Analyze the asymptotic number of moves your algorithm

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Reference no: EM132175747

In a variant of the Towers of Hanoi puzzle, the three towers are labeled 0, 1, and 2, respectively. You are only allowed to move disks from a tower labeled i to the next one labeled (i + 1) mod 3.

You can imagine the towers as being arranged in a circular fashion, in which case, the constraint says that you can only move disks in an anti-clockwise manner.

So, for example, in order to move a disk from tower 0 to tower 2, you would have to first move it to tower 1, if both 0 ? 1 and 1 ? 2 are legal moves, and this sequence would cost two moves instead of just one.

(a) Develop a divide and conquer algorithm for moving n disks from tower 0 to tower 2.

(b) Analyze the asymptotic number of moves your algorithm makes.

Reference no: EM132175747

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