In a circular queue of size 7 if front index=5 and rear index =3 then ___ enqueue operations has been performed.
Question
In a circular queue of size 7 if front index=5 and rear index =3 then ___ enqueue operations has been performed.
Solution
To solve this problem, we need to understand how a circular queue works. A circular queue is a type of data structure that uses a single, fixed-size buffer as if it were connected end-to-end. This structure operates as a FIFO (First In, First Out) data structure.
In a circular queue, the position of the next element is calculated by (rear + 1) % size_of_queue. The position of the first element is calculated by (front + 1) % size_of_queue.
Given that the size of the queue is 7, the front index is 5 and the rear index is 3, we can calculate the number of enqueue operations as follows:
- If rear >= front: Number of enqueue operations = rear - front + 1
- If rear < front: Number of enqueue operations = rear + (size_of_queue - front) + 1
In this case, the rear index is less than the front index, so we use the second formula:
Number of enqueue operations = 3 + (7 - 5) + 1 = 6
So, 6 enqueue operations have been performed.
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