#include <iostream>
#include <cmath>
int main(){int a,b;std::cin>>a>>b;b+=a*std::pow(10,(int)std::log10(b)+1);std::cout<<(std::fmod(std::sqrt(b),1)>0?"No":"Yes")<<"\n";}
### 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>
int main(){int a,b;std::cin>>a>>b;b+=a*std::pow(10,(int)std::log10(b)+1);std::cout<<(std::fmod(std::sqrt(b),1)>0?"No":"Yes")<<"\n";}
```