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\newtheorem{definition}{Definition}
\newtheorem{remark}{Remark}
\newtheorem{theorem}{Theorem}
\newtheorem{lemma}[theorem]{Lemma}
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    \hbox to 5.78in { {\bf 18.415/6.854 Advanced Algorithms} \hfill #2 }
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\newcommand{\mxg}{Michel X.\ Goemans}
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\input{epsf}
%usage: \fig{LABEL}{FIGURE-HEIGHT}{CAPTION}{FILENAME}
\newcommand{\fig}[4]{
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