Intermediate Sorting & Searching Algorithms

Test your Intermediate-level Data Structures Algorithms Sorting Searching Algorithms skills in Computer Science Fundamentals. This timed assessment evaluates your expertise in Information Technology.

Duration: 5 minutes

•40 questions

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40 questions remaining

Question 1 of 40Assessment

Why is the lower bound for the time complexity of any comparison-based sorting algorithm defined as Omega(n log n)?

A. Because there are n! possible permutations and each comparison can at most double the number of sorted elements.

B. Because the maximum height of a binary tree with n nodes is log n, and we must visit every node once.

C. Because a decision tree representing the comparisons must have at least n! leaves, resulting in a height of log(n!).

D. Because the algorithm must perform at least one pass over the data and one recursive split for every element.

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