#include <iostream>
using namespace std;

long long a, b, c, d;

int main()
{
	cin >> a >> b >> c;

	d = c - a - b;

	if (d > 0 && d * d > 4 * a * b)
		cout << "Yes" << endl;
	else
		cout << "No" << endl;
}

### Prompt

Generate a Cpp solution to 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 <iostream>
using namespace std;

long long a, b, c, d;

int main()
{
	cin >> a >> b >> c;

	d = c - a - b;

	if (d > 0 && d * d > 4 * a * b)
		cout << "Yes" << endl;
	else
		cout << "No" << endl;
}

```