Is it feasible to use Binary Search in O(log n) on a JavaScript Array to identify a single duplicate element?
// Here is an example
// Input: var arr = [1, 3, 4, 4, 6, 9, 11, 12, 14]
// Output: 4
I am familiar with the linear time solution for this problem. However, I am currently experimenting with a potential O(log n) solution. My challenge lies in figuring out how to reduce the chunk of the array to be searched at each iteration. Any suggestions or guidance would be appreciated!
When utilizing binary search, it is crucial to already have knowledge of the element you are searching for. Specifically, being able to determine which half of the array it resides in once a pivot point has been selected.
From what I gather from your question, it appears that you do not possess this essential information. Therefore, at present, the optimal time complexity you can achieve is O(n).
If there were additional details provided, such as all numbers within a given range except one or the duplicate existing within a specific interval, a more efficient solution could potentially be implemented.
However, based on the current data available, that does not seem to be the scenario.
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