#include <bits/stdc++.h>
using namespace std;

int main(){
  string a,b,c;
  int n,m;
  cin >> a >> b;
  c=a+b;
  n=stoi(c);
  m=sqrt(n);
  if (n==m*m){
    cout << "Yes" << endl;
  }
  else{
    cout << "No" << endl;
  }
 }

### 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,c;
  int n,m;
  cin >> a >> b;
  c=a+b;
  n=stoi(c);
  m=sqrt(n);
  if (n==m*m){
    cout << "Yes" << endl;
  }
  else{
    cout << "No" << endl;
  }
 }

```