#include<iostream>
#include<cmath>
using namespace std;
int main(){
	long long int a,b,c,d,e;
	cin>>a>>b>>c;
	d=4*a*b;
	e=(c-(a+b))*(c-(a+b));
	if(c<=a+b||e<=d){
		cout<<"No";
	}
	else cout<<"Yes";
}
### 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<iostream>
#include<cmath>
using namespace std;
int main(){
	long long int a,b,c,d,e;
	cin>>a>>b>>c;
	d=4*a*b;
	e=(c-(a+b))*(c-(a+b));
	if(c<=a+b||e<=d){
		cout<<"No";
	}
	else cout<<"Yes";
}
```