#include <iostream>
using namespace std;

int main()
{
long long int a,b,c;
cin>>a>>b>>c;
if(c-a-b<=0)cout <<"No";
else if((c-a-b)*(c-a-b)>4*a*b)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 <iostream>
using namespace std;

int main()
{
long long int a,b,c;
cin>>a>>b>>c;
if(c-a-b<=0)cout <<"No";
else if((c-a-b)*(c-a-b)>4*a*b)cout <<"Yes";
else cout <<"No";
    
}
```