Answer: The Tower of Hanoi. This is a game with three pegs and n disks (largest on the
Chapter 12, Problem 28(choose chapter or problem)
The Tower of Hanoi. This is a game with three pegs and n disks (largest on the bottom and smallest on the top). The goal is to move this entire tower of disks to another peg (in the same order). The challenge is that you may move only one disk at a time, and at no time can a larger disk be resting on a smaller disk. You may want to rst go online to www.mazeworks.com/hanoi/index/htm and play the game.What is the smallest number of moves needed if there are n disks? Prove it by mathematical induction
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