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Title:Sorting Algorithm Animations | Toptal
Description:Animation, code, analysis, and discussion of 8 sorting algorithms on 4 initial conditions.
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Sorting Algorithm Animations | Toptal
It looks like the browser you鈥檙e using is outdated, so you may not see the optimal version of the site. Apologies for the inconvenience.Toptal connects the top 3% of freelance developers all over the world.Sorting Algorithms AnimationsThe following animations illustrate how effectively data sets from different starting points can be sorted using different algorithms.How to use: Press "Play all", or choose the button for the individual row/column to animate.Try me!Play AllInsertionSelectionBubbleShellMergeHeapQuickQuick3RandomPlay animationPlay animationPlay animationPlay animationPlay animationPlay animationPlay animationPlay animationNearly SortedPlay animationPlay animationPlay animationPlay animationPlay animationPlay animationPlay animationPlay animationReversedPlay animationPlay animationPlay animationPlay animationPlay animationPlay animationPlay animationPlay animationFew UniquePlay animationPlay animationPlay animationPlay animationPlay animationPlay animationPlay animationPlay animationPlay AllRandomNearly SortedReversedFew UniqueInsertionPlay animationPlay animationPlay animationPlay animationSelectionPlay animationPlay animationPlay animationPlay animationBubblePlay animationPlay animationPlay animationPlay animationShellPlay animationPlay animationPlay animationPlay animationMergePlay animationPlay animationPlay animationPlay animationHeapPlay animationPlay animationPlay animationPlay animationQuickPlay animationPlay animationPlay animationPlay animationQuick3Play animationPlay animationPlay animationPlay animationAlgorithm:InsertionSelectionBubbleShellMergeHeapQuickQuick3Initial condition:RandomNearly SortedReversedFew UniqueProblem size:20304050Key:
Black values are sorted.
Gray values are unsorted.
A red triangle marks the algorithm position.
Dark gray values denote the current interval (shell, merge, quick).
A pair of red triangles marks the left and right pointers (quick).
Discussion:These pages show 8 different sorting algorithms on 4 different initial conditions. These visualizations are intended to:
Show how each algorithm operates.
Show that there is no best sorting algorithm.
Show the advantages and disadvantages of each algorithm.
Show that worse-case asymptotic behavior is not always the deciding factor in choosing an algorithm.
Show that the initial condition (input order and key distribution) affects performance as much as the algorithm choice.
The ideal sorting algorithm would have the following properties:
Stable: Equal keys aren鈥檛 reordered.
Operates in place, requiring O(1) extra space.
Worst-case O(n路lg(n)) key comparisons.
Worst-case O(n) swaps.
Adaptive: Speeds up to O(n) when data is nearly sorted or when there are few unique keys.
There is no algorithm that has all of these properties, and so the choice of sorting algorithm depends on the application.
Sorting is a vast topic; this site explores the topic of in-memory generic algorithms for arrays. External sorting, radix sorting, string sorting, and linked list sorting鈥攁ll wonderful and interesting topics鈥攁re deliberately omitted to limit the scope of discussion.
Preparing for a technical interview? Check out our interview guides.JavaJavaScriptC++PHPPythonRubyC#ReferencesAlgorithms in Java, Parts 1-4, 3rd edition by Robert Sedgewick. Addison Wesley, 2003.
Quicksort is Optimal by Robert Sedgewick and Jon Bentley, Knuthfest, Stanford University, January, 2002.
Dual Pivot Quicksort: Code by Discussion.
Bubble-sort with Hungarian (鈥淐s谩ng贸鈥) folk dance YouTube video, created at Sapientia University, Tirgu Mures (Marosv谩s谩rhely), Romania.
Select-sort with Gypsy folk dance YouTube video, created at Sapientia University, Tirgu Mures (Marosv谩s谩rhely), Romania.
Sorting Out Sorting, Ronald M. Baecker with the assistance of David Sherman, 30 minute color sound film, Dynamic Graphics Project, University of Toronto, 1981. Excerpted and reprinted in SIGGRAPH Video Review 7, 1983. Distributed by Morgan Kaufmann, Publishers. Excerpt.
ToptalHire the top 3% of freelance talent漏 Copyright 2010 - 2016 Toptal, LLC

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