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  2. Quickselect - Wikipedia

    en.wikipedia.org/wiki/Quickselect

    In computer science, quickselect is a selection algorithm to find the kth smallest element in an unordered list, also known as the kth order statistic. Like the related quicksort sorting algorithm, it was developed by Tony Hoare , and thus is also known as Hoare's selection algorithm . [ 1 ]

  3. Median of medians - Wikipedia

    en.wikipedia.org/wiki/Median_of_medians

    Secondly, five is the smallest odd number such that median of medians works. With groups of only three elements, the resulting list of medians to search in is length n 3 {\displaystyle {\frac {n}{3}}} , and reduces the list to recurse into length 2 3 n {\displaystyle {\frac {2}{3}}n} , since it is greater than 1/2 × 2/3 = 1/3 of the elements ...

  4. Selection algorithm - Wikipedia

    en.wikipedia.org/wiki/Selection_algorithm

    Therefore, the worst-case number of comparisons needed to select the second smallest is + ⌈ ⁡ ⌉, the same number that would be obtained by holding a single-elimination tournament with a run-off tournament among the values that lost to the smallest value. However, the expected number of comparisons of a randomized selection algorithm can ...

  5. 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.

  6. Floyd–Rivest algorithm - Wikipedia

    en.wikipedia.org/wiki/Floyd–Rivest_algorithm

    The following pseudocode rearranges the elements between left and right, such that for some value k, where left ≤ k ≤ right, the kth element in the list will contain the (k − left + 1)th smallest value, with the ith element being less than or equal to the kth for all left ≤ i ≤ k and the jth element being larger or equal to for k ≤ j ≤ right:

  7. Min-max heap - Wikipedia

    en.wikipedia.org/wiki/Min-max_heap

    Example of Min-max heap. Each node in a min-max heap has a data member (usually called key) whose value is used to determine the order of the node in the min-max heap. The root element is the smallest element in the min-max heap. One of the two elements in the second level, which is a max (or odd) level, is the greatest element in the min-max heap

  8. Sieve of Eratosthenes - Wikipedia

    en.wikipedia.org/wiki/Sieve_of_Eratosthenes

    Find the smallest number in the list greater than p that is not marked. If there was no such number, stop. Otherwise, let p now equal this new number (which is the next prime), and repeat from step 3. When the algorithm terminates, the numbers remaining not marked in the list are all the primes below n.

  9. k-way merge algorithm - Wikipedia

    en.wikipedia.org/wiki/K-way_merge_algorithm

    The canonical 2-way merge algorithm [1] stores indices i, j, and k into A, B, and C respectively. Initially, these indices refer to the first element, i.e., are 1. If A[i] < B[j], then the algorithm copies A[i] into C[k] and increases i and k. Otherwise, the algorithm copies B[j] into C[k] and increases j and k.