#include<cmath>
#include<cstdlib>
#include<iostream>
using namespace std;
string a,b;int c;
int main()
{
	cin>>a>>b;a+=b;
	c=atoi(a.c_str());
	if(pow((int)sqrt(c),2)==c)cout<<"Yes\n";
	else cout<<"No\n";
}
### Prompt

Please formulate 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<cmath>
#include<cstdlib>
#include<iostream>
using namespace std;
string a,b;int c;
int main()
{
	cin>>a>>b;a+=b;
	c=atoi(a.c_str());
	if(pow((int)sqrt(c),2)==c)cout<<"Yes\n";
	else cout<<"No\n";
}
```