#include <iostream>
#include <math.h>

using namespace std;

int main()
{
	int a,b;
	cin>>a>>b;
	int x=b;
	while(x>0)
	{
		a*=10;
		x/=10;
	}
	a+=b;
	if(sqrt(a)==int(sqrt(a))) cout<<"Yes"<<endl;
	else cout<<"No"<<endl;
	return 0;
}
### Prompt

Develop a solution in cpp to the problem described below:

AtCoDeer the deer has found two positive integers, a and b. Determine whether the concatenation of a and b in this order is a square number.

Constraints

* 1 ≤ a,b ≤ 100
* a and b are integers.

Input

Input is given from Standard Input in the following format:


a b


Output

If the concatenation of a and b in this order is a square number, print `Yes`; otherwise, print `No`.

Examples

Input

1 21


Output

Yes


Input

100 100


Output

No


Input

12 10


Output

No

### Response

```cpp
#include <iostream>
#include <math.h>

using namespace std;

int main()
{
	int a,b;
	cin>>a>>b;
	int x=b;
	while(x>0)
	{
		a*=10;
		x/=10;
	}
	a+=b;
	if(sqrt(a)==int(sqrt(a))) cout<<"Yes"<<endl;
	else cout<<"No"<<endl;
	return 0;
}
```