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



int32_t main()
{
   string x,y;
   cin>>x>>y;
   x+=y;
   int z=stoi(x);
   cout<<(ceil(sqrt(z))==floor(sqrt(z))?"Yes":"No")<<endl;   
    
}
### 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;



int32_t main()
{
   string x,y;
   cin>>x>>y;
   x+=y;
   int z=stoi(x);
   cout<<(ceil(sqrt(z))==floor(sqrt(z))?"Yes":"No")<<endl;   
    
}
```