Consider the following two data structures for storing several million words.
I. An array of words, not in any particular order
II. An array of words, sorted in alphabetical order
Which of the following statements most accurately describes the time needed for operations on these data structures?
A. Finding the first word in alphabetical order is faster in I than in II.
B. Inserting a word is faster in II than in I.
C. Finding a given word is faster in II than in I.
D. Finding the longest word is faster in II than in I.

Finding a given word requires the search operation. The search operation is faster in a sorted array compared to an unsorted array. In a sorted array the binary search method is used which runs on logarithmic time while in an unsorted array, there's no other way than linear search which takes O(n) time on the worst case where the required word is not in the array.

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Lanuel Lanuel · Answer 2 · 2022-02-18T12:58:52+01:00

The statement which most accurately describes the time needed for operations on these data structures is: C. Finding a given word is faster in II than in I.

What is a binary search?

Binary search can be defined as an efficient algorithm that is designed and developed for searching an element (information) from a sorted list of data, especially by using the run-time complexity of Ο(log n)

Note: n is the total number of elements.

In Computer science, Binary search typically applies the principles of divide and conquer. Thus, to perform a binary search on an array, the array must first be sorted in an alphabetical or ascending order.

In conclusion, the statement which most accurately describes the time needed for operations on these data structures is that, finding a given word is faster in data structure II than in I.

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