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

int main(){
	long double n, m, sum;
	cin >> n >> m >> sum;
	
	if(n+m+2.0*sqrt(n*m)<sum){
		cout << "Yes";
	}
	else{
		cout << "No";
	}
	
	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 double n, m, sum;
	cin >> n >> m >> sum;
	
	if(n+m+2.0*sqrt(n*m)<sum){
		cout << "Yes";
	}
	else{
		cout << "No";
	}
	
	return 0;
}
```