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In computer science, quickselect is a selection algorithm to find the kth smallest element in an unordered list, also known as the kth order statistic. Like the related quicksort sorting algorithm, it was developed by Tony Hoare , and thus is also known as Hoare's selection algorithm . [ 1 ]
Unlike quickselect, this algorithm is deterministic, not randomized. [2] [4] [5] It was the first linear-time deterministic selection algorithm known, [5] and is commonly taught in undergraduate algorithms classes as an example of a divide and conquer that does not divide into two equal subproblems.
This is because quickselect is a divide and conquer algorithm, with each step taking () time in the size of the remaining search set. If the search set decreases exponentially quickly in size (by a fixed proportion), this yields a geometric series times the O ( n ) {\displaystyle O(n)} factor of a single step, and thus linear overall time.
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.
The Floyd-Rivest algorithm is a divide and conquer algorithm, sharing many similarities with quickselect. It uses sampling to help partition the list into three sets. It then recursively selects the kth smallest element from the appropriate set. The general steps are: Select a small random sample S from the list L.
In computer science, a dichotomic search is a search algorithm that operates by selecting between two distinct alternatives (dichotomies [1] or polychotomies [2] when they are more than two) at each step. It is a specific type of divide and conquer algorithm. A well-known example is binary search. [3]
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] The sub-arrays are then sorted recursively.
Pages in category "Divide-and-conquer algorithms" The following 9 pages are in this category, out of 9 total. This list may not reflect recent changes. ...