\relax 
\providecommand\zref@newlabel[2]{}
\providecommand\hyper@newdestlabel[2]{}
\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
\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\newlabel\oldnewlabel
\fi}
\fi}
\global\let\hyper@last\relax 
\gdef\HyperFirstAtBeginDocument#1{#1}
\providecommand\HyField@AuxAddToFields[1]{}
\providecommand\HyField@AuxAddToCoFields[2]{}
\abx@aux@refcontext{nty/global//global/global}
\providecommand\pbs@newkey[2]{}
\providecommand\pbs@seq@push@cx[2]{}
\providecommand\@anim@newkey[2]{}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {1}{1}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{2}{2/3}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {2}{3}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{3}{4/9}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {4}{9}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{4}{10/13}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {10}{13}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{5}{14/19}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {14}{19}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{6}{20/21}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {20}{21}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{7}{22/26}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {22}{26}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{8}{27/30}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {27}{30}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{9}{31/34}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {31}{34}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{10}{35/38}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {35}{38}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{11}{39/41}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {39}{41}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{12}{42/42}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {42}{42}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{13}{43/43}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {43}{43}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{14}{44/44}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {44}{44}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{15}{45/46}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {45}{46}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{16}{47/47}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {47}{47}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{17}{48/49}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {48}{49}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{18}{50/50}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {50}{50}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{19}{51/52}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {51}{52}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{20}{53/53}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {53}{53}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{21}{54/54}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {54}{54}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{22}{55/55}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {55}{55}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{23}{56/57}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {56}{57}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{24}{58/58}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {58}{58}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{25}{59/62}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {59}{62}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{26}{63/68}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {63}{68}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{27}{69/73}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {69}{73}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{28}{74/74}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {74}{74}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{29}{75/76}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {75}{76}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{30}{77/77}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {77}{77}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{31}{78/78}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {78}{78}}}
\@writefile{nav}{\headcommand {\beamer@partpages {1}{78}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{78}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{78}}}
\@writefile{nav}{\headcommand {\beamer@documentpages {78}}}
\@writefile{nav}{\headcommand {\gdef \inserttotalframenumber {30}}}
\abx@aux@read@bbl@mdfivesum{D41D8CD98F00B204E9800998ECF8427E}
\gdef \@abspage@last{78}
