GATE | GATE CS Mock 2018 | Question 57

Given A, an array of size n, comprised of an increasing sequence of numbers followed immediately by a decreasing one. What is worst case time complexity of optimal algorithm to determine if a given number x is in the array?
(A) Θ(log n)
(B) Θ(n)
(C) Θ(n^2)
(D) Θ(log n)^2

Answer: (A)

Explanation: This is an application of Binary search, which has time complexity Θ(log n) in worst case.
Option (A) is correct.

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