Question: Given a graph G = ( V , E ) where a set of cities V is connected by a network of roads E .

Given a graph G=(V,E) where a set of cities V is connected by a network of roads E. Each road/edge
has a positive weight, w(u,v) between cities u and v. There is a proposal to add a new road to the
network. The proposal suggests a list C of candidate pairs of cities between which the new road may
be built. Your task is to choose the road that would result in the maximum decrease in the driving
distance between given city s and city t. Design an efficient algorithm for solving this problem (8
points). No proof is required. Give the runtime complexity of your algorithm (2 points).
GIVE DETAILED STEP BY STEP SOLUTION ALONG WITH DETAIL FOR TIME COMPLEXITY
Given a graph G = ( V , E ) where a set of cities

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