Say that we implemented the P.Queues using an Sorted List , then our add function for the worst case has the run time complexity of O(n) 单项选择题
A
True
B
False

Question

Say that we implemented the P.Queues using an Sorted List , then our add function for the worst case has the run time complexity of O(n)

BlackTom AI · Accepted Answer

Consider the statement in the question about implementing P.Queues with a Sorted List and the add function's worst-case runtime being O(n).
Option 1: True. If the priority queue is backed by a sorted list, inserting a new element typically requires finding the correct position to maintain sort-order and then shifting subsequent elements to make room. In the worst case, this shifting touches almost all existing elements, leading to O(n) time for each insert.
Option 2: False. If the implementation somehow avoided any shifting or position finding, or used a different structure that keeps insertion at O(1) or O(log n), the statement would be incorrect. However, with a standard sorted list, maintaining order during insertion inherently costs linear time in the number of elements, making O(n) the expected worst-case bound for add.
Option 3: (Not applicable here, but for completeness) If one argued about amortized vs. worst-case, the claim specifically targets worst-case time, so any amortization discussion would not change the fundamental worst-case cost of a single insertion in a sorted list.
Option 4: If the list were implemented as a linked list rather than an array-backed list, insertion still requires locating the correct position, which could be O(n) in the worst case unless additional structures (like a pointer to the insertion point) are used. Thus, even with different list types, the worst-case can remain O(n).
In summary, the core reason this statement holds in a typical Sorted List-backed priority queue is the necessity to locate the insertion point and shift elements, which drives the worst-case insert cost to linear time.

Say that we implemented the P.Queues using an Sorted List , then our add function for the worst case has the run time complexity of O(n) 单项选择题

类似问题

True/False: Implementing a priority queue as a heap is always the most efficient choice.

Say that we implemented the P.Queues using an Unsorted List , then our add function for the worst case has the run time complexity of O(1)

Which ONE of the following thalamic nuclei is targeted by the trigeminothalamic tract?

Which ONE of the following is disinhibited in the direct pathway of the basal ganglia motor loop

30. What is the main purpose of the lecture?

Section FChoose a, b or c as the best answer.29. Which statement is the speaker most likely to agree with?

28. 15-minute neighbourhoods provide residents with inexpensive ____ .

27. ____ % of global car ownership is in the U.S.A.

更多留学生实用工具

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单