Introduction to Algorithms
Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 10.1, Problem 3E
Program Plan Intro

To model the given queue operations on an initially empty queue Q stored in array Q[1..6] as per figure 10.2 of the textbook.

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Starting with an empty Circul Queue, what will be the state of Circular Queue, front, rare, size and number of elements after each of the following operations performed in the order ( i ) enque(A) (ii) enque (B) (iii) enque (C) (iv) dequeue( ) (v) dequeue( ) (vi) enque(D) (vii) enque(E ) (viii) dequeue( )
Question A1 (a) Suppose that queue Q is initially empty. The following sequence of queue operations is executed: enqueue (5), dequeue (), enqueue (1), enqueue (3), isEmpty(), dequeue (), getRearElement(), dequeue(), enqueue (4). enqueue (8), getFrontElement(), enqueue (6), dequeue(), enqueue (9), enqueue (2), enqueue (7), (i) Write down the returned numbers (in order) of the above sequence of queue operations. (ii) Write down the values stored in the queue after all the above operations. (b) Suppose that stack S initially had 5 elements. Then, it executed a total of: 25 push operations R+5 peek operations 3 empty operations R+1 stack_size operations 15 pop operations The mentioned operations were NOT executed in order. After all the operations, it is found that R of the above pop operations raised Empty error message that were caught and ignored. What is the size of S after all these operations? R is the last digit of your student ID. E.g., Student ID is 20123453A, then R= 3. (c) Are…
4) Given that a queue is being represented by the following circular representation in an array (front is currently 4 and back is currently 7): array component: 0 1 2 4 5 6 7 8 | | | | 37 | 41 | 12 | 34 | | a) Show what this representation would like after the following sequence of operations are performed: deq(q, i); deq(q, j); enq(q, 81); enq(q, 72); enq(q, 38); deq(q, k); (indicate the current position of front and back for each operation) b) What is an advantage of this implementation of a queue? c) What is a disadvantage of this implementation of a queue?
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