The gameplay rules for the Tower of Hanoi are as follows:
Goal: Move all disks from one pillar to another, ensuring that, at every step, the following rules are strictly adhered to.
Rules:
1. Only one disk may be moved at a time.
2. A disk can only be placed on an empty pillar or atop a smaller disk; it must never be positioned on top of a larger disk—smaller disks must always rest above larger ones.
Steps (using the 3‑layer Tower of Hanoi as an example):
1. First, transfer the two smallest disks from the starting pillar to the auxiliary pillar, using the target pillar as an intermediate staging area.
2. Next, move the largest disk from the starting pillar to the target pillar.
3. Finally, relocate the two disks from the auxiliary pillar to the target pillar, with the starting pillar serving as the transfer point.
Notes:
1. When moving disks, it is crucial to follow the aforementioned rules without exception; failure to do so will result in an invalid game state and prevent further progress.
2. The Tower of Hanoi demands patience and strategic thinking—each additional disk exponentially increases the number of moves required to complete the puzzle.
The Tower of Hanoi is both a captivating and intellectually stimulating puzzle game, perfectly designed to hone players’ logical reasoning and problem‑solving skills.

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