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\usepackage{xcolor}
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%%\usepackage{fontspec}
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\usepackage[sc]{mathpazo}
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\usepackage{fontspec}
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\setmainfont[Ligatures=TeX]{Palatino Linotype}
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\usepackage{amssymb}
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\usepackage{amsmath}
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\usepackage{menukeys}
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\definecolor{darkblue}{rgb}{0,0,0.6}
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\usepackage[colorlinks=true,urlcolor=darkblue,linkcolor=darkblue]{hyperref}
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%%% for regular expressions and values
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\newcommand{\ZERO}{\mbox{\bf 0}}
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\newcommand{\ONE}{\mbox{\bf 1}}
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\newcommand{\Left}{\textit{Left}}
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\newcommand{\Der}{\textit{Der}}
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\newcommand{\der}{\textit{der}}
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\newcommand{\Ders}{\textit{Ders}}
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\newcommand{\ders}{\textit{ders}}
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%%% for trees
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%% http://anorien.csc.warwick.ac.uk/mirrors/CTAN/graphics/pgf/contrib/forest/forest.pdf
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\newcommand\grid[1]{%
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\begin{tikzpicture}[baseline=(char.base)]
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\path[use as bounding box]
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(0,0) rectangle (1em,1em);
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\draw[red!50, fill=red!20]
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(0,0) rectangle (1em,1em);
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\node[inner sep=1pt,anchor=base west]
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(char) at (0em,\gridraiseamount) {#1};
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\end{tikzpicture}}
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\newcommand\gridraiseamount{0.12em}
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\makeatletter
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\newcommand\Grid[1]{%
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\@tfor\z:=#1\do{\grid{\z}}}
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\makeatother
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\newcommand\Vspace[1][.3em]{%
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\mbox{\kern.06em\vrule height.3ex}%
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\vbox{\hrule width#1}%
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\hbox{\vrule height.3ex}}
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\def\VS{\Vspace[0.6em]}
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\newcommand{\dn}{\stackrel{\mbox{\scriptsize def}}{=}}
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\newcommand{\defn}[1]{\textit{\textbf{#1}}}
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\newcommand{\dq}[1]{\mbox{\tt{"}}#1\mbox{\tt{"}}}
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\definecolor{codegray}{gray}{0.9}
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\makeatletter
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\def\fnote{\gdef\@thefnmark{}\@footnotetext}
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\makeatother
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\newcommand{\HEADER}{{\bf Please submit your solutions via email. Please submit
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only ASCII text or PDFs. Every solution should be preceeded by the corresponding
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question text, like:
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\begin{center}
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\begin{tabular}{ll}
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Q$n$: & \ldots a difficult question from me\ldots\\
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A: & \ldots an answer from you \ldots\\
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Q$n+1$ & \ldots another difficult question\ldots\\
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A: & \ldots another brilliant answer from you\ldots
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\end{tabular}
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\end{center}
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\noindent Solutions will only be accepted until 20th December! Please send only
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one homework per email.}\bigskip}
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\newcommand{\POSTSCRIPT}{
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{\bf (Optional)} This question is for you to provide
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regular feedback to me: for example
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what were the most interesting, least interesting, or confusing
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parts in this lecture? Any problems with my Scala code? Please
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feel free to share any other questions or concerns.}
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