The shortest distance a message travels in an n-dimensional hypercube is 1 hop, and the longest distance

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The shortest distance a message travels in an n-dimensional hypercube is 1 hop, and the longest distance a message needs to travel is n hops. Assuming that all possible source/destination pairs are equally likely, is the average distance a message needs to travel larger or smaller than (1 + n)/2? Justify your answer.

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Ali Khawaja

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