#include<iostream>
using namespace std;
int main(){
  string a,b;
  cin>>a>>b;
  int n=stoi(a+b);
  for(int i=0;i<400;i++){
    if(i*i==n){
      cout<<"Yes"<<endl;
      return 0;
      }
    }
  cout<<"No"<<endl;
  return 0;
  }
### Prompt

Please provide a Cpp coded solution to the problem described below:

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<iostream>
using namespace std;
int main(){
  string a,b;
  cin>>a>>b;
  int n=stoi(a+b);
  for(int i=0;i<400;i++){
    if(i*i==n){
      cout<<"Yes"<<endl;
      return 0;
      }
    }
  cout<<"No"<<endl;
  return 0;
  }
```