#include<bits/stdc++.h>
#define int long long
using namespace std;
signed main(){
  long double A,B,C;
  cin>>A>>B>>C;
  cout<<(A+B+2*sqrt(A*B)<C?"Yes":"No")<<endl;
}
### Prompt

Please formulate 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>
#define int long long
using namespace std;
signed main(){
  long double A,B,C;
  cin>>A>>B>>C;
  cout<<(A+B+2*sqrt(A*B)<C?"Yes":"No")<<endl;
}
```