During our conversation about Stacks, Queues. and Deques, we talked about the circular array implementation of a queue. 1. Why didn't we need a circular array implementation of a stack? What quality, specifically, does a queue have that led to a need for the circular array implementation? (You need to be specific here, bu it shouldn't require more than a sentence of two to answer this.) 2. You've seen that the dynamically-allocated array underlying a std::vector is resized periodically. Propose an algorithm for resizing the array used in the circular array implementation of a queue when it comes time to enqueue an element and the array is full. How much larger is your new array? How do the contents of your queue look different than before? 3. Assuming your algorithm was used to solve the problem of resizing the array when it's full, what is the amortized running time of the enqueue operation? (You may want to refer back to the Amortized Analysis lecture while vou consider this.)

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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During our conversation about Stacks, Queues, and Deques, we talked about the circular array implementation of a queue.
1. Why didn't we need a circular array implementation of a stack? What quality, specifically, does a queue have that led to a need for the circular array implementation? (You need to be specific here, but
shouldn't require more than a sentence of two to answer this.)
2. You've seen that the dynamically-allocated array underlying a std::vector is resized periodically. Propose an algorithm for resizing the array used in the circular array implementation of a queue when
it comes time to enqueue an element and the array is full. How much larger is your new array? How do the contents of your queue look different than before?
3. Assuming your algorithm was used to solve the problem of resizing the array when it's full, what is the amortized running time of the enqueue operation? (You may want to refer back to the Amortized
Analysis lecture while you consider this.)
Transcribed Image Text:During our conversation about Stacks, Queues, and Deques, we talked about the circular array implementation of a queue. 1. Why didn't we need a circular array implementation of a stack? What quality, specifically, does a queue have that led to a need for the circular array implementation? (You need to be specific here, but shouldn't require more than a sentence of two to answer this.) 2. You've seen that the dynamically-allocated array underlying a std::vector is resized periodically. Propose an algorithm for resizing the array used in the circular array implementation of a queue when it comes time to enqueue an element and the array is full. How much larger is your new array? How do the contents of your queue look different than before? 3. Assuming your algorithm was used to solve the problem of resizing the array when it's full, what is the amortized running time of the enqueue operation? (You may want to refer back to the Amortized Analysis lecture while you consider this.)
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