\usepackage{listings}
\usepackage{algorithmic}
\usepackage{amsmath}

\renewcommand{\algorithmicrequire}{\textbf{Input:}}
\renewcommand{\algorithmicensure}{\textbf{Output:}}

\lstset{
frame=tb,
numbers=left,
numberstyle=\tiny,
breaklines=true,
postbreak=\raisebox{0ex}[0ex][0ex]{\ensuremath{\color{red}\hookrightarrow\space}}
}

\DeclareMathOperator{\Hom}{Hom}
%\DeclareMathOperator{\P}{\frak{P}}
%\DeclareMathOperator{\exp}{exp}
%\DeclareMathOperator{\ln}{ln}
\newcommand{\N}{\ensuremath{\mathbb{N}}}