One of the linked list variants we saw was a singly-linked list with head and tail pointers. Let's consider where this variant fell short and whether there are other ways to improve it besides what we saw. 1. Why isn't the presence of a tail pointer enough to allow us to remove the last node in the list in O(1) time? 2. Suppose that we added a third list-level pointer (i.e., outside of the nodes) called before Tail, which always pointed to the second-to-last node in the list. Would we now be able to remove the last node in the list in 0(1) time?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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We discussed several Linked List Variations, each of which was more complex than the one preceding it, but that was able to do certain things asymptotically faster than the simpler variants could. This is
one of many examples we'll see this quarter where we make a classic tradeoff in computing: using more memory (and, correspondingly, more complexity for managing what it's in it) in an effort to spend less
time. While it's not always true that we can make things faster by using more memory, it's not at all uncommon to see these two things be on opposite sides of a tradeoff.
One of the linked list variants we saw was a singly-linked list with head and tail pointers. Let's consider where this variant fell short and whether there are other ways to improve it besides what we saw.
1. Why isn't the presence of a tail pointer enough to allow us to remove the last node in the list in O(1) time?
2. Suppose that we added a third list-level pointer (i.e., outside of the nodes) called before Tail, which always pointed to the second-to-last node in the list. Would we now be able to remove the last node
in the list in O(1) time?
Transcribed Image Text:We discussed several Linked List Variations, each of which was more complex than the one preceding it, but that was able to do certain things asymptotically faster than the simpler variants could. This is one of many examples we'll see this quarter where we make a classic tradeoff in computing: using more memory (and, correspondingly, more complexity for managing what it's in it) in an effort to spend less time. While it's not always true that we can make things faster by using more memory, it's not at all uncommon to see these two things be on opposite sides of a tradeoff. One of the linked list variants we saw was a singly-linked list with head and tail pointers. Let's consider where this variant fell short and whether there are other ways to improve it besides what we saw. 1. Why isn't the presence of a tail pointer enough to allow us to remove the last node in the list in O(1) time? 2. Suppose that we added a third list-level pointer (i.e., outside of the nodes) called before Tail, which always pointed to the second-to-last node in the list. Would we now be able to remove the last node in the list in O(1) time?
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