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% https://tex.stackexchange.com/q/305110
\documentclass[12pt, a4paper]{book}
\usepackage{xsim}
\xsimsetup{
exercise/within = section ,
exercise/the-counter = \thesection.\arabic{exercise}
}
\begin{document}
\part{EXCERCISES}
\chapter{Topic 1}
\section{Section}
\begin{exercise}
I'm an excercise.
\end{exercise}
\begin{solution}
I'm a solution.
\end{solution}
\section{Section}
\begin{exercise}
I'm an excercise.
\end{exercise}
\begin{solution}
I'm a solution.
\end{solution}
\chapter{Topic 2}
\section{Section}
\begin{exercise}
I'm an excercise.
\end{exercise}
\begin{solution}
I'm a solution.
\end{solution}
\section{Section}
\begin{exercise}
I'm an excercise.
\end{exercise}
\begin{solution}
I'm a solution.
\end{solution}
\setcounter{chapter}{0}
\part{SOLUTIONS}
\chapter{Topic 1}
\section{Section}
\printsolutions[chapter=1,section=1]
\section{Section}
\printsolutions[chapter=1,section=2]
\chapter{Topic 2}
\section{Section}
\printsolutions[chapter=2,section=1]
\section{Section}
\printsolutions[chapter=2,section=2]
\end{document}
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