#include <bits/stdc++.h>

 using namespace std;

 int main() {
   string a, b;

   cin >> a >> b;

   if ((int)sqrt(stoi(a + b)) * (int)sqrt(stoi(a + b)) == stoi(a + b)) cout << "Yes" << endl;
   else cout << "No" << endl;
}

### 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;

   if ((int)sqrt(stoi(a + b)) * (int)sqrt(stoi(a + b)) == stoi(a + b)) cout << "Yes" << endl;
   else cout << "No" << endl;
}

```