#include <bits/stdc++.h>
using namespace std;
int main()
{
	string a, b; cin>>a>>b;
	auto n=stol(a+b);
	long x=sqrt(n);
	cout<<"No\0Yes"+3*(x*x==n)<<endl;
}
### 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()
{
	string a, b; cin>>a>>b;
	auto n=stol(a+b);
	long x=sqrt(n);
	cout<<"No\0Yes"+3*(x*x==n)<<endl;
}
```