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

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

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

### 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>
using namespace std;

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

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

```