#include <bits/stdc++.h>
using namespace std;
int main()
{
	int n,m,cnt=0;
	cin>>n>>m;
	int m_atc=m;
	while(m_atc)
	{
		
		m_atc/=10;
		cnt++;
	}
	n=n*pow(10,cnt)+m;
	if(sqrt(n)==floor(sqrt(n)))cout<<"Yes";
	else cout<<"No";
	
}
### Prompt

Generate a Cpp solution to the following problem:

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 <bits/stdc++.h>
using namespace std;
int main()
{
	int n,m,cnt=0;
	cin>>n>>m;
	int m_atc=m;
	while(m_atc)
	{
		
		m_atc/=10;
		cnt++;
	}
	n=n*pow(10,cnt)+m;
	if(sqrt(n)==floor(sqrt(n)))cout<<"Yes";
	else cout<<"No";
	
}
```