You could also have "zero homeless" if you had a certain amount of cheap housing that even drug addicts and mentally ill people could afford. Or where the cost of helping them is not too much.
Like some housing that was built to be closer to "indestructible" than "nice" and was small, like 200 - 300 sq ft.
If it’s not in the city centre it will remain empty and if it is it will already be full