PPT-Quicksort

CIS 606 Spring 2010 Quicksort Worstcase running time Θ n 2 Expected running time Θ n lg n Constants hidden in Θ n lg n are small Sorts in place. Zhonghua. . Qu. and . Ovidiu. . Daescu. December. . 24, 2009. University of Texas at Dallas. Introduction. Assisting Visualization System. Implementation. . Examples. Conclusion. Outline. Introduction. 1. Outline. More pattern matching. Function values and anonymous functions. Higher-order functions and currying. Predefined higher-order functions. 2. More Pattern-Matching. Last time we saw pattern-matching in function definitions:. 27 . – Feb 3, . 2010. Multicore. (and Shared Memory) Programming with . Cilk. ++. Multicore and NUMA architectures. Multithreaded Programming. Cilk++ as a concurrency platform. Divide and conquer paradigm for Cilk++. Quicksort. . [CLRS, kapitel 7]. Gerth Stølting Brodal. Sandsynligheden for at slå krone. 1/2. Quicksort:. Sorter . A. [. p. ... r. ]. Hoare, 1961. Worst-case tid . O(. n. 2. ). A. p. r. x. A. p. r. Wednesday, . June 1, 2011. How do you sort when you can only compare two things?. Sorting Demo. http://gailcarmichael.com/processing/bottlesort/. Sort. Part One:. Find the lightest . bottle using the scale. Mathematical Definition. Types of Sorting Algorithms. Permutation Sort. Cost of Sorting Algorithms. 2 Main Sorting Functions. Simple Sorts. Insertion. Bubble. Selection. Insertion Sort: Example. Insertion Sort: Example. To seal: moisten flap,. fold over, and seal. Three recursive algorithms. Sorting. GCD (greatest common divisor). Exponentiation. Used in cryptography, which protects information and communication. Sorting a list. To seal: moisten flap,. fold over, and seal. 1. Three recursive algorithms. Sorting. GCD (greatest common divisor). Exponentiation. Used in cryptography, which protects information and communication. Quicksort. Haidong. . Xue. Summer 2012, at GSU. Review of insertion sort and merge sort. Insertion sort. Algorithm. Worst case number of comparisons = O(?). Merge sort. Algorithm. Worst case number of comparisons = O(?). Outline In this topic we will look at quicksort: The idea behind the algorithm The run time and worst-case scenario Strategy for avoiding the worst-case: median-of-three Implementing quicksort in place Plackett-Luce. : . A Dueling Bandits Approach . Balázs. . Szörényi. Technion. , Haifa, Israel /. MTA-SZTE Research Group on. Artificial Intelligence, . Hungary. Róbert. . Busa-Fekete. , . Adil. Plackett-Luce. : . A Dueling Bandits Approach . Balázs. . Szörényi. Technion. , Haifa, Israel /. MTA-SZTE Research Group on. Artificial Intelligence, . Hungary. Róbert. . Busa-Fekete. , . Adil. Roadmap. 2. Last time. Path problems. Shortest-distance problem. Started on concrete semantics. Showing you the “how,” but not the “why”. Today: the “why”. Via an optimization example. 3. We have discussed theoretical analysis of algorithms mostly in terms of asymptotic worst case and average case big O complexities. What we often care about even more is what will our typical or average case complexity be for our actual problem of interest.