#include <bits/stdc++.h>
using namespace std;
int main() {
	string a, b;
	cin >> a >> b;
	int num = stoi(a + b);
	int n = sqrt(num);
	(n * n == stoi(a + b)) ? puts("Yes") : puts("No");
	return 0;
}


### Prompt

In cpp, your task is to solve 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;
	int num = stoi(a + b);
	int n = sqrt(num);
	(n * n == stoi(a + b)) ? puts("Yes") : puts("No");
	return 0;
}


```