#include<bits/stdc++.h>
int main() {
    long double a, b, c;
    std::cin >> a >> b >> c;
    puts(((c - a - b) * (c - a - b) <= 4 * a * b) || (c < a + b) ? "No" : "Yes");
    return 0;
}
### Prompt

Generate 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<bits/stdc++.h>
int main() {
    long double a, b, c;
    std::cin >> a >> b >> c;
    puts(((c - a - b) * (c - a - b) <= 4 * a * b) || (c < a + b) ? "No" : "Yes");
    return 0;
}
```