Algorithms Tutorial Problems 3 Greedy Strategy Problems 1. There are N robbers who have stolen N items. You would like to distribute the items among the robbers (one item per robber). You know the precise value of each item. Each robber has a particular range of values they would like their item to be worth […]
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Algorithms: COMP3121/9101 THE UNIVERSITY OF NEW SOUTH WALES Algorithms: COMP3121/9101 Aleks Ignjatović School of Computer Science and Engineering University of New South Wales DYNAMIC PROGRAMMING COMP3121/3821/9101/9801 1 / 41 Dynamic Programming The main idea of Dynamic Programming: build an optimal solution to the problem from optimal solutions for (carefully chosen) smaller size subproblems. Subproblems are
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Algorithms COMP3121/9101 THE UNIVERSITY OF NEW SOUTH WALES Algorithms COMP3121/9101 Aleks Ignjatović, .edu.au office: 504 (CSE building) Course Admin: Anahita Namvar, .edu.au School of Computer Science and Engineering University of New South Wales Sydney 1. INTRODUCTION COMP3121/3821/9101/9801 1 / 21 Introduction What is this course about? It is about designing algorithms for solving practical problems.
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Algorithms: COMP3121/9101 THE UNIVERSITY OF NEW SOUTH WALES Algorithms: COMP3121/9101 Aleks Ignjatović School of Computer Science and Engineering University of New South Wales 11. INTRACTABILITY COMP3121/9101 1 / 1 Feasibility of Algorithms We say that a (sequential) algorithm is polynomial time if for every input it terminates in polynomially many steps in the length of
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Algorithms: COMP3121/9101 THE UNIVERSITY OF NEW SOUTH WALES Algorithms: COMP3121/9101 Aleks Ignjatović, .edu.au office: 504 (CSE building) Course Admin: Anahita Namvar, comp3121. School of Computer Science and Engineering University of New South Wales Sydney 2. DIVIDE-AND-CONQUER COMP3121/3821/9101/9801 1 / 28 A Puzzle An old puzzle: We are given 27 coins of the same denomination; we
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A Companion to Data Organization Aleksandar Ignjatović 2005 c© 2 Figure 1: A medieval copy of arguably the most influential textbook ever written, Eu- clid’s Elements (Στoιχεία), from about 300 BC. It contains the oldest known algo- rithm recorded, Euclid’s algorithm for computing the Greatest Common Divisor (GCD) of two natural numbers. Figure 2: First
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Algorithms Tutorial 2 Exercises Divide and Conquer and polynomial multiplication 1. You are given a 2n × 2n board with one of its cells missing (i.e., the board has a hole); the position of the missing cell can be arbitrary. You are also given a supply of “dominoes” each containing 3 such squares; see the
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COMP3121/9101/3821/9801 Lecture Notes More on Dynamic Programming (DP) LiC: Aleks Ignjatovic THE UNIVERSITY OF NEW SOUTH WALES School of Computer Science and Engineering The University of New South Wales Sydney 2052, Australia 1 Turtle Tower You are given n turtles, and for each turtle you are given its weight and its strength. The strength of
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Algorithms: COMP3121/9101 THE UNIVERSITY OF NEW SOUTH WALES Algorithms: COMP3121/9101 School of Computer Science and Engineering University of New South Wales 9. STRING MATCHING ALGORITHMS COMP3121/3821/9101/9801 1 / 13 String Matching algorithms Assume that you want to find out if a string B = b0b1 . . . bm−1 appears as a (contiguous) substring of
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Algorithms: COMP3121/9101 THE UNIVERSITY OF NEW SOUTH WALES Algorithms: COMP3121/9101 School of Computer Science and Engineering University of New South Wales 9. STRING MATCHING ALGORITHMS COMP3121/3821/9101/9801 1 / 13 String Matching algorithms Assume that you want to find out if a string B = b0b1 . . . bm−1 appears as a (contiguous) substring of
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