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


int main(){
    int64_t a,b,c;
    cin>>a>>b>>c;
    int64_t x = c-a-b;
    if(x>0 and x*x>4*a*b)cout<<"Yes"<<endl;
    else cout<<"No"<<endl;
}



### Prompt

Develop a solution in CPP to the problem described below:

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 x = c-a-b;
    if(x>0 and x*x>4*a*b)cout<<"Yes"<<endl;
    else cout<<"No"<<endl;
}



```