I agree with wanted to blanket the country in tests, but you don't need 1000 tests to do contact tracing for one person, even normally, let alone during social distancing.
You don't need to test people every day for 14 days.
You do because as soon as that person is confirmed positive, then you need to contact trace and quarantine that person's contacts. Every day that goes between a confirmed positive and a contact trace, the more that person's contacts are walking around, spreading it asymptomatically and making the cluster even more out of control.