p02743 Panasonic Programming Contest 2020 - Sqrt Inequality
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
```python
a,b,c = map(int, input().split())

if 4*a*b < (c-a-b)**2 and c > a + b:
  print('Yes')
else:
  print('No')
```