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Sorting algorithm. 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.
In computer science, divide and conquer is an algorithm design paradigm. A divide-and-conquer algorithm recursively breaks down a problem into two or more sub-problems of the same or related type, until these become simple enough to be solved directly. The solutions to the sub-problems are then combined to give a solution to the original problem.
Selection sort. In computer science, selection sort is an in-place comparison sorting algorithm. It has an O (n2) time complexity, which makes it inefficient on large lists, and generally performs worse than the similar insertion sort. Selection sort is noted for its simplicity and has performance advantages over more complicated algorithms in ...
Conceptually, a merge sort works as follows: Divide the unsorted list into n sublists, each containing one element (a list of one element is considered sorted). Repeatedly merge sublists to produce new sorted sublists until there is only one sublist remaining. This will be the sorted list.
Quicksort is a divide-and-conquer algorithm. It works by selecting a 'pivot' element from the array and partitioning the other elements into two sub-arrays, according to whether they are less than or greater than the pivot. For this reason, it is sometimes called partition-exchange sort. [ 4 ]
Strand sort. Strand sort is a recursive sorting algorithm that sorts items of a list into increasing order. It has O (n 2) worst time complexity which occurs when the input list is reverse sorted. [1] It has a best case time complexity of O (n) which occurs when the input is a list that is already sorted. [citation needed] The algorithm first ...
O(n+k){\displaystyle O(n+k)} Elements are distributed among binsThen, elements are sorted within each bin. Bucket sort, or bin sort, is a sorting algorithmthat works by distributing the elements of an arrayinto a number of buckets. Each bucket is then sorted individually, either using a different sorting algorithm, or by recursively applying ...
Shellsort, also known as Shell sort or Shell's method, is an in-place comparison sort. It can be seen as either a generalization of sorting by exchange (bubble sort) or sorting by insertion (insertion sort). [3] The method starts by sorting pairs of elements far apart from each other, then progressively reducing the gap between elements to be ...