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

int main(){
  string a,b;cin>>a>>b;
  auto t=atoi(string{a+b}.c_str());
  if (sqrt(t)==floor(sqrt(t)))puts("Yes");else puts("No");
}
### Prompt

Create a solution in CPP for 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;
  auto t=atoi(string{a+b}.c_str());
  if (sqrt(t)==floor(sqrt(t)))puts("Yes");else puts("No");
}
```