You can actually select spots not adjacent to the current one.

Consider the "spots" labeled in rows from left to right as 1 2 3, 4 5 6, and 7 8 9.

If I start at 1, I can go to 2, 4, 5, 6, and 8 directly. Also, if I have used all spots except 1 and 9, I can go to 1 then directly to 9.