Inspired by PuyaSharif's conundrum, I find myself continually faced with the opposite problem, which is identical to the original except in the bold-faced sentences:
You are given the following information:
Your task is to hide a coin in your house (or any familiar finite environment).
After you've hidden the coin your memory will be erased and restored to a state just before you receiving this information.
Then you will be told about the task (i.e that you have hidden a coin), and asked to try to find the coin.
If you find it you win. The faster you find it, the better you win.
Where do you leave the coin so that when you have no memory of where you put it, you can lay your hands on it at once?
For just one coin, you might think up some suitable Schelling point, but now multiply the task a thousandfold, for all of your possessions. (I am not a minimalist; of books alone I have 3500.) How do you arrange all your stuff, all your life, in such a way that everything is exactly where you would first think of looking for it?
Solved in 1876. :)
I'm sure variants of this can be used for other objects. For general-purpose living I've found that simply keeping a tidy living space helps immensely. I throw things out often.
There's a a mismatch between the scenario as stated and the implied problem we want to solve. Just talking about solving the problem for one item, instead of all your items, doesn't get to the purpose most people have. That's the goal, right? To be able to maximize the likelihood of finding what you want when you want it?
People have been picking at the discrepancy with solutions to the "one coin problem". The solution below of taping it to your hand is then a wonderful solution, but not really what the original post was after, because of the scen... (read more)