\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{menos} \pdfinfo{ /Title (js-algorithms.pdf) /Creator (Cheatography) /Author (menos) /Subject (JS Algorithms 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}{A3A3A3} \definecolor{LightBackground}{HTML}{F3F3F3} \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{JS Algorithms Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{menos} via \textcolor{DarkBackground}{\uline{cheatography.com/153057/cs/32946/}}} \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}menos \\ \uline{cheatography.com/menos} \\ \end{tabulary} \vfill \columnbreak \begin{tabulary}{5.8cm}{L} \SetRowColor{FootBackground} \mymulticolumn{1}{p{5.377cm}}{\bf\textcolor{white}{Cheat Sheet}} \\ \vspace{-2pt}Not Yet Published.\\ Updated 30th 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*}{2} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Sorting - Time Complexities}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{} \tn % Row Count 0 (+ 0) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{{\bf{Merge Sort}}} \tn % Row Count 1 (+ 1) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{{\bf{Quick Sort}}} \tn % Row Count 2 (+ 1) % Row 3 \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{{\bf{Bubble Sort}}} \tn % Row Count 3 (+ 1) % Row 4 \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{{\bf{Insertion Sort}}} \tn % Row Count 4 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Insertion Sort}} \tn % Row 0 \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{Split the collection into an ordered \& unordered part.} \tn % Row Count 2 (+ 2) % Row 1 \SetRowColor{white} \mymulticolumn{1}{x{8.4cm}}{At firs the ordered part is just the first element.} \tn % Row Count 4 (+ 2) % Row 2 \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{Start from the first unordered index and move the item left until you find its place.} \tn % Row Count 6 (+ 2) \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Insertion Sort}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{function insertionSort(arr) \{ \newline let currentVal \newline for (let i = 1; i \textless{} arr.length; i++) \{ \newline currentVal = arr{[}i{]} \newline for (let j = i - 1; j \textgreater{}= 0 \&\& arr{[}j{]} \textgreater{} currentVal; j-{}-) \{ \newline arr{[}j+1{]} = arr{[}j{]} \newline \} \newline arr{[}j+1{]} = currentVal \newline \} \newline return arr \newline \}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Quick Sort}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{// place pivot in the right index and return pivot index \newline function pivot(arr: number{[}{]}, start = 0, end = arr.length - 1) \{ \newline const pivot = arr{[}start{]}; \newline let pivotIndex = start; \newline \newline for (let i = start + 1; i \textless{} end; i++) \{ \newline if (arr{[}i{]} \textless{} pivot) \{ \newline pivotIndex++; \newline {[}arr{[}pivotIndex{]}, arr{[}i{]}{]} = {[}arr{[}i{]}, arr{[}pivotIndex{]}{]}; \newline \} \newline \} \newline {[}arr{[}start{]}, arr{[}pivotIndex{]}{]} = {[}arr{[}pivotIndex{]}, arr{[}start{]}{]}; \newline \} \newline \newline function quickSort(arr: number{[}{]}, start = 0, end = arr.length - 1) \{ \newline if (left \textless{} right) \{ \newline const pivot = pivot(arr, start, end); \newline \newline // left \newline quickSort(arr, start, pivotIndex - 1); \newline // right \newline quickSort(arr, pivotIndex + 1, end); \newline \} \newline \newline return arr; \newline \}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Merge Sort}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{function merge(arr1: number{[}{]}, arr2: number{[}{]}): number{[}{]} \{ \newline let result = {[}{]} \newline let i = 0 \newline let j = 0 \newline \newline while (i \textless{} arr1.length \&\& j \textless{} arr2.length) \{ \newline if (arr1{[}i{]} \textless{} arr2{[}j{]}) \{ \newline result.push(arr1{[}i{]}) \newline i++ \newline \} else \{ \newline result.push(arr2{[}j{]}) \newline j++ \newline \} \newline \} \newline \newline while (i \textless{} arr1.length) \{ \newline result.push(arr1{[}i{]}) \newline i++ \newline \} \newline while (j \textless{} arr2.length) \{ \newline result.push(arr2{[}j{]}) \newline j++ \newline \} \newline \newline return result \newline \} \newline \newline function mergeSort(arr: number{[}{]}): number{[}{]} \{ \newline if (arr.length \textless{}= 1) return arr \newline \newline const middle = Math.floor(arr.length / 2) \newline \newline const left = mergeSort(arr.slice(0, middle)) \newline const right = \seqsplit{mergeSort(arr.slice(middle))} \newline \newline return merge(left, right) \newline \}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{x{4 cm} x{4 cm} } \SetRowColor{DarkBackground} \mymulticolumn{2}{x{8.4cm}}{\bf\textcolor{white}{BFS vs DFS}} \tn % Row 0 \SetRowColor{LightBackground} {\bf{Breadth-first}} & {\bf{Depth-first}} \tn % Row Count 1 (+ 1) % Row 1 \SetRowColor{white} Use for finding the shortest path between 2 nodes & Getting all the way to the end of a tree \tn % Row Count 4 (+ 3) % Row 2 \SetRowColor{LightBackground} Level-order & Recursive \tn % Row Count 5 (+ 1) % Row 3 \SetRowColor{white} Better when target is far from the source & Better when target is closer \tn % Row Count 8 (+ 3) % Row 4 \SetRowColor{LightBackground} Generally slower & Generally faster \tn % Row Count 9 (+ 1) % Row 5 \SetRowColor{white} Queue (FIFO) & Stack (LIFO) \tn % Row Count 10 (+ 1) \hhline{>{\arrayrulecolor{DarkBackground}}--} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{BFS: Max Depth of Binary Tree}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{var maxDepth = function(root) \{ \newline \newline if (!root) return 0 \newline \newline let queue = {[}root{]} \newline let max = 0 \newline \newline while (queue.length \textgreater{} 0) \{ \newline \newline max++ \newline let len = queue.length \newline \newline for (let i = 0; i \textless{} len; i++) \{ \newline let node = queue.shift() \newline if (node.left) queue.push(node.left) \newline if (node.right) queue.push(node.right) \newline \} \newline \newline \} \newline \newline return max \newline \newline \};} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Binary Search}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{function binarySearch(sortedArr: number{[}{]}, value: number): number \{ \newline let left = 0; \newline let right = sortedArr.length - 1; \newline \newline while (left \textless{}= right) \{ \newline const middle = Math.round((right + left) / 2); \newline \newline if (sortedArr{[}middle{]} \textgreater{} value) \{ \newline right = middle - 1; \newline \} else if (sortedArr{[}middle{]} \textless{} value) \{ \newline left = middle + 1; \newline \} else \{ \newline return middle; \newline \} \newline \} \newline return -1; \newline \}} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} \begin{tabularx}{8.4cm}{X} \SetRowColor{DarkBackground} \mymulticolumn{1}{x{8.4cm}}{\bf\textcolor{white}{Min Window Substring (Sliding window)}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{/{\emph{* \newline Given two strings s and t of lengths m and n respectively, \newline return the minimum window substring of s such that \newline every character in t (including duplicates) \newline is included in the window. \newline If there is no such substring, return the empty string "". \newline }}/ \newline var minWindow = function(s, t) \{ \newline \newline let map = new Map() \newline \newline for (let c of t) \{ \newline map.set(c, map.has(c) ? map.get(c) + 1 : 1) \newline \} \newline \newline let start = 0 \newline let end = 0 \newline let charsNeeded = t.length \newline let minSubstring = s + ' ' \newline \newline while (end \textless{} s.length) \{ \newline \newline if (map.has(s{[}end{]})) \{ \newline map.set(s{[}end{]}, map.get(s{[}end{]}) - 1) \newline if (map.get(s{[}end{]}) \textgreater{}= 0) \{ \newline charsNeeded-{}- \newline \} \newline \} \newline \newline while(charsNeeded === 0 \&\& start \textless{}= end) \{ \newline let currentString = s.slice(start, end+1) \newline if (currentString.length \textless{}= minSubstring.length) \{ \newline minSubstring = currentString \newline \} \newline \newline if (map.has(s{[}start{]})) \{ \newline map.set( s{[}start{]}, map.get(s{[}start{]}) + 1 ) \newline if (map.get(s{[}start{]}) \textgreater{} 0) \{ \newline charsNeeded++ \newline \} \newline \} \newline start++ \newline \} \newline \newline end++ \newline \} \newline \newline return minSubstring.length \textgreater{} s.length ? '' : minSubstring \newline \};} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}