#include <bits/stdc++.h>

using namespace std;

int main() {
    string a, b;
    cin >> a >> b;
    a += b;
    double sq = sqrt(stoi(a));
    puts(sq == floor(sq) ? "Yes" : "No");
    return 0;
}

### 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>

using namespace std;

int main() {
    string a, b;
    cin >> a >> b;
    a += b;
    double sq = sqrt(stoi(a));
    puts(sq == floor(sq) ? "Yes" : "No");
    return 0;
}

```