#include <iostream>
using namespace std;
typedef unsigned long long ullong;

#define M 1000000007

ullong pow(ullong m, ullong n){
  if(n == 0)
    return 1;
  if(n%2 == 0)
    return (pow((m*m)%M, n/2))%M;
  else
    return (pow((m*m)%M, n/2)*m)%M;
}

int main(void){
  ullong m, n;
  cin >> m >> n;

  cout << pow(m, n) << endl;

  return 0;
}
### Prompt

Develop a solution in CPP 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 ullong;

#define M 1000000007

ullong pow(ullong m, ullong n){
  if(n == 0)
    return 1;
  if(n%2 == 0)
    return (pow((m*m)%M, n/2))%M;
  else
    return (pow((m*m)%M, n/2)*m)%M;
}

int main(void){
  ullong m, n;
  cin >> m >> n;

  cout << pow(m, n) << endl;

  return 0;
}
```