#include <bits/stdc++.h>
using namespace std;
const int mod = 1000000007;

int main() {
	long double A, B, C;
	cin >> A>> B>> C;
	if (2 * sqrt(A * B) < C - A - B)cout << "Yes";
	else cout << "No";
}
### 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;
const int mod = 1000000007;

int main() {
	long double A, B, C;
	cin >> A>> B>> C;
	if (2 * sqrt(A * B) < C - A - B)cout << "Yes";
	else cout << "No";
}
```