#include<bits/stdc++.h>
using namespace std;
string b;
int a,c;
double d;
stringstream ss;
int main(){
    cin>>a>>b;
    ss<<b;ss>>c;
    d=sqrt(a*pow(10,b.length())+c);
    if(d-(int)d==0)cout<<"Yes";
    else cout<<"No";
}
### Prompt

Please provide a cpp coded solution to the problem described below:

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;
string b;
int a,c;
double d;
stringstream ss;
int main(){
    cin>>a>>b;
    ss<<b;ss>>c;
    d=sqrt(a*pow(10,b.length())+c);
    if(d-(int)d==0)cout<<"Yes";
    else cout<<"No";
}
```