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Quick Sort

Quick Sort - Technical Overview

1. Algorithm Description: Quick Sort is an efficient, comparison-based, divide-and-conquer sorting algorithm. It works by selecting a 'pivot' element from the array and partitioning the other elements into two sub-arrays, according to whether they are less than or greater than the pivot.

2. Steps of Quick Sort:

  • Select a pivot element from the array.
  • Partition the array into two halves: elements less than the pivot and elements greater than the pivot.
  • Recursively apply the above steps to the two halves.

3. Time Complexity: O(n log n) on average, O(n²) in the worst case (when the pivot is the smallest or largest element repeatedly).

4. Space Complexity: O(log n) for the stack space used by recursive calls.

5. Stability: Quick Sort is not a stable sorting algorithm.

6. Suitability: Efficient for large datasets and widely used in practice. It's often preferred for in-memory sorting.