Tutorial COMP20007 Design of Algorithms Week 9 Workshop 1. Rotations In the following binary trees, rotate the ¡®X¡¯ node to the right (that is, rotate it and its left child). Do these rotations make the tree more balanced, or less balanced? (a) (b) (c) XXX LYLU AVUL 2. Balance factor A node¡¯s ¡®balance factor¡¯ is […]
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Numerical Methods in Engineering (ENGR20005) Book A. Ooi a.ooi@unimelb.edu.au July 24, 2020 2 Contents 1 Mathematical Preliminaries 5 2 Root Finding 11 2.1 Findingrootsofequations …………………… 12 2.1.1 GraphicalMethod …………………… 13 2.2 Bracketingmethods………………………. 14 2.2.1 TheBisectionMethod …………………. 15 2.2.2 MethodofFalsePosition………………… 17 2.3 Openmethods…………………………. 20 2.3.1 Fixed(One)PointIteration ………………. 21 2.3.2 NewtonRaphsonMethod ……………….. 24 2.3.3 SecantMethod …………………….. 29
/* * * * * * * * Module for creating and manipulating singly-linked lists * * created for COMP20007 Design of Algorithms 2017 * by Matt Farrugia * updated in 2020 by Tobias Edwards */ // ‘include guards’: these lines (and #endif at the bottom) prevent this file // from being included multiple times.
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Tutorial COMP20007 Design of Algorithms Week 8 Workshop Solutions 1. Simple Sorting Algorithms (a) Selection Sort. When running selection sort the key idea is that for each i from 0 to n − 2 we find the smallest (or largest if we’re sorting in descending order) element in A[i . . . n − 1]
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/* problem3.c Driver function for Problem 3. Skeleton written by Grady Fitzpatrick for COMP20007 Assignment 1 2021 */ #include #include #include #include #include /* Constants */ #define OLDCHIP 0 #define NEWCHIP 1 #define MAXNUMERATOR 100 #define MAXDENOMINATOR 100 /* Used to store all the statistics for a single chip. */ struct statistics; /* Used to
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/* * Starter file for Week 2 Question 2. * * Created for COMP20007 Design of Algorithms 2020 * Template written by Tobias Edwards * Updated 20210308 by Grady Fitzpatrick * Implementation by YOUR NAME HERE. */ #include #include /* * Recall, these are called function prototypes and they declare the function * names, argument
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Tutorial COMP20007 Design of Algorithms Week 12 Workshop 1. Transitive Closure The transitive closure of a directed graph G is a new graph H which contains an edge between vertices u and v if and only if there is a path from u to v using one or more edges in the original graph G.
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Tutorial 1. Rotations (c) does improve overall balance: COMP20007 Design of Algorithms Week 10 Workshop Solutions (a) doesn’t improve overall balance: XL → LYAX AV VY (b) doesn’t improve overall balance: XL → LX UU U L → X U LX Balance factor listed below each node. Calculated by subtracting the height of the node’s
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Tutorial COMP20007 Design of Algorithms Week 5 Workshop We¡¯ll begin the tutorial by going over any graph representation questions from last week which we didn¡¯t get to. 1. Graph representations Consider the following graphs. (a) An undirected graph: (b) A directed graph: AB AB EE CD CD Give their representations as: (i) adjacency lists (ii)
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COMP2100/COMP6442 Data Structures Part II – Lecture 3] Kin Chau [ Sid Chi 1 Recap from Previous Lecture • Binary search tree • At most two children for each node • Left child node is smaller than its parent node • Right child node is greater than its parent node • Can support dynamic set
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