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+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Lachaise Assignment
+% LaTeX Template
+% Version 1.0 (26/6/2018)
+%
+% This template originates from:
+% http://www.LaTeXTemplates.com
+%
+% Authors:
+% Marion Lachaise & François Févotte
+% Vel (vel@LaTeXTemplates.com)
+%
+% License:
+% CC BY-NC-SA 3.0 (http://creativecommons.org/licenses/by-nc-sa/3.0/)
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\documentclass{article}
+\input{structure.tex}
+
+\title{CENG567: Homework \#2}
+\author{Yiğit Sever}
+\date{\today}
+
+%----------------------------------------------------------------------------------------
+
+\begin{document}
+
+\maketitle
+
+\section{Checking Consistency of Judgements}%
+\label{sec:checking_consistency_of_judgements}
+
+
+\section{Reachability}%
+\label{sec:reachability}
+
+\end{document}
diff --git a/structure.tex b/structure.tex
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+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Lachaise Assignment
+% Structure Specification File
+% Version 1.0 (26/6/2018)
+%
+% This template originates from:
+% http://www.LaTeXTemplates.com
+%
+% Authors:
+% Marion Lachaise & François Févotte
+% Vel (vel@LaTeXTemplates.com)
+%
+% License:
+% CC BY-NC-SA 3.0 (http://creativecommons.org/licenses/by-nc-sa/3.0/)
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%----------------------------------------------------------------------------------------
+%       PACKAGES AND OTHER DOCUMENT CONFIGURATIONS
+%----------------------------------------------------------------------------------------
+
+\usepackage[utf8]{inputenc} % Required for inputting international characters
+\usepackage[T1]{fontenc} % Output font encoding for international characters
+\usepackage{csquotes}
+\usepackage{amsmath,amsfonts} % Math packages
+\usepackage{url}
+\usepackage{hyperref}
+\usepackage{enumerate} % Custom item numbers for enumerations
+\usepackage[ruled]{algorithm2e} % Algorithms
+\usepackage[makeroom]{cancel}
+% \usepackage{algorithm}
+% \usepackage[noend]{algpseudocode}
+\usepackage[framemethod=tikz]{mdframed} % Allows defining custom boxed/framed environments
+\usepackage{listings} % File listings, with syntax highlighting
+\usepackage[super]{nth}
+\usepackage{caption}
+\usepackage{tikz}
+
+\lstset{
+        basicstyle=\ttfamily, % Typeset listings in monospace font
+}
+
+%----------------------------------------------------------------------------------------
+%       DOCUMENT MARGINS
+%----------------------------------------------------------------------------------------
+
+\usepackage{geometry} % Required for adjusting page dimensions and margins
+
+\geometry{
+        paper=a4paper, % Paper size, change to letterpaper for US letter size
+        top=2.5cm, % Top margin
+        bottom=3cm, % Bottom margin
+        left=2.5cm, % Left margin
+        right=2.5cm, % Right margin
+        headheight=14pt, % Header height
+        footskip=1.5cm, % Space from the bottom margin to the baseline of the footer
+        headsep=1.2cm, % Space from the top margin to the baseline of the header
+        % showframe, % Uncomment to show how the type block is set on the page
+}
+
+%----------------------------------------------------------------------------------------
+%       COMMAND LINE ENVIRONMENT
+%----------------------------------------------------------------------------------------
+
+% Usage:
+% \begin{commandline}
+%       \begin{verbatim}
+%               $ ls
+%
+%               Applications    Desktop ...
+%       \end{verbatim}
+% \end{commandline}
+
+\mdfdefinestyle{commandline}{
+        leftmargin=10pt,
+        rightmargin=10pt,
+        innerleftmargin=15pt,
+        middlelinecolor=black!50!white,
+        middlelinewidth=2pt,
+        frametitlerule=false,
+        backgroundcolor=black!5!white,
+        frametitle={\ttfamily\cmdname},
+        frametitlefont={\normalfont\sffamily\color{white}\hspace{-1em}},
+        frametitlebackgroundcolor=black!50!white,
+        nobreak,
+}
+
+% Define a custom environment for command-line snapshots
+\newenvironment{commandline}[1][Cmd]{
+        \medskip
+        \newcommand{\cmdname}{#1}
+        \begin{mdframed}[style=commandline]
+}{
+        \end{mdframed}
+        \medskip
+}
+
+%----------------------------------------------------------------------------------------
+%       FILE CONTENTS ENVIRONMENT
+%----------------------------------------------------------------------------------------
+
+% Usage:
+% \begin{file}[optional filename, defaults to "File"]
+%       File contents, for example, with a listings environment
+% \end{file}
+
+\mdfdefinestyle{file}{
+        innertopmargin=1.6\baselineskip,
+        innerbottommargin=0.8\baselineskip,
+        topline=false, bottomline=false,
+        leftline=false, rightline=false,
+        leftmargin=2cm,
+        rightmargin=2cm,
+        singleextra={%
+                \draw[fill=black!10!white](P)++(0,-1.2em)rectangle(P-|O);
+                \node[anchor=north west]
+                at(P-|O){\ttfamily\mdfilename};
+                %
+                \def\l{3em}
+                \draw(O-|P)++(-\l,0)--++(\l,\l)--(P)--(P-|O)--(O)--cycle;
+                \draw(O-|P)++(-\l,0)--++(0,\l)--++(\l,0);
+        },
+        nobreak,
+}
+
+% Define a custom environment for file contents
+\newenvironment{file}[1][File]{ % Set the default filename to "File"
+        \medskip
+        \newcommand{\mdfilename}{#1}
+        \begin{mdframed}[style=file]
+}{
+        \end{mdframed}
+        \medskip
+}
+
+%----------------------------------------------------------------------------------------
+%       NUMBERED QUESTIONS ENVIRONMENT
+%----------------------------------------------------------------------------------------
+
+% Usage:
+% \begin{question}[optional title]
+%       Question contents
+% \end{question}
+
+\mdfdefinestyle{question}{
+        innertopmargin=1.2\baselineskip,
+        innerbottommargin=0.8\baselineskip,
+        roundcorner=5pt,
+        nobreak,
+        singleextra={%
+                \draw(P-|O)node[xshift=1em,anchor=west,fill=white,draw,rounded corners=5pt]{%
+                Question (\alph{Question})\questionTitle};
+        },
+}
+
+\newcounter{Question}[section] % Stores the current question number that gets iterated with each new question TODO reset after each section
+
+% Define a custom environment for numbered questions
+\newenvironment{question}[1][\unskip]{
+        \bigskip
+        \stepcounter{Question}
+        \newcommand{\questionTitle}{~#1}
+        \begin{mdframed}[style=question]
+}{
+        \end{mdframed}
+        \medskip
+}
+
+%----------------------------------------------------------------------------------------
+%       WARNING TEXT ENVIRONMENT
+%----------------------------------------------------------------------------------------
+
+% Usage:
+% \begin{warn}[optional title, defaults to "Warning:"]
+%       Contents
+% \end{warn}
+
+\mdfdefinestyle{warning}{
+        topline=false, bottomline=false,
+        leftline=false, rightline=false,
+        nobreak,
+        singleextra={%
+                \draw(P-|O)++(-0.5em,0)node(tmp1){};
+                \draw(P-|O)++(0.5em,0)node(tmp2){};
+                \fill[black,rotate around={45:(P-|O)}](tmp1)rectangle(tmp2);
+                \node at(P-|O){\color{white}\scriptsize\bf !};
+                \draw[very thick](P-|O)++(0,-1em)--(O);%--(O-|P);
+        }
+}
+
+% Define a custom environment for warning text
+\newenvironment{warn}[1][Warning:]{ % Set the default warning to "Warning:"
+        \medskip
+        \begin{mdframed}[style=warning]
+                \noindent{\textbf{#1}}
+}{
+        \end{mdframed}
+}
+
+%----------------------------------------------------------------------------------------
+%       INFORMATION ENVIRONMENT
+%----------------------------------------------------------------------------------------
+
+% Usage:
+% \begin{info}[optional title, defaults to "Info:"]
+%       contents
+%       \end{info}
+
+\mdfdefinestyle{info}{%
+        topline=false, bottomline=false,
+        leftline=false, rightline=false,
+        nobreak,
+        singleextra={%
+                \fill[black](P-|O)circle[radius=0.6em];
+                \node at(P-|O){\color{white}\scriptsize\bf Q};
+                \draw[very thick](P-|O)++(0,-0.8em)--(O);%--(O-|P);
+        }
+}
+
+% Define a custom environment for information
+\newenvironment{info}[1][Info:]{ % Set the default title to "Info:"
+        \medskip
+        \begin{mdframed}[style=info]
+                \noindent{\textbf{#1}}
+}{
+        \end{mdframed}
+}
+
+%----------------------------------------------------------------------------------------
+%       NOT FUCKED UP INFORMATION ENVIRONMENT
+%----------------------------------------------------------------------------------------
+
+
+% Usage:
+% \begin{info}[optional title, defaults to "Info:"]
+%       contents
+%       \end{info}
+
+\mdfdefinestyle{infor}{%
+        topline=false, bottomline=false,
+        leftline=false, rightline=false,
+        nobreak,
+        singleextra={%
+                \fill[black](P-|O)circle[radius=0.4em];
+                \node at(P-|O){\color{white}\scriptsize\bf i};
+                \draw[very thick](P-|O)++(0,-0.8em)--(O);%--(O-|P);
+        }
+}
+
+% Define a custom environment for information
+\newenvironment{infor}[1][Disclaimer:]{ %
+        \medskip
+        \begin{mdframed}[style=infor]
+                \noindent{\textbf{#1}}
+}{
+        \end{mdframed}
+}