A man, initially placed at the center of a circle, wants to escape from the
circle. Unfortunately, the circle is guarded by a vicious dog, who would eat
the man. Fortunately, the dog is constrained to stay on the periphery of the
circle. The dog can run up to 4 times the speed of the man, and change
direction instantaneously at any time.
Can the man escape from the circle? If so, how?
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