\documentclass[12pt]{article}
\usepackage{amsmath, amssymb, amsthm, mathtools}
\usepackage{booktabs}
\usepackage{float}
\usepackage{enumerate}
\usepackage{tikz}
\usetikzlibrary{arrows.meta}
\usepackage[hidelinks]{hyperref}

\theoremstyle{plain}
\newtheorem{thm}{Theorem}
\newtheorem*{thm*}{Theorem}
\newtheorem{lem}[thm]{Lemma}
\newtheorem{cor}[thm]{Corollary}
\newtheorem{conj}{Conjecture}
\newtheorem{claim}[thm]{Claim}
\newtheorem*{claim*}{Claim}
\newtheorem{prob}{Problem}

\newtheorem{innernumberedthm}{Theorem}
\newenvironment{numberedthm}[1]
  {\renewcommand\theinnernumberedthm{#1}\innernumberedthm}
  {\endinnernumberedthm}
\providecommand{\innernumberedthmautorefname}{Theorem}
\providecommand{\numberedthmautorefname}{Theorem}


\theoremstyle{definition}
\newtheorem{defn}[thm]{Definition}
\newtheorem{prop}[thm]{Property}
\newtheorem{note}[thm]{Notes}
\newtheorem{ex}[thm]{Example}
\newtheorem{obj}{Objective}
\newtheorem{rem}[thm]{Remark}

\DeclareMathOperator{\lcm}{lcm}

\newenvironment{solution}{%
    \vspace{1em} % Add one line of vertical space
    \noindent\textit{Solution.}%
}{\par}

\title{Advanced Combinatorics}

\author{Vasu Menon}
\date{Budapest Semesters in Math \\ Autumn 2025}

\begin{document}

\maketitle

\tableofcontents % Generates a table of contents
\newpage

\section*{Syllabus}
\label{sec:syllabus}
\addcontentsline{toc}{section}{Syllabus}
\input{syllabus.tex}
\newpage

\section*{Set 1}
\label{sec:set1}
\addcontentsline{toc}{section}{Set 1}
\input{ps1.tex}
\newpage

\section*{Set 2}
\label{sec:set2}
\addcontentsline{toc}{section}{Set 2}
\input{ps2.tex}
\newpage

\section*{Set 3}
\label{sec:set3}
\addcontentsline{toc}{section}{Set 3}
\input{ps3.tex}
\newpage

\section*{Set 4}
\label{sec:set4}
\addcontentsline{toc}{section}{Set 4}
\input{ps4.tex}
\newpage

\section*{Set 5}
\label{sec:set5}
\addcontentsline{toc}{section}{Set 5}
\input{ps5.tex}
\newpage

\section*{Set 6}
\label{sec:set6}
\addcontentsline{toc}{section}{Set 6}
\input{ps6.tex}
\newpage

\section*{Set 7}
\label{sec:set7}
\addcontentsline{toc}{section}{Set 7}
\input{ps7.tex}
\newpage

\section*{Midterm Sample}
\addcontentsline{toc}{section}{Midterm Sample}
\input{midtermsample.tex}
\newpage

\section*{Midterm}
\addcontentsline{toc}{section}{Midterm}
\input{midterm.tex}
\newpage

\section*{Final}
\addcontentsline{toc}{section}{Final}
\input{final.tex}
\newpage

\addcontentsline{toc}{section}{Scores}
\input{scores.tex}
\newpage



\end{document}
