Question: Consider an undirected connected graph G = (V, E) with n nodes and m edges; define a special source node s V in the

Consider an undirected connected graph G = (V, E) with n nodes and m edges; define a special source node s E

Consider an undirected connected graph G = (V, E) with n nodes and m edges; define a special source node s V in the graph G. Describe a data structure which can achieve the following: the data structure can be constructed in O(n +m) worst-case time; the space consumption of the data structure (excluding the graph G) is O(n) in the worst case; for any query node q E V other than s, it can report the shortest distance between s and q in the graph G in O(1) worst-case time, where the shortest distance between s and q is defined as the length, (i.e., the number of edges) of the shortest path from s to q in G. You will need to justify the above complexities of your algorithm with appropriate analysis. [1 mark for data structure and the algorithm, and 1 mark for the analysis] Activate Windows

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