\begin{frame}
    \frametitle{\problemtitle}

    \begin{columns}
        \begin{column}[T]{.70\textwidth}
            \begin{itemize}
                \item Given are $2\leq n\leq 1000$ variables $x_i$, initially
                  all set to $2023$.
                \item Execute $1\leq m\leq 1000$ instructions:
                  \begin{itemize}
                    \item Operation: ``\texttt{!~$i$~$j$}'': Replace $x_i$ by $x_i^{x_j}$.
                    \item Query: ``\texttt{?~$i$~$j$}'': Answer which of $x_i$
                      and $x_j$ is larger.
                  \end{itemize}
            \end{itemize}

            \centering
            \vspace{1em}
            \newcommand{\x}{{2023}}
            \begin{align*}
              x_1&=\left(\x^\x\right)^{\x^\x},\\
              x_2&=\left(\x^{\x^\x}\right)^\x,\\
              x_3&=\x,\\
              x_4&=\x^\x.
            \end{align*}

            \small The values of the variables at the end of the first sample.
        \end{column}

\illustration{0.25}{new_years_card_299_2023_a.jpg}{Image by callmetak on \href{https://www.freepik.com/free-vector/year-2023-logo-fireworks-with-text-space-vector-illustration-celebrating-new-year_29660812.htm}{Freepik}}%
    \end{columns}
\end{frame}
