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

int main() {
  string A, B;
  cin >> A >> B;
  A += B;
  int tmp = stoi(A);
  cout << ((sqrt(tmp) == (int) sqrt(tmp)) ? "Yes" : "No") << "\n";
}
### 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>
using namespace std;

int main() {
  string A, B;
  cin >> A >> B;
  A += B;
  int tmp = stoi(A);
  cout << ((sqrt(tmp) == (int) sqrt(tmp)) ? "Yes" : "No") << "\n";
}
```