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In a recursive implementation of binary search, what is the base case?

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Question: In a recursive implementation of binary search, what is the base case?

Options:

  1. When the array is empty
  2. When the target is found
  3. When the left index exceeds the right index
  4. When the mid index is zero

Correct Answer: When the left index exceeds the right index

Solution:

The base case for recursion in binary search is when the left index exceeds the right index, indicating the target is not found.

In a recursive implementation of binary search, what is the base case?

Practice Questions

Q1
In a recursive implementation of binary search, what is the base case?
  1. When the array is empty
  2. When the target is found
  3. When the left index exceeds the right index
  4. When the mid index is zero

Questions & Step-by-Step Solutions

In a recursive implementation of binary search, what is the base case?
  • Step 1: Understand that binary search is a method to find a target value in a sorted array.
  • Step 2: In a recursive function, we keep dividing the array into halves.
  • Step 3: We use two indices: 'left' (the start of the current search range) and 'right' (the end of the current search range).
  • Step 4: The base case is a condition that stops the recursion. For binary search, this happens when 'left' is greater than 'right'.
  • Step 5: When 'left' > 'right', it means the target value is not in the array, and we should stop searching.
  • Base Case in Recursion – The condition under which the recursive function stops calling itself, crucial for preventing infinite recursion.
  • Binary Search Algorithm – A search algorithm that finds the position of a target value within a sorted array by repeatedly dividing the search interval in half.
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