• Thumbnail for Quicksort
    Quicksort is an efficient, general-purpose sorting algorithm. Quicksort was developed by British computer scientist Tony Hoare in 1959 and published in...
    71 KB (9,925 words) - 14:21, 29 April 2025
  • Thumbnail for Heapsort
    well-implemented quicksort, it has the advantages of very simple implementation and a more favorable worst-case O(n log n) runtime. Most real-world quicksort variants...
    49 KB (5,711 words) - 03:51, 9 February 2025
  • Thumbnail for Sorting algorithm
    exchange, selection, merging, etc. Exchange sorts include bubble sort and quicksort. Selection sorts include cycle sort and heapsort. Whether the algorithm...
    69 KB (6,537 words) - 12:59, 23 April 2025
  • Thumbnail for Tree sort
    sort, but it is equivalent to quicksort as both recursively partition the elements based on a pivot, and since quicksort is in-place and has lower overhead...
    5 KB (644 words) - 04:27, 5 April 2025
  • Thumbnail for Quickselect
    the related quicksort sorting algorithm, it was developed by Tony Hoare, and thus is also known as Hoare's selection algorithm. Like quicksort, it is efficient...
    9 KB (1,189 words) - 08:37, 1 December 2024
  • basis of efficient algorithms for many problems, such as sorting (e.g., quicksort, merge sort), multiplying large numbers (e.g., the Karatsuba algorithm)...
    21 KB (2,894 words) - 09:50, 14 May 2025
  • Multi-key quicksort, also known as three-way radix quicksort, is an algorithm for sorting strings. This hybrid of quicksort and radix sort was originally...
    5 KB (700 words) - 05:09, 14 March 2025
  • performance and (asymptotically) optimal worst-case performance. It begins with quicksort, it switches to heapsort when the recursion depth exceeds a level based...
    11 KB (1,227 words) - 19:56, 8 February 2025
  • adversary to arrange the data beforehand so that quicksort will perform in worst-case time. If, however, quicksort chooses some random element to be the pivot...
    6 KB (794 words) - 12:55, 19 March 2024
  • the expected running time is finite (Las Vegas algorithms, for example Quicksort), and algorithms which have a chance of producing an incorrect result...
    33 KB (4,218 words) - 18:46, 19 February 2025
  • Thumbnail for Tony Hoare
    distinction in computer science, in 1980. Hoare developed the sorting algorithm quicksort in 1959–1960. He developed Hoare logic, an axiomatic basis for verifying...
    27 KB (2,218 words) - 22:59, 27 April 2025
  • Thumbnail for Bubble sort
    used primarily as an educational tool. More efficient algorithms such as quicksort, timsort, or merge sort are used by the sorting libraries built into popular...
    19 KB (2,345 words) - 21:54, 9 May 2025
  • Thumbnail for Erlang (programming language)
    1). fib_int(0, _, B) -> B; fib_int(N, A, B) -> fib_int(N-1, B, A+B). Quicksort in Erlang, using list comprehension: %% qsort:qsort(List) %% Sort a list...
    42 KB (4,769 words) - 03:49, 30 April 2025
  • partial_quicksort(A, i, j, k) is if i < j then p ← pivot(A, i, j) p ← partition(A, i, j, p) partial_quicksort(A, i, p-1, k) if p < k-1 then partial_quicksort(A...
    8 KB (952 words) - 15:19, 26 February 2023
  • algorithm def quicksort(list) { if (list.size() <= 1) { list; } else { pivot = list[0]; concat(quicksort(($ in list if $ < pivot)), pivot, quicksort(($ in list...
    4 KB (312 words) - 22:12, 20 November 2020
  • primarily applying another algorithm, such as merge sort or quicksort. Merge sort and quicksort are asymptotically optimal on large data, but the overhead...
    4 KB (606 words) - 22:03, 3 February 2023
  • Thumbnail for Robert Sedgewick (computer scientist)
    of Donald E. Knuth, receiving his PhD in 1975. His thesis was entitled Quicksort and was named an outstanding dissertation in computer science. Sedgewick...
    17 KB (1,550 words) - 21:35, 7 January 2025
  • implementation) quickSort :: Ord a => [a] -> [a] -- Using list comprehensions quickSort [] = [] -- The empty list is already sorted quickSort (x:xs) = quickSort [a...
    50 KB (4,584 words) - 21:59, 17 March 2025
  • Thumbnail for Dutch national flag problem
    interest for designing sorting algorithms; in particular, variants of the quicksort algorithm that must be robust to repeated elements may use a three-way...
    5 KB (656 words) - 08:21, 1 August 2024
  • Thumbnail for Merge sort
    than quicksort does in its average case, and in terms of moves, merge sort's worst case complexity is O(n log n) - the same complexity as quicksort's best...
    49 KB (6,726 words) - 14:55, 7 May 2025
  • Consequently, quicksort needs O(log2 n) additional space. Although this non-constant space technically takes quicksort out of the in-place category, quicksort and...
    8 KB (1,151 words) - 05:10, 4 May 2025
  • last) { int pivotIndex = partition(); quickSort(first, pivotIndex - 1); quickSort(pivotIndex + 1, last); } } quickSort(0, size - 1); } The following is an...
    20 KB (2,290 words) - 01:46, 11 February 2025
  • Thumbnail for Insertion sort
    much less efficient on large lists than more advanced algorithms such as quicksort, heapsort, or merge sort. However, insertion sort provides several advantages:...
    22 KB (2,922 words) - 20:38, 18 March 2025
  • Thumbnail for Raku (programming language)
    list sorts to the empty list multi quicksort([]) { () } # Otherwise, extract first item as pivot... multi quicksort([$pivot, *@rest]) { # Partition. my...
    47 KB (5,543 words) - 02:00, 10 April 2025
  • Nial (section QuickSort)
    arrays. quicksort is fork [ >= [1 first,tally], pass, link [ quicksort sublist [ < [pass, first], pass ], sublist [ match [pass,first],pass ], quicksort sublist...
    7 KB (850 words) - 06:12, 19 January 2025
  • passes becomes the bottleneck. Binary MSD radix sort, also called binary quicksort, can be implemented in-place by splitting the input array into two bins...
    20 KB (2,604 words) - 07:26, 30 December 2024
  • Thumbnail for J (programming language)
    Implementing quicksort, from the J Dictionary yields: sel=: adverb def 'u # [' quicksort=: verb define if. 1 >: #y do. y else. (quicksort y <sel e),(y...
    19 KB (2,221 words) - 07:04, 26 March 2025
  • algorithm: these are analogous refinements of the basic quickselect and quicksort algorithms, in that they both start with the quick algorithm, which has...
    4 KB (524 words) - 06:52, 23 November 2022
  • Prolog (section Quicksort)
    Smalls, Rest) ). quicksort([]) --> []. quicksort([X|Xs]) --> { partition(Xs, X, Smaller, Bigger) }, quicksort(Smaller), [X], quicksort(Bigger). A design...
    72 KB (8,098 words) - 13:52, 12 May 2025
  • Execute Quicksort on A[1 to i-1] and A[i+1 to n]. Combine the responses in order to obtain a sorted array.""" A simple example is randomized quicksort, where...
    17 KB (2,523 words) - 01:16, 8 March 2025