#include <bits/stdc++.h>

using namespace std;

int main(){
	string str, s;
	cin >> str >> s;
	string ans = str + s;
	double num = stoi(ans);
	double n = sqrt(num);
	(n - floor(n) == 0)?cout << "Yes":cout << "No";
}



### 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 str, s;
	cin >> str >> s;
	string ans = str + s;
	double num = stoi(ans);
	double n = sqrt(num);
	(n - floor(n) == 0)?cout << "Yes":cout << "No";
}



```