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What is the weakness shared by iterative deepening A star and recursive best first search?

  • A.They regenerate nodes many times because they remember too little
  • B.They cannot guarantee optimality even with an admissible heuristic
  • C.They require more memory than A star on most problems
  • D.They cannot be applied to problems with cycles in the state space

Answer: A

Both use linear memory and therefore forget almost everything, so a node may be regenerated many times over. Algorithms that use whatever memory is available, such as the bounded memory variants, sit between the extremes. Both are optimal with an admissible heuristic, both use far less memory than A star, and cycles are handled by ordinary means. The tension between remembering to avoid rework and forgetting to save memory is the organising theme of the whole family.

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