#include<bits/stdc++.h>
#include<cmath>
#include<string>
using namespace std;
int main(){
    string A,B;
    cin>>A>>B;
  	int C=stoi(A+B);
  	int D=sqrt(C);
 
  	if(D*D==C) cout<<"Yes";
  	else cout<<"No";
}

### Prompt

Construct a CPP code solution to the problem outlined:

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>
#include<cmath>
#include<string>
using namespace std;
int main(){
    string A,B;
    cin>>A>>B;
  	int C=stoi(A+B);
  	int D=sqrt(C);
 
  	if(D*D==C) cout<<"Yes";
  	else cout<<"No";
}

```