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11 September, 21:30

Recall that within the ArrayBoundedQueue the front variable and the rear variable hold the indices of the elements array where the current front and rear elements, respectively, of the queue are stored. Which of the following code sequences could be used to correctly enqueue element into the queue, assuming that enqueue is called on a non-full queue and that the code also correctly increments numElements

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  1. 11 September, 22:30
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    int n = elements. length;

    if (rear < n) {

    rear = (rear + 1) % n;

    elements[rear] = element;

    rear = rear + 1;

    }

    Explanation:

    Options are not made available; However, I'll answer the question base on the following assumptions.

    Assumptions

    Array name = elements

    The front and the rear variable hold the current indices elements

    Element to enqueue is "element" without the quotes

    To enqueue means to add an element to an already existing queue or to a new queue.

    But first, the queue needs to be checked if it can accept a new element or not; in other words, if it's full or not

    To do this, we check: if rear < the length of the queue

    If this statement is true then it means the array can accept a new element; the new element will be stored at elements[rear] and the rear will be icremented by 1 rear by 1

    Else if the statement is false, then an overflow is said to have occurred and the element will not be added.

    Going by the above explanation, we have

    int n = elements. length;

    if (rear < n) {

    rear = (rear + 1) % n;

    elements[rear] = element;

    rear = rear + 1;

    }

    Additional explanation:

    The first line calculates the length of the queue

    The if condition on line 2 tests if the array can still accept an element or not

    Let's assume this statement is true, then we move to liine 3

    Line 3 determines the new position of rear.

    Let's assume that n = 6 and current rear is 4.

    Line 3 will produce the following result;

    rear = (rear + 1) % n;

    rear = (4 + 1) % 6

    rear = 5%6

    rear = 5.

    So, the new element will be added at the 5th index

    Then line 4 will be equivalent to:

    elements[rear] = element;

    elements[5] = element;

    Meaning that the new element will be enqueued at the 5th index.

    Lastly, rear is incremented by 1 to denote the new position where new element can be added.
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