Revision as of 11:15, 2 November 2020 edit Frap (talk \| contribs) Extended confirmed users, File movers, Pending changes reviewers, Rollbackers 35,587 edits →Min cut: format code ← Previous edit		Revision as of 19:02, 21 November 2020 edit undo MichaelBlondin (talk \| contribs) 44 edits →Quicksort: The claim was false, it runs in O(n log n) regardless of the input when using a linear implementation of the median Next edit →
Line 83: ===Quicksort=== [[Quicksort]] is a familiar, commonly used algorithm in which randomness can be useful. ~~Any~~Many deterministic ~~version~~versions of this algorithm ~~requires~~require ''[[Big O notation\|O]]''(''n''<sup>2</sup>) time to sort ''n'' numbers for some well-defined class of degenerate inputs (such as an already sorted array), with the specific class of inputs that generate this behavior defined by the protocol for pivot selection. However, if the algorithm selects pivot elements uniformly at random, it has a provably high probability of finishing in ''O''(''n'' log ''n'') time regardless of the characteristics of the input. ===Randomized incremental constructions in geometry===

Randomized algorithm: Difference between revisions