To ease coordination with anacron, the invocation of the run-parts for
the /etc/cron.daily, /etc/cron.weekly, and /etc/cron.monthly directories
was changed to the form

test -e /usr/sbin/anacron || run-parts --report /etc/cron.daily

What this means is that if anacron has been installed, it will
be responsible for running those scripts. This is the standard
configuration of anacron: if you simply install both cron and anacron,
things will work as expected.

However, if you have modified your anacron configuration
(/etc/anacrontab), you may need to re-adjust it in order to accommodate
this change.