Skip to main content\(\newcommand{\inv}{\mathrm{inv}} \newcommand{\deg}{\mathrm{deg}} \newcommand{\des}{\mathrm{des}} \newcommand{\Des}{\mathrm{Des}} \newcommand{\Inv}{\mathrm{Inv}} \newcommand{\N}{\mathbb N} \newcommand{\Z}{\mathbb Z} \newcommand{\Q}{\mathbb Q} \newcommand{\R}{\mathbb R} \newcommand{\Bin}{\mathrm{Bin}} \newcommand{\comp}{\mathrm{Comp}} \newcommand{\ss}{\mathfrak{S}}
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\definecolor{fillinmathshade}{gray}{0.9}
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
\)
