A policeman has to patrol on foot the streets of the subdivision shown in Fig. 61. The

Chapter 5, Problem 65

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A policeman has to patrol on foot the streets of the subdivision shown in Fig. 61. The policeman needs to start his route at the police station, located at X, and end the route at the local coffee shop, located at Y. He needs to cover each block of the subdivision at least once, but he wants to make his route as efficient as possible and duplicate the fewest possible number of blocks. (a) How many blocks will he have to duplicate in an optimal trip through the subdivision? (b) Describe an optimal trip through the subdivision. Label the edges 1, 2, 3, and so on in the order the policeman would travel them.

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