typedef long long ll;
#include <bits/stdc++.h>
using namespace std;

int main() {
    string a,b;
    std::cin >> a>>b;
    cout<<(floor(floor(sqrt(stod(a+b)))*floor(sqrt(stod(a+b))))==floor(stod(a+b)) ? "Yes":"No")<<endl;
}


### 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
typedef long long ll;
#include <bits/stdc++.h>
using namespace std;

int main() {
    string a,b;
    std::cin >> a>>b;
    cout<<(floor(floor(sqrt(stod(a+b)))*floor(sqrt(stod(a+b))))==floor(stod(a+b)) ? "Yes":"No")<<endl;
}


```