#include<iostream>
#include<cmath>

using namespace std;

int main() {
	long double a, b, c;
	cin >> a >> b >> c;
	if (a + b + 2 * sqrt(a * b) < c)
		cout << "Yes";
	else
		cout << "No";
	return 0;
}
### Prompt

Construct a CPP code solution to the problem outlined:

Does \sqrt{a} + \sqrt{b} < \sqrt{c} hold?

Constraints

* 1 \leq a, b, c \leq 10^9
* All values in input are integers.

Input

Input is given from Standard Input in the following format:


a \ b \ c


Output

If \sqrt{a} + \sqrt{b} < \sqrt{c}, print `Yes`; otherwise, print `No`.

Examples

Input

2 3 9


Output

No


Input

2 3 10


Output

Yes

### Response

```cpp
#include<iostream>
#include<cmath>

using namespace std;

int main() {
	long double a, b, c;
	cin >> a >> b >> c;
	if (a + b + 2 * sqrt(a * b) < c)
		cout << "Yes";
	else
		cout << "No";
	return 0;
}
```