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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. Timsort - Wikipedia

    en.wikipedia.org/wiki/Timsort

    Timsort is a hybrid, stable sorting algorithm, derived from merge sort and insertion sort, designed to perform well on many kinds of real-world data.It was implemented by Tim Peters in 2002 for use in the Python programming language.

  4. Insertion sort - Wikipedia

    en.wikipedia.org/wiki/Insertion_sort

    The best case input is an array that is already sorted. In this case insertion sort has a linear running time (i.e., O(n)).During each iteration, the first remaining element of the input is only compared with the right-most element of the sorted subsection of the array.

  5. Bubble sort - Wikipedia

    en.wikipedia.org/wiki/Bubble_sort

    More efficient algorithms such as quicksort, timsort, or merge sort are used by the sorting libraries built into popular programming languages such as Python and Java. [ 2 ] [ 3 ] However, if parallel processing is allowed, bubble sort sorts in O(n) time, making it considerably faster than parallel implementations of insertion sort or selection ...

  6. Radix sort - Wikipedia

    en.wikipedia.org/wiki/Radix_sort

    In computer science, radix sort is a non-comparative sorting algorithm.It avoids comparison by creating and distributing elements into buckets according to their radix.For elements with more than one significant digit, this bucketing process is repeated for each digit, while preserving the ordering of the prior step, until all digits have been considered.

  7. Selection sort - Wikipedia

    en.wikipedia.org/wiki/Selection_sort

    A bidirectional variant of selection sort (called double selection sort or sometimes cocktail sort due to its similarity to cocktail shaker sort) finds both the minimum and maximum values in the list in every pass. This requires three comparisons per two items (a pair of elements is compared, then the greater is compared to the maximum and the ...

  8. Cycle sort - Wikipedia

    en.wikipedia.org/wiki/Cycle_sort

    The following Python implementation [1] [circular reference] performs cycle sort on an array, counting the number of writes to that array that were needed to sort it. Python def cycle_sort ( array ) -> int : """Sort an array in place and return the number of writes.""" writes = 0 # Loop through the array to find cycles to rotate.

  9. Bogosort - Wikipedia

    en.wikipedia.org/wiki/Bogosort

    A sorting algorithm that checks if the array is sorted until a miracle occurs. It continually checks the array until it is sorted, never changing the order of the array. [ 10 ] Because the order is never altered, the algorithm has a hypothetical time complexity of O ( ∞ ) , but it can still sort through events such as miracles or single-event ...