#include<iostream>
#include<string>
using namespace std;
int main(){
  string  a,b;
  cin>>a>>b;
  int x=stoi(a+b);
  for(int i=0;i<=1000;i++){
    if(x==i*i){
      puts("Yes");
      return 0;
    }
  }
    puts("No");
}
  
### Prompt

Your task is to create 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<iostream>
#include<string>
using namespace std;
int main(){
  string  a,b;
  cin>>a>>b;
  int x=stoi(a+b);
  for(int i=0;i<=1000;i++){
    if(x==i*i){
      puts("Yes");
      return 0;
    }
  }
    puts("No");
}
  
```