Perform quick sort in doubly linked list
This article addresses the implementation of the QuickSort algorithm on a doubly linked list. QuickSort is a popular sorting algorithm known for its efficiency and ease of implementation. This article will guide you through the process of performing QuickSort on a doubly linked list, along with explanations and code examples.
Problem Statement
Given a doubly linked list, the goal is to sort its elements in nondecreasing order using the QuickSort algorithm.
Example
Consider the following doubly linked list:
4 <> 3 <> 7 <> 1 <> 1 <> 6 <> 2 <> 8 <> 2 <> 0
After applying QuickSort, the list should become:
2 <> 1 <> 0 <> 1 <> 2 <> 3 <> 4 <> 6 <> 7 <> 8
Idea to Solve
QuickSort is a recursive sorting algorithm that works by selecting a pivot element and partitioning the array into two subarrays – elements less than the pivot and elements greater than the pivot. This process is repeated for the subarrays until the entire list is sorted.
Pseudocode
function partition(first, last):
current = first
location = first.prev
temp = 0
while current is not null and current is not last:
if current.data <= last.data:
if location is null:
location = first
else:
move location to the next node
swap current.data and location.data
move current to the next node
if location is null:
location = first
else:
move location to the next node
swap last.data and location.data
return location
function quickSort(first, last):
if first is not last and first is not null and
last is not null and last.next is not first:
node = partition(first, last)
if node is not null:
quickSort(node.next, last)
quickSort(first, node.prev)
Algorithm Explanation
 Implement a partition function that takes two pointers,
first
andlast
, as parameters.  Initialize
current
tofirst
andlocation
tofirst.prev
.  Traverse the linked list with the
current
pointer and swap nodes' data if necessary, keeping track of thelocation
of the pivot.  After traversing, swap the data of the
last
node and thelocation
node.  Return the
location
node as the new pivot.  Implement the
quickSort
function that recursively sorts the linked list: If the base conditions are met (i.e., valid pointers and nonempty subarray), partition the list using
the
partition
function and obtain the pivot node.  Recursively apply
quickSort
to the subarrays before and after the pivot node.
 If the base conditions are met (i.e., valid pointers and nonempty subarray), partition the list using
the
Program List

1) Quicksort on doubly linked list in java
2) Quicksort on doubly linked list in c++
3) Quicksort on doubly linked list in c
4) Quicksort on doubly linked list in golang
5) Quicksort on doubly linked list in c#
6) Quicksort on doubly linked list in vb.net
7) Quicksort on doubly linked list in php
8) Quicksort on doubly linked list in node js
9) Quicksort on doubly linked list in typescript
10) Quicksort on doubly linked list in python
11) Quicksort on doubly linked list in ruby
12) Quicksort on doubly linked list in scala
13) Quicksort on doubly linked list in swift
14) Quicksort on doubly linked list in kotlin
Time Complexity
The time complexity of QuickSort largely depends on the choice of the pivot. On average, the time complexity is O(n log n), which makes it one of the fastest sorting algorithms.
Please share your knowledge to improve code and content standard. Also submit your doubts, and test case. We improve by your feedback. We will try to resolve your query as soon as possible.
New Comment