#include <bits/stdc++.h>
using namespace std;
 


int main() {

  long double a,b,c;
  cin>>a>>b>>c;


  if(sqrt(a*b)<(c-a-b)/2)
    cout<<"Yes"<<endl;  
  else
    cout<<"No"<<endl;
  
  return 0;
}


### 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;
 


int main() {

  long double a,b,c;
  cin>>a>>b>>c;


  if(sqrt(a*b)<(c-a-b)/2)
    cout<<"Yes"<<endl;  
  else
    cout<<"No"<<endl;
  
  return 0;
}


```