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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Beer’s Law & Colorimetry Angela Carraway‚ Ph.D. and Peter Jeschofnig‚ Ph.D. Version 42-0140-00-01 Lab Report Assistant This document is not meant to be a substitute for a formal laboratory report. The Lab Report Assistant is simply a summary of the experiment’s questions‚ diagrams if needed‚ and data tables that should be addressed in a formal lab report. The intent is to facilitate students’ writing
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In today’s lecture 1 Recall... Computational Complexity Time Complexity 2 Example: Binary Search Best case Worst case Average case 3 Exercise: Linear Search 4 Example: Bubble sort Most of the content is based on Section 2.3 of Rosen’s Discrete Mathematics‚ and 2.2 of Cormen et al. Introduction to Algorithms. CS204/209 — Lecture 4: Best‚ Worst‚ and Average Case Complexity 1/11 Recall... Computational Complexity Our goal is to be able to compare algorithms and determine which
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Insertion Sort Insertion sort belongs to the O(n2) sorting algorithms. Unlike many sorting algorithms with quadratic complexity‚ it is actually applied in practice for sorting small arrays of data. For instance‚ it is used to improve quicksort routine. Some sources notice‚ that people use same algorithm ordering items‚ for example‚ hand of cards. Algorithm Insertion sort algorithm somewhat resembles selection sort. Array is imaginary divided into two parts - sorted one and unsorted one. At the
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Larvicidal Activity of Lantana camara L. Leaf Extract Liquid Fractions Against Aedes aegypti I. Introduction • Start with malaria/dengue statistics for dramatic effect‚ then transition to the title of the study • Include in-‐text citations • Include the studies & concentrations used by these studies at Slide 11 • Replace “chemical” with “synthetic”
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November 9‚ 2014 Madison Phillips Report Submitted: November 9‚ 2014 Title: Beers Law and Calorimetry Purpose: The purpose of this experiment is to apply Beer’s Law by analyzing samples provided by Q laboratory to determine their absorbance and prepare a Beer’s law plot. Molarity of these samples was also calculated to determine concentration and percent error rate. Students also analyzed the concentration of blue dye #1 to determine the concentration of blue dye #1 in a commercial blue dye drink
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By speed post F.No. 2-35/ 2009-AHT/FF Government of India Ministry of Agriculture Department of Animal Husbandry‚ Dairying & Fisheries 406‚ B-Wing‚Shastri Bhavan‚ New Delhi-110001 Dated 7th December 2009. Subject:- Cattle Feed (Regulation of Manufacture and Sale) Order‚ 2009. ********** Please find enclosed a final draft on Cattle Feed (Regulation of Manufacture and Sale) Order‚ 2009 for necessary comments/
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1) What it means. Simple version - imagine I have 1 million bottles in my drinks cupboard (which alas I do not ). If one of them is vodka and the rest are gin‚ then the vodka is "1 part per million". If I go and swap some more gin bottles for vodka‚ so that I end up with 23 bottles of vodka and 999 977 gin‚ (so still a million in total)‚ then the vodka is now "23 parts per million" 2) Relating it to other units Returning to my hypothetical drinks cupboard - or a slightly more realistic version
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Problem Statement Four knights‚ 2 white‚ and 2 black are sitting on a 3x3 chessboard. The knights were really bored‚ since they spent all of their time sitting on the chessboard doing nothing‚ so they decided to try switching places so that the white knights would end up where the black knights started our and the black knights would end up where the white knights started out. To do this‚ the knights had to follow the following rules: - No two chess pieces can occupy the same square at the
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POW #12: The Big Knight Switch PROBLEM STATEMENT: For POW 12‚ I am asked if four knight’s‚ (two black and two white) can switch places‚ while perpendicular to each other‚ (meaning two black knights are on one side of a 3x3 chess board with two white knights adjacent to them. They‚ were feeling restless and decided to attempt to see if this were possible. Keeping in mind the following guidelines: · No two pieces can occupy the same square · Knight’s can pass or jump over each other
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