#include <bits/stdc++.h>    
using namespace std;
int main()
{
  long long a,b,c,d;
  cin >>a >>b>>c;
  d=c-(a+b);
  if(d>0&&4*a*b<d*d){
    cout << "Yes";
  }else{
    cout << "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 <bits/stdc++.h>    
using namespace std;
int main()
{
  long long a,b,c,d;
  cin >>a >>b>>c;
  d=c-(a+b);
  if(d>0&&4*a*b<d*d){
    cout << "Yes";
  }else{
    cout << "No";
  }
}
```