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

### Prompt

Your task is to create 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;
  cin>>a>>b>>c;
 if(a*a+b*b+c*c-2*a*b-2*b*c-2*c*a>0&&c-a-b>0){
cout<<"Yes"<<endl;
 }
else{
cout<<"No"<<endl;
}
  return 0;
}

```