Binary Search Tree Construction Time Complexity Quiz
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Questions and Answers

What is the time complexity of constructing a binary search tree?

  • $O(n!)$
  • $O(n ext{log}n)$ (correct)
  • $O(2^n)$
  • $O(n^2)$

What is the lower bound time complexity for constructing a binary search tree?

  • $ heta(n^2)$
  • $ heta(2^n)$
  • $ heta(n)$
  • $ heta(n ext{log}n)$ (correct)

If it was possible to construct a BST in better than $\Omega(n\text{log}n)$ time, what implication does it have on sorting?

  • Sorting would become $O(n)$
  • Sorting would become faster than $O(n\text{log}n)$ (correct)
  • Sorting would become slower than $O(n\text{log}n)$
  • Sorting time complexity would remain the same

What does the existence of an algorithm to create a BST in $O(n\text{log}n)$ time imply?

<p>The algorithm is optimal under the comparison-based model (A)</p> Signup and view all the answers

What is the time complexity of reading out a sorted list from a binary search tree?

<p>$O(n)$ (B)</p> Signup and view all the answers

Under UK company law, a company is considered an entity that is:

<p>Separate from the people who own or operate the company (D)</p> Signup and view all the answers

What is the typical duration for forming a company via the paper filing method in the UK?

<p>Up to 4 weeks (D)</p> Signup and view all the answers

Who can be involved in the creation of companies in the UK?

<p>Individuals, specialised agents, solicitors, or accountants (C)</p> Signup and view all the answers

What was historically used in 18th century England to regulate the activities of companies structured as joint-stock companies?

<p>Deed of settlement (B)</p> Signup and view all the answers

What is the primary purpose of company formation packages offered by agents in the UK?

<p>To assist in the process of company formation (A)</p> Signup and view all the answers

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