% build by Kurebe
% improved by Noguchi
%%%%% include packages %%%%%
\usepackage{ascmac}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{amsfonts}
\usepackage{txfonts} %times
\usepackage{cancel}
\usepackage{latexsym}
% \usepackage[dvipdfm]{graphicx}
\usepackage[dvipdfmx]{graphicx}
\usepackage[usenames]{color}
\usepackage{float}
\usepackage{theorem}
\usepackage{layout}
\usepackage{oldgerm}
%\usepackage{rsfs}
\usepackage{fancyhdr}
%\usepackage{lastpage}
%\usepackage{cases}
%\usepackage{here}
\usepackage{url}
%\usepackage{multirow}
\usepackage{booktabs}
\usepackage{array}
%\usepackage{slashbox}
%%%%% end of include packages %%%%%
%%%%% local definitions %%%%%
% Step Environment
\newcounter{mycounti}
\newcounter{mycountii}[mycounti]
\newcounter{mycountiii}[mycountii]
\newenvironment{steplist}{%
\def\themycountii{\themycounti.\arabic{mycountii}}
\def\themycountiii{\themycounti.\arabic{mycountii}.\arabic{mycountiii}}%test
\def\step{%
\refstepcounter{mycounti}\item[\bf Step.\themycounti]}%
\def\skipstep{\stepcounter{mycounti}}
\def\substep{%
\refstepcounter{mycountii}\item[\bf Step.\themycountii]}%
\def\subsubstep{%test
\refstepcounter{mycountiii}\item[\bf Step.\themycountiii]}%test
\begin{list}{}{\setlength{\leftmargin}{3em}
\setlength{\labelsep}{1em}
\setlength{\labelwidth}{\leftmargin}
\addtolength{\labelwidth}{-\labelsep}}
}{\end{list}}
% Case Environment
\newcounter{casecounti}
\newcounter{casecountii}[casecounti]
\newcounter{casecountiii}[casecountii]
\newenvironment{caselist}{%
\def\thecasecountii{\thecasecounti.\arabic{casecountii}}
\def\thecasecountiii{\thecasecounti.\arabic{casecountii}.\arabic{casecountiii}}%test
\def\case{%
\refstepcounter{casecounti}\item[\bf Case.\thecasecounti]}%
\def\skipstep{\stepcounter{casecounti}}
\def\subcase{%
\refstepcounter{casecountii}\item[\bf Case.\thecasecountii]}%
\def\subsubcase{%test
\refstepcounter{casecountiii}\item[\bf Case.\thecasecountiii]}%test
\begin{list}{}{\setlength{\leftmargin}{3em}
\setlength{\labelsep}{1em}
\setlength{\labelwidth}{\leftmargin}
\addtolength{\labelwidth}{-\labelsep}}
}{\end{list}}
% Indent Environment
\newenvironment{indention}[1]{\par
\addtolength{\leftskip}{#1}
\begingroup}{\endgroup\par}
% Theorem Environment
\theoremstyle{break}
\theorembodyfont{\rmfamily}
\newtheorem{theorem}{Theorem}[section]
\newtheorem{lemma}{Lemma}[section]
\newtheorem{corollary}{Corollary}[section]
\newtheorem{definition}{Definition}[section]
\newcommand{\qed}{\hbox{\rule[-2pt]{3pt}{6pt}}}
% Font Difinition
\def\Z{{\mathbb{Z}}} % \Z == \mathbb{Z}
\def\N{{\mathbb{N}}} % \N == \mathbb{N}
\def\Q{{\mathbb{Q}}} % \Q == \mathbb{Q}
\def\R{{\mathbb{R}}} % \R == \mathbb{R}
\def\C{{\mathbb{C}}} % \C == \mathbb{C}
\def\O{{\mathbb{O}}} % \O == \mathbb{O}
\def\P{{\mathbb{P}}} % \P == \mathbb{P}
\def\Fg{{\mathbb{F}}} % \Fg == \mathbb{F}
\def\h{{\mathfrak{h}}} % \h == \mathfrak{Q}
\def\g{{\mathfrak{g}}} % \g == \mathfrak{R}
\def\E{{\mathscr{E}}} % \E == \mathscr{E}
\def\F{{\mathscr{F}}} % \F == \mathscr{F}
\def\S{{\mathscr{S}}} % \S == \mathscr{S}
%%%%% end of local definitions %%%%%
%********************************************************************
% 1in=72.27pt=2.54cm
%********************************************************************
%********************************************************************
% font size
%********************************************************************
% A4:297 * 210
%********************************************************************
% 9pt
%********************************************************************
\topskip=10mm%18pt %1stBaseLine
\hoffset=-1in%-25.4mm%-42.27pt %(1)
\voffset=-1in%-25.4mm%-52.27pt %(1)
\oddsidemargin=15mm%15pt %
\evensidemargin=15mm%15pt %
\topmargin=15mm%15mm%-10pt %
\headheight=0mm%0pt %
% \headsep=25pt %
\headsep=0mm%45pt %
\textheight=293mm%820pt% %9pt
\textwidth=195mm%560pt % 9pt
\footskip=0mm%15pt %
%********************************************************************
% 10pt
%********************************************************************
% \topskip=25pt %1stBaseLine
%
% \hoffset=-42.27pt %(1)
% \voffset=-52.27pt %(1)
%
% \oddsidemargin=20pt %
% \evensidemargin=20pt %
%
% \topmargin=-10pt %
% \headheight=0pt %
% \headsep=25pt %
%
% \textheight=760pt %10pt
% \textwidth=495pt % 10pt
%
% \footskip=30pt %
%********************************************************************
% 11pt
%********************************************************************
% \topskip=25pt %1stBaseLine
%
% \hoffset=-42.27pt %(1)
% \voffset=-52.27pt %(1)
%
% \oddsidemargin=40pt %
% \evensidemargin=40pt %
%
% \topmargin=-10pt %
% \headheight=0pt %
% \headsep=25pt %
%
% \textheight=694pt %11pt
% \textwidth=413pt % 11pt
%
% \footskip=30pt %
%********************************************************************
% font size end
%********************************************************************
\marginparsep=0pt %
\marginparwidth=0pt %
\marginparpush=0mm%5pt %2
\paperheight=297mm%845pt %
\paperwidth=210mm%%597pt %
\columnsep=8mm%28pt %2
\columnseprule=0pt %2
% \parindent=5pt %
\mathindent=50pt%
\renewcommand{\baselinestretch}{1.040} %
\pagestyle{empty} %
% \pagestyle{headings} %
% \pagestyle{plain} %
%********************************************************************
%
%********************************************************************
\newcommand{\f}[1]{\framebox[1cm]{\textgt{\small #1}}}
%********************************************************************
%
%********************************************************************
\newcommand{\MARU}[1]{{\ooalign{\hfil#1\/\hfil\crcr \raise.167ex\hbox{\mathhexbox20D}}}}
%********************************************************************
% ()
%********************************************************************
\newcommand{\ruby}[2]{%
\leavevmode
\setbox1=\hbox{#1}%
\setbox3=\hbox{\tiny #2}%
\ifdim\wd1>\wd3 \dimen1=\wd1 \else \dimen1=\wd3 \fi
\hbox{%
\kanjiskip=0pt plus 2fil
\xkanjiskip=0pt plus 2fil
\vbox{\hbox to \dimen1{\tiny \hfil\unhbox3\hfil}%
\nointerlineskip
\hbox to \dimen1{\hfil\unhbox1\hfil}
}
}
}
%********************************************************************
% ()
%********************************************************************
\makeatletter
\def\kenten#1{%
\ifvmode\leavevmode\else\hskip\kanjiskip\fi
\setbox1=\hbox to \z@{\hss}
\ht1=.63zw
\@kenten#1\end
}
\def\@kenten#1{%
\ifx#1\end \let\next=\relax \else
\raise.63zw\copy1\nobreak #1\hskip\kanjiskip\relax
\let\next=\@kenten
\fi\next
}
\makeatother
%********************************************************************
% 2()
%********************************************************************
\makeatletter
\def\kenmaru#1{%
\ifvmode\leavevmode\else\hskip\kanjiskip\fi
\setbox1=\hbox to \z@{$\;\!\circ$\hss}
\ht1=.75zw
\@kenmaru#1\end
}
\def\@kenmaru#1{%
\ifx#1\end \let\next=\relax \else
\raise.75zw\copy1\nobreak #1\hskip\kanjiskip\relax
\let\next=\@kenmaru
\fi\next
}
\makeatother
%********************************************************************
% (a/b)
%********************************************************************
\newcommand{\FRAC}[2]{
\leavevmode\kern.1em
\raise.5ex\hbox{\the\scriptfont0 #1}\kern-.1em
/\kern-.15em\lower.25ex\hbox{\the\scriptfont0 #2}
}
%********************************************************************
% (a/b)
%********************************************************************
\newcommand{\order}[1]{
\mathrm{O}(#1)
}