preamble.sty

\ProvidesPackage{preamble}
 
% This preamble is an amalgamation of my (.19's) preamble. As a result it is rather messy due to me copying and pasting extracts. 

\def\SStitle{Questions \& Solutions}
\def\SSauthor{sjbs}
\def\SSauthorr{Brainy}
\def\SSauthorrr{Yuchan}
\def\SSauthorrrr{Matteddy}
\def\SSauthorrrrr{ChristopherPi}
\def\SSauthorrrrrr{AiYa}
\def\SSauthorrrrrrr{NJOY}
\def\SSauthorrrrrrrr{Tanoshii}
% Packages
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\usepackage[pdfauthor = {\SSauthor},
	pdftitle = {\SStitle},
	colorlinks = true
  ]{hyperref}
\usepackage{amssymb,mathtools,amsthm,thmtools} 
\usepackage[usenames,svgnames,dvipsnames,table,xcdraw]{xcolor} 
\usepackage{tikz,pgf,pgfplots, asymptote}
\usepackage[shortlabels]{enumitem}
\usepackage[framemethod = tikz]{mdframed} 
\usepackage{mathrsfs}
\usepackage{caption}
\usepackage{multicol}
\usepackage{xpatch}
\usepackage[normalem]{ulem}
\usepackage{booktabs}
\usepackage{tocbasic}  
\usepackage[
	activate={true,nocompatibility},
	final,
	tracking= true,
	kerning = true,
	spacing = true,
	factor = 1100,
	stretch = 10,
	shrink = 10
	]{microtype} 
\usepackage[UKenglish]{datetime}
\usepackage[headsepline]{scrlayer-scrpage}
\usepackage[toc,page]{appendix}
\usepackage{bookmark}
\usepackage[utf8]{inputenc}
\usepackage{rotating}
\usetikzlibrary{automata, positioning, arrows}
\usepackage[nameinlink]{cleveref} 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% Defining style environments (e.g. question, solution etc.)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% Defining \SSpsetQ
\mdfdefinestyle{SSqbox}
{ 
  linewidth = 0.5pt,
  skipabove = 12pt,
  frametitleaboveskip = 5pt,
  frametitlebelowskip = 0pt,
  skipbelow = 2pt,
  frametitlefont = \bfseries,
  innertopmargin = 8pt,
  innerbottommargin = 8pt,
  nobreak = true,
  backgroundcolor = RedViolet!7!gray!7,
  linecolor = Black
}

\newenvironment{SSpsetQbox}
{
    \enumerate
    [
        align = left,
        leftmargin = 5pt,
        label = \bfseries\sffamily{Question} \thesection.\arabic*,
        before = \setcounter{enumi}{\value{theorem}},
        after = \setcounter{theorem}{\value{enumi}}
    ]
}{\endenumerate}

% Defines colours for sections, subsections, etc. as well as links / hyperlinks
\renewcommand*{\sectionformat}{\color{RubineRed}\S\thesection\enskip}
\renewcommand*{\subsectionformat}{\color{RubineRed}\S\thesubsection\enskip}
\renewcommand*{\subsubsectionformat}{\color{RubineRed}\S\thesubsubsection\enskip}	
    
\hypersetup{
    urlcolor = RubineRed,
    linkcolor = RubineRed
  }			
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


% Setting custom commands and environments
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\SSpsetQ}[1]
{
  \begin{mdframed}
    [
      style = SSqbox,
      innertopmargin = 10pt,
      innerbottommargin = 10pt
    ]
      \begin{SSpsetQbox}#1\end{SSpsetQbox}
  \end{mdframed}
}

% Line break - used to contain problem information 
\newcommand{\SSbreak}{\noindent\rule[0.5ex]{\linewidth}{1pt}}

\newenvironment{solution}{\begin{proof}[Solution]}{\end{proof}}	

% Allows for the proof environment to be used inside the solutions environment without conflicts
\newenvironment{subproof}[1][Proof]{
	\begin{proof}[#1]\renewcommand{\qedsymbol}{$\blacksquare$}}%
	{\end{proof}}

% Quality-of-life commands 
\newcommand{\N}{\mathbb{N}}
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\Q}{\mathbb{Q}}
\newcommand{\R}{\mathbb{R}}
\newcommand{\C}{\mathbb{C}}
\newcommand{\abs}[1]{\left\lvert #1\right\rvert}
\newcommand{\SSmax}[1]{\text{max}\{#1\}}
\newcommand{\SSmin}[1]{\text{min}\{#1\}}
\newcommand{\SSbf}{\textbf}
\newcommand{\SSet}[1]{\{{#1}\}}
\newcommand{\floor}[1]{\left\lfloor #1\right\rfloor}

% Better looking epsilon, emptyset and Phi
\renewcommand{\epsilon}{\ensuremath{\varepsilon}}
\renewcommand{\emptyset}{\ensuremath{\varnothing}}
\renewcommand{\phi}{\ensuremath{\varphi}}

\pgfplotsset{compat=1.16}
\usetikzlibrary{arrows}

\newcounter{theorem}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


% Here we define the page layout. Do not touch.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\author{\SSauthor}
\title{\SStitle}
\subtitle{\SSsubtitle}
\publishers{\SSpublishers}
\setlength{\voffset}{-0.25in}
\setlength{\footskip}{0.5in}
\addtolength{\textheight}{2in}
\setlength{\headsep}{10pt}
\renewcommand{\headfont}{}
\ohead{\footnotesize\bfseries\sffamily{\SStitle}}
\cfoot{\thepage}
\KOMAoptions{numbers = noenddot}
\addtokomafont{subtitle}{\Large}
\setkomafont{author}{\Large}
\setkomafont{date}{\Large\normalsize}
\setkomafont{publishers}{\small}
\addtolength{\textwidth}{1.25in}
\setlength{\hoffset}{-0.625in}
\makeatother

\newcommand{\SSbegintoc}{\tableofcontents}

\def\SSfp{ 
  \pagenumbering{roman}
  \begin{titlepage}
  \thispagestyle{empty} 
    \begin{center}
      {\Huge\bfseries\sffamily\SStitle\par}
    \end{center}
  \vspace{2cm}
  \begin{figure}[h!]
    \centering
    \includegraphics{Sections/Files/Windmill}
  \end{figure}
  \vspace*{\fill} 
  \begin{minipage}{0.55\textwidth}
      \hfill\break
      \hfill\break
      \textit{By \SSauthor, \SSauthorr, \SSauthorrr\\ \SSauthorrrr, \SSauthorrrrr, \SSauthorrrrrr\\ \SSauthorrrrrrr \& \SSauthorrrrrrrr}\\
      \href{https://OpenPOTD.github.io}{Website} \& \href{https://discord.com/invite/GsPSSHdhPB/}{Discord}
  \end{minipage}
    \hfil
  \begin{minipage}[t]{0.45\textwidth}
    \begin{flushleft}
      \textit{Last updated: \today}\\
      \href{https://github.com/OpenPOTD/Solutions}{Github/OpenPOTD/Solutions}
    \end{flushleft}
  \end{minipage}
  \newpage
  \setcounter{page}{1}
  \microtypesetup{protrusion = false} 
    \SSbegintoc
  \microtypesetup{protrusion = true} 
  \end{titlepage}
}
\makeatletter
\newcommand\footnoteref[1]{\protected@xdef\@thefnmark{\ref{#1}}\@footnotemark}
\makeatother 

\setlength{\parindent}{0pt}
\setcounter{section}{0}
\setcounter{tocdepth}{3}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


% Settings for question 2.2.3
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\definecolor{pagegray}{RGB}{39, 39, 39}
\definecolor{qlorange}{RGB}{247,150,70}
\definecolor{qlblue}{RGB}{75,172,198}
\definecolor{qpurple}{RGB}{128,100,162}
\definecolor{qblue}{RGB}{79,129,189}
\definecolor{qgreen}{RGB}{155,187,89}
\definecolor{qred}{RGB}{192,80,77}
\definecolor{qorange}{RGB}{255,192,0}
\definecolor{qyellow}{RGB}{255,255,0}

\newcommand{\persistk}[1]{\textcolor{qlorange}{p}(\textcolor{qpurple}{#1})}
\newcommand{\persistsetk}[1]{\textcolor{qlorange}{P}_{\textcolor{qlblue}{#1}}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% Commands to make referencing sources easier 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\Cop{Original Problem}
\def\Cfolk{Folklore}
\def\Csmc{Senior Mathematical Challenge}
\def\Casmc{Australian Senior Mathematical Challenge}
\def\Csmo{Singapore Mathematical Olympiad}
\def\Cnzsmc{New Zealand Senior Mathematics Competition}
\def\Cbmoo{British Matematical Olympiad, Round 1}
\def\Cbmot{British Matematical Olympiad, Round 2}
\def\Cimom{Intermediate Mathematical Olympiad: Maclaurin}
\def\Ccwmo{China Western Mathematical Olympiad}
\def\Ccmo{China Mathematical Olympiad}
\def\Cctst{China Team Selection Test}
\def\Cmat{Mathematics Apptitude Test}
\def\Cstepi{Sixth Term Examination Paper I}
\def\Cstepii{Sixth Term Examination Paper II}
\def\Cstepiii{Sixth Term Examination Paper III}
\def\Chmmt{Harvard-MIT Mathematics Tournament}
\def\Como{Online Math Open}
\def\Cimosl{International Mathematical Olympiad Shortlist}
\def\Cimo{International Mathematical Olympiad}
\def\Cprmo{Pre-Regional Mathematical Olympiad (India)}
\def\Cazer{Azerbaijan National Olympiad}
\def\Cmac{IMOK Maclaurin}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


% Commands to make referencing contributors easier 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\def\Ptony{Tony Wang\#1729 (541318134699786272)}
\def\Pbrain{brainysmurfs\#2860 (281300961312374785)}
\def\Pss{sjbs\#9839 (434767660182405131)}
\def\Ppi{Charge\#3766(481250375786037258)}
\def\Pbfan{bfan05\#5219 (692851547062665317)}
\def\Paiya{AiYa\#2278 (675537018868072458)}
\def\Plook{Look At Me\#8623 (234848703368658944)}
\def\Pkee{Keegan\#9109 (116217065978724357)}
\def\Pchris{ChristopherPi\#8528 (696497464621924394)}
\def\Pkiesh{Kiesh\#0917 (544960202101751838)}
\def\Pchan{Angry Any\#4319 (580933385090891797)} 
\def\PSlas{Slaschu\#5267 (296304659059179520)}
\def\Parjun{Bahnhofstrasse\#8974 (723413754800373780)}
\def\Pnjoy{TaesPadhihary\#8557 (665057968194060291)}
\def\Paops{aops\#0436 (712027036511633429)}
\def\Phobo{HoboSas\#3200 (310725130097786880)}
\def\Plance{Lance\#8018 (220196846922891264)}
\def\Ptan{tanoshii\#3160 (300065144333926400)}
\def\Pghost{GhostRaider\#5854 (779950703929982996)}
\def\Pmatt{Matteddy\#0482 (329956567132930048)}
\def\Pradical{Radial Function\#6976 (785583756957450280)}
\def\Prishi{RishiNandha Vanchi\#3379 (562608039224410112)}
\def\Ptroll{epicxtroll\#6007 (300008472978653184)}
\def\Pflame{flame\#6784 (185229437787176962)}
\def\Pwen{iparis\#5018 (269634843468496906)}
\def\Pmano{Boldizsár\#3106 (694967174921715853)}
\def\Pdenial{Denial\#4301 (118831126239248397)}
\def\Pmonke{Hopeless\#9949 (399043449443057704)}
\def\Palch{alchemyst\_ttk\#7268 (531054379852365824)}
\def\Pequals{==\#5400 (658718130326994954)}
\def\Phyper{Circumrectangular Hyperbola\#8766 (446065841172250638)}
\def\Palp{Alp Eren\#5330 (691708663462887464)}
\def\Prandom{RandomGuy\#8751 (821212688633823235)}
\def\Pcooked{cooked\#8292 (573431880091828224)}
\def\Pwolf{KingOfDireWolves\#3166 (272326226314526721)}
\def\Ploic{loic7717\#9373 (263806649976750102)}
\def\Paleph{AlephNull\#1690 (755452212905377793)}
\def\Psolver{Problemsolver4ever\#0489 (778215532096651284)}
\def\Pada{Ada Virus\#6266 (439054981966856202)}
\def\Pqs{QuantumSigma\#5000 (374937087301910528)}
\def\Plot{nexal\#3868 (381673088216989742)}
\def\Ptaiga{watanuki-taiga-2\#1569 (769480637245554688)}
\def\Pahkml{A Hong Kong Math Lover\#7962 (823884866671476736)}
\def\Pcryo{Cryolite.\#3854 (413599141537513473)}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\def\SSaops{Art of Problem Solving write-ups}

\DeclareMathOperator{\ord}{ord}
\DeclareMathOperator{\lcm}{lcm}
\DeclareMathOperator{\cis}{cis}

% Commands to make stating common rules easier 
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\newcommand{\calculator}{\begin{center}\textit{(A scientific calculator may be used.)}\end{center}}
\newcommand{\Beginner}{\emph{Difficulty: Beginner}\\}
\newcommand{\Easy}{\emph{Difficulty: Easy}\\}
\newcommand{\Medium}{\emph{Difficulty: Medium}\\}
\newcommand{\Hard}{\emph{Difficulty: Hard}\\}
\newcommand{\Challenging}{\emph{Difficulty: Challenging}\\}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%