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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.
Bubble sort, sometimes referred to as sinking sort, is a simple sorting algorithm that repeatedly steps through the input list element by element, comparing the current element with the one after it, swapping their values if needed. These passes through the list are repeated until no swaps have to be performed during a pass, meaning that the ...
If different items have different sort key values then this defines a unique order of the items. Workers sorting parcels in a postal facility. A standard order is often called ascending (corresponding to the fact that the standard order of numbers is ascending, i.e. A to Z, 0 to 9), the reverse order descending (Z to A, 9 to 0).
Selection sort animation. Red is current min. Yellow is sorted list. Blue is current item. (Nothing appears changed on these last two lines because the last two numbers were already in order.) Selection sort can also be used on list structures that make add and remove efficient, such as a linked list.
Recursively sort the ⌊ / ⌋ larger elements from each pair, creating a sorted sequence of ⌊ / ⌋ of the input elements, in ascending order, using the merge-insertion sort. Insert at the start of S {\displaystyle S} the element that was paired with the first and smallest element of S {\displaystyle S} .
The heapsort algorithm can be divided into two phases: heap construction, and heap extraction. The heap is an implicit data structure which takes no space beyond the array of objects to be sorted; the array is interpreted as a complete binary tree where each array element is a node and each node's parent and child links are defined by simple arithmetic on the array indexes.
Timsort is a stable sorting algorithm (order of elements with same key is kept) and strives to perform balanced merges (a merge thus merges runs of similar sizes). In order to achieve sorting stability, only consecutive runs are merged. Between two non-consecutive runs, there can be an element with the same key inside the runs.
Bitonic mergesort is a parallel algorithm for sorting. It is also used as a construction method for building a sorting network.The algorithm was devised by Ken Batcher.The resulting sorting networks consist of ( ()) comparators and have a delay of ( ()), where is the number of items to be sorted. [1]