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\def\foo#1{...#1...} is the primitive TeX way for defining one-argument macros. In a LaTeX context, the code should have \newcommand*{\Assign}[1]{...} \newcommand*{\Assigned}[1]{...} so as to check whether the macros are already defined and not be surprised of bizarre results. The purpose of the code is to make an array of comma separated lists of ...

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