#include<bits/stdc++.h>
using namespace std;
int main(){
  long double a,b,c;
  cin>>a>>b>>c;
  if(a+b+2*sqrt(a*b)<c)
    cout<<"Yes"<<endl;
  else
    cout<<"No"<<endl;
}
### 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<bits/stdc++.h>
using namespace std;
int main(){
  long double a,b,c;
  cin>>a>>b>>c;
  if(a+b+2*sqrt(a*b)<c)
    cout<<"Yes"<<endl;
  else
    cout<<"No"<<endl;
}
```