#include<bits/stdc++.h>
using namespace std;
int main() {
	int a, b, c;
	cin >> a >> b >> c;
	if(c-a-b<0) return cout << "No", 0;
	cout << (4ll*a*b < (c-a-b)*1ll*(c-a-b) ? "Yes" : "No");
}

### 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<bits/stdc++.h>
using namespace std;
int main() {
	int a, b, c;
	cin >> a >> b >> c;
	if(c-a-b<0) return cout << "No", 0;
	cout << (4ll*a*b < (c-a-b)*1ll*(c-a-b) ? "Yes" : "No");
}

```