\begin{figure}[!t]
\centering
\includegraphics[scale=0.34]{images/greedy_graph_3.png}
% For campaign 2 ep. 31, we plot the center index of a sequence of turns in the dialogue as the function of the index of the sentence chunks in the summary. The turn indices are determined by the greedy approach. We notice the plot is generally monotonic, with the out of order points verified as misalignments. After assessing many dialogue and summary pairs, we are motivated to make a strong monotonic assumption for this dataset.}
\includegraphics[scale=0.34]{images/dp_graph_3.png}
\caption{(a)~\label{greedy_graph}Midpoints of turn sequences as a function of the summary chunk indices for campaign 2 ep.~31, determined by the greedy approach. The plot is generally monotonic, with the out of order points verified as misalignments. After assessing many dialogue and summary pairs, we determined a strong monotonic assumption for this dataset.
(b)~\label{dp_graph}For the same summary sentence chunk indices as in graph (a), we plot the new turn sequence midpoints as determined by the Needleman-Wunsch approach. The plot is now perfectly monotonic due to the ordering constraint and captures previously missed turn sequences.}
\end{figure}

% \begin{figure*}[!t]
% \centering
% \includegraphics[scale=0.3]{greedy_graph.png}
% \caption{\label{greedy_graph}(a), (b), (c) from left to right: For campaign 1 ep. 1, 10,  and campaign 2 ep. 31, we plot the center index of a sequence of turns in an episode's dialogue as the function of the index of the sentence chunks in the episode summary. The turn indices are determined by the greedy approach. We notice the plots are generally monotonic, with the out of order points verified as misalignments. After assessing many dialogue and summary pairs, we are motivated to make a strong monotonic assumption for this dataset.}
% \includegraphics[scale=0.3]{dp_graph.png}
% \caption{\label{dp_graph}(a), (b), (c) from left to right: For the same summary sentence chunk indices as Figure \ref{greedy_graph}, we plot the new turn sequence center indices as determined by the Needleman-Wunsch approach. The plots are now perfectly monotonic due to the ordering constraint and, as seen in (c), capture previously missed turn sequences.}
% \end{figure*}