#include<iostream>
#include<math.h>
#include<stdio.h>
using namespace std;

int main(void){
    string a,b;
    cin>>a>>b;
    int c;
    c = pow(stoi(a+b),0.5);
    cout<<((c*c == stoi(a+b))?"Yes":"No")<<endl;

}
### Prompt

Your challenge is to write 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<math.h>
#include<stdio.h>
using namespace std;

int main(void){
    string a,b;
    cin>>a>>b;
    int c;
    c = pow(stoi(a+b),0.5);
    cout<<((c*c == stoi(a+b))?"Yes":"No")<<endl;

}
```