Recursive Solutions and Binary Search Quiz

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Questions and Answers

What is the purpose of the base case in a recursive solution?

  • Terminate the recursive processing (correct)
  • Generate the terms in a sequence
  • Select the pivot item
  • Manage local variables

Why is a divide-and-conquer strategy used in binary search?

  • To efficiently search through and divide the data (correct)
  • To compute the same values over and over
  • To determine the pivot item
  • To perform sequential searches

What is a recurrence relation used for?

  • Selecting the pivot item
  • Generating terms in a sequence (correct)
  • Terminating recursive processing
  • Managing local environment

Why is computing the Fibonacci sequence recursively considered problematic?

<p>Computing the same values repeatedly (D)</p> Signup and view all the answers

What does each box in a box trace roughly correspond to?

<p>Activation record (C)</p> Signup and view all the answers

What is NOT contained in each box in a box trace?

<p>The function's execution time (D)</p> Signup and view all the answers

What event triggers the creation of a new box in the box trace for a recursive function?

<p>The function is called (C)</p> Signup and view all the answers

What happens if a recursive function never reaches a base case?

<p>An infinite sequence of recursive calls occurs (A)</p> Signup and view all the answers

In a recursive method that writes a string of characters in reverse order, what defines the base case?

<p>A string with a length of 0 (C)</p> Signup and view all the answers

What is a precondition for a method that computes the nth Fibonacci number?

<p>n is a positive integer (A)</p> Signup and view all the answers

How many base cases does a recursive binary search of a sorted array have?

<p>2 (D)</p> Signup and view all the answers

When solving a problem by breaking it into smaller problems, how should the smaller problems be related to the base case?

<p>Closer to (A)</p> Signup and view all the answers

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