Algorithms · Asymptotic Analysis
Official IIT answer key · IIT Bombay · Audited Aug 2026
GATE CSE 2013 Q44 · MCQ · 2 marks
MultiDequeue (Q) {
m = k
while (Q is not empty) and (m > 0) {
Dequeue(Q)
m = m - 1
}
}
What is the worst case time complexity of a sequence of n queue operations on an initially empty queue?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 →Consider the following operation along with Enqueue and Dequeue operations on queues, where k is a global parameter. MultiDequeue (Q) m = k while (Q is not empty) and (m > 0) Dequeue(Q) m = m - 1 What is the worst case time complexity of a sequence of n queue operations on an initially empty queue?
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