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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. The algorithm finds subsequences of the data that are already ordered (runs) and uses them to sort the ...
In Python 2.4 and above, both the sorted() function and the in-place list.sort() method take a key= parameter that allows the user to provide a "key function" (like foo in the examples above). In Python 3 and above, use of the key function is the only way to specify a custom sort order (the previously supported cmp= parameter that allowed the ...
A list containing a single element is, by definition, sorted. Repeatedly merge sublists to create a new sorted sublist until the single list contains all elements. The single list is the sorted list. The merge algorithm is used repeatedly in the merge sort algorithm. An example merge sort is given in the illustration.
Cocktail shaker sort, [1] also known as bidirectional bubble sort, [2] cocktail sort, shaker sort (which can also refer to a variant of selection sort), ripple sort, shuffle sort, [3] or shuttle sort, is an extension of bubble sort. The algorithm extends bubble sort by operating in two directions.
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 ...
If the list is then k-sorted for some smaller integer k, then the list remains h-sorted. A final sort with h = 1 ensures the list is fully sorted at the end, [6] but a judiciously chosen decreasing sequence of h values leaves very little work for this final pass to do. In simplistic terms, this means if we have an array of 1024 numbers, our ...
Gnome sort performs at least as many comparisons as insertion sort and has the same asymptotic run time characteristics. Gnome sort works by building a sorted list one element at a time, getting each item to the proper place in a series of swaps. The average running time is O(n 2) but tends towards O(n) if the list is initially almost sorted ...
A sorting algorithm that only works if the list is already in order, otherwise, the conditions of miracle sort are applied. Divine sort A sorting algorithm that takes a list and decides that because there is such a low probability that the list randomly occurred in its current permutation (a probability of 1/n!, where n is the number of ...