Someone

(a) *** **
(b) ** * *
(c) ** * *
(d) * ** *
States (b), (c), and (d) are equivalent for the purpose of playing the game. (b) and (c) are equivalent because the size of the gap between groups of adjacent bottles has no effect on the play of the game. (c) and (d) are equivalent because the ordering of the groups of bottles also has no effect.