#include <iostream>
#include <cmath>

using namespace std;

int main(void) {

	long double a, b, c;
	cin >> a >> b >> c;

	cout << (a + b + 2 * sqrtl(a*b) < c ? "Yes" : "No") << endl;

	return 0;
}
### Prompt

Develop a solution in cpp to the problem described below:

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(void) {

	long double a, b, c;
	cin >> a >> b >> c;

	cout << (a + b + 2 * sqrtl(a*b) < c ? "Yes" : "No") << endl;

	return 0;
}
```