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Two Clocks (464)
Instruction:
A 24-hour digital display can show any time between 00:00 and 23:59, inclusive.
Two digital clocks have been wired to one such display. Both clocks are going at the same pace but they are set to different times. The display now shows both times, one over another: a segment on the display is lit if at least one of the two displayed times uses that segment.
In each puzzle, you have a different pair of clocks. You are given several snapshots of the display, each taken at a different moment in time. Determine the difference between the times shown on the two clocks. (This difference is the same in each snapshot.) As the solution, express the difference in the form HH:MM, with the value being between 00:01 and 12:00, inclusive.
Reference: WPC 2016 (65)