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In the Tower of Hanoi puzzle, suppose our goal is to transfer all disks from ...

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In the Tower of Hanoi puzzle, suppose our goal is to transfer all disks from peg 1 to peg 3, but we cannot move a disk directly between pegs 1 and 3. Each move of a disk must be a move involving peg 2. As usual, we cannot place a disk on top of a smaller disk. The number of moves required to solve the puzzle for 6 disks is:
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