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Quickselect and its variants are the selection algorithms most often used in efficient real-world implementations. Quickselect uses the same overall approach as quicksort, choosing one element as a pivot and partitioning the data in two based on the pivot, accordingly as less than or greater than the pivot.
The following pseudocode assumes that left, right, and the list use one-based numbering and that select is initially called with 1 as the argument to left and the length of the list as the argument to right. Note that this returns the index of the n'th smallest number after rearranging the list, rather than the actual value of the n'th smallest ...
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.
Banker's algorithm; Bellman–Ford algorithm; Biconjugate gradient stabilized method; Biconnected component; Binary search; Bisection method; Bitwise operation; Block sort; Blowfish (cipher) Borůvka's algorithm; Braess's paradox; Brandes' algorithm; Bresenham's line algorithm; Bron–Kerbosch algorithm; Bubble sort; Bucket sort; Burning Ship ...
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This is a compact and often informal notation that can be understood by a wide range of mathematically trained people, and is frequently used as a way to describe mathematical algorithms. For example, the sum operator (capital-sigma notation) or the product operator (capital-pi notation) may represent a for-loop and a selection structure in one ...