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  2. Sorting algorithm - Wikipedia

    en.wikipedia.org/wiki/Sorting_algorithm

    One implementation can be described as arranging the data sequence in a two-dimensional array and then sorting the columns of the array using insertion sort. The worst-case time complexity of Shellsort is an open problem and depends on the gap sequence used, with known complexities ranging from O ( n 2 ) to O ( n 4/3 ) and Θ( n log 2 n ).

  3. Bubble sort - Wikipedia

    en.wikipedia.org/wiki/Bubble_sort

    Take an array of numbers "5 1 4 2 8", and sort the array from lowest number to greatest number using bubble sort. In each step, elements written in bold are being compared. Three passes will be required; First Pass ( 5 1 4 2 8 ) → ( 1 5 4 2 8 ), Here, algorithm compares the first two elements, and swaps since 5 > 1.

  4. Bucket sort - Wikipedia

    en.wikipedia.org/wiki/Bucket_sort

    The shuffle sort [6] is a variant of bucket sort that begins by removing the first 1/8 of the n items to be sorted, sorts them recursively, and puts them in an array. This creates n/8 "buckets" to which the remaining 7/8 of the items are distributed. Each "bucket" is then sorted, and the "buckets" are concatenated into a sorted array.

  5. Merge sort - Wikipedia

    en.wikipedia.org/wiki/Merge_sort

    As of Perl 5.8, merge sort is its default sorting algorithm (it was quicksort in previous versions of Perl). [28] In Java, the Arrays.sort() methods use merge sort or a tuned quicksort depending on the datatypes and for implementation efficiency switch to insertion sort when fewer than seven array elements are being sorted. [29]

  6. Shellsort - Wikipedia

    en.wikipedia.org/wiki/Shellsort

    The next pass, 3-sorting, performs insertion sort on the three subarrays (a 1, a 4, a 7, a 10), (a 2, a 5, a 8, a 11), (a 3, a 6, a 9, a 12). The last pass, 1-sorting, is an ordinary insertion sort of the entire array (a 1,..., a 12). As the example illustrates, the subarrays that Shellsort operates on are initially short; later they are longer ...

  7. Sorting - Wikipedia

    en.wikipedia.org/wiki/Sorting

    If the sort key values are totally ordered, the sort key defines a weak order of the items: items with the same sort key are equivalent with respect to sorting. See also stable sorting. If different items have different sort key values then this defines a unique order of the items. Workers sorting parcels in a postal facility

  8. Counting sort - Wikipedia

    en.wikipedia.org/wiki/Counting_sort

    Here input is the input array to be sorted, key returns the numeric key of each item in the input array, count is an auxiliary array used first to store the numbers of items with each key, and then (after the second loop) to store the positions where items with each key should be placed, k is the maximum value of the non-negative key values and ...

  9. Bitonic sorter - Wikipedia

    en.wikipedia.org/wiki/Bitonic_sorter

    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]