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If we have not maintained size variable in the circular queue(implemented using arrays) then how can we calculate the size of the queue.front: index of the front element.rear: index of the last element. a) size = rear - front +1b) size = size of array - (front - rear) + 1

Question

If we have not maintained size variable in the circular queue(implemented using arrays) then how can we calculate the size of the queue.front: index of the front element.rear: index of the last element. a) size = rear - front +1b) size = size of array - (front - rear) + 1

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Solution

The size of a circular queue (implemented using arrays) without a maintained size variable can be calculated using the indices of the front and rear elements. However, the calculation differs based on whether the rear index is greater than or less than the front index.

  1. If the rear index is greater than the front index, the size of the queue can be calculated as:

    size = rear - front + 1

    This is because the elements in the queue are located in a continuous block from the front index to the rear index.

  2. If the rear index is less than the front index, the size of the queue can be calculated as:

    size = size of array - (front - rear) + 1

    This is because the elements in the queue wrap around from the end of the array to the beginning. The size is the total size of the array minus the unused space between the rear and front indices, plus 1 to include the rear element itself.

Please note that these calculations assume that the front and rear indices are updated correctly when elements are added or removed from the queue. Also, the indices are assumed to be 0-based. If they are 1-based, you would need to adjust the calculations accordingly.

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