3 The following network shows the lengths, in miles, of roads connecting nine villages, \(A , B , \ldots , I\).
A delivery man lives in village \(A\) and is to drive along all the roads at least once before returning to \(A\).
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- Find the length of an optimal Chinese postman route around the nine villages, starting and finishing at \(A\).
- For an optimal Chinese postman route corresponding to your answer in part (a), state:
- the number of times village \(E\) would be visited;
- the number of times village \(I\) would be visited.