$$
\def\R{\mathbb R}
\def\N{\mathbb N}
\def\Q{\mathbb Q}
\def\Z{\mathbb Z}
\newcommand{\st}{~:~}
\newcommand{\cee}{\mathsf{C}}
\newcommand{\bee}{\mathrm{B}}
\def\mathhlyellow#1{\bbox[##fff3bf,2px,border:1px solid ##b7791f]{#1}}
\def\mathhlgold#1{\bbox[##ffe8a3,2px,border:1px solid ##b7791f]{#1}}
\def\mathhlorange#1{\bbox[##ffddb3,2px,border:1px solid ##c05621]{#1}}
\def\mathhlgreen#1{\bbox[##d9f7d7,2px,border:1px solid ##3f8f46]{#1}}
\def\mathhlmint#1{\bbox[##d4f5e9,2px,border:1px solid ##2c7a7b]{#1}}
\def\mathhlblue#1{\bbox[##dceeff,2px,border:1px solid ##2b6cb0]{#1}}
\def\mathhlpurple#1{\bbox[##eadffd,2px,border:1px solid ##6b46c1]{#1}}
\def\mathhlpink#1{\bbox[##ffdbe8,2px,border:1px solid ##b83280]{#1}}
\def\mathhlred#1{\bbox[##ffd6d6,2px,border:1px solid ##c53030]{#1}}
\def\mathhlgray#1{\bbox[##e8ecef,2px,border:1px solid ##64748b]{#1}}
\def\mathhlgrey#1{\bbox[##e8ecef,2px,border:1px solid ##64748b]{#1}}
$$