3 [Figure 1, printed on the insert, is provided for use in this question.]
The diagram shows roads connecting some places of interest in Berlin. The numbers represent the times taken, in minutes, to walk along the roads.
\includegraphics[max width=\textwidth, alt={}, center]{6360ed01-76da-4265-8bc8-53ffe391704e-4_1427_1404_502_319}
The total of all walking times is 167 minutes.
- Mia is staying at \(D\) and is to visit \(H\).
- Use Dijkstra's algorithm on Figure 1 to find the minimum time to walk from \(D\) to \(H\).
- Write down the corresponding route.
- Each day, Leon has to deliver leaflets along all of the roads. He must start and finish at \(A\).
- Use your answer to part (a) to write down the shortest walking time from \(D\) to \(A\).
- Find the walking time of an optimum Chinese Postman route for Leon. (6 marks)