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