\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{alexk12}
\pdfinfo{
  /Title (algorithms.pdf)
  /Creator (Cheatography)
  /Author (alexk12)
  /Subject (Algorithms Cheat Sheet)
}

% Lengths and widths
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\addtolength{\voffset}{-2cm}
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\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
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\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{Algorithms Cheat Sheet}}}} \\
    \normalsize{by \textcolor{DarkBackground}{alexk12} via \textcolor{DarkBackground}{\uline{cheatography.com/149245/cs/32446/}}}
\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}alexk12 \\
  \uline{cheatography.com/alexk12} \\
  \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 13th 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}{x{1.54549 cm} x{0.87717 cm} x{0.87717 cm} x{0.87717 cm} }
\SetRowColor{DarkBackground}
\mymulticolumn{4}{x{5.377cm}}{\bf\textcolor{white}{Complexities}}  \tn
% Row 0
\SetRowColor{LightBackground}
Name & Worst case & Average case & Best case \tn 
% Row Count 2 (+ 2)
% Row 1
\SetRowColor{white}
Fractional Knapsack & \seqsplit{O(n*log(n))} &  &  \tn 
% Row Count 4 (+ 2)
% Row 2
\SetRowColor{LightBackground}
0-1 Knapsack & O(n*W) &  &  \tn 
% Row Count 5 (+ 1)
% Row 3
\SetRowColor{white}
MergeSort & \seqsplit{O(n*log(n))} &  &  \tn 
% Row Count 7 (+ 2)
% Row 4
\SetRowColor{LightBackground}
\seqsplit{Selection-Sort} & O(n\textasciicircum{}2) &  &  \tn 
% Row Count 8 (+ 1)
% Row 5
\SetRowColor{white}
\seqsplit{Insertion-sort} & O(n\textasciicircum{}2) &  &  \tn 
% Row Count 9 (+ 1)
% Row 6
\SetRowColor{LightBackground}
Heap-sort & \seqsplit{O(n*log(n))} &  &  \tn 
% Row Count 11 (+ 2)
% Row 7
\SetRowColor{white}
Quick-sort & O(n\textasciicircum{}2) &  & \seqsplit{O(n*log(n))} \tn 
% Row Count 13 (+ 2)
% Row 8
\SetRowColor{LightBackground}
\seqsplit{ComparisonBased} Sort &  &  & \seqsplit{Ω(n*log(n))} \tn 
% Row Count 15 (+ 2)
% Row 9
\SetRowColor{white}
BucketSort & O(n + N) &  &  \tn 
% Row Count 16 (+ 1)
% Row 10
\SetRowColor{LightBackground}
RadixSort & O(d*(n + N)) &  &  \tn 
% Row Count 18 (+ 2)
% Row 11
\SetRowColor{white}
QuickSelect & O(n\textasciicircum{}2) & O(n) & O(n) \tn 
% Row Count 19 (+ 1)
\hhline{>{\arrayrulecolor{DarkBackground}}----}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Divide-and-Conquer}}  \tn
\SetRowColor{white}
\mymulticolumn{1}{x{5.377cm}}{Divide-and conquer is a  \newline % Row Count 1 (+ 1)
general algorithm design  \newline % Row Count 2 (+ 1)
paradigm: \newline % Row Count 3 (+ 1)
-\textgreater{} Divide: divide the input data S in  \newline % Row Count 4 (+ 1)
two or more disjoint subsets S1,  \newline % Row Count 5 (+ 1)
S2, ... \newline % Row Count 6 (+ 1)
-\textgreater{} Conquer: solve the subproblems \newline % Row Count 7 (+ 1)
recursively \newline % Row Count 8 (+ 1)
-\textgreater{} Combine: combine the solutions  \newline % Row Count 9 (+ 1)
for S1, S2, ..., into a solution for S% Row Count 10 (+ 1)
} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Greedy Method}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/alexk12_1654970931_Screenshot from 2022-06-11 21-08-13.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Dynamic Programming}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/alexk12_1655036956_Screenshot from 2022-06-12 15-27-14.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Master Theorem}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/alexk12_1654969594_Screenshot from 2022-06-11 20-44-15.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}

\begin{tabularx}{5.377cm}{X}
\SetRowColor{DarkBackground}
\mymulticolumn{1}{x{5.377cm}}{\bf\textcolor{white}{Master Theorem}}  \tn
\SetRowColor{LightBackground}
\mymulticolumn{1}{p{5.377cm}}{\vspace{1px}\centerline{\includegraphics[width=5.1cm]{/web/www.cheatography.com/public/uploads/alexk12_1654969513_Screenshot from 2022-06-11 20-44-54.png}}} \tn 
\hhline{>{\arrayrulecolor{DarkBackground}}-}
\end{tabularx}
\par\addvspace{1.3em}


% That's all folks
\end{multicols*}

\end{document}