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Iterative deepening regenerates upper levels. What is the overhead factor for b = 10?

  • A.About 2.0
  • B.About 10
  • C.About 0.11
  • D.About 1.11

Answer: D

Summing the repeated generations gives a ratio of b over b minus one:

\[ \tfrac{10}{9} \approx 1.11 \]

so the total work is about 1.11 times that of a single breadth first pass, an overhead of eleven per cent. For a branching factor of two it rises to a factor of two, which is why the argument is weakest for narrow trees. Doing the arithmetic rather than trusting the intuition that repetition must be expensive is the lesson here.

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