#include<bits/stdc++.h>
using namespace std;

int main(){
  string a,b;
  cin>>a>>b;
  string ss=a+b;
  int num=stoi(ss);
  int n=sqrt(num);
  if (n*n==num){cout<<"Yes"<<endl;}
  else{cout<<"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 main(){
  string a,b;
  cin>>a>>b;
  string ss=a+b;
  int num=stoi(ss);
  int n=sqrt(num);
  if (n*n==num){cout<<"Yes"<<endl;}
  else{cout<<"No"<<endl;}
  
}
  
```