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

int main()
{
  string a,b;
  cin>>a>>b;
  a = a+b;
  stringstream d(a);
  int n;
  d>>n;
  int k = sqrt(n);
  if(k*k==n)
    cout<<"Yes\n";
  else
    cout<<"No\n";
  
  
  return 0;
}
### 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;
  a = a+b;
  stringstream d(a);
  int n;
  d>>n;
  int k = sqrt(n);
  if(k*k==n)
    cout<<"Yes\n";
  else
    cout<<"No\n";
  
  
  return 0;
}
```