You should randomize over all available hiding spots so that the probability of putting the coin in some spot is proportional to the effort needed to search that spot. This way future you won’t have any preferred place to start. I think this strategy maximizes the expected effort spent by future you, assuming he knows your strategy and acts optimally.
You should randomize over all available hiding spots so that the probability of putting the coin in some spot is proportional to the effort needed to search that spot. This way future you won’t have any preferred place to start. I think this strategy maximizes the expected effort spent by future you, assuming he knows your strategy and acts optimally.