOD;
}

int main() {
	long long M, N;
	cin >> M >> N;
	cout << Calc(M, N) << endl;
}
