PPT-Lecture 39: searching and sorting

Adapted from slides by Marty Stepp and Stuart Reges CSc 110 Spring 2017 Using binarysearch index 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 a 4 2 7 9 15 19 25 28 30 36 42 50 56 68 85 . 1 Overview In this lecture we discuss the notion of lower bounds in particular for the problem of sorting We show that any deterministic comparisonbased sorting algo rithm must take 8486 log time to sort an array of elements in the worst case We th 1 Overview In this lecture we discuss the notion of lower bounds in particular for the problem of sorting We show that any deterministic comparisonbased sorting algo rithm must take 8486 log time to sort an array of elements in the worst case We th P. arallel Sorting. Shantanu. . Dutt. ECE Dept.. UIC. Acknowledgement. Adapted from Chapter 9 slides of the text, by A. . Grama. w/ a few changes, augmentations and corrections. Topic Overview . Issues in Sorting on Parallel Computers . 6.1 Bits and digits Extracting bits is easy in C 6.2 Extracting digits with macros Ex: Single-byte access: bitsbyte = 8 x = 0X61626364Single-bit access: bitsbyte = 1 digit(x, 11) Algorithms. Step by step recipe to do a task…. Algorithms. Step by step recipe to do a task where:. Operations are . computable. Operations are . unambiguous. Operations are . well ordered. Finite number . 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. Bubble Sort . of an array. Inefficient --- . O ( N. 2. ). easy to code. , . hence unlikely to contain errors. Algorithm. for . outerloop. = 1 to N. for . innerloop. = 0 to N-2. if ( item[. -The Sorting Hat, . Harry Potter and . the Sorcerer's Stone. Searching. Given an array of ints, find the index of an int key. For key = 27 and the above array, a search function returns 2. If it's not present, often returns negative value. David Woodruff. Carnegie Mellon University. Theme: Tight Upper and Lower Bounds. Number of comparisons to sort an array. Number of exchanges to sort an array. Number of comparisons needed to find the largest and second-largest elements in an array. Lecture 18 SORTING in Hardware SSEG GPO2 Sorting Switches LED Buttons GPI2 Sorting - Required I nterface Sort Clock R eset n DataIn N DataOut N Done RAdd L WrInit S (0=initialization 1=computations) The Desired Brand Effect Stand Out in a Saturated Market with a Timeless Brand The Desired Brand Effect Stand Out in a Saturated Market with a Timeless Brand The Desired Brand Effect Stand Out in a Saturated Market with a Timeless Brand The Desired Brand Effect Stand Out in a Saturated Market with a Timeless Brand