 #include<bits/stdc++.h>

using namespace std;

int main(){
 long long int a,b,c;
 cin >> a >> b >> c;

 if((c - b - a) * (c - b - a) > 4 * a * b && c > a + b) cout << "Yes";
 else cout << "No";
}




### 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 long int a,b,c;
 cin >> a >> b >> c;

 if((c - b - a) * (c - b - a) > 4 * a * b && c > a + b) cout << "Yes";
 else cout << "No";
}




```