#include "bits/stdc++.h"
using namespace std;

int main() {

	long long  a, b, c;
	cin >> a >> b >> c;


	if ((c-a-b)*(c-a-b) > 4*a*b && c-a-b>0)
		cout << "Yes";

	else
		cout << "No";
}


### Prompt

Please provide a CPP coded solution 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"
using namespace std;

int main() {

	long long  a, b, c;
	cin >> a >> b >> c;


	if ((c-a-b)*(c-a-b) > 4*a*b && c-a-b>0)
		cout << "Yes";

	else
		cout << "No";
}


```