\usepackage[utf8]{inputenc}
\usepackage[a4paper,width=150mm,top=25mm,bottom=25mm]{geometry}

\usepackage[table,xcdraw,dvipsnames]{xcolor}
\usepackage[normalem]{ulem}
\usepackage[english]{babel} %
\usepackage{subcaption}
\useunder{\uline}{\ul}{}
\usepackage{tikz}
\usepackage{pdfpages}
%\usepackage{pgfplots}
\usepackage{todonotes} %%TODO NOTES!!
%\usepackage[disable]{todonotes}% Til at skjule alle to do notes
%\usepackage{blindtext}
%\renewcommand\thesection{\arabic{section}}
%\setcounter{secnumdepth}{0} Fjerner sidetal
\usepackage{amsmath,anyfontsize,fancyhdr,lastpage,amssymb,wrapfig}
%\usepackage{amsfonts}
\usepackage{mathtools}
\usepackage{amsthm}
\usepackage{mathrsfs}
\usepackage{bm}
%\usepackage[square,numbers]{natbib}
\usepackage{natbib}
\bibliographystyle{abbrv}
\usepackage{url}

\usepackage{amsmath}
\usepackage{fancyhdr}
\usepackage{graphicx}
\usepackage{subcaption}
\usepackage{placeins}
\usepackage{csquotes}
\usepackage{tikz}
\usetikzlibrary{positioning}

%\bibliographystyle{abbrvnat}
%\footnotesize{
%\bibliography{references}
%}

%\usepackage[style=verbose-trad2]{biblatex}
%\bibliography{references}
%
\usepackage{algorithm}
\usepackage[noend]{algpseudocode}
\usepackage{enumitem}
\usepackage{multicol}
\usepackage{hyperref}
\usepackage[noabbrev,capitalise]{cleveref}
\usepackage{algpseudocode}
\usepackage{program}
\usepackage{graphicx}
\usepackage{booktabs}
\usepackage{lmodern,textcomp}
\usepackage{adjustbox}
\usepackage{multirow}
\usepackage[titletoc]{appendix}
\renewcommand\appendixtocname{Appendix}
%\renewcommand{\contentsname}{whatever}
%\renewcommand{\bibname}{whatever}
\usepackage{float}
\graphicspath{{Pics/}}
\usepackage{rotating}
\usepackage{pdflscape}
\usepackage{fancyhdr}
\usepackage{listings}
\usepackage{color} %red, green, blue, yellow, cyan, magenta, black, white
\definecolor{mygreen}{RGB}{28,172,0} % color values Red, Green, Blue
\definecolor{mylilas}{RGB}{170,55,241}
\usepackage{lastpage}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% This templates uses the bibliography package natbib.
%
% The natbib package has two basic citation commands, \citet and \citep for textual and parenthetical citations,
% respectively. There also exist the starred versions \citet* and \citep* that print the full author list, and
% not just the abbreviated one. All of these may take one or two optional arguments to add some text before and after the citation.
% \citet{jon90}     -->     Jones et al. (1990)
% \citet[chap. 2]{jon90}        -->     Jones et al. (1990, chap. 2)
% \citep{jon90}     -->     (Jones et al., 1990)
% \citep[chap. 2]{jon90}        -->     (Jones et al., 1990, chap. 2)
% \citep[see][]{jon90}      -->     (see Jones et al., 1990)
% \citep[see][chap. 2]{jon90}       -->     (see Jones et al., 1990, chap. 2)
% \citet*{jon90}        -->     Jones, Baker, and Williams (1990)
% \citep*{jon90}        -->     (Jones, Baker, and Williams, 1990)
%
%  Multiple citations may be made by including more than one citation key in
%  the \cite command argument.
% \citet{jon90,jam91}       -->     Jones et al. (1990); James et al. (1991)
% \citep{jon90,jam91}       -->     (Jones et al., 1990; James et al. 1991)
% \citep{jon90,jon91}       -->     (Jones et al., 1990, 1991)
% \citep{jon90a,jon90b}     -->     (Jones et al., 1990a,b)
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%



\newcommand{\D}{\text{d}}
\newcommand{\fa}{\forall}
\newcommand{\E}{\exists}
\newcommand{\N}{\mathbb{N}}
\renewcommand{\Q}{\mathbb{Q}}
\renewcommand{\Z}{\mathbb{Z}}
\renewcommand{\R}{\mathbb{R}}
\renewcommand{\C}{\mathbb{C}}
\newcommand{\F}{\mathtt{F}}
\renewcommand{\T}{\mathtt{T}}
\newcommand{\hil}{\mathcal{H}}
\newcommand{\ds}{\displaystyle}
\newcommand{\summa}[2]{\sum_{#1}^{#2}}

\newcommand{\Lra}{\Leftrightarrow}
\newcommand{\lra}{\leftrightarrow}
\newcommand{\La}{\Leftarrow}
\newcommand{\Ra}{\Rightarrow}
\newcommand{\la}{\leftarrow}
\newcommand{\ra}{\rightarrow}
\newcommand{\abs}[1]{\left\lvert #1 \right\rvert}
\newcommand{\Sin}[1]{\sin\left( #1 \right)}
\newcommand{\Cos}[1]{\cos\left( #1 \right)}
\newcommand{\Tan}[1]{\tan\left( #1 \right)}
\newcommand{\U}{\cup}
\renewcommand{\A}{\cap}
\newcommand{\tb}[1]{\textbf{#1}}
\newcommand{\norm}[1]{\abs{\abs{#1}}}
\newcommand{\indre}[1]{\left\langle #1\right\rangle}
\newcommand{\parent}[1]{\left( #1 \right)}
%\renewcommand{\sum}{\sum\limits_{\substack{#1}}

\pagestyle{fancy}
\renewcommand{\baselinestretch}{1.2}
\setlength{\parindent}{0em}
\setlength{\parskip}{1em}
\rhead[empty]{Network Optimization}
\chead[empty]{}
\lhead[empty]{Assignment }
\cfoot{Page \thepage \hspace{1pt} of \pageref{Sidste}}
\renewcommand*\contentsname{Content}
\newcommand{\horrule}[1]{\rule{\linewidth}{#1}}

\usepackage[T1]{fontenc}
\usepackage{beramono}
\usepackage{listings}

\def\checkmark{\tikz\fill[scale=0.4](0,.35) -- (.25,0) -- (1,.7) -- (.25,.15) -- cycle;}

%%
%% Julia definition (c) 2014 Jubobs
%%
\lstdefinelanguage{Julia}%
  {morekeywords={abstract,break,case,catch,const,continue,do,else,elseif,%
      end,export,false,for,function,immutable,import,importall,if,in,%
      macro,module,otherwise,quote,return,switch,true,try,type,typealias,%
      using,while,sum},%
    morekeywords = [2]{@constraint,@objective},
   sensitive=true,%
   alsoother={\$},%
   morecomment=[l]\#,%
   morecomment=[n]{\#=}{=\#},%
   morestring=[s]{"}{"},%
   morestring=[m]{'}{'},%
}[keywords,comments,strings]%

\lstset{%
    language         = Julia,
    basicstyle       = \ttfamily,
    keywordstyle     = \bfseries\color{blue},
    keywordstyle    = [2]\bfseries\color{purple},
    stringstyle      = \color{magenta},
    commentstyle     = \color{ForestGreen},
    showstringspaces = false,
}