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Exponential Search - Technical Overview

1. Algorithm Description: Exponential Search is an algorithm that finds the range where the target element may exist and performs a binary search within that range.

2. Steps of Exponential Search:

• Start by checking the first element.
• Exponentially increase the search range (1, 2, 4, 8, ...).
• Once the range is found, perform a binary search within that range.
• If the target is found, return its index; otherwise, return -1.

3. Time Complexity: O(log i), where i is the index of the target element (if present) and O(log n) for the binary search.

4. Space Complexity: O(1), as it operates in-place.

5. Stability: Exponential Search is not a stable search algorithm.

6. Usage: Useful for unbounded or infinite lists, or when searching in sorted arrays.