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\relax 
\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
\global\let\oldcontentsline\contentsline
\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global\let\oldnewlabel\newlabel
\gdef\newlabel#1#2{\newlabelxx{#1}#2}
\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\ifx\hyper@anchor\@undefined
\let\contentsline\oldcontentsline
\let\newlabel\oldnewlabel
\fi}
\fi}
\global\let\hyper@last\relax 
\gdef\HyperFirstAtBeginDocument#1{#1}
\providecommand\HyField@AuxAddToFields[1]{}
\@writefile{toc}{\beamer@endinputifotherversion {3.10pt}}
\@writefile{nav}{\beamer@endinputifotherversion {3.10pt}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {1}{1}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{2}{2/2}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {2}{2}}}
\@writefile{toc}{\beamer@sectionintoc {1}{Example}{3}{0}{1}}
\@writefile{nav}{\headcommand {\sectionentry {1}{Example}{3}{Example}{0}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{2}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{2}}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{3}{3/3}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {3}{3}}}
\@writefile{toc}{\beamer@sectionintoc {2}{Definitions}{4}{0}{2}}
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\@writefile{nav}{\headcommand {\beamer@sectionpages {3}{3}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {3}{3}}}
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\@writefile{toc}{\beamer@sectionintoc {3}{Max-strategies}{12}{0}{3}}
\@writefile{nav}{\headcommand {\sectionentry {3}{Max-strategies}{12}{Max-strategies}{0}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {4}{11}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {4}{11}}}
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\@writefile{nav}{\headcommand {\beamer@framepages {13}{15}}}
\@writefile{toc}{\beamer@sectionintoc {4}{Bellman-Ford}{16}{0}{4}}
\@writefile{nav}{\headcommand {\sectionentry {4}{Bellman-Ford}{16}{Bellman-Ford}{0}}}
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\@writefile{nav}{\headcommand {\sectionentry {5}{Max-strategy improvement}{20}{Max-strategy improvement}{0}}}
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\@writefile{nav}{\headcommand {\beamer@subsectionpages {16}{19}}}
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\@writefile{nav}{\headcommand {\beamer@partpages {1}{24}}}
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\@writefile{nav}{\headcommand {\beamer@sectionpages {25}{24}}}
\@writefile{nav}{\headcommand {\beamer@documentpages {24}}}
\@writefile{nav}{\headcommand {\def \inserttotalframenumber {18}}}