// C - Sqrt Inequality
#include <bits/stdc++.h>
using namespace std;

int main(){
	long long a,b,c,d; cin>>a>>b>>c;
	d = c - a - b;
	cout<< (d>0 && 4*a*b<d*d? "Yes":"No") <<endl;
}
### Prompt

Generate 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
// C - Sqrt Inequality
#include <bits/stdc++.h>
using namespace std;

int main(){
	long long a,b,c,d; cin>>a>>b>>c;
	d = c - a - b;
	cout<< (d>0 && 4*a*b<d*d? "Yes":"No") <<endl;
}
```