#include <stdio.h>

int main()
{
	long long a, b, c; scanf ("%lld %lld %lld", &a, &b, &c);

	if (c - a - b <= 0) puts("No");
	else puts(4 * a * b < (c - a - b) * (c - a - b) ? "Yes" : "No");
	return 0;
}
### Prompt

In cpp, your task is to solve the following problem:

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 <stdio.h>

int main()
{
	long long a, b, c; scanf ("%lld %lld %lld", &a, &b, &c);

	if (c - a - b <= 0) puts("No");
	else puts(4 * a * b < (c - a - b) * (c - a - b) ? "Yes" : "No");
	return 0;
}
```