There are m towns in a straight line, with a road joining each pair of consecutive towns. Legends say that an ordinary person in one of these towns will become a hero by completing a sequence of n quests. The first quest will be completed in their home town, but after each quest they may complete their next quest either in the same town or after moving to a neighbouring town. For example, if n = 5 and m = 4, a resident of town 2 may become a hero as follows: • begin in town 2 for quest 1, • then move to town 3 for quest 2, • stay in town 3 for quest 3, • return to town 2 for quest 4, and • move to town 1 for quest 5. Design an algorithm which run

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