A beautiful logic puzzle that I found on Gurmeet’s puzzle collection, which he has attributed originally to K Rustan M Leino at Microsoft Research.
Consider five holes in a line. One of them is occupied by a fox. Each night, the fox moves to a neighboring hole, either to the left or to the right. Each morning, you get to inspect a hole of your choice. What strategy would ensure that the fox is eventually caught?
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Happy hide and seek with the fox!