#include<iostream>
#include<cmath>
using namespace std;
int main()
{
    int a,b,l,c;
cin>>a>>b;
    c=log10(b)+1;
    a=a*pow(10,c)+b;
    if(round(sqrt(a))==sqrt(a)) cout<<"Yes";
else cout<<"No";
}
### Prompt

Generate 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<cmath>
using namespace std;
int main()
{
    int a,b,l,c;
cin>>a>>b;
    c=log10(b)+1;
    a=a*pow(10,c)+b;
    if(round(sqrt(a))==sqrt(a)) cout<<"Yes";
else cout<<"No";
}
```