#include <iostream>

using namespace std;
using ll = long long;

int main() {
  ll a, b, c;
  cin >> a >> b >> c;
  ll d = c - a - b;
  cout << (d > 0 && 4 * a * b < d * d ? "Yes" : "No") << endl;
}

### Prompt

Your task is to create 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;
using ll = long long;

int main() {
  ll a, b, c;
  cin >> a >> b >> c;
  ll d = c - a - b;
  cout << (d > 0 && 4 * a * b < d * d ? "Yes" : "No") << endl;
}

```