GATE DA 2025 Set 1 — Question 27
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Programming, Data Structures & Algorithms → Complexity Analysis → Binary Search
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Question
For which of the following inputs does binary search take time in the worst case?
Correct answer
(C) An array of n integers in increasing order
Solution
Binary search requires random access to elements (to access the middle element in time) and the data must be sorted.
(A) An unsorted array does not support binary search.
(B) A linked list does not support random access; accessing the middle element takes , making binary search .
(C) A sorted array supports random access and is sorted, allowing binary search in .
(D) A sorted linked list does not support random access, so binary search would take .
(A) An unsorted array does not support binary search.
(B) A linked list does not support random access; accessing the middle element takes , making binary search .
(C) A sorted array supports random access and is sorted, allowing binary search in .
(D) A sorted linked list does not support random access, so binary search would take .
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