We analyze the classic board game of Mastermind with n holes and a constant
number of colors. A result of Chv\'atal (Combinatorica 3 (1983), 325-329)
states that the codebreaker can find the secret code with Θ(n/logn)
questions. We show that this bound remains valid if the codebreaker may only
store a constant number of guesses and answers. In addition to an intrinsic
interest in this question, our result also disproves a conjecture of Droste,
Jansen, and Wegener (Theory of Computing Systems 39 (2006), 525-544) on the
memory-restricted black-box complexity of the OneMax function class.Comment: 23 page