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Suppose that Q is a queue implemented with a circular array A,  initially empty (with size/capacity = 0). You run the following operations in the order given:1. Q.enqueue(7) 2. Q.enqueue(42) 3. Q.enqueue(3) 4. Q.dequeue()5. Q.enqueue(10)6. Q.first()7. Q.enqueue(5)8. Q.enqueue(30)9. Q.enqueue(15)10. Q.dequeue()11. Q.dequeue()12. Q.dequeue()13. Q.dequeue()14. Q.dequeue()Assuming that insertion and deletion in dynamic arrays use the resizing strategy we have seen during the lectures, describe the entries of the array A after performing the above operations, separating each entry by a comma and no space. If an entry is empty, write "None" (case-sensitive). For example, if the array was [1, 2, None, None], then write "1,2,None,None", omitting the double quotes.

Question

Suppose that Q is a queue implemented with a circular array A,  initially empty (with size/capacity = 0). You run the following operations in the order given:1. Q.enqueue(7) 2. Q.enqueue(42) 3. Q.enqueue(3) 4. Q.dequeue()5. Q.enqueue(10)6. Q.first()7. Q.enqueue(5)8. Q.enqueue(30)9. Q.enqueue(15)10. Q.dequeue()11. Q.dequeue()12. Q.dequeue()13. Q.dequeue()14. Q.dequeue()Assuming that insertion and deletion in dynamic arrays use the resizing strategy we have seen during the lectures, describe the entries of the array A after performing the above operations, separating each entry by a comma and no space. If an entry is empty, write "None" (case-sensitive). For example, if the array was [1, 2, None, None], then write "1,2,None,None", omitting the double quotes.

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Solution

Let's go through the operations one by one:

  1. Q.enqueue(7): The queue is initially empty, so we add 7 to it. The array A becomes [7].
  2. Q.enqueue(42): We add 42 to the queue. The array A becomes [7, 42].
  3. Q.enqueue(3): We add 3 to the queue. The array A becomes [7, 42, 3].
  4. Q.dequeue(): We remove the first element from the queue, which is 7. The array A becomes [None, 42, 3].
  5. Q.enqueue(10): We add 10 to the queue. The array A becomes [None, 42, 3, 10].
  6. Q.first(): This operation doesn't change the array, it just returns the first element in the queue, which is 42.
  7. Q.enqueue(5): We add 5 to the queue. The array A becomes [None, 42, 3, 10, 5].
  8. Q.enqueue(30): We add 30 to the queue. The array A becomes [None, 42, 3, 10, 5, 30].
  9. Q.enqueue(15): We add 15 to the queue. The array A becomes [None, 42, 3, 10, 5, 30, 15].
  10. Q.dequeue(): We remove the first element from the queue, which is 42. The array A becomes [None, None, 3, 10, 5, 30, 15].
  11. Q.dequeue(): We remove the first element from the queue, which is 3. The array A becomes [None, None, None, 10, 5, 30, 15].
  12. Q.dequeue(): We remove the first element from the queue, which is 10. The array A becomes [None, None, None, None, 5, 30, 15].
  13. Q.dequeue(): We remove the first element from the queue, which is 5. The array A becomes [None, None, None, None, None, 30, 15].
  14. Q.dequeue(): We remove the first element from the queue, which is 30. The array A becomes [None, None, None, None, None, None, 15].

So, the final state of the array A after performing all the operations is "None,None,None,None,None,None,15".

This problem has been solved

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