A detective is searching for clues in a mansion and uses depth-first search(DFS) to investigate every room, he always moves to the next available door in alphabetical order. The mansion layout is: the Entrance has doors to the Ballroom and the Library. The Ballroom leads to the kitchen. The Kitchen leads to the Study and the Dining Room. The Library leads to the Observatory. The Dining Room, Study and Observatory don't lead to any relevant rooms. Which sequence correctly describes the detective's DFS walkthrough? a) Entrance → Ballroom → Kitchen → Dining Room → Study → Library → Observatory b) Entrance → Ballroom → Library → Kitchen → Dining Room → Study → Observatory c) Entrance → Ballroom → Kitchen → Dining Room → Library → Observatory → Study d) Entrance → Library → Observatory → Ballroom → Kitchen → Dining Room → Study e) None of the above.
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A group of male friends wishes to elect a “group leader,” defined as the individual whom all others must follow for the day. Each friend casts exactly two vote for another member of the group. The election proceeds as follows: The individual receiving the highest number of votes is declared the winner. In the event of a tie, compare their clustering coefficients. The tied candidate with the smaller clustering coefficient is declared the winner, on the reasoning that if their supporters are not connected to one another, their “loyalty” is more securely independent. Although votes are inherently directed, the group mistakenly treated votes as a single undirected connection. Given the voting graph below, determine the winner of this entirely serious democratic exercise. The winner is: A. Don B. Bob C. Matt D. Neal E. None of the above