How is counting sort a stable sort?

Posted by eSKay on Stack Overflow See other posts from Stack Overflow or by eSKay
Published on 2010-04-03T18:19:07Z Indexed on 2010/04/03 18:23 UTC
Read the original article Hit count: 708

Filed under:

sorting

|

counting-sort

|

stable-sort

|

algorithm

Suppose my input is (a,b and c to distinguish between equal keys)

1 6a 8 3 6b 0 6c 4

My counting sort will save as (discarding the a,b and c info!!)

0(1) 1(1) 3(1) 4(1) 6(3) 8(1)

which will give me the result

0 1 3 4 6 6 6 8

So, how is this stable sort? I am not sure how it is "maintaining the relative order of records with equal keys."

Please explain.

© Stack Overflow or respective owner

Related posts about sorting

Sorting eigenvectors by their eigenvalues (associated sorting)

as seen on Stack Overflow - Search for 'Stack Overflow'
I have an unsorted vector of eigenvalues and a related matrix of eigenvectors. I'd like to sort the columns of the matrix with respect to the sorted set of eigenvalues. (e.g., if eigenvalue[3] moves to eigenvalue[2], I want column 3 of the eigenvector matrix to move over to column 2.) I know I can… >>> More
Sorting in SSRS Reports overriding Group sorting

as seen on Stack Overflow - Search for 'Stack Overflow'
I am new to SSRS (2005) and am creating my first report. I need to create a group-based running value but is sorted or some other field. For example, from the data below |Employee| Day |Hours|Salary| |E1 | 1.1 | 5 | 5 | |E2 | 1.2 | 6 | 6 | |E3 | 1.3 | 7 | 7 | |E2 … >>> More
org-sort multi: date/time (?d ?t) | priority (?p) | title (?a)

as seen on Super User - Search for 'Super User'
Is anyone aware of an org-sort function / modification that can refile / organize a group of TODO so that it sorts them by three (3) criteria: first sort by due date, second sort by priority, and third sort by by title of the task? EDIT: I believe that org-sort by deadline (?d) has a bug that… >>> More
A Look at the GridView's New Sorting Styles in ASP.NET 4.0

as seen on Internet.com - Search for 'Internet.com'
Scott Mitchell looks at four new sorting-related style properties added to the GridView in ASP.NET 4.0. >>> More
A Look at the GridView's New Sorting Styles in ASP.NET 4.0

as seen on 4 Guys From Rolla - Search for '4 Guys From Rolla'
Like every Web control in the ASP.NET toolbox, the GridView includes a variety of style-related properties, including CssClass, Font, ForeColor, BackColor, Width, Height, and so on. The GridView also includes style properties that apply to certain classes of rows in the grid, such as RowStyle,… >>> More

Related posts about counting-sort

How is counting sort a stable sort?

as seen on Stack Overflow - Search for 'Stack Overflow'
Suppose my input is (a,b and c to distinguish between equal keys) 1 6a 8 3 6b 0 6c 4 My counting sort will save as (discarding the a,b and c info!!) 0(1) 1(1) 3(1) 4(1) 6(3) 8(1) which will give me the result 0 1 3 4 6 6 6 8 So, how is this stable sort? I am not sure how it is "maintaining… >>> More
question about counting sort

as seen on Stack Overflow - Search for 'Stack Overflow'
hi i have write following code which prints elements in sorted order only one big problem is that it use two additional array here is my code public class occurance{ public static final int n=5; public static void main(String[]args){ // n is maximum possible value what it should be… >>> More
Algorithm Improvement through Performance Measurement: Part 6

as seen on Dr Dobbs - Search for 'Dr Dobbs'
Counting Sort performance Performance measurement - Business - Balanced scorecard - Data Warehousing - Databases >>> More
Bucket sort for integers

as seen on Stack Overflow - Search for 'Stack Overflow'
Could anybody help me with bucket sort algorithm for integers ? It's often mistake when people say they have this algorithm, but this is counting sort ! Maybe it works similar, but it is something different. I hope you will help mi find the right way, 'cause now I have no idea (Cormen's book and… >>> More
CodePlex Daily Summary for Monday, March 15, 2010

as seen on Code Plex - Search for 'Code Plex'
CodePlex Daily Summary for Monday, March 15, 2010New ProjectsAT Accounts: AT Accounts helps developers to intergrate accounting functionality in their applications. It has both the WPF userinterface and SilverlightChild page list(for dnn4/5): A free module which can display sub… >>> More