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  2. Selection sort - Wikipedia

    en.wikipedia.org/wiki/Selection_sort

    In computer science, selection sort is an in-place comparison sorting algorithm.It has a O(n 2) time complexity, which makes it inefficient on large lists, and generally performs worse than the similar insertion sort.

  3. Best, worst and average case - Wikipedia

    en.wikipedia.org/wiki/Best,_worst_and_average_case

    For example, the best case for a simple linear search on a list occurs when the desired element is the first element of the list. Development and choice of algorithms is rarely based on best-case performance: most academic and commercial enterprises are more interested in improving average-case complexity and worst-case performance. Algorithms ...

  4. Quickselect - Wikipedia

    en.wikipedia.org/wiki/Quickselect

    Finer computations of the average time complexity yield a worst case of (+ ⁡ + ()) + for random pivots (in the case of the median; other k are faster). [3] The constant can be improved to 3/2 by a more complicated pivot strategy, yielding the Floyd–Rivest algorithm , which has average complexity of 1.5 n + O ( n 1 / 2 ) {\displaystyle 1.5n ...

  5. Median of medians - Wikipedia

    en.wikipedia.org/wiki/Median_of_medians

    Median of medians finds an approximate median in linear time. Using this approximate median as an improved pivot, the worst-case complexity of quickselect reduces from quadratic to linear, which is also the asymptotically optimal worst-case complexity of any selection algorithm. In other words, the median of medians is an approximate median ...

  6. Selection algorithm - Wikipedia

    en.wikipedia.org/wiki/Selection_algorithm

    As a baseline algorithm, selection of the th smallest value in a collection of values can be performed by the following two steps: . Sort the collection; If the output of the sorting algorithm is an array, retrieve its th element; otherwise, scan the sorted sequence to find the th element.

  7. Cocktail shaker sort - Wikipedia

    en.wikipedia.org/wiki/Cocktail_shaker_sort

    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.

  8. Sorting algorithm - Wikipedia

    en.wikipedia.org/wiki/Sorting_algorithm

    Selection sort is an in-place comparison sort. It has O(n 2) complexity, making it inefficient on large lists, and generally performs worse than the similar insertion sort. Selection sort is noted for its simplicity and also has performance advantages over more complicated algorithms in certain situations.

  9. Algorithmic efficiency - Wikipedia

    en.wikipedia.org/wiki/Algorithmic_efficiency

    Performing a Fast Fourier transform; heapsort, quicksort (best and average case), or merge sort quadratic: Multiplying two n-digit numbers by a simple algorithm; bubble sort (worst case or naive implementation), Shell sort, quicksort , selection sort or insertion sort (), >