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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 queue operations on an initially empty queue?

1. Θ(n)
2. Θ(n + k)
3. Θ(nk)
4. Θ(n²)

Correct answer: Θ(n)

Solution

The worst-case time complexity is Θ(n) because each Dequeue operation takes constant time, and even if MultiDequeue attempts to dequeue up to k elements, it will only process as many elements as are present in the queue, which is n in total.

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