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 5E
Program Plan Intro
To write four procedures (
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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…
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
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))
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 a “superstack” data structure which supports four operations: create, push, pop, andsuperpop. The four operations are implemented using an underlying standard stack S as shownbelow.def create():S = Stack.create()def push(x):S.push(x)def pop():return S.pop()def superpop(k,A): // k is an integer, A is an array with size >= ki = 0while i < kA[i] = S.pop()i = i + 1Show that each of these operations uses a constant amortized number of stack operations. In yoursolution:• Define your potential function Φ.• State, for each operation, its actual time, the change in potential, and the amortized time.3. Suppose we add a superpush operation to the superstack from Problem 2. The superpush operationis defined as follows:def superpush(k,A): // k is an integer, A is an array with size >= ki = 0while i < kS.push(A[i])i = i + 1Is it still true that each of the superstack operations uses a constant amortized number of stackoperations? Answer YES or NO.• If your answer is YES, give an…arrow_forwardQ: Consider an empty stack STK of size 5 (array-based implementation). What will be the output after applying the following stack operations? Draw a diagram in support of your answer. How many elements are there in the stack at the end of the processing? POP(), PUSH(9), PUSH(11), PUSH(25), POP(), POP(), PUSH(42), POP(), PUSH(3), PUSH(7), PUSH(30), PUSH(15), PUSH(54),POP(), PUSH(50)arrow_forwardShow the results of the following sequence of events, by drawing the state of the data structure: 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: Stack [5] Queue [5]arrow_forward
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