How do I add a blank line in the algorithmic environment?

If you want the empty line to be numbered, just insert

\STATE

on this line.

If you want an unnumbered empty line, insert

\item[]

instead.

just add

\texttt{\\}

it always works for me!!

It’s a kludge, but you might be able to use

\renewcommand{\algorithmiccomment}[1]{}
\begin{algorithmic}
    \STATE $x \leftarrow 1$
    \COMMENT{}
    \STATE $x \leftarrow 2$
\end{algorithmic}

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