#include<iostream>
int main(){long a,b,c;std::cin>>a>>b>>c;c-=a+b;a*=b;std::cout<<(4*a<c*c&&c>0?"Yes":"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>
int main(){long a,b,c;std::cin>>a>>b>>c;c-=a+b;a*=b;std::cout<<(4*a<c*c&&c>0?"Yes":"No");}
```