#include <iostream>

using namespace std;

typedef unsigned long long ull;

ull mod_pow(ull m,ull n) {
	if (n == 0) {
		return 1;
	}
	
	ull res = mod_pow(m * m % 1000000007ll,n / 2);
	
	if (n % 2) {
		res = res * m % 1000000007ll;
	}
	return res;
}

int main() {
	ull m,n;
	cin >> m >> n;
	cout << mod_pow(m,n) << endl;
}

### Prompt

Please provide a cpp coded solution to the problem described below:

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

### Response

```cpp
#include <iostream>

using namespace std;

typedef unsigned long long ull;

ull mod_pow(ull m,ull n) {
	if (n == 0) {
		return 1;
	}
	
	ull res = mod_pow(m * m % 1000000007ll,n / 2);
	
	if (n % 2) {
		res = res * m % 1000000007ll;
	}
	return res;
}

int main() {
	ull m,n;
	cin >> m >> n;
	cout << mod_pow(m,n) << endl;
}

```