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

int main()
{
  int64_t a, b, c;
  cin >> a >> b >> c;
  int64_t x = c - a - b;
  cout << (a + b < c and 4 * a * b < x * x ? "Yes" : "No") << endl;
}

### 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()
{
  int64_t a, b, c;
  cin >> a >> b >> c;
  int64_t x = c - a - b;
  cout << (a + b < c and 4 * a * b < x * x ? "Yes" : "No") << endl;
}

```