Going from separate to alternating:
PPPBBB 0: Beginning PBBBPP 1: Slide first two P's to other end. PBB PBP 2: Slide last BP pair around last P. BPBPBP 3: Slide initial PB into slot, DONE.
Now that you've solved that puzzle, how many moves will it take you to transform "PPPPBBBB" into "BPBPBPBP"?
I give up, show me the solution.
Back to Pick A Pair of Packets.
You can see another version of this puzzle called Poker Chip Swap.