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What modification is needed to perform binary search on a rotated sorted array?

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Question: What modification is needed to perform binary search on a rotated sorted array?

Options:

  1. No modification needed
  2. Use linear search
  3. Modify the mid-point calculation
  4. Use a different algorithm

Correct Answer: Modify the mid-point calculation

Solution:

To perform binary search on a rotated sorted array, the mid-point calculation must be adjusted to account for the rotation.

What modification is needed to perform binary search on a rotated sorted array?

Practice Questions

Q1
What modification is needed to perform binary search on a rotated sorted array?
  1. No modification needed
  2. Use linear search
  3. Modify the mid-point calculation
  4. Use a different algorithm

Questions & Step-by-Step Solutions

What modification is needed to perform binary search on a rotated sorted array?
  • Step 1: Understand that a rotated sorted array is an array that was originally sorted but then rotated at some pivot point.
  • Step 2: Identify the left and right pointers to define the search range in the array.
  • Step 3: Calculate the mid-point using the formula: mid = left + (right - left) / 2.
  • Step 4: Check if the mid-point value is equal to the target value. If it is, return the mid-point index.
  • Step 5: Determine which side of the array is sorted by comparing the values at the left, mid, and right pointers.
  • Step 6: If the left side is sorted, check if the target value lies within this range. If it does, adjust the right pointer to mid - 1. If not, adjust the left pointer to mid + 1.
  • Step 7: If the right side is sorted, check if the target value lies within this range. If it does, adjust the left pointer to mid + 1. If not, adjust the right pointer to mid - 1.
  • Step 8: Repeat steps 3 to 7 until the target value is found or the left pointer exceeds the right pointer.
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