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Understanding Stacks: Concepts and Operations

Sep 9, 2024

Introduction to Stacks

Overview

  • Starting a new chapter on stacks.
  • Presentation outline:
    • Definition of stack
    • Real-life examples of stacks
    • Stack as an Abstract Data Type (ADT)
    • Stack operations (primary and secondary)

Definition of Stack

  • A stack is a linear data structure.
  • Insertions and deletions are allowed only at one end called the "top" of the stack.
  • Comparison with arrays and linked lists:
    • In arrays and linked lists, insertions and deletions can be done anywhere.
    • In stacks, operations are restricted to the top.

Real-life Examples of Stacks

  • Stack of Books:
    • Books can only be placed or removed from the top.
  • Stack of Coins:
    • Coins are also accessed from the top.
  • Visualize the stack as a glass jar:
    • Objects are placed in a closed jar, accessible only from the top.

Stack as Abstract Data Type (ADT)

  • Focus on operations from the user's perspective.
  • Users are not concerned with implementation details.
  • Key point: Understanding types of operations that can be performed on the stack.

Stack Operations

Primary Operations

  1. Push Operation:
    • Inserts data onto the stack.
    • Example: Adding an item to the top of the stack.
  2. Pop Operation:
    • Deletes the last inserted element from the stack.
    • Example: Removing the top item from the stack.

Secondary Operations

  1. Top Operation:
    • Returns the last inserted element without removing it.
  2. Size Operation:
    • Returns the number of elements in the stack.
  3. isEmpty Function:
    • Returns true if the stack is empty; otherwise, false.
  4. isFull Function:
    • Returns true if the stack is full; otherwise, false.

Example Commands

  1. Push one: Insert element "1" into the stack.
  2. Push two: Insert element "2" into the stack.
  3. Push three: Insert element "3" into the stack.
  4. Pop: Remove the topmost element from the stack.
  5. isFull: Check if the stack is full.

Conclusion

  • Successfully covered the introduction to stacks.
  • Next presentation will continue with further details.