\documentclass[10pt,a4paper]{article} % Packages \usepackage{fancyhdr} % For header and footer \usepackage{multicol} % Allows multicols in tables \usepackage{tabularx} % Intelligent column widths \usepackage{tabulary} % Used in header and footer \usepackage{hhline} % Border under tables \usepackage{graphicx} % For images \usepackage{xcolor} % For hex colours %\usepackage[utf8x]{inputenc} % For unicode character support \usepackage[T1]{fontenc} % Without this we get weird character replacements \usepackage{colortbl} % For coloured tables \usepackage{setspace} % For line height \usepackage{lastpage} % Needed for total page number \usepackage{seqsplit} % Splits long words. %\usepackage{opensans} % Can't make this work so far. Shame. Would be lovely. \usepackage[normalem]{ulem} % For underlining links % Most of the following are not required for the majority % of cheat sheets but are needed for some symbol support. \usepackage{amsmath} % Symbols \usepackage{MnSymbol} % Symbols \usepackage{wasysym} % Symbols %\usepackage[english,german,french,spanish,italian]{babel} % Languages % Document Info \author{Naomines} \pdfinfo{ /Title (methods-for-arrays.pdf) /Creator (Cheatography) /Author (Naomines) /Subject (Methods for Arrays Cheat Sheet) } % Lengths and widths \addtolength{\textwidth}{6cm} \addtolength{\textheight}{-1cm} \addtolength{\hoffset}{-3cm} \addtolength{\voffset}{-2cm} \setlength{\tabcolsep}{0.2cm} % Space between columns \setlength{\headsep}{-12pt} % Reduce space between header and content \setlength{\headheight}{85pt} % If less, LaTeX automatically increases it \renewcommand{\footrulewidth}{0pt} % Remove footer line \renewcommand{\headrulewidth}{0pt} % Remove header line \renewcommand{\seqinsert}{\ifmmode\allowbreak\else\-\fi} % Hyphens in seqsplit % This two commands together give roughly % the right line height in the tables \renewcommand{\arraystretch}{1.3} \onehalfspacing % Commands \newcommand{\SetRowColor}[1]{\noalign{\gdef\RowColorName{#1}}\rowcolor{\RowColorName}} % Shortcut for row colour \newcommand{\mymulticolumn}[3]{\multicolumn{#1}{>{\columncolor{\RowColorName}}#2}{#3}} % For coloured multi-cols \newcolumntype{x}[1]{>{\raggedright}p{#1}} % New column types for ragged-right paragraph columns \newcommand{\tn}{\tabularnewline} % Required as custom column type in use % Font and Colours \definecolor{HeadBackground}{HTML}{333333} \definecolor{FootBackground}{HTML}{666666} \definecolor{TextColor}{HTML}{333333} \definecolor{DarkBackground}{HTML}{D65ABD} \definecolor{LightBackground}{HTML}{F9EAF6} \renewcommand{\familydefault}{\sfdefault} \color{TextColor} % Header and Footer \pagestyle{fancy} \fancyhead{} % Set header to blank \fancyfoot{} % Set footer to blank \fancyhead[L]{ \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{C} \SetRowColor{DarkBackground} \vspace{-7pt} {\parbox{\dimexpr\textwidth-2\fboxsep\relax}{\noindent \hspace*{-6pt}\includegraphics[width=5.8cm]{/web/www.cheatography.com/public/images/cheatography_logo.pdf}} } \end{tabulary} \columnbreak \begin{tabulary}{11cm}{L} \vspace{-2pt}\large{\bf{\textcolor{DarkBackground}{\textrm{Methods for Arrays Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{Naomines} via \textcolor{DarkBackground}{\uline{cheatography.com/150402/cs/32595/}}} \end{tabulary} \end{multicols}} \fancyfoot[L]{ \footnotesize \noindent \begin{multicols}{3} \begin{tabulary}{5.8cm}{LL} \SetRowColor{FootBackground} \mymulticolumn{2}{p{5.377cm}}{\bf\textcolor{white}{Cheatographer}} \\ \vspace{-2pt}Naomines \\ \uline{cheatography.com/naomines} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Published 16th June, 2022.\\ Updated 16th June, 2022.\\ Page {\thepage} of \pageref{LastPage}. \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Sponsor}} \\ \SetRowColor{white} \vspace{-5pt} %\includegraphics[width=48px,height=48px]{dave.jpeg} Measure your website readability!\\ www.readability-score.com \end{tabulary} \end{multicols}} \begin{document} \raggedright \raggedcolumns % Set font size to small. Switch to any value % from this page to resize cheat sheet text: % www.emerson.emory.edu/services/latex/latex_169.html \footnotesize % Small font. \begin{multicols*}{3} \begin{tabularx}{5.377cm}{p{0.4977 cm} p{0.4977 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Improved Selection Sort}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{In a selection sort - the algorithm takes the minimum on every pass on the array and places it at its correct position. The idea is that the maxium is also taken and placed in its correct position. So in every pass, we keep track of both max and min, sorting the array from both ends.} \tn % Row Count 6 (+ 6) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{p{0.4977 cm} p{0.4977 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Code for Improved Selection Sort}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{for(int i = 0; i \textless{} size -1; i++)} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{int pos = i} \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{for(int k = i+1; k\textless{}size; k++)} \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{if(arr{[}pos{]} \textgreater{} arr{[}k{]})} \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{pos = k} \tn % Row Count 5 (+ 1) % Row 5 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{end k loop} \tn % Row Count 6 (+ 1) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{arr {[}i{]} = int temp} \tn % Row Count 7 (+ 1) % Row 7 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{arr {[}i{]} = arr{[}pos{]}} \tn % Row Count 8 (+ 1) % Row 8 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{arr{[}pos{]} = temp} \tn % Row Count 9 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{p{0.4977 cm} p{0.4977 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Bubble Sort with Flag}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{Bubble sorts swap adjacent elements and swaps them if the first is smaller or greater than the other. At the end the smallest and largest will have 'bubbled' to the end of the array, this process continues with the next smallest and largest element to second last position} \tn % Row Count 6 (+ 6) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{1.44333 cm} x{3.53367 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Code for Bubble Sort with a Flag}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{boolean sorted;} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{int i = size - 1;} \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} do \{ & do while must execute at least once to ensure the array is sorted \tn % Row Count 5 (+ 3) % Row 3 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{sorted = true;} \tn % Row Count 6 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{for(int j = 0; j \textless{} i; j++)\{} \tn % Row Count 7 (+ 1) % Row 5 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{if(strArr{[}j{]}.compareTo(strArr{[}j+1{]})\textgreater{}0)\{} \tn % Row Count 8 (+ 1) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{String temp = strArr{[}j{]};} \tn % Row Count 9 (+ 1) % Row 7 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{strArr{[}j{]} = strArr{[}j+1{]};} \tn % Row Count 10 (+ 1) % Row 8 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{strArr{[}j+1{]} = temp;} \tn % Row Count 11 (+ 1) % Row 9 \SetRowColor{white} sorted false; \}\} & if any swapping occurs, sorted is set to false. Since the array is not complete, thus needs to be do while must execute again to check the array is sorted. \tn % Row Count 17 (+ 6) % Row 10 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{i-{}-;\}} \tn % Row Count 18 (+ 1) % Row 11 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{while (sorted = false);} \tn % Row Count 19 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{Sequential searching with a flag} \tn \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{p{0.4977 cm} p{0.4977 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Sequential search / Linear search}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{If we want to see if an array has a specific element we compare the first element and the value until we find the matching value or come to the end of the array.} \tn % Row Count 4 (+ 4) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{p{0.4977 cm} p{0.4977 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Code for Sequential Search}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{int pos = 0;} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{String temp = "";} \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{for(int i = 0; i\textless{}size; i++)\{} \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{if(strArr{[}i{]}.equalsIgnoreCase(st))\{} \tn % Row Count 4 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{pos = i;} \tn % Row Count 5 (+ 1) % Row 5 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{temp = strArr{[}i{]};\}\}} \tn % Row Count 6 (+ 1) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{return temp;} \tn % Row Count 7 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{p{0.4977 cm} p{0.4977 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Binary Search}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{This algorithm assumes the array is already sorted and then divides the array in half. The search is done in the half of the array where the element resides. The process is repeated until the element is found.} \tn % Row Count 5 (+ 5) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{5.377cm}{x{2.43873 cm} x{2.53827 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{5.377cm}}{\bf\textcolor{white}{Code for Binary Search}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{bubbleSortWithFlag();} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{int mid = 0, start = 0, pos = -1, end = size -1;} \tn % Row Count 2 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{boolean found = false;} \tn % Row Count 3 (+ 1) % Row 3 \SetRowColor{white} while(start \textless{}= end \&\& found == false)\{ & the while loop checks if the element has been found and checks for the end of the array \tn % Row Count 8 (+ 5) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{mid = (start + end) /2} \tn % Row Count 9 (+ 1) % Row 5 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{if(st.compareTo(strArr{[}mid{]})\textless{}0)} \tn % Row Count 10 (+ 1) % Row 6 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{end = mid -1;} \tn % Row Count 11 (+ 1) % Row 7 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{\}else\{} \tn % Row Count 12 (+ 1) % Row 8 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{found = true;} \tn % Row Count 13 (+ 1) % Row 9 \SetRowColor{white} \mymulticolumn{2}{x{5.377cm}}{pos = mid;\}\}} \tn % Row Count 14 (+ 1) % Row 10 \SetRowColor{LightBackground} \mymulticolumn{2}{x{5.377cm}}{return pos;} \tn % Row Count 15 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}