#include<bits/stdc++.h>
using namespace std;
using ll=long long;
constexpr ll mod=1e9+7;

int main()
{
  long double a,b,c;
  cin>>a>>b>>c;
  cout<<((a+b+2*sqrtl(a*b)<c)?"Yes":"No");
}
### Prompt

Please provide a cpp coded solution to the problem described below:

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;
using ll=long long;
constexpr ll mod=1e9+7;

int main()
{
  long double a,b,c;
  cin>>a>>b>>c;
  cout<<((a+b+2*sqrtl(a*b)<c)?"Yes":"No");
}
```