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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illustrate the queue content after every operation in each of the following sequences. Determine the output of each sequence. assume a circular array representation.
q2 = new (queue,4)
enqueue(q2, 15)
enqueue(q2, 28)
print(dequeue(q2))
enqueue(q2, 31)
print(peek(q2))
print(dequeue(q2))
print(dequeue(q2))
enqueue(q2, 47)
print(peek(q2))
enqueue(q2, 54)
print(dequeue(q2))
enqueue(q2, 66)
clear(q2)
enqueue(q2, 79)
print(dequeue(q2))
Combine the STAQUE abstract data type, a linked stack, and a linked queue. Create procedures for insert and delete operations, PUSHINS and POPDEL, on a non-empty STAQUE.PUSHINS adds an element to the top or rear of the STAQUE, whereas POPDEL removes items from the top or front of the list, according on a directive supplied to the process.
illustrate the queue content after every operation in each of the following sequences. Determine the output of each sequence. assume a circular array representation.
Example:
q1 = new (queue,4
enqueue(q1, 'J')
enqueue(q1, 'K')
enqueue(q1, 'L')
print(dequeue(q1))
enqueue(q1, 'M')
print(dequeue(q1))
enqueue(q1, 'N')
enqueue(q1, 'P')
print(dequeue(q1))
print(dequeue(q1))
enqueue(q1, 'Q')
print(dequeue(q1))
enqueue(q1, 'R')
print(dequeue(q1))
print(dequeue(q1))
Answer: (see attached file)
Output:
J
K
L
M
N
P
Q
Chapter 10 Solutions
Introduction to Algorithms
Ch. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.2 - Prob. 1ECh. 10.2 - Prob. 2ECh. 10.2 - Prob. 3E
Ch. 10.2 - Prob. 4ECh. 10.2 - Prob. 5ECh. 10.2 - Prob. 6ECh. 10.2 - Prob. 7ECh. 10.2 - Prob. 8ECh. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.4 - Prob. 1ECh. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10 - Prob. 1PCh. 10 - Prob. 2PCh. 10 - Prob. 3P
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- Consider the current elements and its indexes in the queue of size 15: {index[00]=102, index[01]=165, index[02]=115, index[03]=384, index[04]=248, index[05]=111}, draw a table (like shown below) the sequence of elements using the operations listed from number 1 to 26 using the queue approach (A) - in shifting the elements one position forward every time an element is deleted. The following are the description of other operations to be used that would result in a QUEUE that contains the elements. IsTopValue – returns the value at the TOP of the queue. IsRearValue – returns the value at the REAR of the queue. IsTopIndex – returns the index of the value at the TOP of the queue. IsRearIndex – returns the index of the value at the REAR of the queue. IsIndexOf – returns the index of the specific value. IsValueOf – returns the value of the specific index. Insert (Q, 12) Dequeue (Q) Dequeue (Q) Insert (Q, 65) Insert (Q, 100) Insert (Q, 43) Dequeue (Q) IsTopValue (Q) Insert (Q, 61) Dequeue…arrow_forwardA priority queue is implemented as a linked list, sorted from largest to smallest element. a. How would the definition of PQType change? b. Write the Enqueue operation, using this implementation. c. Write the Dequeue operation, using this implementation. d. Compare the Enqueue and Dequeue operations to those for the heap implementation, in terms of Big-O notation.arrow_forwardConstruct a priority queue using a heapordered binary tree, but instead of an array, use a triply linked structure. Each node will require three links: two to go down the tree and one to traverse up the tree. Even if no maximum priority-queue size is specified ahead of time, your solution should ensure logarithmic running time per operation.arrow_forward
- Suppose an initially empty queue Q has performed a total of 32 enqueue operations, 10 first operations, and 15 dequeue operations, 5 of which returned null to indicate an empty queue. What is the current size of Q?arrow_forwardChoose two fundamental function signatures used in queue implementation, in which each node keeps an integer data. enqueue(int), dequeue(int, int) dequeue(int), remove (int) enqueue(int), dequeue(int) enqueue(int, int), dequeue(int) enqueue(int), dequeue( )arrow_forwardGiven a max-priority queue A = <8, 5, 7, 3, 2, 4, 1>, consider calling Max-Heap-Insert(A, 6). Note: Array index starts from 1. (1) What will be the resulting max-priority queue A? Please write your answer as a sequence of numbers separated by ", ". For example: 1, 2, 3, 4, 5, 6, 7, 8arrow_forward
- Define a min-max queue IN PSEUDOCODE to be a data structure that supports the queue operations of enqueue () and dequeue () for objects that come from a total order, as well as operations min () and max (), which return, but do not delete the minimum or maximum element in the min-max queue, respectively. Describe an implementation for a min-max queue that can perform each of these operations in amortized O (1) time.arrow_forwardUse a triply linked structure as opposed to an array for implementing a priority queue using a heapordered binary tree. Each node will require three links: two to move up the tree and one to move down it. Even if the maximum size of the priority queue is unknown at the outset, your solution should nonetheless provide logarithmic running times for each operation.arrow_forwardExplain why a queue exhibits first-in/first-out (FIFO) behavior. Illustrate your answer using an example.arrow_forward
- Q) Show the results of the following sequence of events, by drawing the state of the datastructure:add(4), add(8), add(1), add(6), remove(), remove()where add and remove are the operations that correspond to the basic operations in a:(a) Stack [5](b) Queue [5]arrow_forwardq7) In which of the following Queue insertion and deletion can be done from both the ends. a. Circular Queue b. Linear Queue c. Priority Queue d. Double Ended Queuearrow_forwardSuppose an initially empty queue, Q, has performed a total of 68 enqueue() operations, 20 peek() operations, and 13 dequeue() operations, 5 of which returned null to indicate an empty queue. What is the current size of Q?arrow_forward
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