Computer science
You do not need to implement this, just describe the algorithm.
a) Assume you have a robot with a light sensor and you want it to follow a trace (i.e. line) on the ground drawn with a thick marker. Design 2 different algorithms to follow this line and compare their efficiency. (The problem is a search one – if the line bends you need to find it again). Describe/draw/illustrate some worst, or at least bad cases and best case scenarios for your algorithms.
b) Consider the same problem but in 3 dimensions, e.g. a radar array (which produces something like a cone) searching through a sphere around an aircraft looking for incoming missiles or other aircraft.
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