This is a 9x9 grid, with a sign in the center cell like shown. You can add signs to this grid one at a time following these rules:
- Each sign placed must point to the next sign placed
- Placed signs become obstacles, so future signs cannot point through them
- Every new sign turns right (90 deg clockwise of last sign)
- An older sign may not become blocked by newer signs
What is the maximum number of signs you can place on this grid?
For sake of clarity, if you would like to answer this question, please use this numbered notation. It's easier to understand.
Sorry if this puzzle is a little open-ended. I think I have the maximum but I've been wrong before, and that was just today.