| 316 |      1 | % !TEX program = xelatex
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| 360 |      2 | \documentclass[dvipsnames,14pt,t,xelatex,aspectratio=169,xcolor={table}]{beamer}
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| 318 |      3 | %\usepackage{chessboard}
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|  |      4 | %\usepackage[LSBC4,T1]{fontenc}
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| 66 |      5 | \usepackage{../slides}
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|  |      6 | \usepackage{../graphics}
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|  |      7 | \usepackage{../langs}
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| 318 |      8 | \usetikzlibrary{shapes}
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| 148 |      9 | % \usepackage{../data}
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| 66 |     10 | 
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|  |     11 | \hfuzz=220pt 
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|  |     12 | 
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|  |     13 | %\setmonofont[Scale=.88]{Consolas}
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|  |     14 | %\newfontfamily{\consolas}{Consolas}
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|  |     15 | 
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|  |     16 | \lstset{language=Scala,
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|  |     17 |         style=mystyle,
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|  |     18 |         numbersep=0pt,
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|  |     19 |         numbers=none,
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|  |     20 |         xleftmargin=0mm}
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|  |     21 | 
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|  |     22 | \newcommand{\bl}[1]{\textcolor{blue}{#1}}     
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|  |     23 | 
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|  |     24 | % beamer stuff 
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|  |     25 | \renewcommand{\slidecaption}{PEP (Scala) 02, King's College London}
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|  |     26 | 
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| 318 |     27 | \newcommand{\UParrow}[3]{%
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|  |     28 | \begin{textblock}{0}(#2,#3)%
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|  |     29 | \onslide<#1>{%
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|  |     30 | \begin{tikzpicture}%
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|  |     31 | \node at (0,0) [single arrow, shape border rotate=90, fill=red,text=red]{a};%
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|  |     32 | \end{tikzpicture}}%
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|  |     33 | \end{textblock}}
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| 66 |     34 | 
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|  |     35 | \begin{document}
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|  |     36 | 
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|  |     37 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|  |     38 | \begin{frame}[t]
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|  |     39 | \frametitle{%
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|  |     40 |   \begin{tabular}{@ {}c@ {}}
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|  |     41 |   \\[5mm]
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|  |     42 |   \huge PEP Scala (2) 
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|  |     43 |   \end{tabular}}
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|  |     44 | 
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|  |     45 |   \normalsize
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|  |     46 |   \begin{center}
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|  |     47 |   \begin{tabular}{ll}
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| 147 |     48 |     Email:  & christian.urban at kcl.ac.uk\\
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| 360 |     49 |     %Office: & N\liningnums{7.07} (North Wing, Bush House)\bigskip\\
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| 316 |     50 |     Slides \& Code: & KEATS\bigskip\\
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| 360 |     51 |     %Office Hours: &  Thursdays 12:00 -- 14:00\\
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|  |     52 |     %Additionally: & (for Scala) Tuesdays 10:45 -- 11:45\\ 
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| 66 |     53 |   \end{tabular}
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|  |     54 |   \end{center}
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|  |     55 | 
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|  |     56 | 
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|  |     57 | \end{frame}
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|  |     58 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |     59 | 
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| 202 |     60 | 
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| 362 |     61 | % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |     62 | % \begin{frame}[t,fragile]
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|  |     63 | % \frametitle{For-Comprehensions}
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| 202 |     64 | 
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| 362 |     65 | % %\small
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|  |     66 | % \begin{lstlisting}[language=Scala,numbers=none]
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|  |     67 | % for (n <- List(1, 2, 3, 4, 5)) yield n * n
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|  |     68 | % \end{lstlisting}
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| 147 |     69 | 
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| 362 |     70 | % \begin{textblock}{5}(2,6)
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|  |     71 | % \includegraphics[scale=0.3]{../pics/fun.png}
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|  |     72 | % \end{textblock}  
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| 204 |     73 | 
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| 362 |     74 | % \begin{textblock}{5}(9,6)
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|  |     75 | % \includegraphics[scale=0.3]{../pics/fun.png}
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|  |     76 | % \end{textblock}  
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| 204 |     77 | 
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|  |     78 | 
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| 362 |     79 | % \end{frame}
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| 204 |     80 | 
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| 147 |     81 | 
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| 363 |     82 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |     83 | \begin{frame}[t]
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|  |     84 | \frametitle{For-Comprehensions}
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| 147 |     85 | 
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| 363 |     86 | \begin{center}
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|  |     87 |   \begin{tikzpicture}[scale=1,
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|  |     88 |                       node/.style={
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|  |     89 |                       rectangle,rounded corners=3mm,
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|  |     90 |                       very thick,draw=black!50,
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|  |     91 |                       minimum height=18mm, minimum width=20mm,
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|  |     92 |                       top color=white,bottom color=black!20}]
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| 147 |     93 | 
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| 363 |     94 |   \node (A0) at (0.1,0) {\texttt{\textcolor{purple}{\textbf{for}} (\alert<2->{n} <- List(}};
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|  |     95 |   \node (A1) at (2.3,0) {\texttt{\phantom{,}1,}};
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|  |     96 |   \node (A2) at (3.2,0) {\texttt{\phantom{,}2,}};
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|  |     97 |   \node (A3) at (4.1,0) {\texttt{\phantom{,}3,}};
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|  |     98 |   \node (A4) at (5.0,0) {\texttt{\phantom{,}4,}};
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|  |     99 |   \node (A5) at (5.9,0) {\texttt{\phantom{))}5))}};
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|  |    100 |   \node (A6) at (8,0) {\texttt{\textcolor{purple}{\textbf{yield}} \alert<2->{n\,*\,n}}};
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| 147 |    101 | 
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| 363 |    102 |   \onslide<2->{
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|  |    103 |   \node (B0) at (1.4,-3) {\texttt{List(}};
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|  |    104 |   \node (B1) at (2.3,-3) {\texttt{\phantom{,}1,}};
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|  |    105 |   \node (B2) at (3.6,-3) {\texttt{\phantom{,}4,}};
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|  |    106 |   \node (B3) at (4.9,-3) {\texttt{\phantom{,}9,}};
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|  |    107 |   \node (B4) at (6.2,-3) {\texttt{\phantom{,}16,}};
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|  |    108 |   \node (B5) at (7.5,-3) {\texttt{\phantom{,}25)}};}
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| 147 |    109 | 
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| 363 |    110 |   \onslide<2->{
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|  |    111 |   \draw [->,line width=1mm] (A1.south) -- (B1.north);
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|  |    112 |   \draw [->,line width=1mm] (A2.south) -- (B2.north);
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|  |    113 |   \draw [->,line width=1mm] (A3.south) -- (B3.north);
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|  |    114 |   \draw [->,line width=1mm] (A4.south) -- (B4.north);
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|  |    115 |   \draw [->,line width=1mm] (A5.south) -- (B5.north);}
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| 147 |    116 | 
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| 363 |    117 |   \onslide<2->{
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|  |    118 |   \node (Q1) at (-0.45,-0.1) {};
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|  |    119 |   \node (Q2) at (-0.45,-2.8) {};
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|  |    120 |   \node (Q3) at (-0.45,-2.95) {\alert<2->{\texttt{n\,*\,n:}}};
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|  |    121 |   \draw [->,red,line width=1mm] (Q1.south) -- (Q2.north);}
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|  |    122 |  \end{tikzpicture}
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|  |    123 | \end{center}
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| 147 |    124 | 
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| 363 |    125 | \onslide<3>{This is for when the for-comprehension\\ \textbf{yields / produces} a result.}
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| 147 |    126 | 
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| 363 |    127 | \end{frame}
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|  |    128 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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| 147 |    129 | 
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|  |    130 | 
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| 362 |    131 | % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |    132 | % \begin{frame}[t]
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|  |    133 | % \frametitle{For-Comprehensions Again}
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| 147 |    134 | 
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| 362 |    135 | % \begin{center}
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|  |    136 | %   \begin{tikzpicture}[scale=1,
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|  |    137 | %                       node/.style={
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|  |    138 | %                       rectangle,rounded corners=3mm,
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|  |    139 | %                       very thick,draw=black!50,
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|  |    140 | %                       minimum height=18mm, minimum width=20mm,
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|  |    141 | %                       top color=white,bottom color=black!20}]
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| 147 |    142 | 
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| 362 |    143 | %   \node (A0) at (0,0)
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|  |    144 | %     {\texttt{\textcolor{purple}{\textbf{for}} (n <- List(1, 2, 3, 4, 5))
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|  |    145 | %              \textcolor{purple}{\textbf{yield}} n\,*\,n}};
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| 147 |    146 | 
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| 362 |    147 | %   \node (A1) at (0,-1.5) {\LARGE\textbf{vs}};       
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| 147 |    148 |          
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| 362 |    149 | %   \node (A2) at (0,-3)
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|  |    150 | %     {\texttt{\textcolor{purple}{\textbf{for}} (n <- List(1, 2, 3, 4, 5)) println(n)}};
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|  |    151 | %  \end{tikzpicture}
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|  |    152 | % \end{center}\bigskip
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| 147 |    153 | 
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|  |    154 | 
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| 362 |    155 | % The second version is in case the for \textbf{does not}
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|  |    156 | % produce any result.
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| 147 |    157 | 
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| 362 |    158 | % \end{frame}
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|  |    159 | % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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| 147 |    160 | 
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|  |    161 | 
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|  |    162 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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| 318 |    163 | \begin{frame}[c,fragile]
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|  |    164 |   %\frametitle{Option Type}
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|  |    165 |   
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|  |    166 |   Find something below 4 in a list. What do you think Scala answers?\bigskip\bigskip
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|  |    167 |   
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|  |    168 |   \begin{onlyenv}<1>
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|  |    169 |   \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-1mm]
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|  |    170 |   List(7,2,3,4,5,6).find(_ < 4)
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|  |    171 |        
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|  |    172 |   List(5,6,7,8,9).find(_ < 4)
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|  |    173 |   \end{lstlisting}
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|  |    174 |   \end{onlyenv}
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|  |    175 |   \begin{onlyenv}<2>
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|  |    176 |   \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-1mm]
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|  |    177 |   List(7,2,3,4,5,6).find(_ < 4)
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|  |    178 |   res: Option[Int] = Some(2)
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|  |    179 |    
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|  |    180 |   List(5,6,7,8,9).find(_ < 4)
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|  |    181 |   res: Option[Int] = None
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|  |    182 |   \end{lstlisting}
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|  |    183 |   \end{onlyenv}
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|  |    184 |   
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|  |    185 |   \end{frame}
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|  |    186 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|  |    187 |  
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|  |    188 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |    189 | \begin{frame}[c]
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|  |    190 | \frametitle{Option Type}
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|  |    191 |     
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|  |    192 | \begin{itemize}
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|  |    193 | \item if the value is present, you use\bigskip
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|  |    194 | \begin{center}\pcode{Some(value)}\end{center}\bigskip\bigskip
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|  |    195 | 
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|  |    196 | \item if no value is present, you use\bigskip
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|  |    197 | \begin{center}\pcode{None}\end{center}\bigskip\bigskip
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|  |    198 | \end{itemize}
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|  |    199 | 
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|  |    200 | \small e.g.~\code{Option[Int]}, then \code{Some(42)} and \code{None}\\
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|  |    201 | good for error handling      
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|  |    202 | \end{frame}
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|  |    203 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|  |    204 |     
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|  |    205 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |    206 | \begin{frame}[c,fragile]
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| 317 |    207 | \frametitle{Option Type}
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| 66 |    208 | 
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| 318 |    209 | \small   
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|  |    210 | \begin{onlyenv}<1>
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|  |    211 | \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-1mm]
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|  |    212 | Integer.parseInt("1234")
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| 66 |    213 | 
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| 318 |    214 | // vs.
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|  |    215 | 
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|  |    216 | def get_me_an_int(s: String) : Option[Int] = 
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|  |    217 |  Try(Some(Integer.parseInt(s))).getOrElse(None)
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|  |    218 | \end{lstlisting}
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|  |    219 | \end{onlyenv}\bigskip\bigskip\bigskip
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|  |    220 |  
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| 319 |    221 | in the Scala code it is clear from the type I that have to deal 
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| 318 |    222 | with the \pcode{None}-case; no JavaDoc needed
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| 66 |    223 |   
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|  |    224 | \end{frame}
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| 147 |    225 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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| 318 |    226 |  
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| 66 |    227 | 
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| 317 |    228 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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| 318 |    229 | \begin{frame}[c,fragile]
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| 317 |    230 | \frametitle{Higher-Order Functions}
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|  |    231 |   
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| 318 |    232 | In Scala, functions can take other functions as arguments and can return 
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|  |    233 | a function as a result.\bigskip\bigskip  
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|  |    234 | 
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|  |    235 | \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]
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|  |    236 | List(7,2,3,4,5,6).find(_ < 4)
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|  |    237 | \end{lstlisting}
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|  |    238 |     
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| 362 |    239 | \UParrow{1}{8}{11}    
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| 318 |    240 | \end{frame}
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|  |    241 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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| 317 |    242 |   
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| 318 |    243 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |    244 | \begin{frame}[c,fragile]
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|  |    245 | \frametitle{Higher-Order Functions (2)}
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|  |    246 |   
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|  |    247 | 
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|  |    248 | \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]
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|  |    249 | def even(x: Int) : Boolean = x % 2 == 0
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|  |    250 | 
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|  |    251 | List(1, 2, 3, 4, 5).filter(even)
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|  |    252 |   res : List[Int] = List(2, 4)
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|  |    253 | 
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|  |    254 | List(1, 2, 3, 4, 5).count(even)
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|  |    255 |   res : Int = 2
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|  |    256 | 
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|  |    257 | List(1, 2, 3, 4, 5).find(even)
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|  |    258 |   res: Option[Int] = Some(2)
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|  |    259 | \end{lstlisting}
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| 317 |    260 |     
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|  |    261 | \end{frame}
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|  |    262 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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| 362 |    263 | 
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|  |    264 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |    265 | \begin{frame}[c,fragile]
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|  |    266 | \frametitle{Anonymous Functions}
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|  |    267 |   
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|  |    268 | 
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|  |    269 | \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]
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|  |    270 | def less4(x: Int) = x < 4
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|  |    271 | \end{lstlisting}
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|  |    272 | 
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|  |    273 | \begin{center}
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|  |    274 | vs
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|  |    275 | \end{center}  
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|  |    276 | 
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|  |    277 | \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]
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|  |    278 |       (x: Int) => x < 4
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|  |    279 | \end{lstlisting}
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|  |    280 | 
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|  |    281 | \end{frame}
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|  |    282 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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| 318 |    283 |     
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|  |    284 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |    285 | \begin{frame}[c,fragile]
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|  |    286 | \frametitle{map (lower case)}
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|  |    287 | 
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|  |    288 |  applies a function to each element of a list (and more)
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|  |    289 | 
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|  |    290 | \begin{center}
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|  |    291 | \begin{tikzpicture}[scale=0.9]
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|  |    292 |                       
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|  |    293 |   \node (A0) at (1.2,0) {\texttt{List(\,}};
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|  |    294 |   \node (A1) at (2.0,0) {\texttt{1\makebox[0mm]{ ,}}};
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|  |    295 |   \node (A2) at (2.9,0) {\texttt{2\makebox[0mm]{ ,}}};
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|  |    296 |   \node (A3) at (3.8,0) {\texttt{3\makebox[0mm]{ ,}}};
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|  |    297 |   \node (A4) at (4.7,0) {\texttt{4\makebox[0mm]{ ,}}};
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|  |    298 |   \node (A5) at (5.6,0) {\texttt{5\makebox[0mm]{ ,}}};
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|  |    299 |   \node (A6) at (6.5,0) {\texttt{6\makebox[0mm]{ ,}}};
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|  |    300 |   \node (A7) at (7.4,0) {\texttt{7\makebox[0mm]{ ,}}};
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|  |    301 |   \node (A8) at (8.3,0) {\texttt{8)}};
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|  |    302 | 
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|  |    303 |   \node (B0) at (1.2,-3) {\texttt{List(\,}};
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|  |    304 |   \node (B1) at (2.0,-3) {\texttt{1\makebox[0mm]{ ,}}};
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|  |    305 |   \node (B2) at (3.0,-3) {\texttt{4\makebox[0mm]{ ,}}};
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|  |    306 |   \node (B3) at (4.1,-3) {\texttt{9\makebox[0mm]{ ,}}};
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|  |    307 |   \node (B4) at (5.2,-3) {\texttt{16\makebox[0mm]{ ,}}};
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|  |    308 |   \node (B5) at (6.3,-3) {\texttt{25\makebox[0mm]{ ,}}};
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|  |    309 |   \node (B6) at (7.4,-3) {\texttt{36\makebox[0mm]{ ,}}};
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|  |    310 |   \node (B7) at (8.4,-3) {\texttt{49\makebox[0mm]{ ,}}};
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|  |    311 |   \node (B8) at (9.4,-3) {\texttt{64\makebox[0mm]{ )}}};
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|  |    312 | 
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|  |    313 |   \draw [->,line width=1mm] (A1.south) -- (B1.north);
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|  |    314 |   \draw [->,line width=1mm] (A2.south) -- (B2.north);
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|  |    315 |   \draw [->,line width=1mm] (A3.south) -- (B3.north);
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|  |    316 |   \draw [->,line width=1mm] (A4.south) -- (B4.north);
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|  |    317 |   \draw [->,line width=1mm] (A5.south) -- (B5.north);
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|  |    318 |   \draw [->,line width=1mm] (A6.south) -- (B6.north);
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|  |    319 |   \draw [->,line width=1mm] (A7.south) -- (B7.north);
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|  |    320 |   \draw [->,line width=1mm] (A8.south) -- (B8.north);
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|  |    321 | 
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|  |    322 |   \node [red] (Q0) at (-0.5,-0.3) {\large\texttt{n}}; 
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|  |    323 |   \node (Q1) at (-0.5,-0.4) {};
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|  |    324 |   \node (Q2) at (-0.5,-2.5) {};
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|  |    325 |   \node [red] (Q3) at (-0.5,-2.65) {\large\texttt{n\,*\,n}};
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|  |    326 |   \draw [->,red,line width=1mm] (Q1.south) -- (Q2.north);
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|  |    327 | 
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|  |    328 |   \node [red] at (-1.5,-1.5) {\Large{}\it\textbf{map}};
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|  |    329 |  \end{tikzpicture}
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|  |    330 | \end{center}\bigskip
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|  |    331 | 
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|  |    332 | \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]
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|  |    333 | List(1,2,3,4,5,6,7,8).map(n => n * n)
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|  |    334 | \end{lstlisting}
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|  |    335 | \end{frame}
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|  |    336 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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| 317 |    337 |   
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| 318 |    338 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |    339 | \begin{frame}[c,fragile]
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|  |    340 | \frametitle{For-Comprehensions are maps}
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|  |    341 |   
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|  |    342 | \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=1mm]
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|  |    343 | for (n <- List(1,2,3,4,5,6,7,8)) 
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|  |    344 |   yield n * n
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|  |    345 | 
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|  |    346 | 
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|  |    347 | // is just syntactic sugar for
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|  |    348 | 
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|  |    349 | 
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|  |    350 | List(1,2,3,4,5,6,7,8).map(n => n * n)
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|  |    351 | \end{lstlisting}
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|  |    352 |     
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|  |    353 | \end{frame}
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|  |    354 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|  |    355 |     
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|  |    356 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |    357 | \begin{frame}[c,fragile]
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|  |    358 | \frametitle{Map (upper case)}
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|  |    359 | 
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|  |    360 | a type, representing a key-value association datastructure\bigskip\bigskip
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|  |    361 | 
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|  |    362 | \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-2mm]
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|  |    363 | val ascii = 
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|  |    364 |      ('a' to 'z').map(c => (c, c.toInt))
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|  |    365 | 
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|  |    366 | val ascii_Map = ascii.toMap
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|  |    367 | 
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|  |    368 | ascii_Map.get('a')   // -> 97
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|  |    369 | \end{lstlisting}
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|  |    370 | \end{frame}
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|  |    371 | 
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|  |    372 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |    373 | \begin{frame}[c,fragile]
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| 319 |    374 | \frametitle{Pattern Matching}
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|  |    375 | 
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|  |    376 | \ldots on pairs:\bigskip
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| 318 |    377 | 
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| 319 |    378 | \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-2mm]
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|  |    379 | def fizz_buzz(n: Int) : String = 
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|  |    380 |  (n % 3, n % 5) match {
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|  |    381 |    case (0, 0) => "fizz buzz"
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|  |    382 |    case (0, _) => "fizz"
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|  |    383 |    case (_, 0) => "buzz"
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|  |    384 |    case _ => n.toString  
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|  |    385 |  }
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|  |    386 | \end{lstlisting}
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|  |    387 | \end{frame}
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| 318 |    388 | 
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| 319 |    389 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |    390 | \begin{frame}[c,fragile]
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|  |    391 | \frametitle{Recursion}
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| 318 |    392 | 
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|  |    393 | \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-2mm]
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|  |    394 | def fib(n: Int) : Int = { 
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|  |    395 |   if (n == 0 || n == 1) 1
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|  |    396 |    else fib(n - 1) + fib(n - 2)
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|  |    397 | }
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|  |    398 | \end{lstlisting}
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|  |    399 | \end{frame}
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|  |    400 | 
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|  |    401 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |    402 | \begin{frame}[c,fragile]
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|  |    403 | \frametitle{Recursion}
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|  |    404 | 
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|  |    405 | \small
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|  |    406 | \begin{lstlisting}[language=Scala, numbers=none, xleftmargin=-4mm]
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|  |    407 | def my_flatten(xs: List[Option[Int]]): List[Int] = 
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|  |    408 |  xs match {
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|  |    409 |    case Nil => Nil 
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|  |    410 |    case None :: rest => my_flatten(rest)
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|  |    411 |    case Some(v) :: rest => v :: my_flatten(rest)
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|  |    412 |  }
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|  |    413 | \end{lstlisting}
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|  |    414 | \end{frame}
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|  |    415 | 
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|  |    416 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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| 317 |    417 | 
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| 148 |    418 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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| 316 |    419 | \begin{frame}[c]
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|  |    420 | \frametitle{\begin{tabular}{c}\\[0cm]\alert{Questions?}\end{tabular}}
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| 66 |    421 | 
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| 148 |    422 | \begin{center}
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| 316 |    423 |   \begin{tabular}[t]{@{}l@{}l@{}}
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|  |    424 |     \includegraphics[scale=0.1]{../pics/mand4.png} & \hspace{4mm}
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|  |    425 |     \raisebox{0mm}{\includegraphics[scale=0.1]{../pics/mand3.png}}      
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|  |    426 |   \end{tabular}     
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|  |    427 | \end{center}
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|  |    428 | 
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|  |    429 | \begin{center}
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|  |    430 |   My Office Hours: Thursdays 12 -- 14\\
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|  |    431 |   And specifically for Scala: Tuesdays 10:45 -- 11:45
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| 148 |    432 | \end{center}
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| 66 |    433 | \end{frame}
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|  |    434 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%   
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|  |    435 | 
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|  |    436 | 
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| 318 |    437 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|  |    438 | \begin{frame}[t]
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|  |    439 | 
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|  |    440 |   \begin{center}  
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|  |    441 |   \includegraphics[scale=0.3]{../pics/blow.png}
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|  |    442 |   \end{center}
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|  |    443 |   
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|  |    444 |   \begin{textblock}{14}(2,11.4)
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|  |    445 |   \large\bf{}Mind-Blowing Programming Languages:\\ 
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|  |    446 |   Overloading in any language is great but it makes a difference\; \code{10/3}
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|  |    447 |   \;or\; \code{10.0/3}
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|  |    448 |   \end{textblock}
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|  |    449 |   \end{frame}
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|  |    450 |   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|  |    451 |     
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|  |    452 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|  |    453 | \begin{frame}[t]
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|  |    454 | 
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|  |    455 |   \begin{center}  
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|  |    456 |   \includegraphics[scale=0.3]{../pics/blow.png}
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|  |    457 |   \end{center}
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|  |    458 |   
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|  |    459 |   \begin{textblock}{14}(2,11.4)
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|  |    460 |   \large\bf{}Mind-Blowing Programming Languages:\\ 
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| 319 |    461 |   \centering PHP \textcolor{gray}{(7.0)}
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| 318 |    462 |   \end{textblock}
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|  |    463 |   \end{frame}
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|  |    464 |   %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|  |    465 | 
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| 319 |    466 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
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|  |    467 | 
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|  |    468 | \begin{frame}[c]
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|  |    469 | \frametitle{Jumping Towers}
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|  |    470 | 
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|  |    471 | \begin{center}
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|  |    472 | \begin{tikzpicture}[scale=1.2]
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|  |    473 |   \draw[line width=1mm,cap=round] (0,0) -- (5,0);
 | 
|  |    474 |   \draw[line width=1mm,cap=round] (0,1) -- (5,1);
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|  |    475 | 
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|  |    476 |   \draw[line width=1mm,cap=round] (0,0) -- (0,1);
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|  |    477 |   \node at (0.5,0.5) {\textbf{\Large 3}};
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|  |    478 | 
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|  |    479 |   \draw[line width=1mm,cap=round] (1,0) -- (1,1);
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|  |    480 |   \node at (1.5,0.5) {\textbf{\Large 4}};
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|  |    481 | 
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|  |    482 |   \draw[line width=1mm,cap=round] (2,0) -- (2,1);
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|  |    483 |   \node at (2.5,0.5) {\textbf{\Large 2}};
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|  |    484 | 
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|  |    485 |   \draw[line width=1mm,cap=round] (3,0) -- (3,1);
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|  |    486 |   \node at (3.5,0.5) {\textbf{\Large 0}};
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|  |    487 |   
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|  |    488 |   \draw[line width=1mm,cap=round] (4,0) -- (4,1);
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|  |    489 | 
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|  |    490 |   \node at (4.5,0.5) {\textbf{\Large 1}};
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|  |    491 |   
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|  |    492 |   \draw[line width=1mm,cap=round] (5,0) -- (5,1);
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|  |    493 | 
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|  |    494 |   \draw[->,line width=0.5mm,cap=round,out=90,in=90,relative] (0.5,1) to (1.5,1);
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|  |    495 |   \draw[->,line width=0.5mm,cap=round,out=90,in=90,relative] (0.5,1) to (2.5,1);
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|  |    496 |   \draw[->,line width=0.5mm,cap=round,out=90,in=90,relative] (0.5,1) to (3.5,1);
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|  |    497 | 
 | 
|  |    498 |   \draw[->,line width=0.5mm,cap=round,out=-90,in=-90,relative] (2.5,0) to (3.5,0);
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|  |    499 |   \draw[->,line width=0.5mm,cap=round,out=-90,in=-90,relative] (2.5,0) to (4.5,0);
 | 
|  |    500 | 
 | 
|  |    501 |   \draw[->,line width=0.5mm,cap=round,out=90,in=90,relative] (4.5,1) to (5.7,1);
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|  |    502 |   \node at (5.7, 0.8) {End};
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|  |    503 | \end{tikzpicture}
 | 
|  |    504 | \end{center}\bigskip
 | 
|  |    505 | 
 | 
|  |    506 | 
 | 
|  |    507 | shortest: 3 $\rightarrow$ 4 $\rightarrow$ End
 | 
|  |    508 | 
 | 
|  |    509 | \end{frame}
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|  |    510 | 
 | 
|  |    511 | 
 | 
|  |    512 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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|  |    513 | 
 | 
|  |    514 | 
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|  |    515 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%     
 | 
|  |    516 | 
 | 
|  |    517 | \begin{frame}[c]
 | 
|  |    518 | \frametitle{``Children'' / moves}
 | 
|  |    519 | 
 | 
|  |    520 | \begin{center}
 | 
|  |    521 |   \begin{tikzpicture}
 | 
|  |    522 |     [grow=right,level distance=30mm,child anchor=north,line width=0.5mm]
 | 
|  |    523 |   \node {$[3,4,2,0,1]$}
 | 
|  |    524 |      child {node {$[0,1]$}}
 | 
|  |    525 |      child {node {$[2,0,1]$}
 | 
|  |    526 |         child {node {$[1]$} child [level distance=13mm] {node {End}}}
 | 
|  |    527 |         child {node {$[0,1]$}}
 | 
|  |    528 |      }
 | 
|  |    529 |      child {node {$[4,2,0,1]$\ldots}};
 | 
|  |    530 | \end{tikzpicture}
 | 
|  |    531 | \end{center}
 | 
| 363 |    532 | \end{frame}
 | 
| 319 |    533 | 
 | 
| 363 |    534 | \begin{frame}<1-10>[t]
 | 
|  |    535 |   
 | 
|  |    536 | \end{frame}
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| 319 |    537 | 
 | 
|  |    538 | 
 | 
|  |    539 | 
 | 
|  |    540 | %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 | 
| 318 |    541 | 
 | 
| 66 |    542 | \end{document}
 | 
|  |    543 | 
 | 
|  |    544 | %%% Local Variables:  
 | 
|  |    545 | %%% mode: latex
 | 
|  |    546 | %%% TeX-master: t
 | 
|  |    547 | %%% End: 
 | 
|  |    548 | 
 |