#include <iostream>
using namespace std;

int main(void){
    long long a,b,c;
    cin>>a>>b>>c;
    if(c>a+b && (c-a-b)*(c-a-b)>4*a*b) cout<<"Yes"<<endl;
    else cout<<"No"<<endl;
}
### 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 <iostream>
using namespace std;

int main(void){
    long long a,b,c;
    cin>>a>>b>>c;
    if(c>a+b && (c-a-b)*(c-a-b)>4*a*b) cout<<"Yes"<<endl;
    else cout<<"No"<<endl;
}
```