Label the canisters left to right 1 through 5, then turn them in this order, sliding the rack to bring the canister you're turning to the circular position where canister 5 is when you start:
5-3-5-4-5
1-5-4-5-3-5
4-5-2-5-4
5-3-5-4-5
Now grab the whole rack and whiz them to the far right -- then save your game, because you do NOT want to have to do this again.