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Communications of the ACM

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Cub Cadet robotic mower

Credit: Golfdom

There is one perfectly flexible but unbreakable rope attached to two posts on a large but unkempt lawn. The posts are 1,000 meters apart and the rope is 1,100 meters long. So there is some slack in the rope.

A randomower is a driverless lawn-mower that moves randomly and is able to change direction by an arbitrary angle at any time. Fortunately, it can be clipped to the rope so it will not wander off too far. You are trying to use this random lawnmower to cut at least part of the grass between the posts. Let the rope's zero point be at post A and its end point (1,100 meters away along the rope) at post B.


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