#include <iostream>
using namespace std;
int main(){
	unsigned long long A, B, C;
	cin >> A >> B >> C;
	if(C > A+B && C*C + A*A + B*B > 2*A*C + 2*B*C + 2*A*B)
		cout << "Yes\n";
	else
		cout << "No\n";
}
	

### Prompt

Create a solution in cpp for 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;
int main(){
	unsigned long long A, B, C;
	cin >> A >> B >> C;
	if(C > A+B && C*C + A*A + B*B > 2*A*C + 2*B*C + 2*A*B)
		cout << "Yes\n";
	else
		cout << "No\n";
}
	

```