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Edgepedia / Technology and the built world / Computing and digital systems / Artificial intelligence and data / Algorithms and computational methods / Sorting, searching, and selection

Selection and order statistics

综合2026 年 9 月 17 日

Dutch national flag problem

The Dutch national flag problem, posed by Edsger Dijkstra in 1973, is sorting an array of three values, such as red, white, and blue, in one pass in place.

综合2026 年 9 月 17 日

Median of medians

Median of medians, also called BFPRT, is a deterministic pivot-selection algorithm, published in 1973 by Blum, Floyd, Pratt, Rivest, and Tarjan, guaranteeing worst-case linear-time selection.

综合2026 年 9 月 17 日

Quickselect

Quickselect, also called Hoare's selection algorithm, is a selection algorithm that finds the k-th smallest element of an unordered array. Devised by Tony Hoare, it runs in expected linear time.

综合2026 年 9 月 17 日

Selection algorithm

A selection algorithm finds the k-th smallest, or i-th smallest, element of a collection of n unordered elements without sorting, studied through the minimum number of comparisons needed.

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