Visit period vs parking spot experiment
Init:
Randomize period init (.1%):, Randomize period sampling (.1%):, Always wait 1:
Speed:

Histogram of who's occupying position: 0

Average position:

Where does car # 0 park:

Cars visit the parking spot with different periods and they park to the earliest spot possible.

Surprising results:
In linear, 4 appears earlier than 3.
In 1-2, average positions are ~same even though spot 0 is mostly occupied by 1s
In binomial 2, 4, 6... behaviors are completely different
Solo average is always better for both .1 and 10 !!
Histograms for 3 people solo have interesting numbers