\(
\newcommand{\ord}[1]{\mathcal{O}\left(#1\right)}
\newcommand{\abs}[1]{\lvert #1 \rvert}
\newcommand{\floor}[1]{\lfloor #1 \rfloor}
\newcommand{\ceil}[1]{\lceil #1 \rceil}
\newcommand{\opord}{\operatorname{\mathcal{O}}}
\newcommand{\fail}{\operatorname{\mathcal{F}}}
\newcommand{\flk}{\operatorname{\mathfrak{F}}}
\newcommand{\suf}{\operatorname{\sigma}}
\newcommand{\rank}{\operatorname{\mathcal{R}}}
\newcommand{\sa}{\operatorname{\mathcal{SA}}}
\newcommand{\hei}{\operatorname{\mathcal{H}}}
\newcommand{\edps}{\operatorname{\mathcal{E}}}
\newcommand{\mx}{\operatorname{\mathcal{M}}}
\newcommand{\argmax}{\operatorname{arg\,max}}
\newcommand{\cons}[1]{\left[ \: #1 \: \right]}
\newcommand{\str}[1]{\texttt{"#1"}}
\)