Machine-translated by Google. Questions are authored in English.
Top

Discussion

Why can repeated states make tree search exponentially worse?

  • A.Repeated states cause the goal test to return the wrong answer
  • B.The path cost becomes ambiguous when a state appears twice
  • C.The algorithm cannot terminate once a state has been repeated
  • D.The same state is expanded again by every path that reaches it

Answer: D

In a grid where each state has several routes to it, a tree search expands the same subtree once for every distinct path, turning a polynomial state space into an exponential search tree. The explored set collapses that to one expansion per state. Goal testing and cost remain correct, and termination fails only with genuine loops. The distinction between the size of a state space and the size of the tree over it is one of the most consequential in the subject.

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.