\begin{frame}
   \frametitle{Example}
Cluster distances using average linkage. Iteration:  1
   \scriptsize
   \begin{tabular}{r|rrrrrrrrrr}
      &1&2&3&4&5&6&\textcolor{red}{7}&\textcolor{red}{8}&9&10\\\hline
      1&\textcolor{gray}{0.00}&0.45&0.53&1.43&0.38&3.01&\textcolor{red}{2.80}&\textcolor{red}{2.81}&2.61&2.95\\
      2&0.45&\textcolor{gray}{0.00}&0.95&1.06&0.38&2.63&\textcolor{red}{2.43}&\textcolor{red}{2.45}&2.29&2.55\\
      3&0.53&0.95&\textcolor{gray}{0.00}&1.79&0.70&3.34&\textcolor{red}{3.10}&\textcolor{red}{3.11}&2.86&3.32\\
      4&1.43&1.06&1.79&\textcolor{gray}{0.00}&1.10&1.58&\textcolor{red}{1.38}&\textcolor{red}{1.39}&1.25&1.53\\
      5&0.38&0.38&0.70&1.10&\textcolor{gray}{0.00}&2.67&\textcolor{red}{2.45}&\textcolor{red}{2.46}&2.25&2.64\\
      6&3.01&2.63&3.34&1.58&2.67&\textcolor{gray}{0.00}&\textcolor{red}{0.29}&\textcolor{red}{0.28}&0.69&0.28\\
      \textcolor{red}{7}&\textcolor{red}{2.80}&\textcolor{red}{2.43}&\textcolor{red}{3.10}&\textcolor{red}{1.38}&\textcolor{red}{2.45}&\textcolor{red}{0.29}&\textcolor{red}{0.00}&\textcolor{blue}{0.02}&\textcolor{red}{0.41}&\textcolor{red}{0.48}\\
      \textcolor{red}{8}&\textcolor{red}{2.81}&\textcolor{red}{2.45}&\textcolor{red}{3.11}&\textcolor{red}{1.39}&\textcolor{red}{2.46}&\textcolor{red}{0.28}&\textcolor{blue}{0.02}&\textcolor{red}{0.00}&\textcolor{red}{0.41}&\textcolor{red}{0.49}\\
      9&2.61&2.29&2.86&1.25&2.25&0.69&\textcolor{red}{0.41}&\textcolor{red}{0.41}&\textcolor{gray}{0.00}&0.89\\
      10&2.95&2.55&3.32&1.53&2.64&0.28&\textcolor{red}{0.48}&\textcolor{red}{0.49}&0.89&\textcolor{gray}{0.00}\\
   \end{tabular}
   \normalsize
\end{frame}
\begin{frame}
   \frametitle{Example}
Cluster distances using average linkage. Iteration:  2
   \scriptsize
   \begin{tabular}{r|rrrrrrrrr}
      &1&2&3&4&5&\textcolor{red}{6}&9&\textcolor{red}{10}&11\\\hline
      1&\textcolor{gray}{0.00}&0.45&0.53&1.43&0.38&\textcolor{red}{3.01}&2.61&\textcolor{red}{2.95}&2.80\\
      2&0.45&\textcolor{gray}{0.00}&0.95&1.06&0.38&\textcolor{red}{2.63}&2.29&\textcolor{red}{2.55}&2.44\\
      3&0.53&0.95&\textcolor{gray}{0.00}&1.79&0.70&\textcolor{red}{3.34}&2.86&\textcolor{red}{3.32}&3.11\\
      4&1.43&1.06&1.79&\textcolor{gray}{0.00}&1.10&\textcolor{red}{1.58}&1.25&\textcolor{red}{1.53}&1.38\\
      5&0.38&0.38&0.70&1.10&\textcolor{gray}{0.00}&\textcolor{red}{2.67}&2.25&\textcolor{red}{2.64}&2.46\\
      \textcolor{red}{6}&\textcolor{red}{3.01}&\textcolor{red}{2.63}&\textcolor{red}{3.34}&\textcolor{red}{1.58}&\textcolor{red}{2.67}&\textcolor{red}{0.00}&\textcolor{red}{0.69}&\textcolor{blue}{0.28}&\textcolor{red}{0.28}\\
      9&2.61&2.29&2.86&1.25&2.25&\textcolor{red}{0.69}&\textcolor{gray}{0.00}&\textcolor{red}{0.89}&0.41\\
      \textcolor{red}{10}&\textcolor{red}{2.95}&\textcolor{red}{2.55}&\textcolor{red}{3.32}&\textcolor{red}{1.53}&\textcolor{red}{2.64}&\textcolor{blue}{0.28}&\textcolor{red}{0.89}&\textcolor{red}{0.00}&\textcolor{red}{0.48}\\
      11&2.80&2.44&3.11&1.38&2.46&\textcolor{red}{0.28}&0.41&\textcolor{red}{0.48}&\textcolor{gray}{0.01}\\
   \end{tabular}
   \normalsize
\end{frame}
\begin{frame}
   \frametitle{Example}
Cluster distances using average linkage. Iteration:  3
   \scriptsize
   \begin{tabular}{r|rrrrrrrr}
      &\textcolor{red}{1}&2&3&4&\textcolor{red}{5}&9&11&12\\\hline
      \textcolor{red}{1}&\textcolor{red}{0.00}&\textcolor{red}{0.45}&\textcolor{red}{0.53}&\textcolor{red}{1.43}&\textcolor{blue}{0.38}&\textcolor{red}{2.61}&\textcolor{red}{2.80}&\textcolor{red}{2.98}\\
      2&\textcolor{red}{0.45}&\textcolor{gray}{0.00}&0.95&1.06&\textcolor{red}{0.38}&2.29&2.44&2.59\\
      3&\textcolor{red}{0.53}&0.95&\textcolor{gray}{0.00}&1.79&\textcolor{red}{0.70}&2.86&3.11&3.33\\
      4&\textcolor{red}{1.43}&1.06&1.79&\textcolor{gray}{0.00}&\textcolor{red}{1.10}&1.25&1.38&1.56\\
      \textcolor{red}{5}&\textcolor{blue}{0.38}&\textcolor{red}{0.38}&\textcolor{red}{0.70}&\textcolor{red}{1.10}&\textcolor{red}{0.00}&\textcolor{red}{2.25}&\textcolor{red}{2.46}&\textcolor{red}{2.65}\\
      9&\textcolor{red}{2.61}&2.29&2.86&1.25&\textcolor{red}{2.25}&\textcolor{gray}{0.00}&0.41&0.79\\
      11&\textcolor{red}{2.80}&2.44&3.11&1.38&\textcolor{red}{2.46}&0.41&\textcolor{gray}{0.01}&0.38\\
      12&\textcolor{red}{2.98}&2.59&3.33&1.56&\textcolor{red}{2.65}&0.79&0.38&\textcolor{gray}{0.14}\\
   \end{tabular}
   \normalsize
\end{frame}
\begin{frame}
   \frametitle{Example}
Cluster distances using average linkage. Iteration:  4
   \scriptsize
   \begin{tabular}{r|rrrrrrr}
      &2&3&4&9&\textcolor{red}{11}&\textcolor{red}{12}&13\\\hline
      2&\textcolor{gray}{0.00}&0.95&1.06&2.29&\textcolor{red}{2.44}&\textcolor{red}{2.59}&0.41\\
      3&0.95&\textcolor{gray}{0.00}&1.79&2.86&\textcolor{red}{3.11}&\textcolor{red}{3.33}&0.62\\
      4&1.06&1.79&\textcolor{gray}{0.00}&1.25&\textcolor{red}{1.38}&\textcolor{red}{1.56}&1.26\\
      9&2.29&2.86&1.25&\textcolor{gray}{0.00}&\textcolor{red}{0.41}&\textcolor{red}{0.79}&2.43\\
      \textcolor{red}{11}&\textcolor{red}{2.44}&\textcolor{red}{3.11}&\textcolor{red}{1.38}&\textcolor{red}{0.41}&\textcolor{red}{0.01}&\textcolor{blue}{0.38}&\textcolor{red}{2.63}\\
      \textcolor{red}{12}&\textcolor{red}{2.59}&\textcolor{red}{3.33}&\textcolor{red}{1.56}&\textcolor{red}{0.79}&\textcolor{blue}{0.38}&\textcolor{red}{0.14}&\textcolor{red}{2.82}\\
      13&0.41&0.62&1.26&2.43&\textcolor{red}{2.63}&\textcolor{red}{2.82}&\textcolor{gray}{0.19}\\
   \end{tabular}
   \normalsize
\end{frame}
\begin{frame}
   \frametitle{Example}
Cluster distances using average linkage. Iteration:  5
   \scriptsize
   \begin{tabular}{r|rrrrrr}
      &\textcolor{red}{2}&3&4&9&\textcolor{red}{13}&14\\\hline
      \textcolor{red}{2}&\textcolor{red}{0.00}&\textcolor{red}{0.95}&\textcolor{red}{1.06}&\textcolor{red}{2.29}&\textcolor{blue}{0.41}&\textcolor{red}{2.51}\\
      3&\textcolor{red}{0.95}&\textcolor{gray}{0.00}&1.79&2.86&\textcolor{red}{0.62}&3.22\\
      4&\textcolor{red}{1.06}&1.79&\textcolor{gray}{0.00}&1.25&\textcolor{red}{1.26}&1.47\\
      9&\textcolor{red}{2.29}&2.86&1.25&\textcolor{gray}{0.00}&\textcolor{red}{2.43}&0.60\\
      \textcolor{red}{13}&\textcolor{blue}{0.41}&\textcolor{red}{0.62}&\textcolor{red}{1.26}&\textcolor{red}{2.43}&\textcolor{red}{0.19}&\textcolor{red}{2.72}\\
      14&\textcolor{red}{2.51}&3.22&1.47&0.60&\textcolor{red}{2.72}&\textcolor{gray}{0.23}\\
   \end{tabular}
   \normalsize
\end{frame}
\begin{frame}
   \frametitle{Example}
Cluster distances using average linkage. Iteration:  6
   \scriptsize
   \begin{tabular}{r|rrrrr}
      &3&4&\textcolor{red}{9}&\textcolor{red}{14}&15\\\hline
      3&\textcolor{gray}{0.00}&1.79&\textcolor{red}{2.86}&\textcolor{red}{3.22}&0.73\\
      4&1.79&\textcolor{gray}{0.00}&\textcolor{red}{1.25}&\textcolor{red}{1.47}&1.20\\
      \textcolor{red}{9}&\textcolor{red}{2.86}&\textcolor{red}{1.25}&\textcolor{red}{0.00}&\textcolor{blue}{0.60}&\textcolor{red}{2.38}\\
      \textcolor{red}{14}&\textcolor{red}{3.22}&\textcolor{red}{1.47}&\textcolor{blue}{0.60}&\textcolor{red}{0.23}&\textcolor{red}{2.65}\\
      15&0.73&1.20&\textcolor{red}{2.38}&\textcolor{red}{2.65}&\textcolor{gray}{0.27}\\
   \end{tabular}
   \normalsize
\end{frame}
\begin{frame}
   \frametitle{Example}
Cluster distances using average linkage. Iteration:  7
   \scriptsize
   \begin{tabular}{r|rrrr}
      &\textcolor{red}{3}&4&\textcolor{red}{15}&16\\\hline
      \textcolor{red}{3}&\textcolor{red}{0.00}&\textcolor{red}{1.79}&\textcolor{blue}{0.73}&\textcolor{red}{3.14}\\
      4&\textcolor{red}{1.79}&\textcolor{gray}{0.00}&\textcolor{red}{1.20}&1.43\\
      \textcolor{red}{15}&\textcolor{blue}{0.73}&\textcolor{red}{1.20}&\textcolor{red}{0.27}&\textcolor{red}{2.60}\\
      16&\textcolor{red}{3.14}&1.43&\textcolor{red}{2.60}&\textcolor{gray}{0.34}\\
   \end{tabular}
   \normalsize
\end{frame}
\begin{frame}
   \frametitle{Example}
Cluster distances using average linkage. Iteration:  8
   \scriptsize
   \begin{tabular}{r|rrr}
      &\textcolor{red}{4}&16&\textcolor{red}{17}\\\hline
      \textcolor{red}{4}&\textcolor{red}{0.00}&\textcolor{red}{1.43}&\textcolor{blue}{1.34}\\
      16&\textcolor{red}{1.43}&\textcolor{gray}{0.34}&\textcolor{red}{2.74}\\
      \textcolor{red}{17}&\textcolor{blue}{1.34}&\textcolor{red}{2.74}&\textcolor{red}{0.42}\\
   \end{tabular}
   \normalsize
\end{frame}
\begin{frame}
   \frametitle{Example}
Cluster distances using average linkage. Iteration:  9
   \scriptsize
   \begin{tabular}{r|rr}
      &\textcolor{red}{16}&18\\\hline
      \textcolor{red}{16}&\textcolor{red}{0.00}&\textcolor{red}{2.47}\\
      18&\textcolor{red}{2.47}&\textcolor{gray}{0.00}\\
   \end{tabular}
   \normalsize
\end{frame}
