 #include<bits/stdc++.h>
using namespace std;
int main(){
   string a , b;
  cin>>a>>b;
  string s = a+b;
  int n = stoi(s);
  if( sqrt(n) - floor(sqrt(n)) == 0 )
    cout<<"Yes";
  else
    cout<<"No";

}

### Prompt

In cpp, your task is to solve 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;
  string s = a+b;
  int n = stoi(s);
  if( sqrt(n) - floor(sqrt(n)) == 0 )
    cout<<"Yes";
  else
    cout<<"No";

}

```