C How to Program (8th Edition)
C How to Program (8th Edition)
8th Edition
ISBN: 9780133976892
Author: Paul J. Deitel, Harvey Deitel
Publisher: PEARSON
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Chapter 7, Problem 7.18E

(Card Shuffling and Dealing Modification) Modify the card shuffling and dealing program of Fig. 7.24 so the shuffling and dealing operations are performed by the same function (shuffleAndDeal). The function should contain one nested looping structure that’s similar to function shuffle in Fig. 7.24.

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(Recursive Exponentiation) Write a recursive function power(base, exponent) that wheninvoked returnsbaseexponentFor example, power(3, 4) = 3 * 3 * 3 * 3. Assume that exponent is an integer greater than or equalto 1. Hint: The recursion step would use the relationshipbaseexponent = base * baseexponent–1and the terminating condition occurs when exponent is equal to 1 becausebase1 = base
2, Towers of Hanoi Problem. (10 points) The Towers of Hanoi is a famous problem for studying recursion in computer science and searching in artificial intelligence. We start with N discs of varying sizes on a peg (stacked in order according to size), and two empty pegs. We are allowed to move a disc from one peg to another, but we are never allowed to move a larger disc on top of a smaller disc. The goal is to move all the discs to the rightmost peg (see figure). To solve the problem by using search methods, we need first formulate the problem. Supposing there are K pegs and N disk. Answer the following questions. (1) Determine a state representation for this problem. (4points) (2) What is the size of the state space? (3 points) (3) Supposing K=3, N=4, what is the start state by using your proposed state representation method and what is the goal state? (3 points)
14. (7 points) Write a recursive function count_odds(Ist) which takes as parameter a list of numbers (1st) and counts the odd numbers in it. Example: >>> count_odds ([2, 5, 7, 6, 4]) 2

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