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For example, bubble sort is () on a list that is already sorted, while quicksort would still perform its entire () sorting process. While any sorting algorithm can be made O ( n ) {\displaystyle O(n)} on a presorted list simply by checking the list before the algorithm runs, improved performance on almost-sorted lists is harder to replicate.
An example of a list that proves this point is the list (2,3,4,5,1), which would only need to go through one pass of cocktail sort to become sorted, but if using an ascending bubble sort would take four passes. However one cocktail sort pass should be counted as two bubble sort passes. Typically cocktail sort is less than two times faster than ...
For example, if any number of elements are out of place by only one position (e.g. 0123546789 and 1032547698), bubble sort's exchange will get them in order on the first pass, the second pass will find all elements in order, so the sort will take only 2n time.
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This issue has implications for different sort algorithms. Some common internal sorting algorithms include: Bubble Sort; Insertion Sort; Quick Sort; Heap Sort; Radix Sort; Selection sort; Consider a Bubblesort, where adjacent records are swapped in order to get them into the right order, so that records appear to “bubble” up and down ...
As another example, many sorting algorithms rearrange arrays into sorted order in-place, including: bubble sort, comb sort, selection sort, insertion sort, heapsort, and Shell sort. These algorithms require only a few pointers, so their space complexity is O(log n). [1] Quicksort operates in-place on the data to be sorted.
On pipelined architectures, Bubble Sort results in O(N*log(N)) branch mispredictions (that is, the total count of left-to-right minima found during the sort). Insertion sort: O(N). ...and so bubble sort's asymptotic running time is - typically - twice that of insertion sort. When N is small, on a pipelined architecture, it is worse even than that.
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 ...