\[ \let\oldlor\lor \renewcommand{\lor}{\; \oldlor \;} \let\oldland\land \renewcommand{\land}{\; \oldland \;} \renewcommand{\set}[1]{\{\, #1 \,\}} \renewcommand{\given}{\,\mid\,} \renewcommand{\abs}[1]{\lvert #1 \rvert} \renewcommand{\divs}{\!\;\mid\;\!} \renewcommand{\ndivs}{\!\;\nmid\;\!} \renewcommand{\betw}[3][1]{#1 \leq #2 \leq #3} \renewcommand{\mod}[1]{\ (\mathrm{mod}\ #1)} \renewcommand{\floor}[1]{\left \lfloor #1 \right \rfloor} \renewcommand{\ceil}[1]{\left \lceil #1 \right \rceil} \renewcommand{\t}[1]{\texttt{#1}} \renewcommand{\fori}[2][i]{\text{for } #1 = 0, 1, \dots, #2} \renewcommand{\x}[1]{\text{#1}} \renewcommand\concat{\mathbin{+\mkern-10mu+}} \DeclareMathOperator*{\CONCAT}{\concat} \DeclareMathOperator*{\SCC}{\|} \]

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