In the sport of orienteering, contestants (``orienteers'') are given a list of locations on a map (``points'') that they need to visit. Orienteering courses are typically set up in natural areas such as forests or parks. The goal is to visit each point and return to the starting location as quickly as possible. Suppose that an orienteer's estimates of the time it will take her between each pair of points are given in Table 8.8. Find the tour that minimizes the orienteer's time to negotiate the course.

Table 8.8