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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?

The algorithm is optimal under the comparison-based model Signup and view all the answers

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

$O(n)$ Signup and view all the answers

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

Separate from the people who own or operate the company Signup and view all the answers

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

Up to 4 weeks Signup and view all the answers

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

Individuals, specialised agents, solicitors, or accountants 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?

Deed of settlement Signup and view all the answers

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

To assist in the process of company formation Signup and view all the answers