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

int main(){
  int64_t a,b,c;
  cin >> a >> b >> c;
  int64_t n=c-a-b;
  bool ans=(n>0&&4*a*b<n*n);
  cout << (ans?"Yes":"No") << endl;
  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(){
  int64_t a,b,c;
  cin >> a >> b >> c;
  int64_t n=c-a-b;
  bool ans=(n>0&&4*a*b<n*n);
  cout << (ans?"Yes":"No") << endl;
  return 0;
}


```