South Korea is a good example of widespread, early testing and heightened vigilance in reporting symptoms -- the country's health ministry has rolled out a smartphone app that asks citizens to do a daily check of their symptoms, and to notify local health officials if necessary.
The South Korean city of Goyang has even set up a drive-through coronavirus testing site: people drive into a parking lot, where health workers in hazmat suits register drivers, check their temperatures, and take samples.
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Drivers go through the entire testing process in a matter of minutes without ever getting out of their cars -- making it easy for more people to get tested quickly, as well as protecting healthcare workers from exposure to the virus.
These kinds of measures allow authorities to quarantine patients and the people they have been in contact with, thus containing the virus quickly, rather than allow it to spread with untested infected people in the community.