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What is the route finding problem as a search problem?

  • A.States are map coordinates and actions are compass bearings
  • B.States are locations, actions are roads and cost is distance
  • C.States are roads, actions are junctions and cost is time
  • D.States are journeys and actions are choices of destination

Answer: B

Formulating locations as states, the roads between them as actions and the distance or time as the step cost makes route finding a uniform cost search problem directly. The other formulations either invert the roles or introduce a continuum where a discrete graph suffices. Choosing what counts as a state is the first and most consequential modelling decision in any search problem, and a natural choice usually makes the rest straightforward. Framing the question as which quantity the change acts upon makes the answer follow without calculation.

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