documentclass[12pt,a4paper,twoside]{report}

usepackage[utf8]{inputenc}
usepackage[top=2cm, bottom=2cm, left=2cm, right=2cm]{geometry}
usepackage{graphicx}
graphicspath{{images/}}
usepackage{setspace}
usepackage{epsfig}
usepackage{filecontents}
usepackage{xparse,nameref}
usepackage{mathrsfs}
usepackage[nokeyprefix]{refstyle}
usepackage{mathtools}
usepackage{thmtools}
usepackage{enumerate}
usepackage{enumitem}
usepackage{thm-restate}
usepackage{cleveref}
usepackage{amsmath}
usepackage{url}
usepackage{amsthm}
DeclareMathOperator{lcm}{lcm}
DeclareMathOperator{ord}{ord}
usepackage{cellspace}
setlengthcellspacetoplimit{4pt}
setlengthcellspacebottomlimit{4pt}
usepackage{booktabs}
setlengthdefaultaddspace{2ex}
usepackage{graphicx}
usepackage{array}
usepackage{tabularx,ragged2e,booktabs,caption}
usepackage[figuresleft]{rotating}
usepackage{rotating}
newcolumntype{C}{>{Centeringarraybackslash}X}
newcommandswb{{scriptstyleBox}} % "small white box"
usepackage{mathtools}
usepackage{tikz}
usetikzlibrary{positioning}
usetikzlibrary{arrows}
setcounter{secnumdepth}{3}
usetikzlibrary{shapes.multipart}
usepackage{tabu}
usepackage{amssymb,bm}
usepackage{framed}
usepackage{upgreek} %use uptau greek letter
usepackage{comment} %choose parts not to compile
usepackage{tikz}
tikzset{mynode/.style={fill=white,text=black,font=tiny,inner sep=1pt}}
usepackage[toc,page]{appendix}
addtolength{topmargin}{0.5in}

newenvironment{numberlists}[1][3parindent] %for long numberlist command
 {begin{list}{}{%
   leftmargin=#1relax
   rightmargin=leftmargin
   itemsep=jot
   parsep=0pt
   partopsep=0pt
   labelsep=0pt}}
 {end{list}}
newcommandnumlist[2]{%
  item[]makebox[0pt][r]{$#1=lbrack$}%
  begingroup
  begingrouplccode`~=`,lowercase{endgroupdef~}{mathcommapenalty0 }%
  mathcode`,="8000
  thinmuskip=6mu plus 6mu minus 2mu
  $#2rbrack$%
  endgroup
}
mathchardefmathcomma=mathcode`, %end of numberlist command
setlength{oddsidemargin}{-1in}   setlength{evensidemargin}{-1in}
addtolength{oddsidemargin}{20mm}addtolength{evensidemargin}{20mm}
setlength{marginparwidth}{40pt} setlength{marginparsep}{10pt}
setlength{topmargin}{-5mm}      setlength{headsep}{0.5in}
setlength{textheight}{227mm}    setlength{textwidth}{165mm}
renewcommandfloatpagefraction{0.8} %   Default = 0.5
usepackage{listings}
usepackage{color}
definecolor{dkgreen}{rgb}{0,0.6,0}
definecolor{gray}{rgb}{0.5,0.5,0.5}
definecolor{mauve}{rgb}{0.58,0,0.82}
lstset{
  language=Java,
  aboveskip=3mm,
  belowskip=3mm,
  showstringspaces=false,
  columns=flexible,
  basicstyle={smallttfamily},
  numbers=none,
  numberstyle=tinycolor{gray},
  keywordstyle=color{blue},
  commentstyle=color{dkgreen},
  stringstyle=color{mauve},
  breaklines=true,
  breakatwhitespace=true,
  tabsize=3
}