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README.md

⚡ Quick Sort Algorithm

📋 Overview

This repository contains a clean and efficient implementation of QuickSort, one of the fastest and most widely used comparison-based sorting algorithms. Developed by Tony Hoare in 1959, QuickSort is a divide-and-conquer algorithm that works by selecting a "pivot" element and partitioning the array around it, then recursively sorting the subarrays.

Key strengths:

  • Excellent average-case performance: O(n log n)
  • In-place sorting (minimal extra memory)
  • Highly efficient for large datasets
  • Cache-efficient due to locality of reference

📊 Time & Space Complexity

Case Time Complexity Notes
Best Case O(n log n) Balanced partitions (randomized pivot helps)
Average Case O(n log n) Random or typical data
Worst Case O(n²) Already sorted/reverse + poor pivot choice
Space Complexity O(log n) Recursion stack (can be O(n) in worst case)

🎯 Algorithm Characteristics

  • Type: Comparison Sort / Divide-and-Conquer
  • Stability: ❌ Not stable (equal elements may change order)
  • In-place: ✅ Yes (only O(log n) extra space for recursion)
  • Adaptive: Partially (randomized version reduces worst-case risk)