Lesson 15 of 73 2 min

DSA Masterclass Module 6: Stack, Queue & Monotonic Stack

Master linear data structures with LIFO and FIFO properties. Learn how to recognize problems solvable with Stacks and Queues.

Introduction to Stacks and Queues

Stacks and Queues are linear data structures with strict rules on how data is added and removed.

  • Stack (LIFO): Last-In, First-Out. Think of a stack of plates. You add to the top and take from the top.
  • Queue (FIFO): First-In, First-Out. Think of a line at a grocery store. The first person in line is the first one served.

1. Real-World Intuition

  • Stack: The "Undo" button in your text editor. Every action is pushed onto a stack. When you hit undo, the last action is the first to be reversed.
  • Queue: A printer job queue. Documents are printed in the order they were sent.

2. Curriculum in this Module

  1. Theory & Intuition (Current Page)
  2. Problem: Valid Parentheses - The classic stack application.
  3. Problem: Next Greater Element - Introduction to monotonic logic.
  4. Lesson: Monotonic Stack Pattern - A deep dive into $O(n)$ neighbor comparisons.
  5. Curated Practice Problems - 10 essential challenges.

3. Java Implementation Snippets

Stack (using Deque)

Deque<Integer> stack = new ArrayDeque<>();
stack.push(1);
int val = stack.pop();

Queue

Queue<Integer> queue = new LinkedList<>();
queue.offer(1);
int val = queue.poll();

Final Takeaway

Stacks are your primary tool for Nested Logic and Backtracking. Queues are for Order Preservation and Level-order Traversals.

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