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

int main() {
  string A, B;
  cin >> A >> B;

  int n = stoi(A + B);
  if (pow(floor(sqrt(n)), 2) == n) {
    cout << "Yes" << endl;
  } else {
    cout << "No" << endl;
  }
}

### Prompt

Your task is to create 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;

  int n = stoi(A + B);
  if (pow(floor(sqrt(n)), 2) == n) {
    cout << "Yes" << endl;
  } else {
    cout << "No" << endl;
  }
}

```