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What is the relationship between uniform cost search and A star?

  • A.A star is uniform cost search run in both directions at once
  • B.Uniform cost is A star with an inadmissible heuristic
  • C.The two are identical for problems with unit step costs
  • D.A star adds a heuristic estimate to the path cost ordering

Answer: D

Both order the frontier by a cost, and A star uses the path cost so far plus an estimate of the cost remaining, so uniform cost is the special case where that estimate is always zero. Recognising the relationship shows why A star inherits uniform cost's optimality when the heuristic is admissible. Bidirectionality and inadmissibility are separate variations, and the two are not identical for unit costs. Seeing one algorithm as a special case of another organises the whole family.

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