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

int main(){
  int a,b,i,dig,f=0;cin>>a>>b;
  dig=log10(b)+1;
  a=a*pow(10,dig)+b;
  for(i=1;i*i<=a;i++){
    if(i*i==a) f=1;
  }
  cout<<(f?"Yes":"No");
}
### Prompt

Construct a cpp code solution to the problem outlined:

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(){
  int a,b,i,dig,f=0;cin>>a>>b;
  dig=log10(b)+1;
  a=a*pow(10,dig)+b;
  for(i=1;i*i<=a;i++){
    if(i*i==a) f=1;
  }
  cout<<(f?"Yes":"No");
}
```