#include <stdio.h>
#include <math.h>
int main(){
  int a,b,c;
  scanf("%d%d%d",&a,&b,&c);
  puts(a+2*sqrtl((long long)a*b)+b<c ? "Yes" : "No");
  }

### 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 <stdio.h>
#include <math.h>
int main(){
  int a,b,c;
  scanf("%d%d%d",&a,&b,&c);
  puts(a+2*sqrtl((long long)a*b)+b<c ? "Yes" : "No");
  }

```