#include <iostream>
#include <cmath>
#include <string>
using namespace std;

signed main() {
  string a, b; cin >> a >> b;
  int n = stoi(a+b);
  int m = (int)sqrt(n);

  cout << (n == m*m ? "Yes" : "No") << endl;
}

### 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 <iostream>
#include <cmath>
#include <string>
using namespace std;

signed main() {
  string a, b; cin >> a >> b;
  int n = stoi(a+b);
  int m = (int)sqrt(n);

  cout << (n == m*m ? "Yes" : "No") << endl;
}

```