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A cohort of K spies resident in a certain country needs escape routes in case of emergency. They will be traveling using the railway system
A cohort of K spies resident in a certain country needs escape routes in case of emergency. They
will be traveling using the railway system which we can think of as a directed graph G V E
with V being the cities and E being the directed railway roads between cities. Each spy i has a
starting city si in V different from the other spies starting cities and needs to reach a consulate
city of any friendly nation; these consulate cities are a known set of cities t tl V of
cardinality l In order to move undetected, the spies agree that at most C of them should ever pass
through any one city of V We are interested in designing an efficient algorithm that computes
paths for each of the spies or detects that the requirements cannot be met
a point Explain how to modify the graph appropriately to create a maxflow instance.
b points What algorithm should you run in the modified graph? What is the running
time of your algorithm in terms of V E
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