There are N plots arranged in a sequence 1..N. As time goes by, these plots are sold, one at a time. Periodically, you have to report the longest unsold segment of plots.

For instance, if N = 15 and you get the instructions

sell(3) sell(8) sell(7) sell(15) report()

the answer is 6, which is the length of the empty interval [9,14].

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