#P55A. Flea travel

    ID: 2028 Type: RemoteJudge 1000ms 256MiB Tried: 0 Accepted: 0 Difficulty: (None) Uploaded By: Tags>implementationmath*1200

Flea travel

No submission language available for this problem.

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.

The only line contains single integer: 1 ≤ n ≤ 1000 — number of hassocks.

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

Input

The only line contains single integer: 1 ≤ n ≤ 1000 — number of hassocks.

Output

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

Samples

1

YES

3

NO