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

ullong power(ullong x,ullong n,ullong M)
{
	if(n==0)return 1;
	ullong res=power(x*x%M,n/2,M);
	if(n%2==1)res=res*x%M;
	return res;
}

int main()
{
	ullong x,n;
	cin>>x>>n;
	cout<<power(x,n,1000000007)<<endl;
	return 0;
}
### Prompt

Construct a cpp code solution to the problem outlined:

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;

ullong power(ullong x,ullong n,ullong M)
{
	if(n==0)return 1;
	ullong res=power(x*x%M,n/2,M);
	if(n%2==1)res=res*x%M;
	return res;
}

int main()
{
	ullong x,n;
	cin>>x>>n;
	cout<<power(x,n,1000000007)<<endl;
	return 0;
}
```