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%%%%%%%%%%%%%%%%%%%%%%%%%
%%% Rewrite from Here %%%
%%%%%%%%%%%%%%%%%%%%%%%%%
\centerline{Direct(Shift JIS)}
\D{、} 
\D{。} 
\D{，} 
\D{．} 
\D{・} 
\D{：} 
\D{；} 
\D{？} 
\D{！} 
\D{゛} 
\D{゜} 
\D{´} 
\D{｀} 
\D{¨} 
\D{＾} 
\D{￣} 
\D{＿} 
\D{ヽ} 
\D{ヾ} 
\D{ゝ} 
\D{ゞ} 
\D{〃} 
\D{仝} 
\D{々} 
\D{〆} 
\D{〇} 
\D{ー} 
\D{―} 
\D{‐} 

\D{／} 
\D{＼} 
\D{～} 
\D{∥} 
\D{｜} 
\D{…} 
\D{‥} 
\!\!\D{‘} 
\,\,\D{’} 
\!\!\D{“} 
\,\,\D{”} 
\!\D{（} 
\,\D{）} 
\!\D{〔} 
\,\D{〕} 
\!\D{［} 
\,\D{］} 
\!\D{｛} 
\,\D{｝} 
\!\D{〈} 
\,\D{〉} 
\!\D{《} 
\,\D{》} 
\!\D{「} 
\,\D{」} 
\!\D{『} 
\,\D{』} 
\!\D{【} 
\D{】} 

\D{＋} 
\D{－} 
\D{±} 
\D{×} 
%%%%
\D{÷} 
\D{＝} 
\D{≠} 
\D{＜} 
\D{＞} 
\D{≦} 
\D{≧} 
\D{∞} 
\D{∴} 
\D{♂} 
\D{♀} 
\D{°} 
\D{′} 
\D{″} 
\D{℃} 
\D{￥} 
\D{＄} 
\D{￠} 
\D{￡} 
\D{％} 
\D{＃} 
\D{＆} 
\D{＊} 
\D{＠} 
\D{§} 

\D{☆} 
\D{★} 
\D{○} 
\D{●} 
\D{◎} 
\D{◇} 
\D{◆} 
\D{□} 
\D{■} 
\D{△} 
\D{▲} 
\D{▽} 
\D{▼} 
\D{※} 
\D{〒} 
\D{→} 
\D{←} 
\D{↑} 
\D{↓} 
\D{〓} 


\D{ぁ} 
\D{あ} 
\D{ぃ} 
\D{い} 
\D{ぅ} 
\D{う} 
\D{ぇ} 
\D{え} 
\D{ぉ} 
\D{お} 
\D{か} 
\D{が} 
\D{き} 
\D{ぎ} 
\D{く} 
\D{ぐ} 
\D{け} 
\D{げ} 
\D{こ} 
\D{ご} 
\D{さ} 
\D{ざ} 
\D{し} 
\D{じ} 
\D{す} 
\D{ず} 
\D{せ} 
\D{ぜ} 
\D{そ} 
\D{ぞ} 

\D{た} 
\D{だ} 
\D{ち} 
\D{ぢ} 
\D{っ} 
\D{つ} 
\D{づ} 
\D{て} 
\D{で} 
\D{と} 
\D{ど} 
\D{な} 
\D{に} 
\D{ぬ} 
\D{ね} 
\D{の} 
\D{は} 
\D{ば} 
\D{ぱ} 
\D{ひ} 
\D{び} 
\D{ぴ} 
\D{ふ} 
\D{ぶ} 
\D{ぷ} 
\D{へ} 
\D{べ} 
\D{ぺ} 

\D{ほ} 
\D{ぼ} 
\D{ぽ} 
\D{ま} 
\D{み} 
\D{む} 
\D{め} 
\D{も} 
\D{ゃ} 
\D{や} 
\D{ゅ} 
\D{ゆ} 
\D{ょ} 
\D{よ} 
\D{ら} 
\D{り} 
\D{る} 
\D{れ} 
\D{ろ} 
\D{ゎ} 
\D{わ} 
\D{ゐ} 
\D{ゑ} 
\D{を} 
\D{ん} 

\D{ァ} 
\D{ア} 
\D{ィ} 
\D{イ} 
\D{ゥ} 
\D{ウ} 
\D{ェ} 
\D{エ} 
\D{ォ} 
\D{オ} 
\D{カ} 
\D{ガ} 
\D{キ} 
\D{ギ} 
\D{ク} 
\D{グ} 
\D{ケ} 
\D{ゲ} 
\D{コ} 
\D{ゴ} 
\D{サ} 
\D{ザ} 
\D{シ} 
\D{ジ} 
\D{ス} 
\D{ズ} 
\D{セ} 
\D{ゼ} 
\D{ソ} 
\D{ゾ} 

\D{タ} 
\D{ダ} 
\D{チ} 
\D{ヂ} 
\D{ッ} 
\D{ツ} 
\D{ヅ} 
\D{テ} 
\D{デ} 
\D{ト} 
\D{ド} 
\D{ナ} 
\D{ニ} 
\D{ヌ} 
\D{ネ} 
\D{ノ} 
\D{ハ} 
\D{バ} 
\D{パ} 
\D{ヒ} 
\D{ビ} 
\D{ピ} 
\D{フ} 
\D{ブ} 
\D{プ} 
\D{ヘ} 
\D{ベ} 
\D{ペ} 

\D{ホ} 
\D{ボ} 
\D{ポ} 
\D{マ} 
\D{ミ} 
\D{ム} 
\D{メ} 
\D{モ} 
\D{ャ} 
\D{ヤ} 
\D{ュ} 
\D{ユ} 
\D{ョ} 
\D{ヨ} 
\D{ラ} 
\D{リ} 
\D{ル} 
\D{レ} 
\D{ロ} 
\D{ヮ} 
\D{ワ} 
\D{ヰ} 
\D{ヱ} 
\D{ヲ} 
\D{ン} 
\D{ヴ} 
\D{ヵ} 
\D{ヶ} 

\D{０} 
\D{１} 
\D{２} 
\D{３} 
\D{４} 
\D{５} 
\D{６} 
\D{７} 
\D{８} 
\D{９} 

\D{Ａ} 
\D{Ｂ} 
\D{Ｃ} 
\D{Ｄ} 
\D{Ｅ} 
\D{Ｆ} 
\D{Ｇ} 
\D{Ｈ} 
\D{Ｉ} 
\D{Ｊ} 
\D{Ｋ} 
\D{Ｌ} 
\D{Ｍ} 
\D{Ｎ} 
\D{Ｏ} 
\D{Ｐ} 
\D{Ｑ} 
\D{Ｒ} 
\D{Ｓ} 
\D{Ｔ} 
\D{Ｕ} 
\D{Ｖ} 
\D{Ｗ} 
\D{Ｘ} 
\D{Ｙ} 
\D{Ｚ} 

\D{ａ} 
\D{ｂ} 
\D{ｃ} 
\D{ｄ} 
\D{ｅ} 
\D{ｆ} 
\D{ｇ} 
\D{ｈ} 
\D{ｉ} 
\D{ｊ} 
\D{ｋ} 
\D{ｌ} 
\D{ｍ} 
\D{ｎ} 
\D{ｏ} 
\D{ｐ} 
\D{ｑ} 
\D{ｒ} 
\D{ｓ} 
\D{ｔ} 
\D{ｕ} 
\D{ｖ} 
\D{ｗ} 
\D{ｘ} 
\D{ｙ} 
\D{ｚ} 

\D{Α} 
\D{Β} 
\D{Γ} 
\D{Δ} 
\D{Ε} 
\D{Ζ} 
\D{Η} 
\D{Θ} 
\D{Ι} 
\D{Κ} 
\D{Λ} 
\D{Μ} 
\D{Ν} 
\D{Ξ} 
\D{Ο} 
\D{Π} 
\D{Ρ} 
\D{Σ} 
\D{Τ} 
\D{Υ} 
\D{Φ} 
\D{Χ} 
\D{Ψ} 
\D{Ω} 

\D{α} 
\D{β} 
\D{γ} 
\D{δ} 
\D{ε} 
\D{ζ} 
\D{η} 
\D{θ} 
\D{ι} 
\D{κ} 
\D{λ} 
\D{μ} 
\D{ν} 
\D{ξ} 
\D{ο} 
\D{π} 
\D{ρ} 
\D{σ} 
\D{τ} 
\D{υ} 
\D{φ} 
\D{χ} 
\D{ψ} 
\D{ω} 

\D{А} 
\D{Б} 
\D{В} 
\D{Г} 
\D{Д} 
\D{Е} 
\D{Ё} 
\D{Ж} 
\D{З} 
\D{И} 
\D{Й} 
\D{К} 
\D{Л} 
\D{М} 
\D{Н} 
\D{О} 
\D{П} 
\D{Р} 
\D{С} 
\D{Т} 
\D{У} 
\D{Ф} 
\D{Х} 
\D{Ц} 
\D{Ч} 
\D{Ш} 
\D{Щ} 

\D{Ъ} 
\D{Ы} 
\D{Ь} 
\D{Э} 
\D{Ю} 
\D{Я} 

\D{а} 
\D{б} 
\D{в} 
\D{г} 
\D{д} 
\D{е} 
\D{ё} 
\D{ж} 
\D{з} 
\D{и} 
\D{й} 
\D{к} 
\D{л} 
\D{м} 
\D{н} 
\D{о} 
\D{п} 
\D{р} 
\D{с} 
\D{т} 
\D{у} 
\D{ф} 
\D{х} 
\D{ц} 
\D{ч} 
\D{ш} 
\D{щ} 

\D{ъ} 
\D{ы} 
\D{ь} 
\D{э} 
\D{ю} 
\D{я} 

\D{∈} 
\D{∋} 
\D{⊆} 
\D{⊇} 
\D{⊂} 
\D{⊃} 
\D{∪} 
\D{∩} 
\D{∧} 
\D{∨} 
\D{￢} 
\D{⇒} 
\D{⇔} 
\D{∀} 
\D{∃} 
\D{∠} 
\D{⊥} 
\D{⌒} 
\D{∂} 
\D{∇} 
\D{≡} 
\D{≒} 
\D{≪} 
\D{≫} 
\D{√} 
\D{∽} 
\D{∝} 
\D{∵} 
\D{∫} 
\D{∬} 

\D{Å} 
\D{‰} 
\D{♯} 
\D{♭} 
\D{♪} 
\D{†} 
\D{‡} 
\D{¶} 
\D{◯} 
\bigskip

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\keyin{&#37;}{\%}
\keyin{&permil;}{‰} %%\keyin{&#8240;}{}
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\keyin{&amp;}{\&} %\keyin{&#38;}{}
\keyin{&cent;}{￠}
\keyin{&pound;}{\pounds}
%\keyin{&curren;}{}	% No SJIS
\keyin{&yen;}{\yen}
%\keyin{&brvbar;}{} % No SJIS
\keyin{&sect;}{\S}
\keyin{&dagger;}{$\dag$}
\keyin{&Dagger;}{$\ddag$}
\keyin{&not;}{$\lnot$}
%\keyin{&shy;}{?}
\keyin{&copy;}{\copyright}
\keyin{&reg;}{\textregistered}
\keyin{&trade;}{\texttrademark}
\keyin{&uml;}{\"{}}
\keyin{&ordf;}{\textordfeminine}
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\keyin{&deg;}{${}^\circ$}
\keyin{&plusmn;}{$\pm$}
\keyin{&acute;}{\'{}}
\keyin{&micro;}{$\mu$}
\keyin{&para;}{\P}
\keyin{&middot;}{\textperiodcentered}
\keyin{&cedil;}{\,\c{}\,}
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\keyin{&laquo;}{$\ll$}
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\keyin{&iquest;}{\textquestiondown}

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\keyin{&sup2;}{${}^2$}
\keyin{&sup3;}{${}^3$}
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\keyin{&Iuml;}{\"I}
%\keyin{&Eth;}{\DH}
\keyin{&Ntilde;}{\~N}
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\keyin{&Ocirc;}{\^O}
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%\keyin{&szlig;}{\ss}

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\keyin{&euml;}{\"e}
\keyin{&igrave;}{\`\i}
\keyin{&iacute;}{\'\i}
\keyin{&icirc;}{\^\i}
\keyin{&iuml;}{\"\i}
%\keyin{&eth;}{\dh}
\keyin{&ntilde;}{\~n}
\keyin{&ograve;}{\`o}
\keyin{&oacute;}{\'o}
\keyin{&ocirc;}{\^o}
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%\keyin{&thorn;}{\th}
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\keyin{&yuml;}{\"y}

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%%\keyin{&#8226;}{}
\keyin{&hellip;}{$\cdots$}
\keyin{&#8230;}{}
\keyin{&prime;}{${}'$}\ 
\keyin{&Prime;}{${}''$}\ 
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%%\keyin{&#8254;}{}
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\keyin{&Iota;}{I}
\keyin{&Kappa;}{K}
\keyin{&Lambda;}{$\Lambda$}
\keyin{&Mu;}{M}
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\keyin{&Omicron;}{O}
\keyin{&Pi;}{$\Pi$}
\keyin{&Rho;}{P}
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\keyin{&Tau;}{T}
\keyin{&Upsilon;}{$\Upsilon$}
\keyin{&PHI;}{$\Phi$}
\keyin{&Chi;}{X}
\keyin{&Psi;}{$\Psi$}
\keyin{&Omega;}{$\Omega$}

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\keyin{&beta;}{$\beta$}
\keyin{&gamma;}{$\gamma$}
\keyin{&delta;}{$\delta$}
\keyin{&epsilon;}{$\epsilon$}
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\keyin{&eta;}{$\eta$}
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\keyin{&iota;}{$\iota$}
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\keyin{&nu;}{$\nu$}
\keyin{&xi;}{$\xi$}
\keyin{&omicron;}{o}
\keyin{&pi;}{$\pi$}
\keyin{&rho;}{$\rho$}
\keyin{&sigmaf;}{$\varsigma$}
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\keyin{&tau;}{$\tau$}
\keyin{&upsilon;}{$\upsilon$}
\keyin{&phi;}{$\varphi$}
\keyin{&chi;}{$\chi$}
\keyin{&psi;}{$\psi$}
\keyin{&omega;}{$\omega$}
\keyin{&thetasym;}{$\vartheta$} %\keyin{&#977;}{}
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\keyin{&piv;}{$\varpi$} %\keyin{&#982;}{}

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\keyin{&lowast;}{$\ast$}
\keyin{&radic;}{$\sqrt{\ }$} %{√} %\keyin{&#8730;}{}
\keyin{&prop;}{$\propto$}
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\keyin{&and;}{$\wedge$}
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\keyin{&cup;}{$\cup$}
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\keyin{&#8750;}{$\oint$}
\keyin{&there4;}{$\therefore$}
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\keyin{&cong;}{$\cong$}
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\keyin{&le;}{$\le$}
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\keyin{&#8486;}{$\mho$}
%\keyin{&#37;}{}
\keyin{&lt;}{$<$}
\keyin{&gt;}{$>$}

\keyin{&quot;}{${}''$} %\keyin{&#34;}{}
\keyin{&oelig;}{\OE}
\keyin{&oelig;}{\oe}
\keyin{&scaron;}{\u{S}}
\keyin{&scaron;}{\u{s}}
\keyin{&yuml;}{\"{Y}}
\keyin{&circ;}{\textasciicircum}
\keyin{&tilde;}{\textasciitilde}
\keyin{&ndash;}{--} %%\keyin{&#8211;}{}
\keyin{&mdash;}{---} %%\keyin{&#8212;}{}
\keyin{&lsquo;}{`} %%\keyin{&#8216;}{}
\keyin{&rsquo;}{'} %%\keyin{&#8217;}{}
\keyin{&sbquo;}{,} %%\keyin{&#8218;}{}
\keyin{&ldquo;}{``} %%\keyin{&#8220;}{}
\keyin{&rdquo;}{''} %%\keyin{&#8221;}{}
\keyin{&bdquo;}{,\hspace{-1pt},} %%\keyin{&#8222;}{}
\keyin{&lsaquo;}{$\langle$} %%\keyin{&#8249;}{}
\keyin{&rsaquo;}{$\rangle$} %%\keyin{&#8250;}{}
%\keyin{&euro;}{} %%\keyin{&#8364;}{}

\keyin{&#9650;}{$\blacktriangle$}
\keyin{&#9658;}{$\blacktriangleright$}
\keyin{&#9660;}{$\blacktriangledown$}
\keyin{&#9668;}{$\blacktriangleleft$}
\keyin{&#9632;}{$\blacksquare$}
\keyin{&#9633;}{$\square$}
%\keyin{&#9635;}{}
%\keyin{&#9672;}{}
%\keyin{&#9636;}{}
%\keyin{&#9637;}{}
%\keyin{&#9638;}{}
%\keyin{&#9639;}{}
%\keyin{&#9640;}{}
%\keyin{&#9641;}{}
%\keyin{&#9642;}{}
%\keyin{&#9643;}{}
%\keyin{&loz;}{}
%\keyin{&#9674;}{}
\keyin{&#9675;}{○}\ 
\keyin{&#9679;}{●}
%\keyin{&#9786;}{}
%\keyin{&#9787;}{}
%\keyin{&#9788;}{}
%\keyin{&#9617;}{}
%\keyin{&#9618;}{}
%\keyin{&#9619;}{}
%\keyin{&euro;}{}
%\keyin{&#8364;}{}
%\keyin{&#8362;}{}
\keyin{&#9792;}{♀}
\keyin{&#9794;}{♂}
\keyin{&spades;}{$\spadesuit$}
%\keyin{&#9828;}{}
\keyin{&clubs;}{$\clubsuit$}
%\keyin{&#9831;}{}
%\keyin{&hearts;}{}
%\keyin{&#9829;}{}
\keyin{&#9825;}{$\heartsuit$}
\keyin{&diams;}{$\blacklozenge$}
\keyin{&#9733;}{$\bigstar$}
\keyin{&#9734;}{☆}
%\keyin{&#8962;}{}
%\keyin{&#8470;}{}
%\keyin{&#9742;}{}
%\keyin{&#9743;}{}
%\keyin{&#9832;}{}
%\keyin{&#9756;}{}
%\keyin{&#9758;}{}
%\keyin{&#9833;}{}
%\keyin{&#9834;}{}
%\keyin{&#9835;}{}
%\keyin{&#9742;}{}
%\keyin{&#9786;}{}
%\keyin{&#9787;}{}
%\keyin{&#9788;}{}
%\keyin{&#10045;}{}
%\keyin{&#1578;}{}
%\keyin{&#1769;}{}
%\keyin{&#3642;}{}
\newpage
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\leftline{\Goto{top}{Top}}

\vspace*{-3ex}
\centerline{\large\sf \name{young}{Packages for Young Tableau}}
{\bf 1.} {\tt young.sty} (by J\"org Knappen)

\keyin{\usepackage{young} 0d 0a}{{\tt\BK usepackage\{young\}}}\qquad

\keyin{\begin{Young} & & \cr 0d 0a & & \cr 0d 0a \end{Young}}%
{\texttt{\BK begin\{Young\}\\
 .. \& .. \& .. \BK cr\\
 .. \& .. \& .. \BK cr\\
\BK end\{Young\}
}}

\begin{z2col}
\begin{verbatim}
\begin{Young}
 $a_1$ & $a_2$ & $a_3$ & $a_4$ \cr
 $b_1$ & $b_2$ & $b_3$ \cr
 $c_1$ & $c_2$ & $c_3$\cr
 $d_1$ & $d_2$\cr
\end{Young}
\begin{Young}
  p  &  q &  r & s \cr
  pa & pb & pc \cr
  qa & qb & qc \cr
  ra & rb \cr
\end{Young}
\end{verbatim}

\kaidan

\vspace*{0.1ex}
\hspace*{2cm}
\begin{Young}
 $a_1$ & $a_2$ & $a_3$ & $a_4$ \cr
 $b_1$ & $b_2$ & $b_3$ \cr
 $c_1$ & $c_2$ & $c_3$\cr
 $d_1$ & $d_2$\cr
\end{Young}

\vspace*{5ex}
\hspace*{2cm}
\begin{Young}
  p  &  q &  r & s \cr
  pa & pb & pc \cr
  qa & qb & qc \cr
  ra & rb \cr
\end{Young}
\end{z2col}

\medskip
{\bf 2.} {\tt youngtab.sty} (by Volker B\"ochers and Stefan Gieseke)

\keyin{\usepackage[]{youngtab}}{\texttt{\BK usepackage[..]\{youngtab\}}}\\
{\tt\D{vcentermath}}   
\keyin{\Yvcentermath=}{\qquad\qquad{\tt\BK Yvcentermath}}=0 or 1

{\tt\D{noautoscale}}
\keyin{\Yautoscale=}{\qquad\qquad{\tt\BK Yautoscale}}=0 or 1

{\tt\D{stdtext}}

{\tt\D{enableskew}}


\keyin{\Yboxdim=}{{\tt\BK Yboxdim}}= \qquad\qquad  (valid only when autoscale is off)

\keyin{\Ylinethick=}{{\tt\BK Ylinethick}}=  \qquad\ \,(default: 0.3pt)

\keyin{\Yinterspace=}{{\tt\BK Yinterspace}}= \qquad(default: 0ex plus .3ex)
\begin{verbatim}
\def\I{ii}
$\yng(1,1)\oplus\yng(1) = \yng(2,1) + \cdots$
{\tiny$\yng(1,1)\oplus\yng(1) = \yng(2,1) + \cdots$}
\young(\I bcd,efg,hij,k) \hfill \young(abcd,:bc,::d)
\end{verbatim}
\def\I{ii}
$\yng(1,1)\oplus\yng(1) = \yng(2,1) + \cdots$\hfill
{\tiny$\yng(1,1)\oplus\yng(1) = \yng(2,1) + \cdots$}\hfill\hfill
\young(\I bcd,efg,hij,k)\hfill
\young(abcd,:bc,::d)
\end{document}