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

int main(){
  string s, t;
  cin>>s>>t;
  int x=stoi(s+t);
  for(int i=1; i<1000; i++){
    if(i*i==x){
      cout << "Yes"<< endl;
      return 0;
    }
  }
  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 s, t;
  cin>>s>>t;
  int x=stoi(s+t);
  for(int i=1; i<1000; i++){
    if(i*i==x){
      cout << "Yes"<< endl;
      return 0;
    }
  }
  cout << "No" << endl;
}
```