Algorithms · Asymptotic Analysis
Official IIT answer key · IISc Bangalore · Audited Aug 2026
GATE CSE 2024 Set 1 Q17 · MCQ · 1 mark
Key concept
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Topic notes
Across GATE CS exam papers, asymptotic complexity is evaluated through rigorous mathematical analysis and algorithmic code inspection. Questions consistently focus on solving recurrence relations (using the Master Theorem, Akra-Bazzi, recursion trees, and variable substitution), ranking growth rates of non-trivial functions (including log-log, oscillating, and super-polynomial forms), and calculating the exact operation counts of nested loops and multi-step data structure operations. The evaluation spans both conceptual formal definitions (O, , , o, ) and practical application to standard algorithmic procedures.
Full Asymptotic Analysis guide →Given an integer array of size N, we want to check if the array is sorted (in either ascending or descending order). An algorithm solves this problem by making a single pass through the array and comparing each element of the array only with its adjacent elements. The worst-case time complexity of this algorithm is
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