#include<iostream>
#include<cmath>
using namespace std;
 
int main(){
  long double a,b,c,eps=1.0E-14;
  cin>>a>>b>>c;
  
  if(sqrt(a)+sqrt(b)+eps<sqrt(c)){cout<<"Yes";}
  else{cout<<"No";}
}
### Prompt

Create a solution in CPP for 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>
#include<cmath>
using namespace std;
 
int main(){
  long double a,b,c,eps=1.0E-14;
  cin>>a>>b>>c;
  
  if(sqrt(a)+sqrt(b)+eps<sqrt(c)){cout<<"Yes";}
  else{cout<<"No";}
}
```