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

int main()
{
    string a, b;
    cin >> a >> b;
    a = a + b;
    int n = stoi(a);
    int n1 = sqrt(n);
    n1 = n1*n1;
    if (n1 == n)cout << "Yes\n";
    else cout << "No\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 <bits/stdc++.h>
using namespace std;

int main()
{
    string a, b;
    cin >> a >> b;
    a = a + b;
    int n = stoi(a);
    int n1 = sqrt(n);
    n1 = n1*n1;
    if (n1 == n)cout << "Yes\n";
    else cout << "No\n";
}

```