\(
\newcommand{\NOT}{\neg}
\newcommand{\AND}{\wedge}
\newcommand{\OR}{\vee}
\newcommand{\XOR}{\oplus}
\newcommand{\IMP}{\Rightarrow}
\newcommand{\IFF}{\Leftrightarrow}
\newcommand{\TRUE}{\text{True}\xspace}
\newcommand{\FALSE}{\text{False}\xspace}
\newcommand{\IN}{\,{\in}\,}
\newcommand{\NOTIN}{\,{\notin}\,}
\newcommand{\TO}{\rightarrow}
\newcommand{\DIV}{\mid}
\newcommand{\NDIV}{\nmid}
\newcommand{\MOD}[1]{\pmod{#1}}
\newcommand{\MODS}[1]{\ (\text{mod}\ #1)}
\newcommand{\N}{\mathbb N}
\newcommand{\Z}{\mathbb Z}
\newcommand{\Q}{\mathbb Q}
\newcommand{\R}{\mathbb R}
\newcommand{\C}{\mathbb C}
\newcommand{\cA}{\mathcal A}
\newcommand{\cB}{\mathcal B}
\newcommand{\cC}{\mathcal C}
\newcommand{\cD}{\mathcal D}
\newcommand{\cE}{\mathcal E}
\newcommand{\cF}{\mathcal F}
\newcommand{\cG}{\mathcal G}
\newcommand{\cH}{\mathcal H}
\newcommand{\cI}{\mathcal I}
\newcommand{\cJ}{\mathcal J}
\newcommand{\cL}{\mathcal L}
\newcommand{\cK}{\mathcal K}
\newcommand{\cN}{\mathcal N}
\newcommand{\cO}{\mathcal O}
\newcommand{\cP}{\mathcal P}
\newcommand{\cQ}{\mathcal Q}
\newcommand{\cS}{\mathcal S}
\newcommand{\cT}{\mathcal T}
\newcommand{\cV}{\mathcal V}
\newcommand{\cW}{\mathcal W}
\newcommand{\cZ}{\mathcal Z}
\newcommand{\emp}{\emptyset}
\newcommand{\bs}{\backslash}
\newcommand{\floor}[1]{\left \lfloor #1 \right \rfloor}
\newcommand{\ceil}[1]{\left \lceil #1 \right \rceil}
\newcommand{\abs}[1]{\left | #1 \right |}
\newcommand{\xspace}{}
\newcommand{\proofheader}[1]{\underline{\textbf{#1}}}
\)
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Data class definitions
If statements
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