6.1.1 The Stack Abstract Data Type Stacks are the simplest of all data structures, yet they are also among the most important, as they are used in a host of different applications, and as a tool for many more sophisticated data structures and algorithms. Formally, a stack is an abstract data type (ADT) that supports the following two update methods: push(e): Adds element e to the top of the stack. pop(): Removes and returns the top element from the stack (or null if the stack is empty). Additionally, a stack supports the following accessor methods for convenience: top(): Returns the top element of the stack, without removing it (or null if the stack is empty). size(): Returns the number of elements in the stack. isEmpty(): Returns a boolean indicating whether the stack is empty. By convention, we assume that elements added to the stack can have arbitrary type and that a newly created stack is empty. Example 6.3: The following table shows a series of stack operations and their effects on an initially empty stack S of integers. Method push(5) push(3) size() pop() isEmpty() pop() isEmpty() pop() push(7) push(9) top() push(4) size() pop() push(6) push(8) pop() Return Value Stack Contents (5) (5,3) W NI 2 3 false 5 true null 9 1341 | 00 8 (5,3) (5) (7,9) (7,9) (7,9, 4) (7, 9, 4) (7,9) (7,9,6) (7, 9, 6, 8) (7,9,6)
6.1.1 The Stack Abstract Data Type Stacks are the simplest of all data structures, yet they are also among the most important, as they are used in a host of different applications, and as a tool for many more sophisticated data structures and algorithms. Formally, a stack is an abstract data type (ADT) that supports the following two update methods: push(e): Adds element e to the top of the stack. pop(): Removes and returns the top element from the stack (or null if the stack is empty). Additionally, a stack supports the following accessor methods for convenience: top(): Returns the top element of the stack, without removing it (or null if the stack is empty). size(): Returns the number of elements in the stack. isEmpty(): Returns a boolean indicating whether the stack is empty. By convention, we assume that elements added to the stack can have arbitrary type and that a newly created stack is empty. Example 6.3: The following table shows a series of stack operations and their effects on an initially empty stack S of integers. Method push(5) push(3) size() pop() isEmpty() pop() isEmpty() pop() push(7) push(9) top() push(4) size() pop() push(6) push(8) pop() Return Value Stack Contents (5) (5,3) W NI 2 3 false 5 true null 9 1341 | 00 8 (5,3) (5) (7,9) (7,9) (7,9, 4) (7, 9, 4) (7,9) (7,9,6) (7, 9, 6, 8) (7,9,6)
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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
Transcribed Image Text:1 Chapter 6 Stacks, Queues, and Deques
On Page 227, Section 6.1.1, use array or linked list to implement the Stack Abstract Data Type.
That means implementing all the 5 functions and run your codes on Example 6.3. Your program
should print out that table in Example 6.3.

Transcribed Image Text:6.1.1 The Stack Abstract Data Type
Stacks are the simplest of all data structures, yet they are also among the most
important, as they are used in a host of different applications, and as a tool for
many more sophisticated data structures and algorithms. Formally, a stack is an
abstract data type (ADT) that supports the following two update methods:
push(e): Adds element e to the top of the stack.
pop(): Removes and returns the top element from the stack
(or null if the stack is empty).
Additionally, a stack supports the following accessor methods for convenience:
top(): Returns the top element of the stack, without removing it
(or null if the stack is empty).
size(): Returns the number of elements in the stack.
isEmpty(): Returns a boolean indicating whether the stack is empty.
By convention, we assume that elements added to the stack can have arbitrary type
and that a newly created stack is empty.
Example 6.3: The following table shows a series of stack operations and their
effects on an initially empty stack S of integers.
Method
push(5)
push (3)
size()
pop()
isEmpty()
pop()
isEmpty()
pop()
push (7)
push(9)
top()
push(4)
size()
pop()
push(6)
push(8)
pop()
Return Value Stack Contents
(5)
(5, 3)
(5,3)
(5)
2
WN
3
false
5
true
null
|||3|| 00
4
8
(7)
(7,9)
(7,9)
(7, 9, 4)
(7, 9, 4)
(7,9)
(7, 9, 6)
(7, 9, 6, 8)
(7, 9, 6)
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