\relax 
\providecommand\hyper@newdestlabel[2]{}
\providecommand\HyField@AuxAddToFields[1]{}
\providecommand\HyField@AuxAddToCoFields[2]{}
\providecommand \babel@aux [2]{\global \let \babel@toc \@gobbletwo }
\@nameuse{bbl@beforestart}
\babel@aux{english}{}
\@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{nav}{\headcommand {\slideentry {0}{0}{3}{3/3}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {3}{3}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{4}{4/4}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {4}{4}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{5}{5/8}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {5}{8}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{6}{9/9}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {9}{9}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{7}{10/12}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {10}{12}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{8}{13/14}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {13}{14}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{9}{15/15}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {15}{15}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{10}{16/17}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {16}{17}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{11}{18/18}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {18}{18}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{12}{19/19}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {19}{19}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{13}{20/20}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {20}{20}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{14}{21/23}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {21}{23}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{15}{24/24}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {24}{24}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{16}{25/25}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {25}{25}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{17}{26/27}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {26}{27}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{18}{28/28}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {28}{28}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{19}{29/29}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {29}{29}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{20}{30/30}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {30}{30}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{21}{31/31}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {31}{31}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{22}{32/32}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {32}{32}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{23}{33/33}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {33}{33}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{24}{34/34}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {34}{34}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{25}{35/36}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {35}{36}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{26}{37/37}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {37}{37}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{27}{38/38}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {38}{38}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{28}{39/40}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {39}{40}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{29}{41/41}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {41}{41}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{30}{42/42}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {42}{42}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{31}{43/43}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {43}{43}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{32}{44/44}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {44}{44}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{33}{45/45}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {45}{45}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{34}{46/47}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {46}{47}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{35}{48/48}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {48}{48}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{36}{49/49}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {49}{49}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{37}{50/50}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {50}{50}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{38}{51/51}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {51}{51}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{39}{52/52}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {52}{52}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{40}{53/53}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {53}{53}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{41}{54/54}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {54}{54}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{42}{55/56}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {55}{56}}}
\@writefile{nav}{\headcommand {\beamer@partpages {1}{56}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{56}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{56}}}
\@writefile{nav}{\headcommand {\beamer@documentpages {56}}}
\@writefile{nav}{\headcommand {\gdef \inserttotalframenumber {42}}}
\gdef \@abspage@last{56}
