primeri.sty

\ProvidesPackage{primeri}
\usepackage{amsmath,amssymb,amsthm}
\usepackage[dvipsnames]{xcolor}
\usepackage{graphicx, pifont}

\usepackage[usestackEOL]{stackengine}
\usepackage{scalerel}

\usepackage{lmodern}
\usepackage[T1]{fontenc}
\usepackage{shapepar}
\usepackage{microtype}
\usepackage{lipsum}
\usepackage{tikz}
\usepackage{natbib}
\usepackage{graphicx}
\usepackage{fontawesome}
\RequirePackage[skaknew]{skak}

\DeclareRobustCommand{\alegreyafont}{\fontfamily{Alegreya-LF}\selectfont} % defines alegreya
\DeclareRobustCommand{\notofont}{\fontfamily{NotoSans-TLF}\selectfont}
\DeclareRobustCommand{\merri}{\fontfamily{MerriweatherSans-OsF}\selectfont}


%%fakesection Argument processing
% Default Arguments
% We include "primeri" in all of these to make sure
% that they don't collide with anything in external packages
\let\oldding\ding% Store old \ding in \oldding
\renewcommand{\ding}[2][1]{\scalebox{#1}{\oldding{#2}}}

\definecolor{Ylow}{RGB}{248,230,4}

\newcommand\dangersign[1][2ex]{%
  \renewcommand\stacktype{L}%
  \scaleto{\stackon[1.5pt]{\color{red}$\triangle$}{\tiny\bfseries \color{black}{!}}}{#1}%
}

\def\maincolor{BlueViolet} % one color only, no halves and stuff
\newcommand{\changemaincolor}[1]{
    \def\maincolor{#1}
}
\newcommand{\changemaincolorhtml}[1]{
    \definecolor{tempcolor}{HTML}{#1}
    \changemaincolor{tempcolor}
    \changesecondcolor{tempcolor}
}

\def\secondcolor{BlueViolet} % one color only, no halves and stuff
\newcommand{\changesecondcolor}[1]{
    \def\secondcolor{#1}
}
\newcommand{\changesecondcolorhtml}[1]{
    \definecolor{tempcolor2}{HTML}{#1}
    \changesecondcolor{tempcolor2}
}

\changemaincolorhtml{E14B96}
\changesecondcolorhtml{87CEEB}

\newif\ifprimerifancy\primerifancytrue
\newif\ifprimerihdr\primerihdrtrue
\newif\ifprimerihref\primerihreftrue
\newif\ifprimerisetup\primerisetuptrue
\newif\ifprimerithm\primerithmtrue
\newif\ifprimerisecthm\primerisecthmfalse
\newif\ifprimeriht\primerihtfalse
\newif\ifprimeripkg\primeripkgtrue
\newif\ifprimeripdf\primeripdftrue
\newif\ifprimeriauthor\primeriauthortrue
\newif\ifprimerichinese\primerichinesefalse
\newif\ifprimerimdthm\primerimdthmfalse
\newif\ifprimeridiagrams\primeridiagramsfalse
\newif\ifprimeripatchasy\primeripatchasyfalse
\newif\ifprimerihints\primerihintsfalse
\newif\ifprimeriasy\primeriasytrue
\newif\ifprimericolorsec\primericolorsecfalse
\newif\ifprimerititlemark\primerititlemarktrue
\newif\ifprimerinopts\primerinoptsfalse

%Receive Arguments
\DeclareOption{chinese}{\primerihreffalse\primerichinesetrue} % Chinese support
% allow href to override this one

\DeclareOption{sleek}{\primerisecthmtrue\primerimdthmtrue\primericolorsectrue} % long docs
\DeclareOption{nopts}{\primerinoptstrue}

\DeclareOption{fancy}{\primerifancytrue}
\DeclareOption{nofancy}{\primerifancyfalse}
\DeclareOption{hdr}{\primerihdrtrue}
\DeclareOption{nohdr}{\primerihdrfalse}
\DeclareOption{href}{\primerihreftrue}
\DeclareOption{nohref}{\primerihreffalse}

\DeclareOption{nosetup}{\primerisetupfalse}
\DeclareOption{thm}{\primerithmtrue}
\DeclareOption{nothm}{\primerithmfalse}
\DeclareOption{secthm}{\primerisecthmtrue}
\DeclareOption{nosecthm}{\primerisecthmfalse}

\DeclareOption{ht}{\primerihttrue}
\DeclareOption{nopdf}{\primeripdffalse}
\DeclareOption{nopkg}{\primeripkgfalse}
\DeclareOption{noauthor}{\primeriauthorfalse}
\DeclareOption{titlemark}{\primerititlemarktrue} % Sets title in ohead, not \rightmark
\DeclareOption{sectionmark}{\primerititlemarkfalse} % Uses \rightmark not title in ohead

\DeclareOption{mdthm}{\primerimdthmtrue}
\DeclareOption{nomdthm}{\primerimdthmfalse}
\DeclareOption{diagrams}{\primeridiagramstrue}
\DeclareOption{nodiagrams}{\primeridiagramsfalse}
\DeclareOption{colorsec}{\primericolorsectrue}
\DeclareOption{nocolorsec}{\primericolorsecfalse}

\DeclareOption{patchasy}{\primeripatchasytrue}
\DeclareOption{noasy}{\primeriasyfalse}

\DeclareOption{hints}{\primerihintstrue}

\ProcessOptions\relax

% if packages not loaded, turn off mdthm and asy
\ifprimeripkg\else\primerimdthmfalse\fi
\ifprimeripkg\else\primeriasyfalse\fi

% If no setup, turn off theorems
\ifprimerisetup\else\primerithmfalse\fi

%%fakesection Some macros
%Small commands
\newcommand{\cbrt}[1]{\sqrt[3]{#1}}
\newcommand{\floor}[1]{\left\lfloor #1 \right\rfloor}
\newcommand{\ceiling}[1]{\left\lceil #1 \right\rceil}
\newcommand{\mailto}[1]{\href{mailto:#1}{\texttt{#1}}}
\newcommand{\ol}{\overline}
\newcommand{\ul}{\underline}
\newcommand{\wt}{\widetilde}
\newcommand{\wh}{\widehat}
\newcommand{\eps}{\varepsilon}
\newcommand{\SX}{\mathcal{X}}
\newcommand{\SW}{\mathcal{W}}
%\renewcommand{\iff}{\Leftrightarrow}
%\renewcommand{\implies}{\Rightarrow}
\definecolor{green1}{RGB}{52, 252, 52}
\definecolor{green2}{RGB}{88,222,44}
\definecolor{SkyBlue2}{RGB}{70,130,180}
\definecolor{Ultra}{RGB}{18,10,143}


\newcommand{\vocab}[1]{\textsf{\textbf{\textsl{\color{primeripink!40!red} #1}}}}
\providecommand{\alert}{\vocab}
\providecommand{\half}{\frac{1}{2}}
\newcommand{\catname}{\mathsf}
\newcommand{\hrulebar}{
  \par\hspace{\fill}\rule{0.95\linewidth}{.7pt}\hspace{\fill}
  \par\nointerlineskip \vspace{\baselineskip}
}

%For use in author command
\newcommand{\plusemail}[1]{\\ \normalfont \texttt{\mailto{#1}}}

%More commands and math operators
\DeclareMathOperator{\cis}{cis}
\DeclareMathOperator*{\lcm}{lcm}
\DeclareMathOperator*{\argmin}{arg min}
\DeclareMathOperator*{\argmax}{arg max}

%Convenient Environments
\newenvironment{soln}{\begin{proof}[Solution]}{\end{proof}}
\newenvironment{parlist}{\begin{inparaenum}[(i)]}{\end{inparaenum}}
\newenvironment{gobble}{\setbox\z@\vbox\bgroup}{\egroup}

%Inequalities
\newcommand{\cycsum}{\sum_{\mathrm{cyc}}}
\newcommand{\symsum}{\sum_{\mathrm{sym}}}
\newcommand{\cycprod}{\prod_{\mathrm{cyc}}}
\newcommand{\symprod}{\prod_{\mathrm{sym}}}
\newcommand{\peq}{\preceq}
\newcommand{\seq}{\succeq}
\newcommand{\pe}{\prec}
\newcommand{\se}{\succ}
% The sets of mathbb
\newcommand{\BB}{\mathbb B}
\newcommand{\CC}{\mathbb C}
\newcommand{\DD}{\mathbb D}
\newcommand{\EE}{\mathbb E}
\renewcommand{\FF}{\mathbb F}
\newcommand{\GG}{\mathbb G}
\newcommand{\HH}{\mathbb H}
\newcommand{\II}{\mathbb I}
\newcommand{\JJ}{\mathbb J}
\newcommand{\KK}{\mathbb K}
\newcommand{\LL}{\mathbb L}
\newcommand{\MM}{\mathbb M}
\newcommand{\NN}{\mathbb N}
\newcommand{\PP}{\mathbb P}
\newcommand{\QQ}{\mathbb Q}
\newcommand{\RR}{\mathbb R}
\newcommand{\ZZ}{\mathbb Z}
\newcommand{\charin}{\text{ char }}
\DeclareMathOperator{\sign}{sign}
\DeclareMathOperator{\Aut}{Aut}
\DeclareMathOperator{\Inn}{Inn}
\DeclareMathOperator{\Syl}{Syl}
\DeclareMathOperator{\Gal}{Gal}
\DeclareMathOperator{\GL}{GL} % General linear group
\DeclareMathOperator{\SL}{SL} % Special linear group

%From Kiran Kedlaya's "Geometry Unbound"
\newcommand{\abs}[1]{\left\lvert #1 \right\rvert}
\newcommand{\norm}[1]{\left\lVert #1 \right\rVert}
\newcommand{\dang}{\measuredangle} %% Directed angle
\newcommand{\ray}[1]{\overrightarrow{#1}} 
\newcommand{\seg}[1]{\overline{#1}}
\newcommand{\arc}[1]{\wideparen{#1}}

%From M275 "Topology" at SJSU
\newcommand{\id}{\mathrm{id}}
\newcommand{\taking}[1]{\xrightarrow{#1}}
\newcommand{\inv}{^{-1}}

%From M170 "Introduction to Graph Theory" at SJSU
\DeclareMathOperator{\diam}{diam}
\DeclareMathOperator{\ord}{ord}
\newcommand{\defeq}{\overset{\mathrm{def}}{=}}

%From the USAMO .tex files
\newcommand{\ts}{\textsuperscript}
\newcommand{\dg}{^\circ}
\newcommand{\ii}{\item}

% From Math 55 and Math 145 at Harvard
\newenvironment{subproof}[1][Proof]{%
\begin{proof}[#1] \renewcommand{\qedsymbol}{$\blacksquare$}}%
{\end{proof}}

%\newcommand{\liff}{\leftrightarrow}
%\newcommand{\lthen}{\rightarrow}
%\newcommand{\opname}{\operatorname}
%\newcommand{\surjto}{\twoheadrightarrow}
%\newcommand{\injto}{\hookrightarrow}
%\newcommand{\On}{\mathrm{On}} % ordinals
\DeclareMathOperator{\img}{im} % Image
\DeclareMathOperator{\Img}{Im} % Image
\DeclareMathOperator{\coker}{coker} % Cokernel
\DeclareMathOperator{\Coker}{Coker} % Cokernel
\DeclareMathOperator{\Ker}{Ker} % Kernel
\DeclareMathOperator{\rank}{rank}
\DeclareMathOperator{\Spec}{Spec} % spectrum
\DeclareMathOperator{\Tr}{Tr} % trace
\DeclareMathOperator{\pr}{pr} % projection
\DeclareMathOperator{\ext}{ext} % extension
\DeclareMathOperator{\pred}{pred} % predecessor
\DeclareMathOperator{\dom}{dom} % domain
\DeclareMathOperator{\ran}{ran} % range
\DeclareMathOperator{\Hom}{Hom} % homomorphism
\DeclareMathOperator{\Mor}{Mor} % morphisms
\DeclareMathOperator{\End}{End} % endomorphism


\definecolor{RusPurple}{RGB}{029, 002, 053}
% Things Lie
% \newcommand{\kb}{\mathfrak b}
% \newcommand{\kg}{\mathfrak g}
% \newcommand{\kh}{\mathfrak h}
% \newcommand{\kn}{\mathfrak n}
% \newcommand{\ku}{\mathfrak u}
% \newcommand{\kz}{\mathfrak z}
% \DeclareMathOperator{\Ext}{Ext} % Ext functor
% \DeclareMathOperator{\Tor}{Tor} % Tor functor
% \newcommand{\gl}{\opname{\mathfrak{gl}}} % frak gl group
% \renewcommand{\sl}{\opname{\mathfrak{sl}}} % frak sl group chktex 6

% A few mathcal
 \newcommand{\SA}{\mathcal A}
 \newcommand{\SB}{\mathcal B}
 \newcommand{\SC}{\mathcal C}
 \newcommand{\SD}{\mathcal D}
 \newcommand{\SF}{\mathcal F}
 \newcommand{\SG}{\mathcal G}
 \newcommand{\SH}{\mathcal H}
 \newcommand{\OO}{\mathcal O}
 \newcommand{\SM}{\mathcal{M}}
% \newcommand{\SCA}{\mathscr A}
% \newcommand{\SCB}{\mathscr B}
% \newcommand{\SCC}{\mathscr C}
% \newcommand{\SCD}{\mathscr D}
% \newcommand{\SCE}{\mathscr E}
% \newcommand{\SCF}{\mathscr F}
% \newcommand{\SCG}{\mathscr G}
% \newcommand{\SCH}{\mathscr H}

% Mathfrak primes
% \newcommand{\km}{\mathfrak m}
% \newcommand{\kp}{\mathfrak p}
% \newcommand{\kq}{\mathfrak q}

%% Napkin commands
% \newcommand{\prototype}[1]{
%	\emph{{\color{red} Prototypical example for this section:} #1} \par\medskip
% }

\newcommand{\paren}[1]{\left( #1 \right)}

\usepackage{thmtools}

\RequirePackage{xcolor}

\definecolor{darkmidnightblue}{rgb}{0.0, 0.2, 0.4}
\definecolor{sangria}{rgb}{0.57, 0.0, 0.04}

% \colorlet{LightRubineRed}{RubineRed!70!}
\definecolor{oucrimsonred}{rgb}{0.6, 0.0, 0.0} % syllabus section
\definecolor{darkred}{rgb}{0.9, 0.00, 0.0}

\definecolor{dennispurple}{RGB}{45,0,90} % dark purple
\definecolor{lightpurple}{RGB}{230,230,250}

\definecolor{thmblue}{rgb}{0.88, 0.95, 0.98}
\definecolor{darkblue}{RGB}{36,57,108}

\definecolor{thmgreen}{RGB}{207,241,208}
\definecolor{darkgreen}{RGB}{30,70,30}

\definecolor{thmred}{RGB}{240, 200, 200}
\definecolor{labelred}{RGB}{120, 30, 20}
\definecolor{importantred}{RGB}{100,15,15}

\definecolor{thmyellow}{HTML}{faf5cd}
\definecolor{labelyellow}{HTML}{999400}

\definecolor{proofbrown}{RGB}{100,40,40}
\definecolor{titlered}{rgb}{1.0, 0.0, 0.0}

\definecolor{persianblue}{rgb}{0.11, 0.22, 0.73}

% theorem colors

\definecolor{thmblue}{rgb}{0.88, 0.95, 0.98}
\definecolor{darkblue}{RGB}{36,57,108}
\definecolor{wildblueyonder}{rgb}{0.64, 0.68, 0.82}

\definecolor{thmgreen}{RGB}{207,241,208}
\definecolor{darkgreen}{RGB}{30,70,30}

\definecolor{thmred}{RGB}{240, 200, 200}
\definecolor{darkred}{RGB}{120, 30, 20}

\definecolor{proofbrown}{RGB}{100,40,40}
\definecolor{aqua}{rgb}{0,1,1}

\definecolor{primeripink}{HTML}{F56866}

\newtheoremstyle{dylantheo}%                % Name
  {0pt}%                                     % Space above
  {2pt}%                                     % Space below
  {}%                                     % Body font
  {}%                                     % Indent amount
  {\color{darkblue}\sffamily\bfseries}%                            % Theorem head font
  {}%                                    % Punctuation after theorem head
  {\newline}%                                    % Space after theorem head, ' ', or \newline
  {\thmname{#1}\thmnumber{ #2}\thmnote{ (#3)}}%                                     % Theorem head spec (can be left empty, meaning `normal')
  
\newtheoremstyle{dylantheononum}%                % Name
  {0pt}%                                     % Space above
  {2pt}%                                     % Space below
  {}%                                     % Body font
  {}%                                     % Indent amount
  {\color{darkblue}\sffamily\bfseries}%                            % Theorem head font
  {}%                                    % Punctuation after theorem head
  {\newline}%                                    % Space after theorem head, ' ', or \newline
  {\thmname{#1}\thmnote{ (#3)}}%                                     % Theorem head spec (can be left empty, meaning `normal')
  
\newtheoremstyle{dylandef}%                % Name
  {0pt}%                                     % Space above
  {2pt}%                                     % Space below
  {}%                                     % Body font
  {}%                                     % Indent amount
  {\color{primeripink}\sffamily\bfseries}%                            % Theorem head font
  {}%                                    % Punctuation after theorem head
  {\newline}%                                    % Space after theorem head, ' ', or \newline
  {\footnotesize{\thmnote{#3}}}%                                     % Theorem head spec (can be left empty, meaning `normal')
  
\newtheoremstyle{dylanexam}%                % Name
  {0pt}%                                     % Space above
  {2pt}%                                     % Space below
  {}%                                     % Body font
  {}%                                     % Indent amount
  {\color{ForestGreen}\sffamily\bfseries}%                            % Theorem head font
  {}%                                    % Punctuation after theorem head
  {\newline}%                                    % Space after theorem head, ' ', or \newline
  {\thmname{#1}\thmnumber{ #2}\thmnote{ (#3)}}%                                     % Theorem head spec (can be left empty, meaning `normal')
  
\newtheoremstyle{dylanmoral}%                % Name
  {0pt}%                                     % Space above
  {2pt}%                                     % Space below
  {}%                                     % Body font
  {}%                                     % Indent amount
  {\color{aqua!95!black}\sffamily\bfseries}%                            % Theorem head font
  {}%                                    % Punctuation after theorem head
  {\newline}%                                    % Space after theorem head, ' ', or \newline
  {\thmname{#1}\thmnote{ (#3)}}%                                     % Theorem head spec (can be left empty, meaning `normal')
  
\newtheoremstyle{dylanprob}%                % Name
  {0pt}%                                     % Space above
  {2pt}%                                     % Space below
  {}%                                     % Body font
  {}%                                     % Indent amount
  {\color{RoyalPurple}\sffamily\bfseries}%                            % Theorem head font
  {}%                                    % Punctuation after theorem head
  {\newline}%                                    % Space after theorem head, ' ', or \newline
  {\thmname{#1}\thmnumber{ #2}\thmnote{ (#3)}}%                                     % Theorem head spec (can be left empty, meaning `normal')
  
\newtheoremstyle{dylanfact}%                % Name
  {0pt}%                                     % Space above
  {2pt}%                                     % Space below
  {}%                                     % Body font
  {}%                                     % Indent amount
  {\color{BurntOrange}\sffamily\bfseries}%                            % Theorem head font
  {.}%                                    % Punctuation after theorem head
  { }%                                    % Space after theorem head, ' ', or \newline
  {\thmname{#1}\thmnumber{ #2}\thmnote{ (#3)}}%                                     % Theorem head spec (can be left empty, meaning `normal')

\newtheoremstyle{dylanexercise}%                % Name
  {0pt}%                                     % Space above
  {2pt}%                                     % Space below
  {\small}%                                     % Body font
  {}%                                     % Indent amount
  {\color{NavyBlue}\sffamily\bfseries}%                            % Theorem head font
  {.}%                                    % Punctuation after theorem head
  { }%                                    % Space after theorem head, ' ', or \newline
  {\thmname{#1}\thmnumber{ #2}\thmnote{ (#3)}}%
  
\newtheoremstyle{dylanProblem}%                % Name
  {0pt}%                                     % Space above
  {2pt}%                                     % Space below
  {}%                                     % Body font
  {}%                                     % Indent amount
  {\notofont\color{\maincolor}\bfseries}%                            % Theorem head font
  {.}%                                    % Punctuation after theorem head
  { }%                                    % Space after theorem head, ' ', or \newline
  {\thmname{#1}\thmnumber{ #2}\thmnote{ (#3)}}%
  
\newtheoremstyle{dylanwalk}%                % Name
  {}%                                     % Space above
  {}%                                     % Space below
  {}%                                     % Body font
  {}%                                     % Indent amount
  {\color{PineGreen}\sffamily\bfseries}%                            % Theorem head font
  {.}%                                    % Punctuation after theorem head
  {1.5mm}%                                    % Space after theorem head, ' ', or \newline
  {\thmname{#1}\thmnumber{ #2}\thmnote{ #3}}%
  
\newtheoremstyle{dylaninduct}%                % Name
  {0pt}%                                     % Space above
  {2pt}%                                     % Space below
  {}%                                     % Body font
  {}%                                     % Indent amount
  {\color{Cyan!50!CornflowerBlue}\sffamily\bfseries}%                            % Theorem head font
  {}%                                    % Punctuation after theorem head
  {\newline}%                                    % Space after theorem head, ' ', or \newline
  {\thmname{#1}\thmnote{ (#3)}}%                                     % Theorem head spec (can be left empty, meaning `normal')
  
\newtheoremstyle{dylancase}%                % Name
  {0pt}%                                     % Space above
  {2pt}%                                     % Space below
  {}%                                     % Body font
  {}%                                     % Indent amount
  {\color{Magenta!50!CornflowerBlue}\sffamily\bfseries}%                            % Theorem head font
  {}%                                    % Punctuation after theorem head
  {\newline}%                                    % Space after theorem head, ' ', or \newline
  {\thmname{#1}\thmnumber{ #2}\thmnote{ (#3)}}%                                     % Theorem head spec (can be left empty, meaning `normal')
  
\newtheoremstyle{dylanremark}%                % Name
  {0pt}%                                     % Space above
  {2pt}%                                     % Space below
  {\small}%                                     % Body font
  {}%                                     % Indent amount
  {\color{black}\sffamily\itshape}%                            % Theorem head font
  {.}%                                    % Punctuation after theorem head
  { }%                                    % Space after theorem head, ' ', or \newline
  {\thmname{#1}\thmnumber{ #2}\thmnote{ (#3)}}%                                     % Theorem head spec (can be left empty, meaning `normal')
  
\newtheoremstyle{dylanmini}%                % Name
  {0pt}%                                     % Space above
  {2pt}%                                     % Space below
  {}%                                     % Body font
  {}%                                     % Indent amount
  {\color{black}\sffamily\bfseries}%                            % Theorem head font
  {}%                                    % Punctuation after theorem head
  {\newline}%                                    % Space after theorem head, ' ', or \newline
  {\thmname{#1}\thmnote{ (#3)}}%                                     % Theorem head spec (can be left empty, meaning `normal')

\RequirePackage{mdframed}

\RequirePackage{tcolorbox}
\tcbuselibrary{skins}
\tcbuselibrary{breakable}
\tcbuselibrary{theorems}

\ifprimerisecthm
\theoremstyle{dylantheo}
\newmdtheoremenv[% settings
backgroundcolor=wildblueyonder!30!white,
nobreak=true,
innertopmargin=5pt,
innerleftmargin=7pt,
innerrightmargin=7pt,
linecolor=darkblue,
linewidth=3pt,
topline=false,
bottomline=false,
rightline=false,
leftline=false]{theorem}{Theorem}[section]
\else
\theoremstyle{dylantheo}
\newmdtheoremenv[% settings
backgroundcolor=wildblueyonder!30!white,
nobreak=true,
innertopmargin=5pt,
innerleftmargin=7pt,
innerrightmargin=7pt,
linecolor=darkblue,
linewidth=3pt,
topline=false,
bottomline=false,
rightline=false,
leftline=false]{theorem}{Theorem}
\fi

\theoremstyle{dylantheo}
\newmdtheoremenv[% settings
backgroundcolor=wildblueyonder!30!white,
nobreak=true,
innertopmargin=5pt,
innerleftmargin=7pt,
innerrightmargin=7pt,
linecolor=darkblue,
linewidth=3pt,
topline=false,
bottomline=false,
rightline=false,
leftline=false]{lemma}[theorem]{Lemma}

\theoremstyle{dylantheononum}
\newmdtheoremenv[% settings
backgroundcolor=wildblueyonder!30!white,
nobreak=true,
innertopmargin=5pt,
innerleftmargin=7pt,
innerrightmargin=7pt,
linecolor=darkblue,
linewidth=3pt,
topline=false,
bottomline=false,
rightline=false,
leftline=false]{lemma*}{Lemma}

\theoremstyle{dylantheo}
\newmdtheoremenv[% settings
backgroundcolor=wildblueyonder!30!white,
nobreak=true,
innertopmargin=5pt,
innerleftmargin=7pt,
innerrightmargin=7pt,
linecolor=darkblue,
linewidth=3pt,
topline=false,
bottomline=false,
rightline=false,
leftline=false]{corollary}[theorem]{Corollary}

\theoremstyle{dylantheo}
\newmdtheoremenv[% settings
backgroundcolor=wildblueyonder!30!white,
nobreak=true,
innertopmargin=5pt,
innerleftmargin=7pt,
innerrightmargin=7pt,
linecolor=darkblue,
linewidth=3pt,
topline=false,
bottomline=false,
rightline=false,
leftline=false]{postulate}[theorem]{Postulate}

\theoremstyle{dylantheo}
\newmdtheoremenv[% settings
backgroundcolor=wildblueyonder!30!white,
nobreak=true,
innertopmargin=5pt,
innerleftmargin=7pt,
innerrightmargin=7pt,
linecolor=darkblue,
linewidth=3pt,
topline=false,
bottomline=false,
rightline=false,
leftline=false]{prop}[theorem]{Proposition}

\theoremstyle{dylantheo}
\newmdtheoremenv[% settings
backgroundcolor=wildblueyonder!30!white,
nobreak=true,
innertopmargin=5pt,
innerleftmargin=7pt,
innerrightmargin=7pt,
linecolor=darkblue,
linewidth=3pt,
topline=false,
bottomline=false,
rightline=false,
leftline=false]{law}[theorem]{Law}

\theoremstyle{dylandef}
\newmdtheoremenv[% settings
backgroundcolor=primeripink!20!white,
nobreak=true,
innertopmargin=5pt,
innerleftmargin=7pt,
innerrightmargin=7pt,
linecolor=primeripink,
linewidth=3pt,
topline=false,
bottomline=false,
rightline=false,
leftline=true]{defn}{Definition}

\theoremstyle{dylanexam}
\newmdtheoremenv[% settings
backgroundcolor=thmgreen!50!white,
linecolor=ForestGreen,
linewidth=0.3mm,
nobreak=false,
innerleftmargin=5pt,
innerrightmargin=5pt,
topline=true,
bottomline=true,
rightline=true,
leftline=true]{example}[theorem]{Example}

\theoremstyle{dylanmoral} 
\newmdtheoremenv[% settings
backgroundcolor=aqua!10,
linecolor=aqua!95!black,
linewidth=0.3mm,
nobreak=false,
innerleftmargin=5pt,
innerrightmargin=5pt,
topline=true,
bottomline=true,
rightline=true,
leftline=true]{moral}[theorem]{Moral}

\theoremstyle{dylanprob} 
\newmdtheoremenv[% settings
backgroundcolor=BlueViolet!10!white,
linecolor=RoyalPurple,
linewidth=0.3mm,
nobreak=false,
innerleftmargin=5pt,
innerrightmargin=5pt,
topline=true,
bottomline=true,
rightline=true,
leftline=true]{problem}[theorem]{Problem}

\theoremstyle{dylanfact}
\newmdtheoremenv[% settings
backgroundcolor=Dandelion!15,
linecolor=BurntOrange,
linewidth=0.3mm,
nobreak=false,
innerleftmargin=5pt,
innerrightmargin=5pt,
topline=true,
bottomline=true,
rightline=true,
leftline=true]{fact}[theorem]{Fact}

\theoremstyle{dylanexercise}
\newmdtheoremenv[% settings
nobreak=false,
innerleftmargin=0pt,
innerrightmargin=0pt,
topline=false,
bottomline=false,
rightline=false,
leftline=false]{exercise}[theorem]{Exercise}

\theoremstyle{dylanProblem}
\newmdtheoremenv[% settings
nobreak=false,
innerleftmargin=0pt,
innerrightmargin=0pt,
topline=false,
bottomline=false,
rightline=false,
leftline=false]{Problem}{Problem}

% \makeatletter
% \newcommand\asycode[2][]{%
%   \stepcounter{asy}%
%   \setkeys{ASYkeys}{#1}%
%   \ifASYattach
%     \ASYinlinefalse
%   \fi
%   \ifx\asydir\empty\else
%     \def\ASYprefix{\asydir/}%
%   \fi
%   \immediate\write\AsyPreStream{%
%     \noexpand\InputIfFileExists{%
%       \ASYprefix\noexpand\jobname-\the\c@asy.pre}{}{}%
%   }
%   \asy@write@graphic@header
%   \immediate\write\AsyStream{\detokenize{#2}}% here asy does the writing
%   \asy@finalise@stream
%   \asy@input@graphic
% }
% \makeatother

% \usepackage{environ}
% \NewEnviron{Problem}[1][]{
% \ifx&#1&%
%     \problem{\BODY}
% \else
%     \problem[#1]{\BODY}
% \fi
% }

\theoremstyle{dylaninduct}
\newmdtheoremenv[% settings
backgroundcolor=SkyBlue!15,
linecolor=Cyan!50!CornflowerBlue,
linewidth=0.3mm,
nobreak=false,
innerleftmargin=5pt,
innerrightmargin=5pt,
topline=true,
bottomline=true,
rightline=true,
leftline=true]{basecase}{Base Case}

\theoremstyle{dylaninduct}
\newmdtheoremenv[% settings
backgroundcolor=SkyBlue!15,
linecolor=Cyan!50!CornflowerBlue,
linewidth=0.3mm,
nobreak=false,
innerleftmargin=5pt,
innerrightmargin=5pt,
topline=true,
bottomline=true,
rightline=true,
leftline=true]{indstep}{Inductive Step}

\theoremstyle{dylancase}
\newmdtheoremenv[% settings
backgroundcolor=Magenta!15,
linecolor=Magenta!50!CornflowerBlue,
linewidth=0.3mm,
nobreak=false,
innerleftmargin=5pt,
innerrightmargin=5pt,
topline=true,
bottomline=true,
rightline=true,
leftline=true]{case}{Case}

\theoremstyle{dylanremark}
\newmdtheoremenv[% settings
backgroundcolor=black!5,
nobreak=true,
innertopmargin=5pt,
innerleftmargin=7pt,
innerrightmargin=7pt,
linecolor=black,
linewidth=3pt,
topline=false,
bottomline=false,
rightline=false,
leftline=true]{remark}[theorem]{Remark}

\theoremstyle{dylanremark}
\newmdtheoremenv[% settings
backgroundcolor=Black!5,
linecolor=Black,
linewidth=0.3mm,
nobreak=false,
innerleftmargin=5pt,
innerrightmargin=5pt,
topline=true,
bottomline=true,
rightline=true,
leftline=true]{solution}[theorem]{Solution}

\newenvironment{exercisebox}{\begin{mdframed}[backgroundcolor=MidnightBlue!10,linecolor=NavyBlue,linewidth=1mm,topline=false,bottomline=false,leftline=true,rightline=false,
    innertopmargin=3pt,
    innerbottommargin=2pt,
    innerrightmargin=5pt,
    innerleftmargin=5pt]}{\end{mdframed}}
    
% \newenvironment{problembox}{\begin{mdframed}[backgroundcolor=WildStrawberry!10,linecolor=RedViolet,linewidth=0.3mm,topline=true,bottomline=true,leftline=true,rightline=true,
%     innertopmargin=3pt,
%     innerbottommargin=2pt,
%     innerrightmargin=5pt,
%     innerleftmargin=5pt]}{\end{mdframed}}

\newenvironment{problembox}{}{}
    
\theoremstyle{dylanwalk}

%%added walk for walkthroughs 
\newtheorem*{walk}{Walkthrough} % always use the enumerate environment during walkthroughs

% \def\walk{\noindent {\color{PineGreen}\sffamily\bfseries Walkthrough. }\hspace*{2mm}}

\newenvironment{boxpar}[1][]{%
\begin{mdframed}[nobreak=false]\vspace*{-0.5cm}\paragraph{\color{\maincolor}\sffamily #1}
}{\end{mdframed}}

\newenvironment{keywords}{\begin{abstract} \sffamily\small \textbf{Keywords:}}{\end{abstract}}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%Theorem
\newcounter{theo}[section] \setcounter{theo}{0}
\renewcommand{\thetheo}{\thetheorem}
\newenvironment{theo}[1][]{%
\refstepcounter{theorem}%
\ifstrempty{#1}%
{\mdfsetup{%
frametitle={%
\tikz[baseline=(current bounding box.east),outer sep=0pt]
\node[anchor=east,rectangle,fill=blue!20]
{\strut \sffamily \color{blue!70!black} Theorem~\thetheo};}}
}%
{\mdfsetup{%
frametitle={%
\tikz[baseline=(current bounding box.east),outer sep=0pt]
\node[anchor=east,rectangle,fill=blue!20]
{\strut \sffamily \color{blue!70!black} Theorem~\thetheo~(#1)};}}%
}%
\mdfsetup{innertopmargin=10pt,linecolor=blue!20,%
linewidth=2pt,topline=true,%
frametitleaboveskip=\dimexpr-\ht\strutbox\relax
}
\begin{mdframed}[]\relax%
}{\end{mdframed}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%Example
\newcounter{exam}[section] \setcounter{exam}{0}
\renewcommand{\theexam}{\thetheorem}
\newenvironment{exam}[1][]{%
\refstepcounter{theorem}%
\ifstrempty{#1}%
{\mdfsetup{%
frametitle={%
\tikz[baseline=(current bounding box.east),outer sep=0pt]
\node[anchor=east,rectangle,fill=green!20]
{\strut \sffamily \color{ForestGreen!70!black} Example~\theexam};}}
}%
{\mdfsetup{%
frametitle={%
\tikz[baseline=(current bounding box.east),outer sep=0pt]
\node[anchor=east,rectangle,fill=green!20]
{\strut \sffamily \color{ForestGreen!70!black} Example~\theexam~(#1)};}}%
}%
\mdfsetup{innertopmargin=10pt,linecolor=green!20,%
linewidth=2pt,topline=true,%
frametitleaboveskip=\dimexpr-\ht\strutbox\relax
}
\begin{mdframed}[]\relax%
}{\end{mdframed}}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%Definition
\newcounter{defi}[section]\setcounter{defi}{0}
\renewcommand{\thedefi}{\thetheorem}
\newenvironment{defi}[1][]{%
\refstepcounter{theorem}%
\ifstrempty{#1}%
{\mdfsetup{%
frametitle={%
\tikz[baseline=(current bounding box.east),outer sep=0pt]
\node[anchor=east,rectangle,fill=red!20]
{\strut \sffamily \color{red!70!black} Definition~\thedefi};}}
}%
{\mdfsetup{%
frametitle={%
\tikz[baseline=(current bounding box.east),outer sep=0pt]
\node[anchor=east,rectangle,fill=red!20]
{\strut \sffamily \color{red!70!black} Definition~\thedefi~(#1)};}}%
}%
\mdfsetup{innertopmargin=10pt,linecolor=red!20,%
linewidth=2pt,topline=true,%
frametitleaboveskip=\dimexpr-\ht\strutbox\relax
}
\begin{mdframed}[]\relax%
}{\end{mdframed}}

%%%%%%%
%PROBLEMS%
%%%%%%%

\RequirePackage{adjustbox} % needs adjustbox

\newcommand{\pawnB}[1][1.3ex]{%
\adjustbox{Trim=4.3pt 2.6pt 4.3pt 0pt,width=#1,raise=-0.15ex,margin=0.1ex 0ex 0.1ex 0ex}{\BlackPawnOnWhite}%
}%
\newcommand{\rookB}[1][1.58ex]{%
\adjustbox{Trim=3.2pt 2.2pt 3.2pt 0pt,width=#1,raise=-0.2ex,margin=0.1ex 0ex 0.1ex 0ex}{\BlackRookOnWhite}%
}%
\newcommand{\knightB}[1][1.85ex]{%
\adjustbox{Trim=2.3pt 2.35pt 2.5pt 0pt,width=#1,raise=-0.03ex,margin=0.14ex 0ex 0.14ex 0ex}{\BlackKnightOnWhite}%
}%
\newcommand{\bishopB}[1][1.79ex]{%
\adjustbox{Trim=2.3pt 2pt 2.3pt 0pt,width=#1,raise=-0.12ex,margin=0.1ex 0ex 0.1ex 0ex}{\BlackBishopOnWhite}%
}%
\newcommand{\queenB}[1][2.05ex]{%
\adjustbox{Trim=1.2pt 2.2pt 1.2pt 0pt,width=#1,raise=-0.08ex,margin=0.1ex 0ex 0.1ex 0ex}{\BlackQueenOnWhite}%
}%
\newcommand{\kingB}[1][1.95ex]{%
\adjustbox{Trim=2pt 2pt 2pt 0pt,width=#1,raise=-0.06ex,margin=0.13ex 0ex 0.13ex 0ex}{\BlackKingOnWhite}%
}%

% convenience macros

\newcommand{\probSymb}{\pawnB}
\newcommand{\reqSymb}{\rookB}

% page setup

\newcommand{\problems}{\pagebreak\section{Problems}}

\newcommand{\psetquote}[2] % BE CAREFUL WITH THIS. must be DIRECTLY after minpt
{
\begin{flushright}
\begin{tikzpicture}
\draw (0,0) node [right,text width=8.75cm]{
\begin{mdframed}[linecolor=\maincolor!90,leftline=true,rightline=false,bottomline=false,topline=false,linewidth=3pt,backgroundcolor=\maincolor!5]
{\sffamily``#1''}

\vspace{1mm}

\hfill\color{\maincolor!70!black}\textit{#2}
\end{mdframed}
};

\end{tikzpicture}
\end{flushright}
}

% actual problems

\newcounter{probcnt}

\ifprimerinopts
\newcommand{\minpt}[1]{}

\newcommand{\prob}[3][]{
\stepcounter{Problem}
{
{\noindent\notofont\color{\maincolor}\textbf{Problem \theProblem\if\relax\detokenize{#2}\else\hspace{3pt}(#2)\fi.}}{\hspace{3pt}#3}
\vspace{0.2cm}
}
}

\newcommand{\req}[3][]{
\stepcounter{Problem}
{\noindent
{\notofont\color{\maincolor}\textbf{Problem \theProblem\if\relax\detokenize{#2}\else\hspace{3pt}(#2)\fi.}}{\hspace{3pt}#3}
\vspace{0.2cm}
}
}
\else
\newcommand{\minpt}[1]{\noindent\textsf{Minimum is {\color{\maincolor}\notofont\bfseries[#1\,\probSymb]}. Problems denoted with {\color{\maincolor!50!white}\reqSymb} are required. (They still count towards the point total.)}}

\newcommand{\prob}[3][]{
\stepcounter{Problem}
{\noindent
{\notofont\color{\maincolor}\if\relax\detokenize{#1}\else\textbf{\small{[#1\,\probSymb}]} \fi \textbf{Problem \theProblem\if\relax\detokenize{#2}\else\hspace{3pt}(#2)\fi.}}{\hspace{3pt}#3}
\vspace{0.2cm}
}
}

\newcommand{\req}[3][]{
\stepcounter{Problem}
{\noindent
{\notofont\color{\maincolor!50!white}\if\relax\detokenize{#1}\else\textbf{\small{[#1\,\reqSymb]}} \fi \textbf{Problem \theProblem\if\relax\detokenize{#2}\else\hspace{3pt}(#2)\fi.}}{\hspace{3pt}#3}
\vspace{0.2cm}
}
}
\fi

\renewcommand{\problem}[2][]{
\prob{#1}{#2}
}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%%fakesection Asymptote setup
\ifprimeriasy
	\ifprimeripatchasy
		\usepackage{patch-asy}
	\else
		\usepackage{asymptote}
	\fi
	\begin{asydef}
		import olympiad;
		import cse5;
		import geometry;
		pointpen = black;
		pathpen = black;
		pathfontpen = black;
		anglepen = black;
		anglefontpen = black;
		pointfontsize = 10;
		defaultpen(fontsize(10pt));
		size(8cm); // set a reasonable default
		usepackage("amsmath");
		usepackage("amssymb");
		settings.tex="latex";
		settings.outformat="pdf";
	\end{asydef}
\fi
\ifprimerithm
	\usepackage{amsthm}
\fi

%%fakesection BEGIN MAIN SETUP
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

\ifprimerisetup
	%%fakesection Set up author and date
	% \ifprimeriauthor
	%	\AtBeginDocument {%
	%		\author{Dylan Yu}
	%		\date{\today}
	%	}
	% \fi
	%%fakesection Hyperref
	\ifprimeripkg
		\PassOptionsToPackage{usenames,svgnames,dvipsnames}{xcolor}
		\usepackage{xcolor}
		\ifprimerihref
			\usepackage[colorlinks=true]{hyperref}
			\hypersetup{urlcolor=\maincolor,linkcolor=\secondcolor,citecolor=SkyBlue2}
		\fi
		\usepackage[nameinlink]{cleveref}
	\fi

\definecolor{Purple06}{RGB}{029, 002, 053}
\definecolor{Purple05}{RGB}{038, 008, 065}
\definecolor{Purple04}{RGB}{048, 016, 078}
\definecolor{Purple03}{RGB}{056, 023, 090}
\definecolor{Purple02}{RGB}{064, 031, 104}
\definecolor{Purple01}{RGB}{072, 036, 118}
\definecolor{Violet001}{RGB}{120,100,163}
		
\fi


	\ifprimericolorsec
		\@ifundefined{KOMAClassName}{}{
			\@ifundefined{chapter}{}{
				 \addtokomafont{partprefix}{\rmfamily}
				\renewcommand*{\partformat}{\color{\maincolor}
					\scalebox{2.5}{\thepart}\enlargethispage{2em}}
				\addtokomafont{chapterprefix}{\raggedleft}
				\RedeclareSectionCommand[beforeskip=0.4em]{chapter}
				\renewcommand*{\chapterformat}{\mbox{%
					\scalebox{1.5}{\chapappifchapterprefix{\nobreakspace}}%
					\scalebox{2.72}{\color{\maincolor}\thechapter}\enskip}}
			}
	        \usepackage[Symbol]{upgreek}
	        \usepackage{stackengine}
	        \newcommand{\circled}[2][none]{%
                \tikz[baseline=(a.base)]\node[draw=#1,circle,inner sep=0.2pt, outer sep=0pt,fill=#1](a){\ensuremath #2\strut};
            }
			\newcommand{\sectionsymbol}{\S} % \stackanchor{$\uppi$}{$\uppi\uppi$} 
			
			\renewcommand*{\sectionformat}%
				{\color{\maincolor}\sectionsymbol\thesection\enskip}
			\renewcommand*{\subsectionformat}%
				{\color{\maincolor}\sectionsymbol\thesubsection\enskip}
			\renewcommand*{\subsubsectionformat}%
				{\color{\maincolor}\sectionsymbol\thesubsubsection\enskip}
			\KOMAoptions{numbers=noenddot}
			\usepackage[tocindentauto]{tocstyle}
			\usetocstyle{KOMAlike}
		}
	\fi


	%%fakesection Loads a bunch of useful packages (but allow disabling)
	\ifprimeripkg
		\IfFileExists{von.sty}{\usepackage{von}}{}
		\usepackage{listings}
		\usepackage{mathrsfs}
		\usepackage{textcomp}
		\lstset{basicstyle=\footnotesize\ttfamily,
			numbers=left,
			numbersep=5pt,
			numberstyle=\tiny,
			keywordstyle=\bfseries,
			% title=\lstname,
			showstringspaces=false,
			tabsize=4,
			frame=single,
			keywordstyle=\bfseries\color{blue},
			commentstyle=\color{green!70!black},
			identifierstyle=\color{green!20!black},
			stringstyle=\color{orange},
			breaklines=true,
			breakatwhitespace=true,
			frame=none
		}
		\usepackage[shortlabels]{enumitem}
		% a list I like for walkthrough's --- Drew-style parts
		\usepackage[obeyFinal,textsize=scriptsize,shadow]{todonotes}
		\usepackage{textcomp}
		\usepackage{multirow}
		% Tiny tiny optimizations:
		\usepackage{mathtools}
		\usepackage{microtype}
	\fi

	%%fakesection \maketitle configuration
	\@ifundefined{KOMAClassName}%
		{} % do nothing outside KOMA class
		{% If KOMA exists. . .
		\addtokomafont{subtitle}{\Large}
		\setkomafont{author}{\Large\scshape}
		\setkomafont{date}{\Large\normalsize}
		}
	\providecommand{\thetitle}{\@title}
	\providecommand{\theauthor}{\@author}
	\providecommand{\thedate}{\@date}
	
	\date{\href{https://www.primeri.org/}{primeri.org}} % DONT CHANGE 
	
	\RequirePackage{etoolbox} % used for patchcmd

    \patchcmd{\@maketitle}{\@title}{\merri\color{\maincolor}\bfseries\@title}{}{}
    \patchcmd{\@maketitle}{\@author}{\merri\@author}{}{}
    \patchcmd{\@maketitle}{\@date}{\merri\color{\maincolor}{\@date}}{}{}

	%%fakesection Commutative diagrams support
	\ifprimeridiagrams
		\usepackage{diagrams}
		\newarrow{Inj}C--->
		\newarrow{Surj}----{>>}
		\newarrow{Proj}----{>>}
		\newarrow{Embed}>--->
		\newarrow{Incl}C--->
		\newarrow{Mapsto}|--->
		\newarrow{Isom}<--->
		\newarrow{Dotted}....>
		\newarrow{Dashed}{}{dash}{}{dash}>
		\newarrow{Line}-----
		\usepackage{tikz-cd}
		\usetikzlibrary{decorations.pathmorphing}
		\tikzcdset{row sep/normal=3.14em,column sep/normal=3.14em}
	\fi

	%%fakesection Page Setup
	\ifprimerifancy
		\@ifundefined{KOMAClassName}
		{
		    \usepackage{fancyhdr}
			\setlength{\headheight}{0.75in}
			\setlength{\oddsidemargin}{0in}
			\setlength{\evensidemargin}{0in}
			\setlength{\voffset}{-1.0in}
			\setlength{\headsep}{10pt}
			\setlength{\textwidth}{6.5in}
			\setlength{\headwidth}{6.5in}
			\setlength{\textheight}{8.75in}
			\setlength{\parskip}{1ex plus 0.5ex minus 0.2ex}
			\setlength{\footskip}{0.3in}
			\ifprimerihdr
				\renewcommand{\headrulewidth}{0.5pt}
				\renewcommand{\footrulewidth}{0.0pt}
				\pagestyle{fancy}
				\lhead{Dylan Yu}
				\chead{}
				\rhead{\nouppercase{\leftmark}}
				\lfoot{}
				\cfoot{\thepage}
				\rfoot{}
			\fi
		}
		
		
			\usepackage[headsepline]{scrlayer-scrpage}
			\renewcommand{\headfont}{}
			\addtolength{\textheight}{3cm}
			\setlength{\footskip}{0.2in}
			\setlength{\headsep}{10pt}
			\ihead{\sffamily\footnotesize\textbf{\theauthor} \textbf{\textcolor{\maincolor}{(\thedate )}}}
			\chead{}
			\cfoot{}
			\ohead{\sffamily\footnotesize\textbf{\thetitle}}
			\ofoot{\thepage}
		
		
		
		
	\fi

	%%fakesection Chinese support
	\ifprimerichinese
		\usepackage[encapsulated]{CJK}
		\usepackage{ucs}
		\usepackage[utf8x]{inputenc}
		\newenvironment{bsmi}{\begin{CJK}{UTF8}{bsmi}}{\end{CJK}}
		\newcommand{\cn}[1]{\begin{bsmi}#1\end{bsmi}}
		\AtBeginDocument{\begin{CJK}{UTF8}{bsmi}}
		\AtEndDocument{\end{CJK}}
	\fi

	%%fakesection Hints
	\ifprimerihints
		\usepackage{answers}
		\Newassociation{hint}{hintitem}{hints}
		\renewcommand{\solutionextension}{out}
		\Opensolutionfile{hints}
		\newcommand{\makehints}{\Closesolutionfile{hints}\input{hints.out}} % chktex 27
	\fi
%%fakesection END MAIN SETUP

\usepackage{multicol}
\usepackage{afterpage}
\usepackage{pagecolor}
\usepackage{ytableau}
\usepackage{tikzducks}
% \colorlet{titlepagecolor}{\maincolor}
\usepackage{multirow}
\usepackage{skak}
\usepackage{mdframed}

\usetikzlibrary{arrows, automata}

\newcommand\titlepagedecoration{%
\begin{tikzpicture}[remember picture,overlay,shorten >= -10pt]

\coordinate (aux1) at ([yshift=-15pt]current page.north east);
\coordinate (aux2) at ([yshift=-410pt]current page.north east);
\coordinate (aux3) at ([xshift=-4.5cm]current page.north east);
\coordinate (aux4) at ([yshift=-150pt]current page.north east);

\begin{scope}[\maincolor!63,line width=12pt,rounded corners=12pt]

\draw[\maincolor!63]
  (aux1) -- coordinate (a) 
  ++(225:5) --
  ++(-45:5.1) coordinate (b);
\draw[shorten <= -10pt]
  (aux3) --
  (a) --
  (aux1);
\draw[opacity=0.6,\secondcolor!50!\maincolor,shorten <= -10pt]
  (b) --
  ++(225:2.2) --
  ++(-45:2.2);
\end{scope}
\draw[\maincolor!70!\secondcolor,line width=8pt,rounded corners=8pt,shorten <= -10pt]
  (aux4) --
  ++(225:0.8) --
  ++(-45:0.8);
\begin{scope}[\secondcolor!70,line width=6pt,rounded corners=8pt]
\draw[shorten <= -10pt]
  (aux2) --
  ++(225:3) coordinate[pos=0.45] (c) --
  ++(-45:3.1);
\draw[\secondcolor!80!\maincolor]
  (aux2) --
  (c) --
  ++(135:2.5) --
  ++(45:2.5) --
  ++(-45:2.5) coordinate[pos=0.3] (d);   
\draw[\secondcolor!65!\maincolor]
  (d) -- +(45:1);
  
\end{scope}
\end{tikzpicture}%
}

\usepackage[prefix=]{xcolor-material}
\pgfmathdeclarerandomlist{material}{%
{Red}{Blue}{Green}}
\tikzset{%
  half clip/.code={
    \clip (0, -256) rectangle (256, 256);
  },
  color/.code=\colorlet{fill color}{#1},
  color alias/.code args={#1 as #2}{\colorlet{#1}{#2}},
  colors alias/.style={color alias/.list/.expanded={#1}},
  execute/.code={#1},
  on left/.style={.. on left/.style={#1}},
  on right/.style={.. on right/.style={#1}},
  split/.style args={#1 and #2}{
    on left ={color alias=fill color as #1},
    on right={color alias=fill color as #2, half clip}
  }
}
\newcommand\reflect[2][]{%
\begin{scope}[#1]\foreach \side in {-1, 1}{\begin{scope}
\ifnum\side=-1 \tikzset{.. on left/.try}\else\tikzset{.. on right/.try}\fi
\begin{scope}[xscale=\side]#2\end{scope}
\end{scope}}\end{scope}}

\tikzset{%
squid/.pic={
\begin{scope}[x=3cm/480,y=3cm/480]
\useasboundingbox (-256, -256) (256, 256);
\reflect[split={DeepOrange500 and DeepOrange700}]{
  \fill [fill color] (0,96) ellipse [x radius=97, y radius=127];
  \fill [fill color]
    (72,-16)
    .. controls ++(270:72) and ++(270:40) .. ++(108,  -16)
    .. controls ++( 90:64) and ++(270:64) .. ++(-40,128)
    .. controls ++( 90:32) and ++(270:32) .. ++( 40, 96)
    arc (180:0:4)
    .. controls ++(270: 32) and ++( 90: 32) .. ++(-24, -96)
    .. controls ++(270: 64) and ++( 90: 64) .. ++( 56,-128)
    .. controls ++(270:128) and ++(270:160) ..   (  0, -16);
  \fill [fill color]  (64, 16) circle [radius=48];
  \fill [Grey50]      (64, 16) circle [radius=32];
  \fill [BlueGrey900] (64, 16) circle [radius=12];
  \fill [fill color]  (-4, -20)
    .. controls ++(270:256) and ++(225: 64) .. (128,-192)
    arc (315:495:4)
    .. controls ++(210: 64) and ++(270:192) .. (48, -40);
}
\fill [DeepOrange900]
  (-40,-40) arc (180:360:40 and 16) arc (360:180:40 and 40);
\fill [DeepOrange300]
  (-32,108) circle [radius=16] (-40,160) circle [radius=12]
  (-20,196) circle [radius= 8]  ( 40,160) circle [radius=16]
  ( 64,120) circle [radius= 8]  ( 40,100) circle [radius=12];
\end{scope}
}
}
\newcommand{\tikznode}[2]{\tikz[remember picture,baseline=(#1.base),inner
 sep=0pt]{\node(#1)[inner sep=0pt]{#2};}}

\definecolor{purple11}{RGB}{51, 0, 102}
\definecolor{Ultra1}{RGB}{18, 10, 142}
\definecolor{SteelBlue}{RGB}{70,130,180}


\newcommand{\chapquote}[3]{\begin{quotation} \textcolor{SteelBlue}{\textsl{#1}} \end{quotation} \begin{flushright} - \textcolor{SteelBlue}{#2} \textit{#3}\end{flushright} }

%%% TITLE
\newcommand{\dylantitle}{\maketitle \titlepagedecoration}
\newcommand{\fancytitle}{\dylantitle}

\usepackage[T1]{fontenc}
\usepackage{mathpazo}

%%% ARRAY
\usepackage{xparse}

\ExplSyntaxOn
\NewDocumentCommand{\storedata}{mm}
  {
   \bcp_store_data:nn { #1 } { #2 }
  }

\NewDocumentCommand{\appenddata}{mm}
 {
  \bcp_append_data:nn { #1 } { #2 }
 }

\NewExpandableDocumentCommand{\getdata}{O{1}m}
 {
  \bcp_get_data:nn { #1 } { #2 }
 }

\NewExpandableDocumentCommand{\getlength}{m}
 {
  \seq_count:c { l_bcp_data_#1_seq }
 }

\NewDocumentCommand{\removelast}{om}
 {
  \IfNoValueTF { #1 }
   {
    \bcp_remove_last:Nn \l_tmpa_tl { #2 }
   }
   {
    \bcp_remove_last:Nn #1 { #2 }
   }
 }

\cs_new_protected:Npn \bcp_store_data:nn #1 #2
 {
  % create the sequence if it doesn't exist or clear it if it exists
  \seq_clear_new:c { l_bcp_data_#1_seq }
  % append the items
  \__bcp_append_data:nn { #1 } { #2 }
 }

\cs_new_protected:Npn \bcp_append_data:nn #1 #2
 {
  % create the sequence if it doesn't exist, do nothing if it exists
  \seq_if_exist:cF { l_bcp_data_#1_seq }
   { \seq_new:c { l_bcp_data_#1_seq } }
  % append the items
  \__bcp_append_data:nn { #1 } { #2 }
 }

\cs_new_protected:Npn \__bcp_append_data:nn #1 #2
 {
  % append items one at a time
  \tl_map_inline:nn { #2 }
   {
    \seq_put_right:cn { l_bcp_data_#1_seq } { ##1 }
   }
 }

\cs_new:Npn \bcp_get_data:nn #1 #2
 {
  % retrieve the requested item
  \seq_item:cn { l_bcp_data_#2_seq } { #1 }
 }

\cs_new_protected:Nn \bcp_remove_last:Nn
 {
  \seq_pop_right:cN { l_bcp_data_#2_seq } #1
 }

\ExplSyntaxOff

\usepackage{tikz, tikz-cd, pgfplots} 
\usepgfplotslibrary{fillbetween}
\usetikzlibrary{arrows.meta,arrows,scopes,patterns,shapes.geometric,angles,quotes,intersections,calc}
\makeatletter
\tikzset{% https://tex.stackexchange.com/a/142491
  mirror/.code={\pgfutil@in@{--}{#1}\ifpgfutil@in@\tikz@trans@mirror#1\@nil
    \else\tikz@scan@one@point\pgftransformmirror#1\relax\fi},
  ymirror/.code={\pgfutil@ifnextchar(\tikz@trans@ymirror@coordinate\tikz@trans@ymirror@simple#1\@nil},
  xmirror/.code={\pgfutil@ifnextchar(\tikz@trans@xmirror@coordinate\tikz@trans@xmirror@simple#1\@nil}}
\def\tikz@trans@mirror#1--#2\@nil{%
  \pgfextract@process\pgf@trans@mirror@A{\tikz@scan@one@point\pgfutil@firstofone#1}%
  \pgfextract@process\pgf@trans@mirror@B{\tikz@scan@one@point\pgfutil@firstofone#2}%
  \pgftransformMirror{\pgf@trans@mirror@A}{\pgf@trans@mirror@B}}
\def\pgftransformxmirror#1{\pgfmathparse{2*(#1)}\pgftransformcm{-1}{0}{0}{1}{\pgfqpoint{+\pgfmathresult pt}{+0pt}}}
\def\pgftransformymirror#1{\pgfmathparse{2*(#1)}\pgftransformcm{1}{0}{0}{-1}{\pgfqpoint{+0pt}{+\pgfmathresult pt}}}
\def\tikz@trans@ymirror@simple#1\@nil{
  \pgfmathparse{#1}\let\tikz@temp\pgfmathresult
  \ifpgfmathunitsdeclared
    \pgftransformymirror{\tikz@temp pt}%
  \else
    \pgf@process{\pgfpointxy{0}{\tikz@temp}}%
    \pgftransformymirror{+\the\pgf@y}%
  \fi}
\def\tikz@trans@xmirror@simple#1\@nil{
  \pgfmathparse{#1}\let\tikz@temp\pgfmathresult
  \ifpgfmathunitsdeclared
    \pgftransformxmirror{\tikz@temp pt}%
  \else
    \pgf@process{\pgfpointxy{\tikz@temp}{0}}%
    \pgftransformxmirror{+\the\pgf@x}%
  \fi}
\def\tikz@trans@xmirror@coordinate#1\@nil{\tikz@scan@one@point\pgfutil@firstofone#1\pgftransformxmirror{+\the\pgf@x}}
\def\tikz@trans@ymirror@coordinate#1\@nil{\tikz@scan@one@point\pgfutil@firstofone#1\pgftransformymirror{+\the\pgf@y}}
\def\pgftransformmirror#1{%
  \pgfpointnormalised{#1}%
  \pgf@xa=\pgf@sys@tonumber\pgf@y\pgf@x
  \pgf@xb=\pgf@sys@tonumber\pgf@x\pgf@x
  \pgf@yb=\pgf@sys@tonumber\pgf@y\pgf@y
  \multiply\pgf@xa2\relax
  \pgf@xc=-\pgf@yb\advance\pgf@xc\pgf@xb
  \pgf@yc=-\pgf@xb\advance\pgf@yc\pgf@yb
  \edef\pgf@temp{{\the\pgf@xc}{+\the\pgf@xa}{+\the\pgf@xa}{+\the\pgf@yc}}%
  \expandafter\pgf@transformcm\pgf@temp{\pgfpointorigin}}
\def\pgftransformMirror#1#2{%
  \pgfextract@process\pgf@trans@mirror@A{#1}%
  \pgfextract@process\pgf@trans@mirror@B{#2}%
  \pgfextract@process\pgf@trans@mirror@g{\pgfpointdiff{\pgf@trans@mirror@A}{\pgf@trans@mirror@B}}%
  \pgftransformshift{\pgf@trans@mirror@A}%
  \pgftransformmirror{\pgf@trans@mirror@g}%
  \pgftransformshift{\pgfpointscale{-1}{\pgf@trans@mirror@A}}}
\makeatother

\pgfplotsset{every axis/.append style={
axis x line=middle,    % put the x axis in the middle
axis y line=middle,    % put the y axis in the middle
axis line style={<->}, % arrows on the axis
xlabel={$x$},          % default put x on x-axis
ylabel={$y$},          % default put y on y-axis
}}

\pgfplotsset{soldot/.style={color=black,only marks,mark=*},
 holdot/.style={color=black,fill=white,only marks,mark=*},
 compat=1.12}
 
%%% NEW MACROS FOR dylanadi -> evan conversion
\renewenvironment{problem}{\begin{Problem}}{\end{Problem}}
\newenvironment{definition}{\begin{defn}}{\end{defn}}
\usepackage{float}
\usepackage[makeroom]{cancel}
\usepackage{tikz, tikz-cd, pgfplots} 
\usepackage{multicol}