Data Structures | Queue | Question 10

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 MultiDequeue() operations on an initially empty queue? (GATE CS 2013)
(A) \Theta(n)
(B) \Theta(n + k)
(C) \Theta(nk)
(D) \Theta(n^2)

(A) A
(B) B
(C) C
(D) D


Answer: (A)

Explanation: Since the queue is empty initially, the condition of while loop never becomes true. So the time complexity is \Theta(n).

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