Here is the labeling of the 9 positions from before.
A B C D E F G H I
A-B-C-F-E-B-A-D-G-H-E-B-C-F-E-B-A-D-G-H-E-B-C-F-E-B-A-D-G-H-E-B-C-F-E-H-G-D-E-H-I
= short solution, gives 3 as final answer.
A-B-C-F-E-B-A-D-G-H-E-B-C-F-E-B-A-D-G-H-E-B-C-F-E-H-G-D-E-B-C-F-E-B-A-D-G-H-E-B-C-F-E-H-G-D-E-H-G-D-E-H-I
= long solution, gives 2 as final answer.