\usepackage{ifthen}

\newtheorem{definition}{Definition}[chapter]
\newtheorem{theorem}{Theorem}[chapter]
\newtheorem{lemma}{Lemma}[chapter]
\newtheorem{observation}{observation}[chapter]

% #1 (optional): Fixed parameters of the problem
% #2: Name of query problem
% #3: The structure to preprocess
% #4: Queries to handle
\newcommand{\queryproblem}[4][]{
    \textsc{#2} \\
    \ifthenelse{\equal{#1}{}}{}{\textbf{Fixed:} #1 \\}
    \textbf{Given:} #3 \\
    \textbf{Queries:} #4
}

\newcommand{\qptime}[2]{$\langle$#1, #2$\rangle$}
\newcommand{\qpoptimal}{\qptime{$O(n)$}{$O(1)$}}

\newcommand{\definedterm}[1]{\emph{#1}}

\newcommand{\data}[1]{\textsf{#1}}
\newcommand{\infixtable}{\data{in}}
\newcommand{\posttable}{\data{post}}
\newcommand{\prefixtable}{\data{pre}}
\newcommand{\indextable}{\data{index}}
\newcommand{\componenttable}{\data{component}}
\newcommand{\breaktable}{\data{break}}

\newcommand{\mathlca}{\mathit{LCA}}