  The random sequential adsorption (RSA) of identical elongated particles
(discorectangles) on a line ("Paris car parking problem") was studied
numerically. An off-lattice model with continuous positional and orientational
degrees of freedom was considered. The possible orientations of the
discorectanles were restricted between $\theta \in [-\theta_\text{m};
\theta_\text{m}]$ while the aspect ratio (length-to-width ratio) for the
discorectangles was varied within the range $\varepsilon \in [1;100]$.
Additionally, the limiting case $\varepsilon=\infty$ (i.e., widthless sticks)
was considered. We observed, that the RSA deposition for the problem under
consideration was governed by the formation of rarefied holes (containing
particles oriented along a line) surrounded by comparatively dense stacks
(filled with almost parallel particles oriented in the vertical direction). The
kinetics of the changes of the order parameter, and the packing density are
discussed. Partial ordering of the discorectangles significantly affected the
packing density at the jamming state, $\varphi_\text{j}$, and shifted the cusps
in the $\varphi_\text{j}(\varepsilon)$ dependencies. This can be explained by
the effects on the competition between the particles' orientational degrees of
freedom and the excluded volume effects.
