#include<bits/stdc++.h>
using namespace std;
int main()
{
	long double a,b,c,d,e;
	cin>>a>>b>>c;
	e=-2*sqrt(a*b);
	d=a+b-c;
	if (d<e)
		cout<<"Yes";
	else
		cout<<"No";
	return 0;
}
### 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<bits/stdc++.h>
using namespace std;
int main()
{
	long double a,b,c,d,e;
	cin>>a>>b>>c;
	e=-2*sqrt(a*b);
	d=a+b-c;
	if (d<e)
		cout<<"Yes";
	else
		cout<<"No";
	return 0;
}
```