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

int main() {
  ll a,b,c; cin >> a >> b >> c;
  ll d=c-a-b;
  if(d>0 && d*d>4*a*b) cout << "Yes" << endl;
  else cout << "No" << endl;

}

### Prompt

Create a solution in Cpp for 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;
typedef long long ll;

int main() {
  ll a,b,c; cin >> a >> b >> c;
  ll d=c-a-b;
  if(d>0 && d*d>4*a*b) cout << "Yes" << endl;
  else cout << "No" << endl;

}

```