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

int main(){
  string a,b;
  cin >> a >> b;
  int x=stoi(a+b);
  double sq=sqrt(x);
  if(sq==(int)sq){
    cout << "Yes" << endl;
  }else{
    cout << "No" << endl;
  }
  return 0;
}

### Prompt

Develop a solution in Cpp to the problem described below:

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;
  int x=stoi(a+b);
  double sq=sqrt(x);
  if(sq==(int)sq){
    cout << "Yes" << endl;
  }else{
    cout << "No" << endl;
  }
  return 0;
}

```