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11$\begingroup$ This is beautiful. $\endgroup$benblumsmith– benblumsmith2017-06-14 04:39:11 +00:00Commented Jun 14, 2017 at 4:39
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$\begingroup$ I'm glad you did not word this in terms of camels. Parking cars in camels would be a rather counterintuitive metaphor! $\endgroup$darij grinberg– darij grinberg2017-07-01 23:11:35 +00:00Commented Jul 1, 2017 at 23:11
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4$\begingroup$ one could consider parking camels instead of cars. $\endgroup$yael fregier– yael fregier2018-02-27 12:27:56 +00:00Commented Feb 27, 2018 at 12:27
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$\begingroup$ I didn't understand why "Preferences for this augmented lot are encoded as n-tuples taking values as residue classes modulo n+1" and why "The placement of the single unoccupied parking space is equidistributed". $\endgroup$Michael– Michael2019-02-26 23:51:33 +00:00Commented Feb 26, 2019 at 23:51
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1$\begingroup$ @Michael The $n$-tuple encoding of preferences just lists, in order of the $n$ cars' arrivals, the drivers' preferred parking positions. Those positions are numbers between $1$ and $n+1$, but it's better to think of them as residue classes mod $n+1$ because of the "rotational" symmetry of the new parking lot. That is, the whole situation is invariant under adding $1$ mod $n+1$ to all parking positions. Because of this symmetry, every position is left vacant by the same number of preference $n$-tuples. That's what was meant by "equidistributed". $\endgroup$Andreas Blass– Andreas Blass2019-12-31 22:28:54 +00:00Commented Dec 31, 2019 at 22:28
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