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Circular Queue Basics: A circular queue is a linear data structure where the last position is connected back to the first, forming a circle. It efficiently utilizes memory by reusing vacant spaces left by dequeued elements. The condition for a full circular queue is: (rear+1)%size==front This formula ensures that when the next position of the rear pointer wraps around and overlaps with the front pointer, the queue is deemed full. This avoids overwriting existing data and maintains proper queue functionality. Why Other Options Are Incorrect: A) A circular queue cannot be implemented using an array: This is incorrect because a circular queue can be implemented using an array by applying modular arithmetic to manage the circular behavior of indices. B) The "front" pointer always moves forward by one position after a dequeue operation: While the "front" pointer typically moves forward by one position, it does so in a circular fashion using the formula: front=(front+1)% size If the queue is empty after a dequeue, the front pointer may remain unchanged or reset. C) The condition for an empty circular queue is rear == front: This is incorrect because the initial condition for an empty queue is rear == front. However, after operations, additional flags or conventions (like initializing front and rear to -1) might be used to distinguish between full and empty states. E) A circular queue does not require a size limit: This is incorrect as circular queues do require a size limit to determine the total number of elements that can be stored. The size is critical for modular arithmetic and managing overflow.
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(I) Dismissing him
(II) Having lost
(III) Losing his