#include "bits/stdc++.h"
using namespace std;
int main(){
	long double a,b,c;
	cin >> a >> b >> c;
	if(((a+b-c)/2) < -1*sqrt(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 double a,b,c;
	cin >> a >> b >> c;
	if(((a+b-c)/2) < -1*sqrt(a*b)){
		cout << "Yes";
	}else{
		cout << "No";
	}
}

```