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

### Prompt

In Cpp, your task is to solve 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;
  cin>>a>>b>>c;
  
  if(a + b + 2*sqrt(a)*sqrt(b) < c)
    cout<<"Yes";
  else
    cout<<"No";
 
  return 0;
}

```