#include <bits/stdc++.h>
using namespace std;
#define rep(i,n) for(int i=0;i<n;i++)
int main(){
  string a,b;
  cin>>a>>b;
  int x=stoi(a+b);
  string ans="No";
  rep(i,1000){
    if(i*i==x) ans="Yes";
  }
  cout<<ans<<endl;
}
### Prompt

Construct a CPP code solution to the problem outlined:

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;
#define rep(i,n) for(int i=0;i<n;i++)
int main(){
  string a,b;
  cin>>a>>b;
  int x=stoi(a+b);
  string ans="No";
  rep(i,1000){
    if(i*i==x) ans="Yes";
  }
  cout<<ans<<endl;
}
```