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)
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter18: Stacks And Queues
Section: Chapter Questions
Problem 3PE
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