The Health Department of the imaginary region Scarlet is preparing contingency plans for a potential pandemic. To ensure efficient allocation of resources, they want to determine:
Which city would serve as the most effective distribution center for medication, minimizing its expected distance to the other cities, thus guaranteeing accessibility to the largest number of other cities in the shortest time.
Which city would serve as the most strategic location for establishing a blockade, in order to minimize the potential spread of infection to other cities within the network?
Considering the graph below, where each node represents a city and the only means of connection between them is via roads represented by the edges, which cities represent the best candidates for these roles?
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