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

int main(){
      string a,b;cin >> a >> b;
      string c = a + b;
      int x = stoi(c);
      if(pow((int)sqrt(x), 2) == x)cout << "Yes";
      else cout << "No";
}
### 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;
      string c = a + b;
      int x = stoi(c);
      if(pow((int)sqrt(x), 2) == x)cout << "Yes";
      else cout << "No";
}
```