#include <iostream>
using namespace std;
int main(void){
    long long a, b, c, d;
    cin >> a >> b >> c;
    d = c-a-b;
    if(d >= 0 && 4*a*b < d*d) puts("Yes");
    else puts("No");
}

### Prompt

Your challenge is to write 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;
int main(void){
    long long a, b, c, d;
    cin >> a >> b >> c;
    d = c-a-b;
    if(d >= 0 && 4*a*b < d*d) puts("Yes");
    else puts("No");
}

```