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CalcyZone
computer-science Verified Precision Tool

Quick Sort Visualizer & Partition Calculator

Step-by-step Quick Sort partition visualizer demonstrating pivot selection, left/right pointers, and recursion tree.

Interactive Algorithm Visualizer

Quick Sort

Enter your custom input data → Run the real algorithm engine → Observe step transitions.

⚙️ Customize Algorithm Input Data

Step 1 of 12⚡ Algorithm Running
WHAT HAPPENED?

Initial array for Quick Sort.

WHY?

Algorithm state rule requirement

WHAT CHANGED?

State pointers updated

64
[0]
25
[1]
12
[2]
22
[3]
11
[4]

Mathematical Formula

Pivot p; Partition elements into < p and > p; Recurse

Overview & Explanation

Quick Sort is an efficient, divide-and-conquer sorting algorithm that selects a pivot element and partitions array elements around it.

How It Works

  • Pick a pivot element (e.g. last element).
  • Reorder array so elements less than pivot come before, greater come after.
  • Recursively apply Quick Sort to sub-arrays.

Practical Applications

  • High-performance in-memory sorting
  • Standard library sort implementations

Quick Sort Partition Example

Partitioning around pivot 70

1

Partition

Pivot 70

= [10, 30, 40, 50, 70, 90, 80]

Frequently Asked Questions

What is the worst-case time complexity of Quick Sort?
Quick Sort worst case is O(n²) when the pivot chosen is consistently the smallest or largest element.