A possible sequence of moves for the first test is shown below:

\begin{center}
$\{\} \xrightarrow{\texttt{insert 2}} \{2\} \xrightarrow{\texttt{insert 2}} \{2, 2\} \xrightarrow[\texttt{score += 4}]{\texttt{merge, x = 2}} \{4\} \xrightarrow{\texttt{insert 4}} \{4, 4\} \xrightarrow[\texttt{score += 8}]{\texttt{merge, x = 4}} \{8\} $
\end{center}