CF55A Flea travel

Description

A flea is sitting at one of the $ n $ hassocks, arranged in a circle, at the moment. After minute number $ k $ the flea jumps through $ k-1 $ hassoсks (clockwise). For example, after the first minute the flea jumps to the neighboring hassock. You should answer: will the flea visit all the hassocks or not. We assume that flea has infinitely much time for this jumping.

Input Format

The only line contains single integer: $ 1

Output Format

Output "YES" if all the hassocks will be visited and "NO" otherwise.