Welcome to Heap Sort

Heap Sort is an efficient, in-place sorting algorithm that uses a binary heap data structure. It guarantees O(n log n) time complexity and only uses O(1) extra space.

What You’ll Learn

By the end of this tutorial, you’ll be able to:

• ✅ Explain heap sort and how it uses heaps
• ✅ Understand binary heaps and heap properties
• ✅ Master heapify operation
• ✅ Implement heap sort efficiently
• ✅ Analyze performance and understand complexity

Tutorial Structure

This tutorial is divided into 7 interactive pages (about 30 minutes):

1. Introduction (4 min) - What is heap sort and why it’s efficient
2. Binary Heaps (5 min) - Understanding heap data structure
3. Heapify Operation (6 min) - Maintaining heap property
4. Visualization (4 min) - See it in action
5. Implementation (5 min) - Code it yourself
6. Complexity & Analysis (4 min) - Performance analysis
7. Practice & Quiz (2 min) - Test your knowledge

Interactive Features

Throughout this tutorial, you’ll use:

• 🎬 Animated Visualizations - Watch heap sort step-by-step
• 🎯 Interactive Heap Builders - Build heaps yourself
• 📊 Animated Diagrams - See heapify in action
• ✅ Knowledge Checks - Test your understanding
• 💻 Code Examples - Run and modify code

Prerequisites

Before starting, you should have:

• Basic understanding of arrays and trees
• Familiarity with binary heaps
• Understanding of time complexity

Don’t worry if you’re not an expert - we’ll explain concepts as we go.

Estimated Time

⏱️ 30 minutes to complete all 7 pages

You can take breaks between pages and resume anytime. Your progress will be tracked as you navigate through the tutorial.

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What is Heap Sort?

Quick Preview: Heap Sort builds a max heap from the array, then repeatedly extracts the maximum element and places it at the end. It’s an in-place algorithm with guaranteed O(n log n) performance.

Why it matters: Heap Sort combines the best of both worlds: O(n log n) guaranteed performance like merge sort, and O(1) space like quicksort. It’s used when you need reliable, in-place sorting.

Ready to start? Click the button above to begin!