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

int main() {
	
	int64_t a,b,c;
	cin >> a >> b >> c;
	
	int64_t d{};
	while(d*d <= 4*a*b){
		d++;
	}
	d--;
	cout << (c-a-b-d>0?"Yes":"No") << endl;
}

### Prompt

Generate 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() {
	
	int64_t a,b,c;
	cin >> a >> b >> c;
	
	int64_t d{};
	while(d*d <= 4*a*b){
		d++;
	}
	d--;
	cout << (c-a-b-d>0?"Yes":"No") << endl;
}

```