Question: Suppose we are given an undirected weighted graph G = (V, E) modeling the road network betweenn=|V|cities. Specifically,each node vi V represents a city. If

Suppose we are given an undirected weighted graph G = (V, E) modeling the road network betweenn=|V|cities. Specifically,each node vi V represents a city. If there is an edge e=(vi,vj) E, then there is a road between city vi and vj, and the weight weight(e) represents the time it takes to go from city vi to vj on this road. We also refer to each edge in E as one road segment. The total number of road segments (i.e, edges) is m = |E|

(7.a) Given a fixed city vs, suppose Alex wants to travel to only cities that are within k number of road segments. Write the pseudocode of an algorithm that outputs these cities. Give the running time of your algorithm.

(7.b) Given a fixed city vs and a threshold , write the pseudocode of an algorithm that output the set of nodes that are within at most shortest distance away from the source vs. Give the running time of your algorithm.

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