155k views
5 votes
Which of the following sorting algorithms are best to sort n integers that range in {0, 1, ..., 232-1}?

Select all that are best. You may assume that n <<232.
a) Merge sort
b) Heap sort
c) Quick sort
d) Radix sort
e)Counting sort

1 Answer

5 votes

Final answer:

The best sorting algorithms to sort n integers that range from 0 to 2^32-1 are Radix sort, Counting sort, and Quick sort. Option c, d, e.

Step-by-step explanation:

The best sorting algorithms to sort n integers that range from 0 to 232-1 are Radix sort, Counting sort, and Quick sort.

Radix sort and Counting sort are both linear-time sorting algorithms, meaning that they have a time complexity of O(n). They are especially efficient when the range of the input values is known and small, in this case, the range is 232-1.

Radix sort has a complexity of O(kn), where k is the number of digits in the largest number. Counting sort has a complexity of O(n+k), where k is the range of the input values. Quick sort has an average-case time complexity of O(n log n) and is efficient for sorting large datasets, despite having a worst-case time complexity of O(n2).

Merge sort and Heap sort are also efficient sorting algorithms, but they have a time complexity of O(n log n), which is not as optimal as the previously mentioned algorithms for the given problem. Option c, d, e.

User Wombleton
by
7.6k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories