Proving Correctness of Greedy Algorithms COMP3121/9101 21T3 November 27, 2021 This document presents two approaches to prove the correctness of the greedy algorithm presented in lecture 6 for the Activity Selection Problem. These two proofs are written in full detail, using notation to be as precise as possible. Assignment submissions can use worded arguments instead, […]
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CS570 Analysis of Algorithms Spring 2016 Exam III Name: _____________________ Student ID: _________________ Email Address:_______________ _____Check if DEN Student Maximum Problem 1 20 Problem 2 15 Problem 3 20 Problem 4 20 Problem 5 10 Problem 6 15 Total 100 Received Instructions: 1. This is a 2-hr exam. Closed book and notes 2. If a
THE UNIVERSITY OF NEW SOUTH WALES 2. DIVIDE-AND-CONQUER Raveen de Silva, office: K17 202 Course Admin: , School of Computer Science and Engineering UNSW Sydney Term 3, 2021 Table of Contents 1. Preliminaries 1.1 Asymptotic notation 1.2 Logarithms 2. Divide and Conquer 2.1 Counting inversions 2.2 Recurrences 3. Puzzle Table of Contents 1. Preliminaries 1.1
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THE UNIVERSITY OF NEW SOUTH WALES 5. THE FAST FOURIER TRANSFORM Raveen de Silva, office: K17 202 Course Admin: , School of Computer Science and Engineering UNSW Sydney Term 3, 2021 Table of Contents 1. Revision 2. The Fast Fourier Transform 3. Puzzle Our strategy to multiply polynomials fast Given two polynomials of degree at
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CS570 Analysis of Algorithms Spring 2015 Exam III Name: _____________________ Student ID: _________________ Email Address:_______________ _____Check if DEN Student Maximum Problem 1 20 Problem 2 16 Problem 3 16 Problem 4 16 Problem 5 16 Problem 6 16 Total 100 Received Instructions: 1. This is a 2-hr exam. Closed book and notes 2. If a
THE UNIVERSITY OF NEW SOUTH WALES 6. THE GREEDY METHOD Raveen de Silva, office: K17 202 Course Admin: , School of Computer Science and Engineering UNSW Sydney Term 3, 2021 Table of Contents 1. Introduction 2. Example Problems 3. Applications to Graphs 3.1 Single Source Shortest Paths 3.2 Minimum Spanning Trees 4. Puzzle The Greedy
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THE UNIVERSITY OF NEW SOUTH WALES 9. STRING MATCHING Raveen de Silva, office: K17 202 Course Admin: , School of Computer Science and Engineering UNSW Sydney Term 3, 2021 Table of Contents 1. Introduction 2. Hashing 3. Finite Automata 4. Puzzle String Matching algorithms Suppose you have an alphabet S = {s0,s1,…,sd−1} of d characters.
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CS570 Fall 2017: Analysis of Algorithms Points Problem 1 20 Problem 2 15 Problem 3 10 Problem 4 15 Problem 5 15 Problem 6 10 Problem 7 15 Total 100 Exam III Instructions: 1. This is a 2-hr exam. Closed book and notes 2. If a description to an algorithm or a proof is required
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Discussion 12 1. The bin packing problem is as follows. You have an infinite supply of bins, each of which can hold M maximum weight. You also have n objects, each of which has a (possibly distinct) weight wi (any given wi is at most M). Our goal is to partition the objects into bins,
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THE UNIVERSITY OF NEW SOUTH WALES 1. INTRODUCTION Raveen de Silva, office: K17 202 Course Admin: , School of Computer Science and Engineering UNSW Sydney Term 3, 2021 Table of Contents 1. Admin 2. Solving problems using algorithms 3. Proofs 4. An example of the role of proofs 5. Puzzles Prerequisites Understanding of fundamental data
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