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Q2(a) Given a circular queue with capacity of 9 elements. Show what the contents of the array will be after the specified sequence of enqueue and dequeue operations and show that where the front and rear indices will point. [1.5+1.5 Marks] (a.1) Let us assume that it is array-based, then after performing following operation show the intermediate and final items present in the array? int i; for (i = 1; i <= 9; ++i) enqueue (i); for (i = 1; i <= 5; ++i) { enqueue (dequeue()); dequeue(); } (a.2) Do not start from scratch to build the queue here; continue the following operations on the queue you have created in part (a.1) above. enqueue (10); enqueue (11); dequeue(); dequeue(); enqueue (12); Show the contents of array after each step?

Question

Q2(a) Given a circular queue with capacity of 9 elements. Show what the contents of the array will be after the specified sequence of enqueue and dequeue operations and show that where the front and rear indices will point. [1.5+1.5 Marks] (a.1) Let us assume that it is array-based, then after performing following operation show the intermediate and final items present in the array? int i; for (i = 1; i <= 9; ++i) enqueue (i); for (i = 1; i <= 5; ++i) { enqueue (dequeue()); dequeue(); } (a.2) Do not start from scratch to build the queue here; continue the following operations on the queue you have created in part (a.1) above. enqueue (10); enqueue (11); dequeue(); dequeue(); enqueue (12); Show the contents of array after each step?

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Solution

(a.1)

Step 1: Initialize the queue with capacity 9. The front and rear indices are both at 0.

Step 2: Enqueue numbers 1 through 9. The queue now looks like this: [1, 2, 3, 4, 5, 6, 7, 8, 9]. The front index is at 0 (pointing to 1) and the rear index is at 8 (pointing to 9).

Step 3: Perform the operations in the second loop.

  • First iteration: Enqueue the result of dequeue (which is 1), then dequeue again (removing 2). The queue is now: [1, 3, 4, 5, 6, 7, 8, 9, 1]. The front index is at 1 (pointing to 3) and the rear index is at 8 (pointing to 1).
  • Repeat this process 4 more times. The queue becomes: [7, 8, 9, 1, 3, 4, 5, 6, 7]. The front index is at 5 (pointing to 4) and the rear index is at 4 (pointing to 3).

(a.2)

Step 1: Enqueue 10. The queue is now: [7, 8, 9, 10, 3, 4, 5, 6, 7]. The front index is at 5 (pointing to 4) and the rear index is at 3 (pointing to 10).

Step 2: Enqueue 11. The queue is now: [7, 8, 9, 10, 11, 4, 5, 6, 7]. The front index is at 5 (pointing to 4) and the rear index is at 4 (pointing to 11).

Step 3: Dequeue twice. The queue is now: [7, 8, 9, 10, 11, 6, 7, 8, 9]. The front index is at 7 (pointing to 8) and the rear index is at 4 (pointing to 11).

Step 4: Enqueue 12. The queue is now: [7, 8, 9, 10, 11, 12, 7, 8, 9]. The front index is at 7 (pointing to 8) and the rear index is at 5 (pointing to 12).

This problem has been solved

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