# 15 - CMPSCI 187 Programming With Data Structures Lecture#15...

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CMPSCI 187: Programming With Data Structures Lecture #15: Implementing Queues 12 October 2011

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Implementation of Queues • Linked List Implementation • Circular Array Implementation • Modular Arithmetic • The Java Queue Classes
• We want to be able to add elements to the queue (with enqueue ), remove and return the element of the queue that has been there longest (with dequeue ), look at that longest-present element without removing it (with first ), test whether the queue is empty (with isEmpty ), and return how many elements are in the queue (with size ). • The only kind of exception we want to throw from these methods is an EmptyCollectionException , in the case where we try to dequeue or look at the Frst element and the queue is empty. • L&C’s QueueADT interface also includes the toString method. This isn’t fundamental to the operation of the queue, but it’s a useful reminder that wherever we put the data in our implementation, we must be able to Fnd it. • Naturally toString is going to take O(n) time on a queue of n elements, but we we would like the other operations to take only O(1) time.

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The Linked List Implementation • As with the stack, we can reasonably hope for O(1) implementations of all Fve basic methods, counting on the ±exibility of linked lists to avoid the need for time-consuming resizing. • Our basic linear linked list of LinearNode objects has a start, which we’ll now call the front , from which we can reach all the nodes in the list by following next pointers. But we need to take actions at both ends of the list, so we will also keep a pointer to the
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15 - CMPSCI 187 Programming With Data Structures Lecture#15...

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