\relax \providecommand\hyper@newdestlabel[2]{} \providecommand\zref@newlabel[2]{} \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]{} \providecommand\HyField@AuxAddToCoFields[2]{} \providecommand\AtEndDvi@Check{} \AtEndDvi@Check \@writefile{toc}{\beamer@endinputifotherversion {3.33pt}} \@writefile{nav}{\beamer@endinputifotherversion {3.33pt}} \@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}{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Introduction and Problem definition}}{3}{0}{1}} \@writefile{nav}{\headcommand {\sectionentry {1}{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Introduction and Problem definition}}{3}{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Introduction and Problem definition}}{0}}} \@writefile{nav}{\headcommand {\beamer@sectionpages {1}{2}}} \@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{2}}} \@writefile{nav}{\headcommand {\slideentry {1}{0}{0}{3/3}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {3}{3}}} \@writefile{nav}{\headcommand {\slideentry {1}{0}{1}{4/4}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {4}{4}}} \@writefile{nav}{\headcommand {\slideentry {1}{0}{2}{5/5}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {5}{5}}} \@writefile{toc}{\beamer@sectionintoc {2}{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Motivations}}{6}{0}{2}} \@writefile{nav}{\headcommand {\sectionentry {2}{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Motivations}}{6}{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Motivations}}{0}}} \@writefile{nav}{\headcommand {\beamer@sectionpages {1}{5}}} \@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{5}}} \@writefile{nav}{\headcommand {\slideentry {2}{0}{0}{6/6}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {6}{6}}} \@writefile{toc}{\beamer@sectionintoc {3}{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Energy optimization of homogeneous platform}}{7}{0}{3}} \@writefile{nav}{\headcommand {\sectionentry {3}{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Energy optimization of homogeneous platform}}{7}{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Energy optimization of homogeneous platform}}{0}}} \@writefile{nav}{\headcommand {\beamer@sectionpages {1}{6}}} \@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{6}}} \@writefile{nav}{\headcommand {\slideentry {3}{0}{0}{7/7}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {7}{7}}} \@writefile{nav}{\headcommand {\slideentry {3}{0}{1}{8/8}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {8}{8}}} \providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}} \newlabel{fig:h1}{{1a}{9}{Subfigure 1a}{Doc-Start}{}} \@writefile{snm}{\beamer@slide {fig:h1}{9}} \newlabel{sub@fig:h1}{{(a)}{a}{Subfigure 1a\relax }{Doc-Start}{}} \newlabel{fig:h2}{{1b}{9}{Subfigure 1b}{Doc-Start}{}} \@writefile{snm}{\beamer@slide {fig:h2}{9}} \newlabel{sub@fig:h2}{{(b)}{b}{Subfigure 1b\relax }{Doc-Start}{}} \newlabel{fig:homo}{{\caption@xref {fig:homo}{ on input line 272}}{9}{}{Doc-Start}{}} \@writefile{snm}{\beamer@slide {fig:homo}{9}} \@writefile{nav}{\headcommand {\slideentry {3}{0}{2}{9/9}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {9}{9}}} \@writefile{snm}{\beamer@slide {eq:pd}{10}} \newlabel{eq:pd}{{1}{10}{}{Doc-Start}{}} \@writefile{snm}{\beamer@slide {eq:ps}{10}} \newlabel{eq:ps}{{2}{10}{}{Doc-Start}{}} \@writefile{nav}{\headcommand {\slideentry {3}{0}{3}{10/10}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {10}{10}}} \@writefile{nav}{\headcommand {\slideentry {3}{0}{4}{11/11}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {11}{11}}} \@writefile{nav}{\headcommand {\slideentry {3}{0}{5}{12/12}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {12}{12}}} \newlabel{fig:r2}{{1c}{13}{Subfigure 1c}{Doc-Start}{}} \@writefile{snm}{\beamer@slide {fig:r2}{13}} \newlabel{sub@fig:r2}{{(c)}{c}{Subfigure 1c\relax }{Doc-Start}{}} \newlabel{fig:r1}{{1d}{13}{Subfigure 1d}{Doc-Start}{}} \@writefile{snm}{\beamer@slide {fig:r1}{13}} \newlabel{sub@fig:r1}{{(d)}{d}{Subfigure 1d\relax }{Doc-Start}{}} \newlabel{fig:rel}{{\caption@xref {fig:rel}{ on input line 375}}{13}{}{Doc-Start}{}} \@writefile{snm}{\beamer@slide {fig:rel}{13}} \@writefile{nav}{\headcommand {\slideentry {3}{0}{6}{13/13}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {13}{13}}} \@writefile{nav}{\headcommand {\slideentry {3}{0}{7}{14/14}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {14}{14}}} \@writefile{nav}{\headcommand {\slideentry {3}{0}{8}{15/15}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {15}{15}}} \@writefile{nav}{\headcommand {\slideentry {3}{0}{9}{16/16}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {16}{16}}} \@writefile{nav}{\headcommand {\slideentry {3}{0}{10}{17/17}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {17}{17}}} \@writefile{nav}{\headcommand {\slideentry {3}{0}{11}{18/18}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {18}{18}}} \@writefile{nav}{\headcommand {\slideentry {3}{0}{12}{19/19}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {19}{19}}} \@writefile{nav}{\headcommand {\slideentry {3}{0}{13}{20/20}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {20}{20}}} \@writefile{toc}{\beamer@sectionintoc {4}{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Energy optimization of heterogeneous platform}}{21}{0}{4}} \@writefile{nav}{\headcommand {\sectionentry {4}{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Energy optimization of heterogeneous platform}}{21}{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Energy optimization of heterogeneous platform}}{0}}} \@writefile{nav}{\headcommand {\beamer@sectionpages {1}{20}}} \@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{20}}} \@writefile{nav}{\headcommand {\slideentry {4}{0}{0}{21/21}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {21}{21}}} \@writefile{nav}{\headcommand {\slideentry {4}{0}{1}{22/22}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {22}{22}}} \newlabel{fig:heter}{{\caption@xref {fig:heter}{ on input line 553}}{23}{}{Doc-Start}{}} \@writefile{snm}{\beamer@slide {fig:heter}{23}} \@writefile{snm}{\beamer@slide {eq:perf}{23}} \newlabel{eq:perf}{{3}{23}{}{Doc-Start}{}} \@writefile{nav}{\headcommand {\slideentry {4}{0}{2}{23/23}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {23}{23}}} \newlabel{eq:energy}{{4}{24}{}{Doc-Start}{}} \@writefile{nav}{\headcommand {\slideentry {4}{0}{3}{24/24}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {24}{24}}} \@writefile{nav}{\headcommand {\slideentry {4}{0}{4}{25/25}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {25}{25}}} \@writefile{nav}{\headcommand {\slideentry {4}{0}{5}{26/26}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {26}{26}}} \@writefile{nav}{\headcommand {\slideentry {4}{0}{6}{27/27}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {27}{27}}} \@writefile{nav}{\headcommand {\slideentry {4}{0}{7}{28/28}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {28}{28}}} \@writefile{nav}{\headcommand {\slideentry {4}{0}{8}{29/29}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {29}{29}}} \@writefile{nav}{\headcommand {\slideentry {4}{0}{9}{30/30}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {30}{30}}} \@writefile{nav}{\headcommand {\slideentry {4}{0}{10}{31/31}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {31}{31}}} \@writefile{nav}{\headcommand {\slideentry {4}{0}{11}{32/32}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {32}{32}}} \@writefile{nav}{\headcommand {\slideentry {4}{0}{12}{33/33}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {33}{33}}} \@writefile{nav}{\headcommand {\slideentry {4}{0}{13}{34/34}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {34}{34}}} \@writefile{nav}{\headcommand {\slideentry {4}{0}{14}{35/35}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {35}{35}}} \@writefile{nav}{\headcommand {\slideentry {4}{0}{15}{36/36}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {36}{36}}} \@writefile{toc}{\beamer@sectionintoc {5}{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Energy optimization of asynchronous applications}}{37}{0}{5}} \@writefile{nav}{\headcommand {\sectionentry {5}{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Energy optimization of asynchronous applications}}{37}{\relax \fontsize {10}{12}\selectfont \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Energy optimization of asynchronous applications}}{0}}} \@writefile{nav}{\headcommand {\beamer@sectionpages {1}{36}}} \@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{36}}} \@writefile{nav}{\headcommand {\slideentry {5}{0}{0}{37/37}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {37}{37}}} \@writefile{nav}{\headcommand {\slideentry {5}{0}{1}{38/38}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {38}{38}}} \@writefile{nav}{\headcommand {\slideentry {5}{0}{2}{39/39}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {39}{39}}} \@writefile{nav}{\headcommand {\slideentry {5}{0}{3}{40/40}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {40}{40}}} \@writefile{nav}{\headcommand {\slideentry {5}{0}{4}{41/41}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {41}{41}}} \@writefile{nav}{\headcommand {\slideentry {5}{0}{5}{42/42}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {42}{42}}} \@writefile{nav}{\headcommand {\slideentry {5}{0}{6}{43/43}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {43}{43}}} \@writefile{nav}{\headcommand {\slideentry {5}{0}{7}{44/44}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {44}{44}}} \@writefile{nav}{\headcommand {\slideentry {5}{0}{8}{45/45}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {45}{45}}} \@writefile{nav}{\headcommand {\slideentry {5}{0}{9}{46/46}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {46}{46}}} \@writefile{nav}{\headcommand {\slideentry {5}{0}{10}{47/47}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {47}{47}}} \@writefile{toc}{\beamer@sectionintoc {6}{Conclusions and Perspectives}{48}{0}{6}} \@writefile{nav}{\headcommand {\sectionentry {6}{Conclusions and Perspectives}{48}{Conclusions and Perspectives}{0}}} \@writefile{nav}{\headcommand {\beamer@sectionpages {1}{47}}} \@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{47}}} \@writefile{nav}{\headcommand {\slideentry {6}{0}{0}{48/48}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {48}{48}}} \@writefile{nav}{\headcommand {\slideentry {6}{0}{1}{49/49}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {49}{49}}} \@writefile{nav}{\headcommand {\slideentry {6}{0}{2}{50/50}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {50}{50}}} \@writefile{nav}{\headcommand {\slideentry {6}{0}{3}{51/51}{}{0}}} \@writefile{nav}{\headcommand {\beamer@framepages {51}{51}}} \@writefile{nav}{\headcommand {\beamer@partpages {1}{51}}} \@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{51}}} \@writefile{nav}{\headcommand {\beamer@sectionpages {1}{51}}} \@writefile{nav}{\headcommand {\beamer@documentpages {51}}} \@writefile{nav}{\headcommand {\def \inserttotalframenumber {51}}} \zref@newlabel{LastPage}{\default{}\page{51}\abspage{51}}