Neco 2019 Computer Studies Question 39

Practice objective / multiple choice question 39 from the 2019 Neco Computer Studies examination.

Neco 2019 Computer Studies Objective / Multiple Choice Medium Difficulty

Question 39 NECO • 2019 • COMPUTER_STUDIES • objective

A sorting algorithm divides an array of \(n\) distinct integers into two halves, recursively sorts each half, and then merges them. However, the merge step compares every element of the first half with every element of the second half (i.e., \(\frac{n}{2}\times\frac{n}{2}\) comparisons). Derive the worst‑case time‑complexity \(T(n)\) in Big‑O notation and state whether it is better, equal to, or worse than the standard merge‑sort complexity \(O(n\log n)\).

A. \Theta(n^{1.5}), better

B. \Theta(n\log n), equal

C. \Theta(n^{2}\log n), worse

Correct Answer D. \Theta(n^{2}), worse

Correct Answer

Correct Option:

\Theta(n^{2}), worse

This is Neco 2019 Computer Studies Question 39. It is one of the objective questions from the 2019 Neco Computer Studies examination.

Difficulty level: Medium .

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