\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{Terracotta45} \pdfinfo{ /Title (algorithm.pdf) /Creator (Cheatography) /Author (Terracotta45) /Subject (Algorithm 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{Algorithm Cheat Sheet}}}} \\ \normalsize{by \textcolor{DarkBackground}{Terracotta45} via \textcolor{DarkBackground}{\uline{cheatography.com/209738/cs/45155/}}} \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}Terracotta45 \\ \uline{cheatography.com/terracotta45} \\ \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 November, 2024.\\ 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}{Circular Counter}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{a = {[}'1', '2', '3', '4', '5', '6', '7', '8', '9'{]} \newline \newline \newline def circ\_counter(int\_list, skip): \newline skip = skip - 1 \# list starts with 0 index \newline idx = 0 \newline while len(int\_list) \textgreater{} 0: \newline \# hashing to keep changing the index to every 3rd \newline idx = (skip + idx) \% len(int\_list) \newline \seqsplit{print(int\_list.pop(idx))} \newline \newline \newline circ\_counter(a, 3)} \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}{Flatten Array}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{from functools import reduce \newline \newline \newline def list\_flatten(l): \newline def flatten(pv, cv): \newline if not isinstance(cv, list): \newline return pv + {[}cv{]} \newline else: \newline return pv + list\_flatten(cv) \newline \newline return reduce(flatten, l, {[}{]}) \newline \newline \newline print(list\_flatten({[}2, 1, {[}3, {[}4, 5{]}, 6{]}, 7, {[}8{]}{]})) \newline print('output should be {[}2, 1, 3, 4, 5, 6, 7, 8{]}')} \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}{Three Sum Array}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{\# TODO: FFT implementation for MlogM algo \newline \newline def three\_sum(nums): \newline res = {[}{]} \newline nums.sort() \newline for i in range(len(nums) - 2): \newline if i \textgreater{} 0 and nums{[}i{]} == nums{[}i - 1{]}: \newline continue \newline l, r = i + 1, len(nums) - 1 \newline while l \textless{} r: \newline s = nums{[}i{]} + nums{[}l{]} + nums{[}r{]} \newline if s \textgreater{} 0: \newline r -= 1 \newline elif s \textless{} 0: \newline l += 1 \newline else: \newline \# found three sum \newline res.append({[}nums{[}i{]}, nums{[}l{]}, nums{[}r{]}{]}) \newline \# remove duplicates \newline while l \textless{} r and nums{[}l{]} == nums{[}l + 1{]}: \newline l += 1 \newline while l \textless{} r and nums{[}r{]} == nums{[}r - 1{]}: \newline r -= 1 \newline l += 1 \newline r -= 1 \newline return res \newline \newline \newline if \_\_name\_\_ == "\_\_main\_\_": \newline x = {[}-1, 0, 1, 2, -1, -4{]} \newline print("input: ", x) \newline print("output should be: ", {[}{[}-1, -1, 2{]}, {[}-1, 0, 1{]}{]}) \newline print("output: ", three\_sum(x))} \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}{Summary Ranges}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{def summary\_ranges(nums): \newline res = {[}{]} \newline l = len(nums) \newline if l == 1: \newline return {[}str(nums{[}0{]}){]} \newline i = 0 \newline while i \textless{} l: \newline start = nums{[}i{]} \newline while i + 1 \textless{} l and nums{[}i + 1{]} - nums{[}i{]} == 1: \newline i += 1 \newline if nums{[}i{]} != start: \newline res.append(str(start) + "-\textgreater{}" + str(nums{[}i{]})) \newline else: \newline res.append(str(start)) \newline i += 1 \newline return res \newline \newline \newline a = {[}0, 1, 2, 4, 5, 7{]} \newline print("input: ") \newline print(a) \newline print("output should be") \newline print({[}"0-\textgreater{}2", "4-\textgreater{}5", "7"{]}) \newline print("output: ") \newline print(summary\_ranges(a))} \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}{Rotate Arrays}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{def rotate(arr, k): \newline n = len(arr) \newline k = k \% n \newline return arr{[}n - k:{]} + arr{[}:n - k{]} \newline \newline \newline a = {[}1, 2, 3, 4, 5, 6, 7{]} \newline print("in: ", a) \newline print("expected: ", {[}5, 6, 7, 1, 2, 3, 4{]}) \newline print("out: ", rotate(a, 3))} \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}{Longest Non Repeat}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{from typing import Dict \newline \newline \newline def longest\_non\_repeat(s: str) -\textgreater{} int: \newline start, maxlen = 0, 0 \newline used\_char = \{\} \# type: Dict{[}str, int{]} \newline for i, char in enumerate(s): \newline if char in used\_char and start \textless{}= used\_char{[}char{]}: \newline start = used\_char{[}char{]} + 1 \newline else: \newline maxlen = max(maxlen, i - start + 1) \newline used\_char{[}char{]} = i \newline return maxlen \newline \newline \newline a = "abcabcdefbb" \newline print("input: ", a) \newline print("result: ", longest\_non\_repeat(a)) \newline print("output should be 6")} \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}{Missing Ranges}} \tn \SetRowColor{LightBackground} \mymulticolumn{1}{x{8.4cm}}{def missing\_ranges(arr, low, high): \newline hashed = set(arr) \newline for n in range(low, high): \newline if n not in hashed: \newline print(n) \newline \newline \newline inpt = {[}10, 12, 11, 15{]} \newline low, hi = 10, 15 \newline print("input: ", inpt) \newline print("result: ") \newline missing\_ranges(inpt, low, hi)} \tn \hhline{>{\arrayrulecolor{DarkBackground}}-} \end{tabularx} \par\addvspace{1.3em} % That's all folks \end{multicols*} \end{document}