#include<cstdio>

long long a, b, c;

int main() {
  scanf("%lld %lld %lld", &a, &b, &c);
  if (c > a + b && (c - a - b)*(c - a - b) > 4*a*b) {
    printf("Yes\n");
  } else {
    printf("No\n");
  }
}

### Prompt

Construct a Cpp code solution to the problem outlined:

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<cstdio>

long long a, b, c;

int main() {
  scanf("%lld %lld %lld", &a, &b, &c);
  if (c > a + b && (c - a - b)*(c - a - b) > 4*a*b) {
    printf("Yes\n");
  } else {
    printf("No\n");
  }
}

```