#include <bits/stdc++.h>
#define lb long double
using namespace std;
lb a , b , c;
int main()
{
	cin >> a >> b >> c;
	a + b + 2 * sqrt(a * b) < c ? cout << "Yes" : cout << "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>
#define lb long double
using namespace std;
lb a , b , c;
int main()
{
	cin >> a >> b >> c;
	a + b + 2 * sqrt(a * b) < c ? cout << "Yes" : cout << "No";
  	return 0;
}

```