Project: Sorting_algorithms & Big O

Language: C

Authors: Pedro Arbilla @parbilla y Roberto Ribeiro @rmribeiro-uy

Learning Objectives

At the end of this project, you are expected to be able to explain to anyone, without the help of Google: General

At least four different sorting algorithms
What is the Big O notation, and how to evaluate the time complexity of an algorithm
How to select the best sorting algorithm for a given input
What is a stable sorting algorithm

Mandatory Tasks

0. Bubble sort Write a function that sorts an array of integers in ascending order using the Bubble sort algorithm

   Prototype: void bubble_sort(int *array, size_t size); You’re expected to print the array after each time you swap two elements (See example below)

Write in the file 0-O, the big O notations of the time complexity of the Bubble sort algorithm, with 1 notation per line:

in the best case
in the average case
in the worst case

1. Insertion sort Write a function that sorts a doubly linked list of integers in ascending order using the Insertion sort algorithm

   Prototype: void insertion_sort_list(listint_t **list); You are not allowed to modify the integer n of a node. You have to swap the nodes themselves. You’re expected to print the list after each time you swap two elements (See example below)

Write in the file 1-O, the big O notations of the time complexity of the Insertion sort algorithm, with 1 notation per line:

in the best case
in the average case
in the worst case

2. Selection sort Write a function that sorts an array of integers in ascending order using the Selection sort algorithm

   Prototype: void selection_sort(int *array, size_t size); You’re expected to print the array after each time you swap two elements (See example below)

Write in the file 2-O, the big O notations of the time complexity of the Selection sort algorithm, with 1 notation per line:

in the best case
in the average case
in the worst case

3. Quick sort

Write a function that sorts an array of integers in ascending order using the Quick sort algorithm

Prototype: void quick_sort(int *array, size_t size);
You must implement the Lomuto partition scheme.
The pivot should always be the last element of the partition being sorted.
You’re expected to print the array after each time you swap two elements (See example below)

Write in the file 3-O, the big O notations of the time complexity of the Quick sort algorithm, with 1 notation per line:

in the best case
in the average case
in the worst case