\relax \@writefile{toc}{\contentsline {paragraph}{(1) Characterize the Structure of an Optimal Solution.}{1}} \newlabel{substructure}{{1}{1}} \@writefile{toc}{\contentsline {paragraph}{(2) Recursively Define the Value of the Optimal Solution.}{1}} \newlabel{rec_def}{{2}{2}} \@writefile{toc}{\contentsline {paragraph}{(3) Compute the Value of the Optimal Solution Bottom-up.}{2}} \newlabel{tables}{{3}{2}} \@writefile{toc}{\contentsline {paragraph}{(4) Construct the Optimal Solution from the Computed Information.}{2}} \@writefile{toc}{\contentsline {paragraph}{(5) Running Time and Space Requirements.}{3}}