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Problem Solving with Algorithms and Data Structures using Java: The Interactive Edition

Section 4.13 Summary

In this chapter we have looked at examples of several recursive algorithms. These algorithms were chosen to expose you to several different problems where recursion is an effective problem-solving technique. The key points to remember from this chapter are as follows:
  • All recursive algorithms must have a base case.
  • A recursive algorithm must change its state and make progress toward the base case.
  • A recursive algorithm must call itself (recursively).
  • Recursion can take the place of iteration in some cases.
  • Recursive algorithms often map very naturally to a formal expression of the problem you are trying to solve.
  • Recursion is not always the answer. Sometimes a recursive solution may be more computationally expensive than an alternative algorithm.
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