Professor Canty conjectures that there might exist some ei, ai,j, and ti,j values for which FASTEST-WAY produces

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Professor Canty conjectures that there might exist some ei, ai,j, and ti,j values for which FASTEST-WAY produces li[j] values such that l1[j] = 2 and l2[j] = 1 for some station number j. Assuming that all transfer costs ti, j are nonnegative, show that the professor is wrong.
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