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\(\require{mathrsfs}\newcommand{\abs}[1]{\left| #1 \right|} \renewcommand{\emptyset}{\varnothing} \DeclareMathOperator{\dom}{dom} \DeclareMathOperator{\range}{rng} \DeclareMathOperator{\perm}{perm} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \)