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\begin{document}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\begin{frame}[t]
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\frametitle{%
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  \begin{tabular}{@ {}c@ {}}
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  \\[5mm]
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  \huge PEP Scala (3) 
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  \end{tabular}}
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  \normalsize
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  \begin{center}
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  \begin{tabular}{ll}
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    Email:  & christian.urban at kcl.ac.uk\\
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    Office: & N\liningnums{7.07} (North Wing, Bush House)\bigskip\\
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    Slides \& Code: & KEATS\bigskip\\
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    Office Hours: &  Thursdays 12:00 -- 14:00\\
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    Additionally: & (for Scala) Tuesdays 10:45 -- 11:45\\ 
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  \end{tabular}
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  \end{center}
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\begin{frame}[c]
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\frametitle{Preliminary 6}
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Raw marks (261 submissions):\bigskip
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\begin{itemize}
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\item 3\%: \hspace{4mm}219
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\item 2\%: \hspace{4mm}19
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\item 1\%: \hspace{4mm}0
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\item 0\%: \hspace{4mm}23 \;(4 no submission)
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\end{itemize}  
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\end{frame}
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\begin{frame}[c,fragile]
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\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-1mm]
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def collatz(n: Long) : Long =
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  {
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    val toReturn = collatzHelper(n, 0)
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    toReturn
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  } 
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\end{lstlisting}
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\pause
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\bigskip
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\rule{11cm}{0.3mm}
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\bigskip
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\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-1mm]
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def collatz(n: Long) : Long =
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  collatzHelper(n, 0)
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\end{lstlisting}
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\begin{frame}[c,fragile]
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\frametitle{Default Arguments}
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\small
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\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-3mm]
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def collatzHelper(n: Int, a: Int = 0) : Int = ...
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collatzHelper(n, 3)
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collatzHelper(n, 0)
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collatzHelper(n)   // a = 0   
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\end{lstlisting}
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\DOWNarrow{1}{10.7}{3.4}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 
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\begin{frame}[c,fragile]
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\frametitle{Last Week: Options \& HO Funs.}
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\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-1mm]
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List(7,2,3,4,5,6).find(_ < 4)
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res: Option[Int] = Some(2)
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List(5,6,7,8,9).find(_ < 4)
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res: Option[Int] = None
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List(1,2,3,4,5).map(x => x * x)
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res: List[Int] = List(1, 4, 9, 16, 25)
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\end{lstlisting}
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  \end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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\begin{frame}[c,fragile]
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\frametitle{Web-Crawler (1)}
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\small
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\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-7mm]
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def get_page(url: String) : String = {
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Try(fromURL(url)("ISO-8859-1").take(10000).mkString)
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   .getOrElse { println(s" Problem with: $url"); ""}
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}
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\end{lstlisting}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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\begin{frame}[c,fragile]
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\frametitle{Web-Crawler (2)}
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\small
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\begin{lstlisting}[language=Scala, numbers=none, 
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                    xleftmargin=-7mm, escapeinside={(*@}{@*)}]
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val http_pattern = """(*@\textcolor{codegreen}{"}@*)https?://[\^(*@\textcolor{codegreen}{"}@*)]*(*@\textcolor{codegreen}{"}@*)""".r
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val email_pattern = 
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 """([a-z\d\.-]+)@([\da-z\.-]+)\.([a-z\.]{2,6})""".r
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def unquote(s: String) = s.drop(1).dropRight(1)
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def get_all_URLs(page: String): Set[String] = 
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  http_pattern.findAllIn(page).map(unquote).toSet
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  // returns all URLs in a page  
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\end{lstlisting}
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  \end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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\begin{frame}[c,fragile]
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\frametitle{Web-Crawler (3)}
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\small
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\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-1mm]
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def crawl(url: String, n: Int) : Unit = {
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  if (n == 0) ()
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  else {
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    println(s"  Visiting: $n $url")
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    val page = get_page(url)
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    for (u <- get_all_URLs(page)) 
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      crawl(u, n - 1)
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  }
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}
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\end{lstlisting}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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\begin{frame}[c,fragile]
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\frametitle{Email Harvester}
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\small
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\begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-3mm]
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def emails(url: String, n: Int) : Set[String] = {
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 if (n == 0) Set()
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 else {
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  println(s"  Visiting: $n $url")
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  val page = get_page(url)
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  val new_emails = 
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    email_pattern.findAllIn(page).toSet
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  new_emails ++ 
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    (for (u <- get_all_URLs(page)) 
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       yield emails(u, n - 1)).flatten
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 }
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} 
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\end{lstlisting}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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\begin{frame}[c]
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\frametitle{Jumping Towers}
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\begin{center}
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\begin{tikzpicture}[scale=1.3]
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  \draw[line width=1mm,cap=round] (0,0) -- (5,0);
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  \draw[line width=1mm,cap=round] (0,1) -- (5,1);
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  \draw[line width=1mm,cap=round] (0,0) -- (0,1);
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  \node at (0.5,0.5) {\textbf{\Large 3}};
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  \draw[line width=1mm,cap=round] (1,0) -- (1,1);
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  \node at (1.5,0.5) {\textbf{\Large 4}};
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  \draw[line width=1mm,cap=round] (2,0) -- (2,1);
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  \node at (2.5,0.5) {\textbf{\Large 2}};
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  \draw[line width=1mm,cap=round] (3,0) -- (3,1);
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  \node at (3.5,0.5) {\textbf{\Large 0}};
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  \node at (4.5,0.5) {\textbf{\Large 1}};
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  \draw[line width=1mm,cap=round] (5,0) -- (5,1);
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  \draw[->,line width=0.5mm,cap=round,out=90,in=90,relative] (0.5,1) to (1.5,1);
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  \draw[->,line width=0.5mm,cap=round,out=90,in=90,relative] (0.5,1) to (2.5,1);
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  \draw[->,line width=0.5mm,cap=round,out=90,in=90,relative] (0.5,1) to (3.5,1);
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  \draw[->,line width=0.5mm,cap=round,out=-90,in=-90,relative] (2.5,0) to (3.5,0);
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  \draw[->,line width=0.5mm,cap=round,out=-90,in=-90,relative] (2.5,0) to (4.5,0);
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  \draw[->,line width=0.5mm,cap=round,out=90,in=90,relative] (4.5,1) to (5.7,1);
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  \node at (5.7, 0.8) {End};
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\end{tikzpicture}
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\end{center}\bigskip
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shortest: 3 $\rightarrow$ 4 $\rightarrow$ End
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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\begin{frame}[c]
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\frametitle{``Children'' / moves}
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\begin{center}
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  \begin{tikzpicture}
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    [grow=right,level distance=30mm,child anchor=north,line width=0.5mm]
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  \node {$[3,4,2,0,1]$}
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     child {node {$[0,1]$}}
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     child {node {$[2,0,1]$}
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        child {node {$[1]$} child [level distance=13mm] {node {End}}}
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        child {node {$[0,1]$}}
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     }
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     child {node {$[4,2,0,1]$\ldots}};
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\end{tikzpicture}
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\end{center}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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\begin{frame}[c,fragile]
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\frametitle{Reverse Polish Notation}
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{\Large\bl{$(3 + 1) * (2 + 9)$}}\bigskip
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{\Large$\Rightarrow$}\bigskip
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{\;\;\Large\bl{$3\;\;1\;+\;2\;\;9\;+\;*$}}
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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\begin{frame}[c,fragile]
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\frametitle{Sudoku}
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A very simple-minded version on 110 problems:\bigskip
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\begin{itemize}
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\item 1 core: 800 secs
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\item 2 cores: 400 secs
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\item 8 cores: 290 secs
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\item 18 cores: 142 secs
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\end{itemize}
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70
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\end{frame}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\end{document}
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\end{document}
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%%% Local Variables:  
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%%% mode: latex
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%%% TeX-master: t
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%%% End: 
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