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


int main()
{
	long double a, b, c;
	cin >> a >> b >> c;
	if(a + b + 2*(sqrtl(a)*sqrtl(b)) < c)	puts("Yes");
	else	puts("No");
	return 0;
}

### Prompt

Please create a solution in cpp 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*(sqrtl(a)*sqrtl(b)) < c)	puts("Yes");
	else	puts("No");
	return 0;
}

```