Template for homework in course IV054 Coding, Cryptography and Cryptographic protocols at Faculty of Informatics, Masaryk University
\begin
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\documentclass[11pt]{exam}
\newcommand{\myname}{Crypto Coder} %Write your name in here
\newcommand{\myUCO}{123456} %write your UCO in here
\newcommand{\myhwtype}{Homework}
\newcommand{\myhwnum}{1} %Homework set number
\newcommand{\myclass}{IV054 2019}
\newcommand{\mylecture}{}
\newcommand{\mysection}{}
% Prefix for numedquestion's
\newcommand{\questiontype}{Question}
% Use this if your "written" questions are all under one section
% For example, if the homework handout has Section 5: Written Questions
% and all questions are 5.1, 5.2, 5.3, etc. set this to 5
% Use for 0 no prefix. Redefine as needed per-question.
\newcommand{\writtensection}{0}
\usepackage{amsmath, amsfonts, amsthm, amssymb} % Some math symbols
\usepackage{enumerate}
\usepackage{enumitem}
\usepackage{graphicx}
\usepackage{hyperref}
\usepackage[all]{xy}
\usepackage{wrapfig}
\usepackage{fancyvrb}
\usepackage[T1]{fontenc}
\usepackage{listings}
\usepackage{centernot}
\usepackage{mathtools}
\DeclarePairedDelimiter{\ceil}{\lceil}{\rceil}
\DeclarePairedDelimiter{\floor}{\lfloor}{\rfloor}
\DeclarePairedDelimiter{\card}{\vert}{\vert}
\setlength{\parindent}{0pt}
\setlength{\parskip}{5pt plus 1pt}
\pagestyle{empty}
\def\indented#1{\list{}{}\item[]}
\let\indented=\endlist
\newcounter{questionCounter}
\newcounter{partCounter}[questionCounter]
\newenvironment{namedquestion}[1][\arabic{questionCounter}]{%
\addtocounter{questionCounter}{1}%
\setcounter{partCounter}{0}%
\vspace{.2in}%
\noindent{\bf #1}%
\vspace{0.3em} \hrule \vspace{.1in}%
}{}
\newenvironment{numedquestion}[0]{%
\stepcounter{questionCounter}%
\vspace{.2in}%
\ifx\writtensection\undefined
\noindent{\bf \questiontype \; \arabic{questionCounter}. }%
\else
\if\writtensection0
\noindent{\bf \questiontype \; \arabic{questionCounter}. }%
\else
\noindent{\bf \questiontype \; \writtensection.\arabic{questionCounter} }%
\fi
\vspace{0.3em} \hrule \vspace{.1in}%
}{}
\newenvironment{alphaparts}[0]{%
\begin{enumerate}[label=\textbf{(\alph*)}]
}{\end{enumerate}}
\newenvironment{arabicparts}[0]{%
\begin{enumerate}[label=\textbf{\arabic{questionCounter}.\arabic*})]
}{\end{enumerate}}
\newenvironment{questionpart}[0]{%
\item
}{}
\newcommand{\answerbox}[1]{
\begin{framed}
\vspace{#1}
\end{framed}}
\pagestyle{head}
\headrule
\header{\textbf{\myclass\ \mylecture\mysection}}%
{\textbf{\myname\ (\myUCO)}}%
{\textbf{\myhwtype\ \myhwnum}}
\begin{document}
\thispagestyle{plain}
\begin{center}
{\Large \myclass{} \myhwtype{} \myhwnum} \\
\myname{} (\myUCO{}) \\
\today
\end{center}
%Here you can enter answers to homework questions
\begin{numedquestion}
This is my answer to the first question.
Don't forget to fill in your personal and class information at the top!
\end{numedquestion}
\begin{numedquestion}
This question's number will be auto-incremented.
\end{numedquestion}
% if you do not solve some of the questions use this command to increment counter
\setcounter{questionCounter}{4}
\begin{numedquestion}
Questions 2 and 3 were not solved, this is an answer to question 5.
\end{numedquestion}
% if questions have subparts, use this command
\begin{numedquestion}
Use the alphaparts environment to for letters.
\begin{alphaparts}
\item Part a
\item Part b
\item Part c
\end{alphaparts}
\end{numedquestion}
\begin{numedquestion}
You can still do things like nesting lists inside of these environments.
\begin{alphaparts}
\item part a
\begin{enumerate}[label=(\roman*)]
\item making point number 1
\item making point number 2
\item making point number 3
\end{enumerate}
\item part b
\item part c
\end{alphaparts}
\end{numedquestion}
\begin{numedquestion}
Using the \texttt{description} environment is a great way to typeset induction proofs!
\begin{description}
\item[Base Case:]
Here I have my base case.
\item[Induction Hypothesis:]
Assume things to make proof work.
\item[Induction Step:]
Prove all the things.
\end{description}
Therefore, we have proven the claim by induction on in the \texttt{description} environment.
\end{numedquestion}
\end{document}