\(
\newcommand{\floor}[1]{\left\lfloor #1 \right\rfloor}
\newcommand{\ceil}[1]{\left\lceil #1 \right\rceil}
\newcommand{\pfrac}[2]{\left(\frac{#1}{#2}\right)}
\newcommand{\R}{\mathbb{R}}
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\Q}{\mathbb{Q}}
\newcommand{\cin}{c_{\rm in}}
\newcommand{\cout}{c_{\rm out}}
\newcommand{\maj}{\textnormal{Maj}}
\newcommand{\xor}{\oplus}
\newcommand{\depth}{\textnormal{depth}}
\newcommand{\poly}{\textnormal{poly}}
\newcommand{\x}{\mathbf{x}}
\newcommand{\b}{\mathbf{b}}
\newcommand{\cube}{\{0,1\}}
\)