\documentclass{article}
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\title{CS 7353: Analysis of Algorithms Project: Red-Black Tree}
\author{Noah Schrick}
\date{April 21, 2022}

\begin{document}

\maketitle
\tableofcontents

\section{Problem Introduction}

\section{Program Platform and Submission Files}
This problem was solved using C++ on a Linux system.
Attached with the submission is a zip folder that contains:
\begin{itemize}
    \item{A CMakeLists.txt file for compiling}
    \item{An "images" folder that contains:}
    \begin{enumerate}
        \item{Various images included in this report}
    \end{enumerate}
    \item{A "src" folder that contains:}
    \begin{enumerate}
        \item{A Node.cpp and Node.h file for the Node class and associated functions}
        \item{A Red-Black.cpp and Red-Black.h file for the Red-Black Tree class and
            associated functions}
        \item{The main file}
    \end{enumerate}
    \item{A "build" folder that contains:}
    \begin{enumerate}
        \item{A build.sh script to simplify the build process}
        \item{A run.sh script to simplify running the program}
        \item{Various CMake files}
        \item{The compiled binaries for the program and associated libraries}
    \end{enumerate}
    \item{Various LaTeX files used in the generation of this report.}
\end{itemize}

This program offers no guarantee of functionality on other Operating Systems. Testing was only conducted on the local Linux machine.

\section{Programming Approach}
\subsection{Node Class}

\subsection{Red-Black Tree Class}

\subsubsection{Constructing the Problem}

\subsubsection{Generating the Solution}

\subsubsection{Printing the solution} \label{sec:print}


\section{Results}
\subsection{Part 1.B: ``Tree 1"}
\begin{figure}[htp]
    \centering
    \includegraphics[width=\linewidth]{"./images/b_init_tree.png"}
    \vspace{.2truein} \centerline{}
        \caption{Part 1.B: Initial Tree After Key Insertions}
        \label{fig:b_init}
\end{figure}

\begin{figure}[htp]
    \centering
    \includegraphics{"./images/b_del_12.png"}
    \vspace{.2truein} \centerline{}
        \caption{Part 1.B: Tree After Deleting Key 12}
        \label{fig:b_12}
\end{figure}

\begin{figure}[htp]
    \centering
    \includegraphics{"./images/b_ins_32.png"}
    \vspace{.2truein} \centerline{}
        \caption{Part 1.B: Tree After Inserting Key 32}
        \label{fig:b_32}
\end{figure}

\begin{figure}[htp]
    \centering
    \includegraphics{"./images/b_del_41.png"}
    \vspace{.2truein} \centerline{}
        \caption{Part 1.B: Tree After Deleting Key 41}
        \label{fig:b_41}
\end{figure}

\subsection{Part 1.C: ``Tree 2"}
\begin{figure}[htp]
    \includegraphics[width=\linewidth]{"./images/c_init_tree.png"}
    \vspace{.2truein} \centerline{}
        \caption{Part 1.C: Initial Tree After Key Insertions}
        \label{fig:b_init}
\end{figure}

\begin{figure}[htp]
    \includegraphics[width=\linewidth]{"./images/c_del_127.png"}
    \vspace{.2truein} \centerline{}
        \caption{Part 1.C: Tree After Deleting Key 127}
        \label{fig:c_127}
\end{figure}

\begin{figure}[htp]
    \includegraphics[width=\linewidth]{"./images/c_del_221.png"}
    \vspace{.2truein} \centerline{}
        \caption{Part 1.C: Tree After Deleting Key 221}
        \label{fig:c_221}
\end{figure}

\section{Part 2: Red-Black Discussion}

\end{document}