#include<iostream>
#include<cmath>
#include<string>
using namespace std;
int main(){
  string s,t;
  cin>>s>>t;
  s+=t;
  int a=stoi(s);
  cout<<((int)sqrt(a)*(int)sqrt(a)==a?"Yes":"No")<<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<iostream>
#include<cmath>
#include<string>
using namespace std;
int main(){
  string s,t;
  cin>>s>>t;
  s+=t;
  int a=stoi(s);
  cout<<((int)sqrt(a)*(int)sqrt(a)==a?"Yes":"No")<<endl;
}

```