#include <bits/stdc++.h>
using namespace std;

int main() {

long long a,b,c,d,e;
cin >> a>>b>>c;
d=4*a*b;
e=c-a-b;
if(d<e*e&&e>0)
cout <<"Yes";
else
cout << "No";
return 0;
}
### 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
#include <bits/stdc++.h>
using namespace std;

int main() {

long long a,b,c,d,e;
cin >> a>>b>>c;
d=4*a*b;
e=c-a-b;
if(d<e*e&&e>0)
cout <<"Yes";
else
cout << "No";
return 0;
}
```