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

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

### Prompt

Construct a CPP code solution to the problem outlined:

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 num = stoi(a), calc;
	calc = sqrt(num);
	if(calc * calc == num)
	{
		cout << "Yes\n";
	}else
	{
		cout << "No\n";
	}
}

```