General Permutations: Difference between revisions

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[[File:Generating Random Permutations - General Permutations - Space.png|1000px]]
[[File:Generating Random Permutations - General Permutations - Space.png|1000px]]


== Pareto Frontier Improvements Graph ==  
== Space-Time Tradeoff Improvements ==  


[[File:Generating Random Permutations - General Permutations - Pareto Frontier.png|1000px]]
[[File:Generating Random Permutations - General Permutations - Pareto Frontier.png|1000px]]

Revision as of 15:36, 15 February 2023

Description

Given an input string/array, generate a single random permutation of the characters/elements of the string/array.

Related Problems

Related: Cyclic Permutations

Parameters

n: number of elements

Table of Algorithms

Name Year Time Space Approximation Factor Model Reference
Fisher–Yates/Knuth shuffle 1938 $O(n^{2})$ $O(n)$ Exact Randomized Time
Durstenfeld's Algorithm 235 1964 $O(n)$ $O({1})$ Exact Randomized Time
Radix sorting method 1887 $O(n)$ $O(n)$ Exact Randomized

Time Complexity Graph

Generating Random Permutations - General Permutations - Time.png

Space Complexity Graph

Generating Random Permutations - General Permutations - Space.png

Space-Time Tradeoff Improvements

Generating Random Permutations - General Permutations - Pareto Frontier.png