#include<bits/stdc++.h>
using namespace std;
int main() {
	long double a,b,c;
	cin>>a>>b>>c;
	if(a+b+2.0*sqrt(a*b)<c){
		cout<<"Yes";
	}
	else{
		cout<<"No";
	} 
	return 0;
}

### Prompt

Your challenge is to write 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 a,b,c;
	cin>>a>>b>>c;
	if(a+b+2.0*sqrt(a*b)<c){
		cout<<"Yes";
	}
	else{
		cout<<"No";
	} 
	return 0;
}

```