#include <iostream>
#include<string>
using namespace std;

int main() {
	string a, b;
	cin >> a >> b;
	int c = stoi(a + b);

	for (int i = 1; i <= 1000; i++) {
		if (c == i * i){cout << "Yes"; return 0;
	}
	}
	cout << "No";
}
### Prompt

Create a solution in Cpp for 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 <iostream>
#include<string>
using namespace std;

int main() {
	string a, b;
	cin >> a >> b;
	int c = stoi(a + b);

	for (int i = 1; i <= 1000; i++) {
		if (c == i * i){cout << "Yes"; return 0;
	}
	}
	cout << "No";
}
```