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

long long a, b, c, t;
int main() {
	cin >> a >> b >> c;
	t = c-a-b;
	cout << (t>0 && 4*a*b < t*t ? "Yes" : "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 <cstdio>
using namespace std;

long long a, b, c, t;
int main() {
	cin >> a >> b >> c;
	t = c-a-b;
	cout << (t>0 && 4*a*b < t*t ? "Yes" : "No");
	return 0;
}
```