#include<bits/stdc++.h>
using namespace std;
int main(){
	long double a,b,c;
	cin>>a>>b>>c;
	if(a+2.0*sqrt(a*b)+b<c)
	    cout<<"Yes";
	else 
	    cout<<"No";
	return 0;
}
### Prompt

Develop a solution in cpp 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;
int main(){
	long double a,b,c;
	cin>>a>>b>>c;
	if(a+2.0*sqrt(a*b)+b<c)
	    cout<<"Yes";
	else 
	    cout<<"No";
	return 0;
}
```