4 [Figure 2, printed on the insert, is provided for use in this question.]
The network shows 11 towns. The times, in minutes, to travel between pairs of towns are indicated on the edges.
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The total of all of the times is 308 minutes.
- Use Dijkstra's algorithm on Figure 2 to find the minimum time to travel from \(A\) to \(K\).
- State the corresponding route.
- Find the length of an optimum Chinese postman route around the network, starting and finishing at \(A\). (The minimum time to travel from \(D\) to \(H\) is 40 minutes.)