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

int main() {
  long long a, b, c, t;
  cin >> a >> b >> c;
  t = c - a - b;
  if (t > 0 && t * t > 4 * a * b) cout << "Yes\n";
  else cout << "No\n";
}
### 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 <bits/stdc++.h>
using namespace std;

int main() {
  long long a, b, c, t;
  cin >> a >> b >> c;
  t = c - a - b;
  if (t > 0 && t * t > 4 * a * b) cout << "Yes\n";
  else cout << "No\n";
}
```