5 The network on the page opposite shows the times, in minutes, taken by police cars to drive along roads connecting 12 places, \(A , B , \ldots , L\).
On a particular day, there are three police cars in the area at \(A , E\) and \(J\). There is an emergency at \(G\) and all three police cars drive to \(G\).
- Use Dijkstra's algorithm on the network, starting from \(\boldsymbol { G }\), to find the minimum driving time for each of the police cars to arrive at \(G\).
- For each of the police cars, write down the route corresponding to the minimum driving time in your answer to part (a)(i).
- Each day, a police car has to drive along each road at least once, starting and finishing at \(A\).
For an optimal Chinese postman route:
- find the driving time for the police car;
- state the number of times that the vertex \(B\) would appear.
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