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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 ]
In computer science, the median of medians is an approximate median selection algorithm, frequently used to supply a good pivot for an exact selection algorithm, most commonly quickselect, that selects the kth smallest element of an initially unsorted array. Median of medians finds an approximate median in linear time.
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.
Introselect works by optimistically starting out with quickselect and only switching to a worst-case linear-time selection algorithm (the Blum-Floyd-Pratt-Rivest-Tarjan median of medians algorithm) if it recurses too many times without making sufficient progress. The switching strategy is the main technical content of the algorithm.
Hoare's most significant work has been in the following areas: his sorting and selection algorithm (Quicksort and Quickselect), Hoare logic, the formal language communicating sequential processes (CSP) used to specify the interactions between concurrent processes (and implemented in various programming languages such as occam), structuring ...
Category: Selection algorithms. 4 languages. ... Quickselect This page was last edited on 29 April 2015, at 16:48 (UTC). Text is available under the Creative ...
Conversely, some sorting algorithms can be derived by repeated application of a selection algorithm; quicksort and quickselect can be seen as the same pivoting move, differing only in whether one recurses on both sides (quicksort, divide-and-conquer) or one side (quickselect, decrease-and-conquer).
A popular choice to implement this algorithm scheme is to combine quickselect and quicksort; the result is sometimes called "quickselsort". [1] Common in current (as of 2022) C++ STL implementations is a pass of heapselect for a list of k elements, followed by a heapsort for the final result. [2]