#include <bits/stdc++.h>
using namespace std;
int n,i,j,l,k,s,y,z,c;
string a,b;
int main(){
  cin>>a>>b;c=stoi(a+b);
  k=sqrt(c);
  cout<<(k*k==c?"Yes":"No")<<endl;
}
### 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 <bits/stdc++.h>
using namespace std;
int n,i,j,l,k,s,y,z,c;
string a,b;
int main(){
  cin>>a>>b;c=stoi(a+b);
  k=sqrt(c);
  cout<<(k*k==c?"Yes":"No")<<endl;
}
```