Binary search cannot achieve O(log n) time complexity on linked lists because linked lists lack random access capability, requiring O(n) time complexity for searching any element regardless of whether the list is sorted or unsorted.
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How to Implement Binary Search In Data Structure #PW #ShortsAñadido:
And let's say not to find the middle element, but to find any other element, what would be the best case complexity and the worst case complexity on a sorted linked list? In linked list, whether it's sorted or not sorted, uh the complexity would be order of n.
Okay, why so?
Uh because there are one algorithm called binary search, which takes order of log n. But to implement binary search, we need somewhat of random access in in the in the particular data structure, but linked list can't provide us the random access. So, if even if we implement the binary search somehow in linked list, it would still take order of n.
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