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💡 Quick Sort Algorithm || Space Complexity Derivation for Best, Average, and Worst Case 💡

In this video, we explore the space complexity of the Quick Sort algorithm across its best, average, and worst cases. 📊 Quick Sort is famous for its in-place sorting, but how much memory does it actually use? We'll break it down for each case, from the best-case scenario to the worst, and give you a detailed understanding of the space requirements for this algorithm. 🧠

Here's what we’ll cover:

Quick Sort Recap: A brief refresher on how Quick Sort works and why it's efficient.
Space Complexity Analysis: Understanding the space used by Quick Sort, including recursion stack space.
Best Case: How Quick Sort performs when it consistently picks optimal pivots.
Average Case: The typical space complexity when pivots are chosen randomly or near optimally.
Worst Case: How Quick Sort’s space complexity suffers when it picks bad pivots (e.g., sorted or reverse-sorted data).
Visual Breakdown: Step-by-step illustrations showing how recursive calls affect space usage.
By the end of this video, you'll know exactly how Quick Sort uses memory in different scenarios and why understanding space complexity is essential for optimizing algorithms. Don’t miss this key concept in algorithm analysis! 🚀

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Summary of Topics Covered:

Recap of Quick Sort and its in-place sorting mechanism.
Detailed space complexity analysis of Quick Sort in the best, average, and worst cases.
Understanding the impact of recursion and pivot selection on memory usage.
Visual walkthrough of how space complexity changes with different inputs.
By the end of this video, you'll have a clear understanding of Quick Sort's space complexity across all cases, helping you optimize algorithms and choose the right sorting method. 🌟

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