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Every day was scheduled from nothing, so a booking that runs into the next day ended at midnight as far as the chain was concerned. Check in at 08:00 and out at 08:00 the next day, and the rail was happy to put you somewhere else at 07:00 that morning, with no sign that the room was still yours. The day a check-out falls in now starts at the check-out rather than at nothing. A floor, never a move: a stop with a clock of its own keeps it and collects the late finding any leg it cannot make in time would give it, so a plan that says 07:00 still says 07:00 and merely admits it does not add up. A stop with no clock starts at the check-out instead of having no time at all. Only that one day. A stay running Monday to Thursday leaves Tuesday and Wednesday alone, because you sleep there, you do not sit there. The departure chip takes the door-out mark instead of a clock face. Beside an arrival time, a second clock read as a second arrival.