#include <bits/stdc++.h>
long long a, b, c;
int main() {
	std::cin >> a >> b >> c;
	if (c - a - b <= 0) puts("No");
	else {
		if ((c - a - b) * (c - a - b) > 4 * a * b) puts("Yes");
		else puts("No");
	}
}
### 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 <bits/stdc++.h>
long long a, b, c;
int main() {
	std::cin >> a >> b >> c;
	if (c - a - b <= 0) puts("No");
	else {
		if ((c - a - b) * (c - a - b) > 4 * a * b) puts("Yes");
		else puts("No");
	}
}
```