627 lines
37 KiB
TeX
627 lines
37 KiB
TeX
\documentclass[11pt]{article}
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\usepackage[breakable]{tcolorbox}
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\usepackage{parskip} % Stop auto-indenting (to mimic markdown behaviour)
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\usepackage{iftex}
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\ifPDFTeX
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\usepackage[T1]{fontenc}
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\usepackage{mathpazo}
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\else
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\usepackage{fontspec}
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\fi
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% Basic figure setup, for now with no caption control since it's done
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% automatically by Pandoc (which extracts  syntax from Markdown).
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\usepackage{graphicx}
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% Maintain compatibility with old templates. Remove in nbconvert 6.0
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\let\Oldincludegraphics\includegraphics
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% Ensure that by default, figures have no caption (until we provide a
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% proper Figure object with a Caption API and a way to capture that
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% in the conversion process - todo).
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\usepackage{caption}
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\DeclareCaptionFormat{nocaption}{}
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\captionsetup{format=nocaption,aboveskip=0pt,belowskip=0pt}
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\usepackage[Export]{adjustbox} % Used to constrain images to a maximum size
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\adjustboxset{max size={0.9\linewidth}{0.9\paperheight}}
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\usepackage{float}
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\floatplacement{figure}{H} % forces figures to be placed at the correct location
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\usepackage{xcolor} % Allow colors to be defined
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\usepackage{enumerate} % Needed for markdown enumerations to work
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\usepackage{geometry} % Used to adjust the document margins
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\usepackage{amsmath} % Equations
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\usepackage{amssymb} % Equations
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\usepackage{textcomp} % defines textquotesingle
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% Hack from http://tex.stackexchange.com/a/47451/13684:
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\AtBeginDocument{%
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\def\PYZsq{\textquotesingle}% Upright quotes in Pygmentized code
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}
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\usepackage{upquote} % Upright quotes for verbatim code
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\usepackage{eurosym} % defines \euro
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\usepackage[mathletters]{ucs} % Extended unicode (utf-8) support
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\usepackage{fancyvrb} % verbatim replacement that allows latex
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\usepackage{grffile} % extends the file name processing of package graphics
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% to support a larger range
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\makeatletter % fix for grffile with XeLaTeX
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\def\Gread@@xetex#1{%
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\IfFileExists{"\Gin@base".bb}%
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{\Gread@eps{\Gin@base.bb}}%
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{\Gread@@xetex@aux#1}%
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}
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\makeatother
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% The hyperref package gives us a pdf with properly built
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% internal navigation ('pdf bookmarks' for the table of contents,
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% internal cross-reference links, web links for URLs, etc.)
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\usepackage{hyperref}
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% The default LaTeX title has an obnoxious amount of whitespace. By default,
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% titling removes some of it. It also provides customization options.
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\usepackage{titling}
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\usepackage{longtable} % longtable support required by pandoc >1.10
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\usepackage{booktabs} % table support for pandoc > 1.12.2
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\usepackage[inline]{enumitem} % IRkernel/repr support (it uses the enumerate* environment)
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\usepackage[normalem]{ulem} % ulem is needed to support strikethroughs (\sout)
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% normalem makes italics be italics, not underlines
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\usepackage{mathrsfs}
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% Colors for the hyperref package
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\definecolor{urlcolor}{rgb}{0,.145,.698}
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\definecolor{linkcolor}{rgb}{.71,0.21,0.01}
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\definecolor{citecolor}{rgb}{.12,.54,.11}
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% ANSI colors
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\definecolor{ansi-black}{HTML}{3E424D}
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\definecolor{ansi-black-intense}{HTML}{282C36}
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\definecolor{ansi-red}{HTML}{E75C58}
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\definecolor{ansi-red-intense}{HTML}{B22B31}
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\definecolor{ansi-green}{HTML}{00A250}
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\definecolor{ansi-green-intense}{HTML}{007427}
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\definecolor{ansi-yellow}{HTML}{DDB62B}
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\definecolor{ansi-yellow-intense}{HTML}{B27D12}
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\definecolor{ansi-blue}{HTML}{208FFB}
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\definecolor{ansi-blue-intense}{HTML}{0065CA}
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\definecolor{ansi-magenta}{HTML}{D160C4}
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\definecolor{ansi-magenta-intense}{HTML}{A03196}
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\definecolor{ansi-cyan}{HTML}{60C6C8}
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\definecolor{ansi-cyan-intense}{HTML}{258F8F}
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\definecolor{ansi-white}{HTML}{C5C1B4}
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\definecolor{ansi-white-intense}{HTML}{A1A6B2}
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\definecolor{ansi-default-inverse-fg}{HTML}{FFFFFF}
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\definecolor{ansi-default-inverse-bg}{HTML}{000000}
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% commands and environments needed by pandoc snippets
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% extracted from the output of `pandoc -s`
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\providecommand{\tightlist}{%
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\setlength{\itemsep}{0pt}\setlength{\parskip}{0pt}}
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\DefineVerbatimEnvironment{Highlighting}{Verbatim}{commandchars=\\\{\}}
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% Add ',fontsize=\small' for more characters per line
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\newenvironment{Shaded}{}{}
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\newcommand{\KeywordTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{\textbf{{#1}}}}
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\newcommand{\DataTypeTok}[1]{\textcolor[rgb]{0.56,0.13,0.00}{{#1}}}
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\newcommand{\DecValTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}}
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\newcommand{\BaseNTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}}
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\newcommand{\FloatTok}[1]{\textcolor[rgb]{0.25,0.63,0.44}{{#1}}}
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\newcommand{\CharTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}}
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\newcommand{\StringTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}}
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\newcommand{\CommentTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textit{{#1}}}}
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\newcommand{\OtherTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{{#1}}}
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\newcommand{\AlertTok}[1]{\textcolor[rgb]{1.00,0.00,0.00}{\textbf{{#1}}}}
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\newcommand{\FunctionTok}[1]{\textcolor[rgb]{0.02,0.16,0.49}{{#1}}}
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\newcommand{\RegionMarkerTok}[1]{{#1}}
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\newcommand{\ErrorTok}[1]{\textcolor[rgb]{1.00,0.00,0.00}{\textbf{{#1}}}}
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\newcommand{\NormalTok}[1]{{#1}}
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% Additional commands for more recent versions of Pandoc
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\newcommand{\ConstantTok}[1]{\textcolor[rgb]{0.53,0.00,0.00}{{#1}}}
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\newcommand{\SpecialCharTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}}
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\newcommand{\VerbatimStringTok}[1]{\textcolor[rgb]{0.25,0.44,0.63}{{#1}}}
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\newcommand{\SpecialStringTok}[1]{\textcolor[rgb]{0.73,0.40,0.53}{{#1}}}
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\newcommand{\ImportTok}[1]{{#1}}
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\newcommand{\DocumentationTok}[1]{\textcolor[rgb]{0.73,0.13,0.13}{\textit{{#1}}}}
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\newcommand{\AnnotationTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}}
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\newcommand{\CommentVarTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}}
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\newcommand{\VariableTok}[1]{\textcolor[rgb]{0.10,0.09,0.49}{{#1}}}
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\newcommand{\ControlFlowTok}[1]{\textcolor[rgb]{0.00,0.44,0.13}{\textbf{{#1}}}}
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\newcommand{\OperatorTok}[1]{\textcolor[rgb]{0.40,0.40,0.40}{{#1}}}
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\newcommand{\BuiltInTok}[1]{{#1}}
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\newcommand{\ExtensionTok}[1]{{#1}}
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\newcommand{\PreprocessorTok}[1]{\textcolor[rgb]{0.74,0.48,0.00}{{#1}}}
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\newcommand{\AttributeTok}[1]{\textcolor[rgb]{0.49,0.56,0.16}{{#1}}}
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\newcommand{\InformationTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}}
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\newcommand{\WarningTok}[1]{\textcolor[rgb]{0.38,0.63,0.69}{\textbf{\textit{{#1}}}}}
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% Define a nice break command that doesn't care if a line doesn't already
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% exist.
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\def\br{\hspace*{\fill} \\* }
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% Math Jax compatibility definitions
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\def\gt{>}
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\def\lt{<}
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\let\Oldtex\TeX
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\let\Oldlatex\LaTeX
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\renewcommand{\TeX}{\textrm{\Oldtex}}
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\renewcommand{\LaTeX}{\textrm{\Oldlatex}}
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% Document parameters
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% Document title
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\title{figure\_9}
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% Pygments definitions
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\makeatletter
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\def\PY@reset{\let\PY@it=\relax \let\PY@bf=\relax%
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\let\PY@ul=\relax \let\PY@tc=\relax%
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\let\PY@bc=\relax \let\PY@ff=\relax}
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\def\PY@tok#1{\csname PY@tok@#1\endcsname}
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\def\PY@toks#1+{\ifx\relax#1\empty\else%
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\PY@tok{#1}\expandafter\PY@toks\fi}
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\def\PY@do#1{\PY@bc{\PY@tc{\PY@ul{%
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\PY@it{\PY@bf{\PY@ff{#1}}}}}}}
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\def\PY#1#2{\PY@reset\PY@toks#1+\relax+\PY@do{#2}}
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\expandafter\def\csname PY@tok@w\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.73,0.73}{##1}}}
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\expandafter\def\csname PY@tok@c\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}}
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\expandafter\def\csname PY@tok@cp\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.74,0.48,0.00}{##1}}}
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\expandafter\def\csname PY@tok@k\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
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\expandafter\def\csname PY@tok@kp\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
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\expandafter\def\csname PY@tok@kt\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.69,0.00,0.25}{##1}}}
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\expandafter\def\csname PY@tok@o\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
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\expandafter\def\csname PY@tok@ow\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.67,0.13,1.00}{##1}}}
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\expandafter\def\csname PY@tok@nb\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
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\expandafter\def\csname PY@tok@nf\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}}
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\expandafter\def\csname PY@tok@nc\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}}
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\expandafter\def\csname PY@tok@nn\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}}
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\expandafter\def\csname PY@tok@ne\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.82,0.25,0.23}{##1}}}
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\expandafter\def\csname PY@tok@nv\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}}
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\expandafter\def\csname PY@tok@no\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.53,0.00,0.00}{##1}}}
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\expandafter\def\csname PY@tok@nl\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.63,0.63,0.00}{##1}}}
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\expandafter\def\csname PY@tok@ni\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.60,0.60,0.60}{##1}}}
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\expandafter\def\csname PY@tok@na\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.49,0.56,0.16}{##1}}}
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\expandafter\def\csname PY@tok@nt\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
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\expandafter\def\csname PY@tok@nd\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.67,0.13,1.00}{##1}}}
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\expandafter\def\csname PY@tok@s\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
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\expandafter\def\csname PY@tok@sd\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
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\expandafter\def\csname PY@tok@si\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.73,0.40,0.53}{##1}}}
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\expandafter\def\csname PY@tok@se\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.73,0.40,0.13}{##1}}}
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\expandafter\def\csname PY@tok@sr\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.40,0.53}{##1}}}
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\expandafter\def\csname PY@tok@ss\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}}
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\expandafter\def\csname PY@tok@sx\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
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\expandafter\def\csname PY@tok@m\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
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\expandafter\def\csname PY@tok@gh\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,0.50}{##1}}}
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\expandafter\def\csname PY@tok@gu\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.50,0.00,0.50}{##1}}}
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\expandafter\def\csname PY@tok@gd\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.63,0.00,0.00}{##1}}}
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\expandafter\def\csname PY@tok@gi\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.63,0.00}{##1}}}
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\expandafter\def\csname PY@tok@gr\endcsname{\def\PY@tc##1{\textcolor[rgb]{1.00,0.00,0.00}{##1}}}
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\expandafter\def\csname PY@tok@ge\endcsname{\let\PY@it=\textit}
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\expandafter\def\csname PY@tok@gs\endcsname{\let\PY@bf=\textbf}
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\expandafter\def\csname PY@tok@gp\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,0.50}{##1}}}
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\expandafter\def\csname PY@tok@go\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.53,0.53,0.53}{##1}}}
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\expandafter\def\csname PY@tok@gt\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.27,0.87}{##1}}}
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\expandafter\def\csname PY@tok@err\endcsname{\def\PY@bc##1{\setlength{\fboxsep}{0pt}\fcolorbox[rgb]{1.00,0.00,0.00}{1,1,1}{\strut ##1}}}
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\expandafter\def\csname PY@tok@kc\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
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\expandafter\def\csname PY@tok@kd\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
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\expandafter\def\csname PY@tok@kn\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
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\expandafter\def\csname PY@tok@kr\endcsname{\let\PY@bf=\textbf\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
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\expandafter\def\csname PY@tok@bp\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.50,0.00}{##1}}}
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\expandafter\def\csname PY@tok@fm\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.00,0.00,1.00}{##1}}}
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\expandafter\def\csname PY@tok@vc\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}}
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\expandafter\def\csname PY@tok@vg\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}}
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\expandafter\def\csname PY@tok@vi\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}}
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\expandafter\def\csname PY@tok@vm\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.10,0.09,0.49}{##1}}}
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\expandafter\def\csname PY@tok@sa\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
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\expandafter\def\csname PY@tok@sb\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
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\expandafter\def\csname PY@tok@sc\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
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\expandafter\def\csname PY@tok@dl\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
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\expandafter\def\csname PY@tok@s2\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
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\expandafter\def\csname PY@tok@sh\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
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\expandafter\def\csname PY@tok@s1\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.73,0.13,0.13}{##1}}}
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\expandafter\def\csname PY@tok@mb\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
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\expandafter\def\csname PY@tok@mf\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
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\expandafter\def\csname PY@tok@mh\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
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\expandafter\def\csname PY@tok@mi\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
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\expandafter\def\csname PY@tok@il\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
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\expandafter\def\csname PY@tok@mo\endcsname{\def\PY@tc##1{\textcolor[rgb]{0.40,0.40,0.40}{##1}}}
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\expandafter\def\csname PY@tok@ch\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}}
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\expandafter\def\csname PY@tok@cm\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}}
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\expandafter\def\csname PY@tok@cpf\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}}
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\expandafter\def\csname PY@tok@c1\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}}
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\expandafter\def\csname PY@tok@cs\endcsname{\let\PY@it=\textit\def\PY@tc##1{\textcolor[rgb]{0.25,0.50,0.50}{##1}}}
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\def\PYZbs{\char`\\}
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\def\PYZus{\char`\_}
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\def\PYZob{\char`\{}
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\def\PYZcb{\char`\}}
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\def\PYZca{\char`\^}
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\def\PYZam{\char`\&}
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\def\PYZlt{\char`\<}
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\def\PYZgt{\char`\>}
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\def\PYZsh{\char`\#}
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\def\PYZpc{\char`\%}
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\def\PYZdl{\char`\$}
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\def\PYZhy{\char`\-}
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\def\PYZsq{\char`\'}
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\def\PYZdq{\char`\"}
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\def\PYZti{\char`\~}
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% for compatibility with earlier versions
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\def\PYZat{@}
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\def\PYZlb{[}
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\def\PYZrb{]}
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\makeatother
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% For linebreaks inside Verbatim environment from package fancyvrb.
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\makeatletter
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\newbox\Wrappedcontinuationbox
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\newbox\Wrappedvisiblespacebox
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\newcommand*\Wrappedvisiblespace {\textcolor{red}{\textvisiblespace}}
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\newcommand*\Wrappedcontinuationsymbol {\textcolor{red}{\llap{\tiny$\m@th\hookrightarrow$}}}
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\newcommand*\Wrappedcontinuationindent {3ex }
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\newcommand*\Wrappedafterbreak {\kern\Wrappedcontinuationindent\copy\Wrappedcontinuationbox}
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% Take advantage of the already applied Pygments mark-up to insert
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% potential linebreaks for TeX processing.
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% {, <, #, %, $, ' and ": go to next line.
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% _, }, ^, &, >, - and ~: stay at end of broken line.
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% Use of \textquotesingle for straight quote.
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\newcommand*\Wrappedbreaksatspecials {%
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\def\PYGZus{\discretionary{\char`\_}{\Wrappedafterbreak}{\char`\_}}%
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\def\PYGZob{\discretionary{}{\Wrappedafterbreak\char`\{}{\char`\{}}%
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\def\PYGZcb{\discretionary{\char`\}}{\Wrappedafterbreak}{\char`\}}}%
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\def\PYGZca{\discretionary{\char`\^}{\Wrappedafterbreak}{\char`\^}}%
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\def\PYGZam{\discretionary{\char`\&}{\Wrappedafterbreak}{\char`\&}}%
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\def\PYGZlt{\discretionary{}{\Wrappedafterbreak\char`\<}{\char`\<}}%
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\def\PYGZgt{\discretionary{\char`\>}{\Wrappedafterbreak}{\char`\>}}%
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\def\PYGZsh{\discretionary{}{\Wrappedafterbreak\char`\#}{\char`\#}}%
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\def\PYGZpc{\discretionary{}{\Wrappedafterbreak\char`\%}{\char`\%}}%
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\def\PYGZdl{\discretionary{}{\Wrappedafterbreak\char`\$}{\char`\$}}%
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\def\PYGZhy{\discretionary{\char`\-}{\Wrappedafterbreak}{\char`\-}}%
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\def\PYGZsq{\discretionary{}{\Wrappedafterbreak\textquotesingle}{\textquotesingle}}%
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|
\def\PYGZdq{\discretionary{}{\Wrappedafterbreak\char`\"}{\char`\"}}%
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|
\def\PYGZti{\discretionary{\char`\~}{\Wrappedafterbreak}{\char`\~}}%
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}
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% Some characters . , ; ? ! / are not pygmentized.
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% This macro makes them "active" and they will insert potential linebreaks
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\newcommand*\Wrappedbreaksatpunct {%
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\lccode`\~`\.\lowercase{\def~}{\discretionary{\hbox{\char`\.}}{\Wrappedafterbreak}{\hbox{\char`\.}}}%
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\lccode`\~`\,\lowercase{\def~}{\discretionary{\hbox{\char`\,}}{\Wrappedafterbreak}{\hbox{\char`\,}}}%
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\lccode`\~`\;\lowercase{\def~}{\discretionary{\hbox{\char`\;}}{\Wrappedafterbreak}{\hbox{\char`\;}}}%
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\lccode`\~`\:\lowercase{\def~}{\discretionary{\hbox{\char`\:}}{\Wrappedafterbreak}{\hbox{\char`\:}}}%
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\lccode`\~`\?\lowercase{\def~}{\discretionary{\hbox{\char`\?}}{\Wrappedafterbreak}{\hbox{\char`\?}}}%
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\lccode`\~`\!\lowercase{\def~}{\discretionary{\hbox{\char`\!}}{\Wrappedafterbreak}{\hbox{\char`\!}}}%
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\lccode`\~`\/\lowercase{\def~}{\discretionary{\hbox{\char`\/}}{\Wrappedafterbreak}{\hbox{\char`\/}}}%
|
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\catcode`\.\active
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\catcode`\,\active
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\catcode`\;\active
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\catcode`\:\active
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\catcode`\?\active
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\catcode`\!\active
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\catcode`\/\active
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\lccode`\~`\~
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}
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\makeatother
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\let\OriginalVerbatim=\Verbatim
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\makeatletter
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\renewcommand{\Verbatim}[1][1]{%
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%\parskip\z@skip
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\sbox\Wrappedcontinuationbox {\Wrappedcontinuationsymbol}%
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\sbox\Wrappedvisiblespacebox {\FV@SetupFont\Wrappedvisiblespace}%
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\def\FancyVerbFormatLine ##1{\hsize\linewidth
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\vtop{\raggedright\hyphenpenalty\z@\exhyphenpenalty\z@
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\doublehyphendemerits\z@\finalhyphendemerits\z@
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\strut ##1\strut}%
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}%
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% If the linebreak is at a space, the latter will be displayed as visible
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% space at end of first line, and a continuation symbol starts next line.
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% Stretch/shrink are however usually zero for typewriter font.
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\def\FV@Space {%
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\nobreak\hskip\z@ plus\fontdimen3\font minus\fontdimen4\font
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\discretionary{\copy\Wrappedvisiblespacebox}{\Wrappedafterbreak}
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{\kern\fontdimen2\font}%
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}%
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% Allow breaks at special characters using \PYG... macros.
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\Wrappedbreaksatspecials
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% Breaks at punctuation characters . , ; ? ! and / need catcode=\active
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\OriginalVerbatim[#1,codes*=\Wrappedbreaksatpunct]%
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}
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\makeatother
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% Exact colors from NB
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\definecolor{incolor}{HTML}{303F9F}
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\definecolor{outcolor}{HTML}{D84315}
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\definecolor{cellborder}{HTML}{CFCFCF}
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\definecolor{cellbackground}{HTML}{F7F7F7}
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% prompt
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\makeatletter
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\newcommand{\boxspacing}{\kern\kvtcb@left@rule\kern\kvtcb@boxsep}
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\makeatother
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\newcommand{\prompt}[4]{
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\ttfamily\llap{{\color{#2}[#3]:\hspace{3pt}#4}}\vspace{-\baselineskip}
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}
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% Prevent overflowing lines due to hard-to-break entities
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\sloppy
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% Setup hyperref package
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\hypersetup{
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breaklinks=true, % so long urls are correctly broken across lines
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colorlinks=true,
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urlcolor=urlcolor,
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linkcolor=linkcolor,
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citecolor=citecolor,
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}
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% Slightly bigger margins than the latex defaults
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\geometry{verbose,tmargin=1in,bmargin=1in,lmargin=1in,rmargin=1in}
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\begin{document}
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\maketitle
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\begin{tcolorbox}[breakable, size=fbox, boxrule=1pt, pad at break*=1mm,colback=cellbackground, colframe=cellborder]
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\prompt{In}{incolor}{5}{\boxspacing}
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\begin{Verbatim}[commandchars=\\\{\}]
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\PY{k+kn}{import} \PY{n+nn}{json}
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\PY{k+kn}{import} \PY{n+nn}{sys}
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\PY{k+kn}{import} \PY{n+nn}{glob}
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\PY{k+kn}{import} \PY{n+nn}{pandas} \PY{k}{as} \PY{n+nn}{pd}
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\PY{k+kn}{import} \PY{n+nn}{seaborn} \PY{k}{as} \PY{n+nn}{sns}
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\PY{k+kn}{import} \PY{n+nn}{matplotlib} \PY{k}{as} \PY{n+nn}{mpl}
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\PY{k+kn}{import} \PY{n+nn}{matplotlib}\PY{n+nn}{.}\PY{n+nn}{pyplot} \PY{k}{as} \PY{n+nn}{plt}
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\PY{k+kn}{import} \PY{n+nn}{numpy} \PY{k}{as} \PY{n+nn}{np}
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\end{Verbatim}
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\end{tcolorbox}
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\begin{tcolorbox}[breakable, size=fbox, boxrule=1pt, pad at break*=1mm,colback=cellbackground, colframe=cellborder]
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\prompt{In}{incolor}{6}{\boxspacing}
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\begin{Verbatim}[commandchars=\\\{\}]
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|
\PY{n}{DIR} \PY{o}{=} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{/Users/maggicl/Git/bachelorThesis/figure\PYZus{}9/}\PY{l+s+s2}{\PYZdq{}}
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\end{Verbatim}
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\end{tcolorbox}
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\begin{tcolorbox}[breakable, size=fbox, boxrule=1pt, pad at break*=1mm,colback=cellbackground, colframe=cellborder]
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\prompt{In}{incolor}{7}{\boxspacing}
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\begin{Verbatim}[commandchars=\\\{\}]
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|
\PY{k}{def} \PY{n+nf}{categorical\PYZus{}plot}\PY{p}{(}\PY{n}{df}\PY{p}{,} \PY{n}{key}\PY{p}{,} \PY{n}{title}\PY{p}{,} \PY{n}{sorted\PYZus{}xs} \PY{o}{=} \PY{k+kc}{None}\PY{p}{)}\PY{p}{:}
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\PY{k}{if} \PY{n}{sorted\PYZus{}xs} \PY{o}{==} \PY{k+kc}{None}\PY{p}{:}
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\PY{n}{xs} \PY{o}{=} \PY{n+nb}{set}\PY{p}{(}\PY{p}{)}
|
|
\PY{n}{lines} \PY{o}{=} \PY{p}{[}\PY{p}{]}
|
|
\PY{k}{for} \PY{n}{t} \PY{o+ow}{in} \PY{p}{[}\PY{l+m+mi}{4}\PY{p}{,}\PY{l+m+mi}{5}\PY{p}{,}\PY{l+m+mi}{6}\PY{p}{,}\PY{l+m+mi}{7}\PY{p}{,}\PY{l+m+mi}{8}\PY{p}{]}\PY{p}{:}
|
|
\PY{n}{xs} \PY{o}{=} \PY{n}{xs}\PY{o}{.}\PY{n}{union}\PY{p}{(}\PY{n}{np}\PY{o}{.}\PY{n}{array}\PY{p}{(}\PY{n}{df}\PY{p}{[}\PY{n}{df}\PY{o}{.}\PY{n}{term} \PY{o}{==} \PY{n}{t}\PY{p}{]}\PY{p}{[}\PY{n}{key}\PY{p}{]}\PY{p}{)}\PY{o}{.}\PY{n}{reshape}\PY{p}{(}\PY{o}{\PYZhy{}}\PY{l+m+mi}{1}\PY{p}{)}\PY{p}{)}
|
|
\PY{n}{xs} \PY{o}{=} \PY{p}{[}\PY{n+nb}{str}\PY{p}{(}\PY{n}{x}\PY{p}{)} \PY{k}{for} \PY{n}{x} \PY{o+ow}{in} \PY{n+nb}{sorted}\PY{p}{(}\PY{n}{xs}\PY{p}{)}\PY{p}{]}
|
|
\PY{k}{else}\PY{p}{:}
|
|
\PY{n}{xs} \PY{o}{=} \PY{n}{sorted\PYZus{}xs}
|
|
|
|
\PY{n}{plt}\PY{o}{.}\PY{n}{figure}\PY{p}{(}\PY{n}{figsize}\PY{o}{=}\PY{p}{(}\PY{l+m+mi}{11}\PY{p}{,}\PY{l+m+mi}{8}\PY{p}{)}\PY{p}{)}
|
|
\PY{n}{ax} \PY{o}{=} \PY{n}{plt}\PY{o}{.}\PY{n}{gca}\PY{p}{(}\PY{p}{)}
|
|
\PY{n}{lines} \PY{o}{=} \PY{p}{[}\PY{p}{]}
|
|
\PY{k}{for} \PY{n}{t} \PY{o+ow}{in} \PY{p}{[}\PY{l+m+mi}{4}\PY{p}{,}\PY{l+m+mi}{5}\PY{p}{,}\PY{l+m+mi}{6}\PY{p}{,}\PY{l+m+mi}{7}\PY{p}{,}\PY{l+m+mi}{8}\PY{p}{]}\PY{p}{:}
|
|
\PY{n}{ys} \PY{o}{=} \PY{p}{[}\PY{p}{]}
|
|
\PY{k}{for} \PY{n}{x} \PY{o+ow}{in} \PY{n}{xs}\PY{p}{:}
|
|
\PY{n}{partsum} \PY{o}{=} \PY{n}{df}\PY{p}{[}\PY{p}{(}\PY{n}{df}\PY{o}{.}\PY{n}{term} \PY{o}{!=} \PY{o}{\PYZhy{}}\PY{l+m+mi}{1}\PY{p}{)} \PY{o}{\PYZam{}} \PY{p}{(}\PY{n}{df}\PY{p}{[}\PY{n}{key}\PY{p}{]} \PY{o}{==} \PY{n}{x}\PY{p}{)}\PY{p}{]}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{count}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{o}{.}\PY{n}{sum}\PY{p}{(}\PY{p}{)}\PY{o}{.}\PY{n}{astype}\PY{p}{(}\PY{n+nb}{int}\PY{p}{)}
|
|
\PY{n}{y} \PY{o}{=} \PY{n}{df}\PY{p}{[}\PY{p}{(}\PY{n}{df}\PY{o}{.}\PY{n}{term} \PY{o}{==} \PY{n}{t}\PY{p}{)} \PY{o}{\PYZam{}} \PY{p}{(}\PY{n}{df}\PY{p}{[}\PY{n}{key}\PY{p}{]} \PY{o}{==} \PY{n}{x}\PY{p}{)}\PY{p}{]}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{count}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}
|
|
\PY{n}{ys}\PY{o}{.}\PY{n}{append}\PY{p}{(}\PY{p}{(}\PY{n}{y}\PY{o}{.}\PY{n}{values}\PY{o}{.}\PY{n}{astype}\PY{p}{(}\PY{n+nb}{int}\PY{p}{)}\PY{p}{[}\PY{l+m+mi}{0}\PY{p}{]} \PY{o}{/} \PY{n}{partsum} \PY{k}{if} \PY{n}{partsum} \PY{o}{\PYZgt{}} \PY{l+m+mi}{0} \PY{k}{else} \PY{n}{y}\PY{o}{.}\PY{n}{values}\PY{o}{.}\PY{n}{astype}\PY{p}{(}\PY{n+nb}{int}\PY{p}{)}\PY{p}{[}\PY{l+m+mi}{0}\PY{p}{]}\PY{p}{)} \PY{k}{if} \PY{n}{y}\PY{o}{.}\PY{n}{any}\PY{p}{(}\PY{p}{)} \PY{k}{else} \PY{l+m+mi}{0}\PY{p}{)}
|
|
\PY{n}{lines}\PY{o}{.}\PY{n}{append}\PY{p}{(}\PY{n}{ax}\PY{o}{.}\PY{n}{plot}\PY{p}{(}\PY{n}{xs}\PY{p}{,}\PY{n}{ys}\PY{p}{,} \PY{n}{marker}\PY{o}{=}\PY{l+s+s1}{\PYZsq{}}\PY{l+s+s1}{.}\PY{l+s+s1}{\PYZsq{}}\PY{p}{)}\PY{p}{[}\PY{l+m+mi}{0}\PY{p}{]}\PY{p}{)}
|
|
|
|
\PY{n}{plt}\PY{o}{.}\PY{n}{xticks}\PY{p}{(}\PY{n}{xs}\PY{p}{)}
|
|
\PY{n}{plt}\PY{o}{.}\PY{n}{legend}\PY{p}{(}\PY{n}{lines}\PY{p}{,} \PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{EVICT}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{FAIL}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{FINISH}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{KILL}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{LOST}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{,}
|
|
\PY{n}{bbox\PYZus{}to\PYZus{}anchor}\PY{o}{=}\PY{p}{(}\PY{l+m+mi}{1}\PY{p}{,}\PY{l+m+mi}{1}\PY{p}{)}\PY{p}{)}
|
|
\PY{n}{plt}\PY{o}{.}\PY{n}{title}\PY{p}{(}\PY{n}{title}\PY{p}{)}
|
|
\PY{n}{plt}\PY{o}{.}\PY{n}{show}\PY{p}{(}\PY{p}{)}
|
|
\end{Verbatim}
|
|
\end{tcolorbox}
|
|
|
|
\begin{tcolorbox}[breakable, size=fbox, boxrule=1pt, pad at break*=1mm,colback=cellbackground, colframe=cellborder]
|
|
\prompt{In}{incolor}{8}{\boxspacing}
|
|
\begin{Verbatim}[commandchars=\\\{\}]
|
|
\PY{k}{def} \PY{n+nf}{to\PYZus{}9a\PYZus{}bin}\PY{p}{(}\PY{n}{col}\PY{p}{)}\PY{p}{:}
|
|
\PY{c+c1}{\PYZsh{} 1 [2,10] [11,50] [51,100] 101+}
|
|
\PY{k}{if} \PY{n}{col} \PY{o}{\PYZlt{}}\PY{o}{=} \PY{l+m+mi}{0}\PY{p}{:}
|
|
\PY{k}{return} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{None known}\PY{l+s+s2}{\PYZdq{}}
|
|
\PY{k}{elif} \PY{n}{col} \PY{o}{==} \PY{l+m+mi}{1}\PY{p}{:}
|
|
\PY{k}{return} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{1}\PY{l+s+s2}{\PYZdq{}}
|
|
\PY{k}{elif} \PY{n}{col} \PY{o}{\PYZlt{}}\PY{o}{=} \PY{l+m+mi}{10}\PY{p}{:}
|
|
\PY{k}{return} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{2\PYZhy{}10}\PY{l+s+s2}{\PYZdq{}}
|
|
\PY{k}{elif} \PY{n}{col} \PY{o}{\PYZlt{}}\PY{o}{=} \PY{l+m+mi}{50}\PY{p}{:}
|
|
\PY{k}{return} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{11\PYZhy{}50}\PY{l+s+s2}{\PYZdq{}}
|
|
\PY{k}{elif} \PY{n}{col} \PY{o}{\PYZlt{}}\PY{o}{=} \PY{l+m+mi}{100}\PY{p}{:}
|
|
\PY{k}{return} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{51\PYZhy{}100}\PY{l+s+s2}{\PYZdq{}}
|
|
\PY{k}{else}\PY{p}{:}
|
|
\PY{k}{return} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{101+}\PY{l+s+s2}{\PYZdq{}}
|
|
|
|
\PY{k}{def} \PY{n+nf}{to\PYZus{}9c\PYZus{}bin}\PY{p}{(}\PY{n}{col}\PY{p}{)}\PY{p}{:}
|
|
\PY{c+c1}{\PYZsh{} 1 [2,10] [11,50] [51,100] 101+}
|
|
\PY{k}{if} \PY{n}{col} \PY{o}{\PYZlt{}}\PY{o}{=} \PY{l+m+mi}{0}\PY{p}{:}
|
|
\PY{k}{return} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Unknown}\PY{l+s+s2}{\PYZdq{}}
|
|
\PY{k}{elif} \PY{n}{col} \PY{o}{\PYZlt{}} \PY{l+m+mf}{0.5}\PY{p}{:}
|
|
\PY{k}{return} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{(0,0.5)}\PY{l+s+s2}{\PYZdq{}}
|
|
\PY{k}{elif} \PY{n}{col} \PY{o}{\PYZlt{}} \PY{l+m+mf}{0.9}\PY{p}{:}
|
|
\PY{k}{return} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{[0.5,0.9)}\PY{l+s+s2}{\PYZdq{}}
|
|
\PY{k}{elif} \PY{n}{col} \PY{o}{\PYZlt{}} \PY{l+m+mf}{1.1}\PY{p}{:}
|
|
\PY{k}{return} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{[0.9,1.1)}\PY{l+s+s2}{\PYZdq{}}
|
|
\PY{k}{elif} \PY{n}{col} \PY{o}{\PYZlt{}} \PY{l+m+mf}{1.5}\PY{p}{:}
|
|
\PY{k}{return} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{[1.1,1.5)}\PY{l+s+s2}{\PYZdq{}}
|
|
\PY{k}{else}\PY{p}{:}
|
|
\PY{k}{return} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{\PYZgt{}=1.5}\PY{l+s+s2}{\PYZdq{}}
|
|
|
|
\PY{k}{for} \PY{n}{cluster} \PY{o+ow}{in} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{abcdefgh}\PY{l+s+s2}{\PYZdq{}}\PY{p}{:}
|
|
\PY{n}{dfa} \PY{o}{=} \PY{n}{pd}\PY{o}{.}\PY{n}{read\PYZus{}csv}\PY{p}{(}\PY{n}{DIR} \PY{o}{+} \PY{n}{cluster} \PY{o}{+} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{\PYZus{}term\PYZus{}task\PYZus{}count.csv}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)} \PYZbs{}
|
|
\PY{o}{.}\PY{n}{sort\PYZus{}values}\PY{p}{(}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{term}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{task\PYZus{}count}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{)}
|
|
\PY{n}{dfa}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{task\PYZus{}count}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]} \PY{o}{=} \PY{n}{dfa}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{task\PYZus{}count}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{o}{.}\PY{n}{apply}\PY{p}{(}\PY{n}{to\PYZus{}9a\PYZus{}bin}\PY{p}{)}
|
|
\PY{n}{dfa} \PY{o}{=} \PY{n}{dfa}\PY{o}{.}\PY{n}{groupby}\PY{p}{(}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{term}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{task\PYZus{}count}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{)}\PY{o}{.}\PY{n}{sum}\PY{p}{(}\PY{p}{)}\PY{o}{.}\PY{n}{reset\PYZus{}index}\PY{p}{(}\PY{p}{)}
|
|
|
|
\PY{n}{categorical\PYZus{}plot}\PY{p}{(}\PY{n}{dfa}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{task\PYZus{}count}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{\PYZsh{} of tasks w.r.t. job rate (cluster }\PY{l+s+s2}{\PYZdq{}} \PY{o}{+}
|
|
\PY{n}{cluster} \PY{o}{+} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{)}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{p}{[}\PY{n}{to\PYZus{}9a\PYZus{}bin}\PY{p}{(}\PY{n}{x}\PY{p}{)} \PY{k}{for} \PY{n}{x} \PY{o+ow}{in} \PY{p}{[}\PY{o}{\PYZhy{}}\PY{l+m+mi}{1}\PY{p}{,}\PY{l+m+mi}{1}\PY{p}{,}\PY{l+m+mi}{10}\PY{p}{,}\PY{l+m+mi}{50}\PY{p}{,}\PY{l+m+mi}{100}\PY{p}{,}\PY{l+m+mi}{101}\PY{p}{]}\PY{p}{]}\PY{p}{)}
|
|
|
|
\PY{c+c1}{\PYZsh{} column should be called machine\PYZus{}count here, typo in analysis scripts}
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\PY{n}{dfb} \PY{o}{=} \PY{n}{pd}\PY{o}{.}\PY{n}{read\PYZus{}csv}\PY{p}{(}\PY{n}{DIR} \PY{o}{+} \PY{n}{cluster} \PY{o}{+} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{\PYZus{}priority\PYZus{}exectime/part\PYZhy{}00000}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{n}{header}\PY{o}{=}\PY{k+kc}{None}\PY{p}{,}
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\PY{n}{names}\PY{o}{=}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{term}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{priority}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{interval}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{count}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{)}\PY{o}{.}\PY{n}{sort\PYZus{}values}\PY{p}{(}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{term}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{interval}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{)}
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\PY{k}{del} \PY{n}{dfb}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{priority}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}
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\PY{n}{dfb} \PY{o}{=} \PY{n}{dfb}\PY{o}{.}\PY{n}{groupby}\PY{p}{(}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{term}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{interval}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{)}\PY{o}{.}\PY{n}{sum}\PY{p}{(}\PY{p}{)}\PY{o}{.}\PY{n}{reset\PYZus{}index}\PY{p}{(}\PY{p}{)}
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\PY{n}{xs} \PY{o}{=} \PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{\PYZlt{}1}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{1\PYZhy{}2}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{2\PYZhy{}4}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{4\PYZhy{}10}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{10\PYZhy{}60}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{60\PYZhy{}1d}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{\PYZgt{}=1d}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}
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\PY{n}{categorical\PYZus{}plot}\PY{p}{(}\PY{n}{dfb}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{interval}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Job execution time (in mins) w.r.t. job rate (cluster }\PY{l+s+s2}{\PYZdq{}} \PY{o}{+}
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\PY{n}{cluster} \PY{o}{+} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{)}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{n}{xs}\PY{p}{)}
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\PY{n}{dfc} \PY{o}{=} \PY{n}{pd}\PY{o}{.}\PY{n}{read\PYZus{}csv}\PY{p}{(}\PY{n}{DIR} \PY{o}{+} \PY{n}{cluster} \PY{o}{+} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{\PYZus{}term\PYZus{}machine\PYZus{}locality.csv}\PY{l+s+s2}{\PYZdq{}}\PY{p}{)} \PYZbs{}
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\PY{o}{.}\PY{n}{sort\PYZus{}values}\PY{p}{(}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{term}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{machine\PYZus{}locality}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{)}
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\PY{n}{dfc}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{machine\PYZus{}locality}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]} \PY{o}{=} \PY{n}{dfc}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{machine\PYZus{}locality}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{o}{.}\PY{n}{apply}\PY{p}{(}\PY{n}{to\PYZus{}9c\PYZus{}bin}\PY{p}{)}
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\PY{n}{dfc} \PY{o}{=} \PY{n}{dfc}\PY{o}{.}\PY{n}{groupby}\PY{p}{(}\PY{p}{[}\PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{term}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{machine\PYZus{}locality}\PY{l+s+s2}{\PYZdq{}}\PY{p}{]}\PY{p}{)}\PY{o}{.}\PY{n}{sum}\PY{p}{(}\PY{p}{)}\PY{o}{.}\PY{n}{reset\PYZus{}index}\PY{p}{(}\PY{p}{)}
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\PY{n}{categorical\PYZus{}plot}\PY{p}{(}\PY{n}{dfc}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{machine\PYZus{}locality}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{Machine locality w.r.t. job rate (cluster }\PY{l+s+s2}{\PYZdq{}} \PY{o}{+}
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\PY{n}{cluster} \PY{o}{+} \PY{l+s+s2}{\PYZdq{}}\PY{l+s+s2}{)}\PY{l+s+s2}{\PYZdq{}}\PY{p}{,} \PY{p}{[}\PY{n}{to\PYZus{}9c\PYZus{}bin}\PY{p}{(}\PY{n}{x}\PY{p}{)} \PY{k}{for} \PY{n}{x} \PY{o+ow}{in} \PY{p}{[}\PY{o}{\PYZhy{}}\PY{l+m+mi}{1}\PY{p}{,}\PY{l+m+mf}{0.49}\PY{p}{,}\PY{l+m+mf}{0.99}\PY{p}{,}\PY{l+m+mf}{1.09}\PY{p}{,}\PY{l+m+mf}{1.49}\PY{p}{,}\PY{l+m+mf}{1.5}\PY{p}{]}\PY{p}{]}\PY{p}{)}
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\end{Verbatim}
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\end{tcolorbox}
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\begin{center}
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\adjustimage{max size={0.9\linewidth}{0.9\paperheight}}{output_3_0.png}
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{ \hspace*{\fill} \\}
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\adjustimage{max size={0.9\linewidth}{0.9\paperheight}}{output_3_1.png}
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{ \hspace*{\fill} \\}
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\adjustimage{max size={0.9\linewidth}{0.9\paperheight}}{output_3_2.png}
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{ \hspace*{\fill} \\}
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\adjustimage{max size={0.9\linewidth}{0.9\paperheight}}{output_3_3.png}
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{ \hspace*{\fill} \\}
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\adjustimage{max size={0.9\linewidth}{0.9\paperheight}}{output_3_4.png}
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\begin{tcolorbox}[breakable, size=fbox, boxrule=1pt, pad at break*=1mm,colback=cellbackground, colframe=cellborder]
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\prompt{In}{incolor}{ }{\boxspacing}
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\begin{tcolorbox}[breakable, size=fbox, boxrule=1pt, pad at break*=1mm,colback=cellbackground, colframe=cellborder]
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\prompt{In}{incolor}{ }{\boxspacing}
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% Add a bibliography block to the postdoc
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\end{document}
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