Algorithm算法代写代考

\documentclass[11pt, oneside]{article} \usepackage[letterpaper, margin=0.5in]{geometry} \geometry{letterpaper} \usepackage[parfill]{parskip} \usepackage{graphicx} \usepackage{amssymb} \usepackage{qtree} \usepackage{makecell} \usepackage{mathtools} \DeclarePairedDelimiter\ceil{\lceil}{\rceil} \DeclarePairedDelimiter\floor{\lfloor}{\rfloor} \DeclarePairedDelimiter\abs{\lvert}{\rvert}% \DeclarePairedDelimiter\norm{\lVert}{\rVert}% % \abs & \norm resizes brackets, starred version doesn’t \makeatletter \let\oldabs\abs \def\abs{\@ifstar{\oldabs}{\oldabs*}} % \let\oldnorm\norm \def\norm{\@ifstar{\oldnorm}{\oldnorm*}} \makeatother \newcommand\tab[1][0.5cm]{\hspace*{#1}} \title{CSC263 – Week 1, Tutorial 1} \author{Cristyn Howard} \date{Friday, January 12, 2018} \begin{document} \maketitle \begin{center} \underline{\emph{{\Large Today’s topic: Review of running time, proofs

CSC263 – Week 1, Tutorial 1 Cristyn Howard Friday, January 12, 2018 Today’s topic: Review of running time, proofs of running time. • T(n); worst-case running time; the maximum number of steps the algorithm T takes on an input of size n – t(x); the number of steps taken by the algorithm on specific input

Probability theory and average-case complexity Review of probability theory Review of probability theory: outcome • Examples: – Rolling a die and getting 1 – Rolling a die and getting 6 – Flipping three coins and getting H, H, T – Drawing two cards and getting 7 of hearts, 9 of clubs • NOTexamples: – Rolling

Programming Techniques R. Morris Editor A technique for proving min-max norms of sorting algorithms is given. One new algorithm for finding the minimum and maximum elements of a set with fewest comparisons is proved optimal with this technique. Key Words and Phrases: sorting, computational complexity, computational combinatorics CR Categories: 5.29, 5.31 A Sorting Problem and

CSC263 Tutorial 1 Big-O, Ω, Θ Trevor Brown (tabrown@cs.utoronto.ca) The algorithm takes at most c*x steps to run on the worst possible input. The algorithm takes at least c*x steps to run on the worst possible input. Big-O and Big-Ω • ManystudentsthinkBig-Ois“worstcase”andBig-Ω is “best case.” They are WRONG! Both O(x) and Ω(x) describe running time