Explanation Given information: R ( n ) − R ( n − 1 ) . Calculation: . R ( n ) is the number of moves used by frame stewart algorithm to solve the Reve’s puzzle withndisk wherekis chosen to be the smallest with n ≤ k ( k + 1 ) 2 . When we have 0 disk then we require no moves to solve the puzzle with 0 disk, R ( 0 ) = 0 . When we have 1 disk then we require 1 move to solve the puzzle with 1 disk, R ( 1 ) = 1 . When we move k largest disk it can be done in at least 2 k − 1 moves When we have n − k smallest disk then we require R ( n − k ) moves, R ( n ) = R ( n − k ) + 2 k − 1 + R ( n − k ) = 2 R ( n − k ) + 2 k − 1

8th Edition

ISBN: 9781265370749

Author: ROSEN

Publisher: MCG

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Chapter 8.1, Problem 42E

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R(n)−R(n−1)=2k−1

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Chapter 8.1, Problem 41E

Chapter 8.1, Problem 43E

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