#include <bits/stdc++.h>

using namespace std;
int main() {
string a,b;
cin>>a>>b;
a+=b;
int x=stoi(a);
int z=sqrt(x);
if(z*z==x)
cout<<"Yes";
else cout<<"No";
    return 0;
}
### Prompt

Create a solution in CPP for 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>

using namespace std;
int main() {
string a,b;
cin>>a>>b;
a+=b;
int x=stoi(a);
int z=sqrt(x);
if(z*z==x)
cout<<"Yes";
else cout<<"No";
    return 0;
}
```