TowerofHanoiwithAdjacencyRequirement:Supposethat

Chapter 5, Problem 5.220

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TowerofHanoiwithAdjacencyRequirement:Supposethat inadditiontotherequirementthattheynevermovealarger diskontopofasmallerone,thepriestswhomovethedisks of the Tower of Hanoi are also allowed only to move disks one by one from one pole to an adjacent pole. Assume poles A and C are at the two ends of the row and pole B is in the middle. Letan = the minimum number of moves needed to transfer a tower of n disks from pole A to pole C .a. Find a1,a2, anda3. b. Find a4. c. Find a recurrence relation for a1,a2,a3,... .

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