#include<bits/stdc++.h>
using namespace std;
int main(){
  string s,t,u;
  cin>>t>>u;
  s=t+u;
  int n=stoi(s);
  string a="No";
  for(int i=4;i<=720;i++){
    if(i*i==n){a="Yes"; break;}
  }
  cout<<a<<endl;
}

### 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<bits/stdc++.h>
using namespace std;
int main(){
  string s,t,u;
  cin>>t>>u;
  s=t+u;
  int n=stoi(s);
  string a="No";
  for(int i=4;i<=720;i++){
    if(i*i==n){a="Yes"; break;}
  }
  cout<<a<<endl;
}

```