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

### Prompt

Your challenge is to write a CPP solution to 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;
  for (int i=0;i*i<=stoi(a+b);i++){
    if(i*i==stoi(a+b)){
    	cout<<"Yes"<<endl;
      	return 0;
    }
  }
  cout<<"No"<<endl;
}

```