2 Sorting Algorithms

Quick sort achieves this by changing the order of elements within the given array. Compare this with the merge sort algorithm which creates 2 arrays, each length n2, in each function call. However there does exist the problem of this sorting algorithm being of time Onn if the pivot is always kept at the middle. This can be overcomed by

Merge Sort is a stable sorting algorithm with a time complexity of On log n for all cases, making it more efficient than algorithms like Bubble Sort and Insertion Sort for large data sets.

Sorting is a very classic problem of reordering items that can be compared, e.g., integers, floating-point numbers, strings, etc of an array or a list in a certain order increasing, non-decreasing increasing or flat, decreasing, non-increasing decreasing or flat, lexicographical, etc.There are many different sorting algorithms, each has its own advantages and limitations.Sorting is

Non-comparison-based Sorting These algorithms sort data without comparing elements directly. Examples include Counting Sort, Radix Sort, and Bucket Sort. 2. Based on Stability. Stable Sorting Algorithms Stable sort algorithms maintain the relative order of equal elements. Examples include Bubble Sort, Merge Sort, and Insertion Sort.

Stability of Sorting Algorithm. A sorting algorithm is considered stable if the two or more items with the same value maintain the same relative positions even after sorting. For example, in the image below, there are two items with the same value 3. An unstable sorting algorithm allows two possibilities where the two positions of 3 may or may

Sorting Algorithms Comparison Table 6.2. Explanation of Key Factors Time Complexity. On algorithms Bubble Sort, Selection Sort, Insertion Sort are inefficient for large datasets. On log n algorithms Merge Sort, Quick Sort, Heap Sort are the most efficient for general-purpose sorting.

A Sorting Algorithm is used to rearrange a given array or list of elements in an order. For example, a given array 10, 20, 5, 2 becomes 2, 5, 10, 20 after sorting in increasing order and becomes 20, 10, 5, 2 after sorting in decreasing order. There exist different sorting algorithms for differ.

The variable k in Counting Sort stands for keys the number of possible values and in Radix Sort for key length the maximum length of a key. The variable b in Radix Sort stands for base.. Simple Sorting Algorithms. Simple sorting methods are well suited for sorting small lists. They are unsuitable for large lists because of the quadratic complexity.

Merge sort. In computer science, a sorting algorithm is an algorithm that puts elements of a list into an order.The most frequently used orders are numerical order and lexicographical order, and either ascending or descending.Efficient sorting is important for optimizing the efficiency of other algorithms such as search and merge algorithms that require input data to be in sorted lists.

Bubble Sort is not efficient for large datasets but can be useful for small lists or as an educational tool to understand the basics of sorting algorithms. 2. Selection Sort. Selection Sort is an in-place comparison sorting algorithm. It divides the input list into two parts a sorted portion at the left end and an unsorted portion at the right