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\documentclass[10pt,a4paper]{article}
\usepackage[margin=2cm]{geometry}
\usepackage{multicol}
\let\assignment7
\usepackage{enumitem}
\setenumerate[1]{label=\assignment.\arabic*.}
\setenumerate[2]{label=\textit{\alph*})}
% textcomp package is not available everywhere, and we only need the Copyright symbol
% taken from http://tex.stackexchange.com/a/1677/23992
\DeclareTextCommandDefault{\textregistered}{\textcircled{\check@mathfonts\fontsize\sf@size\z@\math@fontsfalse\selectfont R}}
\usepackage{fancyhdr}
\renewcommand{\headrulewidth}{0pt}
\renewcommand{\footrulewidth}{0pt}
\fancyhead{}
\fancyfoot[C]{Copyright {\textcopyright} 2015 Camil Staps}
\pagestyle{fancy}
\usepackage{amsmath}
\usepackage{amsthm}
\usepackage{amsfonts}
\DeclareMathAlphabet{\pazocal}{OMS}{zplm}{m}{n}
\usepackage{tikz}
\usepackage{array}
\usepackage{caption}
\usepackage[hidelinks]{hyperref}
\usepackage{url}
\parindent0pt
\title{Algoritmen en Datastructuren - assignment \assignment}
\author{Camil Staps\\\small{s4498062}}
\begin{document}
\maketitle
\thispagestyle{fancy}
\begin{multicols}{2}
\begin{enumerate}
\item The initial tree would be:
\begin{minipage}{\linewidth}
\centering
\vskip10pt
\begin{tikzpicture}[every node/.style={draw,circle,minimum width=2em},
level 1/.style={sibling distance=9em},
level 2/.style={sibling distance=5em},
level 3/.style={sibling distance=3em},
font={\footnotesize}]
\node {9}
child { node {5}
child { node {4} }
child { node {7}
child[missing] { node {} }
child { node {8} }
}
}
child { node {12}
child { node {10}
child[missing] { node {} }
child { node {11} }
}
child { node {18} }
};
\end{tikzpicture}
\end{minipage}\\
After removing $9$:
\begin{minipage}{\linewidth}
\centering
\vskip10pt
\begin{tikzpicture}[every node/.style={draw,circle,minimum width=2em},
level 1/.style={sibling distance=9em},
level 2/.style={sibling distance=5em},
level 3/.style={sibling distance=3em},
font={\footnotesize}]
\node {10}
child { node {5}
child { node {4} }
child { node {7}
child[missing] { node {} }
child { node {8} }
}
}
child { node {12}
child { node {11} }
child { node {18} }
};
\end{tikzpicture}
\end{minipage}\\
After removing $5$:
\begin{minipage}{\linewidth}
\centering
\vskip10pt
\begin{tikzpicture}[every node/.style={draw,circle,minimum width=2em},
level 1/.style={sibling distance=9em},
level 2/.style={sibling distance=5em},
font={\footnotesize}]
\node {10}
child { node {7}
child { node {4} }
child { node {8} }
}
child { node {12}
child { node {11} }
child { node {18} }
};
\end{tikzpicture}
\end{minipage}
\item \begin{enumerate}
\item %todo
\item For a node $v$:
\begin{itemize}
\item If $v$ is nil, return $0$.
\item If $v$ is a leaf node, return $1$.
\item If $v$ has children, return the sum of the number of leaves of the children.
\end{itemize}
Note that this works on any tree.
\end{enumerate}
\item %todo
\item %todo
\item %todo
\end{enumerate}
\end{multicols}
\end{document}
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