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;
int pow(int x, int n) {
  if (n == 0) return 1;
  int res = pow(x * x, n / 2) % 1000000007;
  if (n % 2 == 1) {
    res = res * x % 1000000007;
  }
  return res;
}
int main() {
  cin.tie(0);
  ios::sync_with_stdio(false);
  int n, m;
  cin >> m >> n;
  cout << pow(m, n) << endl;
}
