Let Q n be the minimum number of moves needed to transfer a tower of n disks from A to B if all… 1 answer below »

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Let Qn be the minimum number of moves needed to transfer a tower of n disks from A to B if all moves must be clockwise  – that is, from A to B, or from B to the other peg, or from the other peg to A. Also let Rn be the minimum number of moves needed to go from B back to A under this restriction. Prove that

(You need not solve these recurrences; we'll see how to do that in Chapter 7.)