Puzzle time
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No we’re not. I graphed out the sum of lightbulbs that were on in each state change (every toggle changes the sum by +-1) so it moves around in a jerky continuous fashion). That formed a narrow bell curve.
When I say early ones, I did it to the completion of the cycle, or even multiple cycles for smaller n. I did also graph them for n=100 but just for the first few million ticks.
