#include <iostream>
using namespace std;

int main(){
  string a, b;
  cin >> a >> b;
  int x = stoi(a+b);
  for (int i = 1; i <= 1000; i++){
    if (i*i == x){
      cout << "Yes";
      return 0;
    }
  }
  cout << "No";
}

### Prompt

Generate 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 <iostream>
using namespace std;

int main(){
  string a, b;
  cin >> a >> b;
  int x = stoi(a+b);
  for (int i = 1; i <= 1000; i++){
    if (i*i == x){
      cout << "Yes";
      return 0;
    }
  }
  cout << "No";
}

```