Recursion: The Mirrors

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Presentation transcript:

Recursion: The Mirrors CS 302 Data Structures Recursion: The Mirrors

Recursive Solutions What is recursion? There are two types of recursive functions: Direct and Indirect Explain… There are two basic parts of recursive functions. What are they? They are: Base Case/Stopping Condition Recursive Call.

Example: Factorial of n

fact(3);

void writeBackwards(string s);

binarySearch(anArray: ArrayType, target:ValueType);

Towers of Hanoi

int fibonacci(int n); The sequence What does the code look like? 1, 2, 3, 5, 8, What does the code look like?

Recursion and Eficiency Recursion is a powerful problem solving technique, but.. Two factors contribute to the inefficiency of recursive solutions: The overhead associated with function calls The inherent inefficiency of some recursive algorithms. Principle: Don not use recursion if an efficient iterative solution exits

End of Chapter 2