#include<bits/stdc++.h>
signed main(){int a,b;std::cin>>a>>b;std::cout<<(((a = a*(int)pow(10,(int)(log10(b)+1))+b) == (int)sqrt(a)*sqrt(a))?"Yes":"No")<<std::endl;}
### Prompt

Please formulate 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<bits/stdc++.h>
signed main(){int a,b;std::cin>>a>>b;std::cout<<(((a = a*(int)pow(10,(int)(log10(b)+1))+b) == (int)sqrt(a)*sqrt(a))?"Yes":"No")<<std::endl;}
```