60 LABEL A 70 END (i) Explain what is being achieved. [4] (ii) If you replaced the line LET Y = X/3 by the line LET Y = X/5‚ how would this change the outcome of the above? [1] 2. The following algorithm is to be applied to the positive integers from 1 to 12. Step 1: Cross out every even number. Step 2: Change the state of every multiple of 3 (including 3) – i.e. for every multiple of 3‚ if it is crossed out then remove the crossing
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CPSC 413 Assignment 1 Asymptotic Notation and Summations Sample Analysis Goal This document will give a detailed analysis of Floyd-Warshall’s All-Pairs Shortest Path algorithm‚ which should give you an idea of the detail that is required in your own solution for assignment 1. Floyd’s Algorithm • Graph Problem: All-Pairs Shortest Path • Input: A weighted graph denoted by adjacency matrix W . (The vertices are assumed to be numbered from 1 to n) • Output: Matrix D containing the length
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THE THREE ELEMENTARY SORTING ALGORITHMS Bubble Sort Bubble Sort is probably one of the oldest‚ easiest‚ straight-forward‚ and inefficient sorting algorithms. It is the algorithm introduced as a sorting routine in most introductory courses on Algorithms. Bubble Sort works by comparing each element of the list with the element next to it and swapping them if required. With each pass‚ the largest of the list is "bubbled" to the end of the list whereas the smaller values sink to the bottom.
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Chapter 7 Backtracking Algorithms Truth is not discovered by proofs but by exploration. It is always experimental. — Simone Weil‚ The New York Notebook‚ 1942 Objectives • • • • • • To appreciate how backtracking can be used as a solution strategy. To recognize the problem domains for which backtracking strategies are appropriate. To understand how recursion applies to backtracking problems. To be able to implement recursive solutions to problems involving backtracking. To comprehend the minimax
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Adopt Algorithm for Distributed Constraint Optimization Pragnesh Jay Modi Information Sciences Institute & Department of Computer Science University of Southern California http://www.isi.edu/~modi Distributed Optimization Problem “How do a set of agents optimize over a set of alternatives that have varying degrees of global quality?” Examples l allocating resources l constructing schedules l planning activities Difficulties l No global control/knowledge l Localized communication l Quality
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PageRank Algorithm December 9‚ 2012 Abstract This paper dicsusses the PageRank algorithm. We carefully go through each step of the algorithm and explain each procedure. We also explain the mathematical setup of the algorithm‚ including all computations that are used in the PageRank algorithm. Some of the topics that we touch on include the following‚ but not limited to‚ are: linear algebra‚ node analysis‚ matrix theory‚ and numerical methods. But primarily this paper concerns itself with
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Top-Level Objects Communicates With Incoming Messages Outgoing Messages Door Control Panel Open Closed Control Panel Door Oven Controller Display Panel Open Closed Oven On Oven Off Temperature Oven On Oven Off Oven Controller Control Panel Start Stop Power Setting Display Panel Control Panel Oven On Oven Off Power Setting Time Explain some of the graphical user interfaces (GUIs) and communications messages that occur during the operation of a microwave
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EXPERIMENT : - 2 EXPERIMENT Verification of Bernoulli’s Energy Equation THEORY For steady incompressible flow Bernoulli’s energy equation along a streamline is written as [pic] constant where [pic] = pressure‚ [pic] = velocity and [pic] = height from datum Purpose of this experiment is to verify this expression. In the special apparatus the pipe is tapered with the cross section decreasing in the direction of flow first and then
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with producers. MRP Overview Planning Algorithm • Start at the due date for a finished product (or end item ) (Tk). • Determine the last operation‚ the time required for that operation (tk−1)‚ and the material required for that operation. • The material may come from outside‚ or from earlier operations inside the factory. • Subtract the last operation time from the due date to determine when the last operation should start. MRP Overview Planning Algorithm Tk−1 = Tk − tk−1 • The material required
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This file contains the exercises‚ hints‚ and solutions for Chapter 5 of the book ”Introduction to the Design and Analysis of Algorithms‚” 2nd edition‚ by A. Levitin. The problems that might be challenging for at least some students are marked by ◃; those that might be difficult for a majority of students are marked by . Exercises 5.1 1. Ferrying soldiers A detachment of n soldiers must cross a wide and deep river with no bridge in sight. They notice two 12-year-old boys playing in a rowboat by the
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