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When an arriving box that joins everything it overlaps covers an open box to the right and below, and starts lower than it, the open box now keeps only its part above the arriving box's top in the sweep's tree. Any later box that would have met the removed part meets the arriving box instead, which is open at least as long and in the same set, so the groups stay the same. A box held by an open box is not opened and cuts nothing short. 512 boxes, each 1 pt right of and below the one before, now meet 511 open boxes in the sweep instead of 130,816, with and without transparency. Staggering right and up in sweep order still meets every earlier open box. The every-pair test oracle skips boxes that aren't finite, as the sweep does.