What is the best case time complexity of radix sort algorithm?
Ω(nk)
Radix Sort Best Case Analysis The question asks for the best-case time complexity in terms of \Omega notation (lower bound). Therefore, the total number of operations will still be proportional to k × (n+b). This means the best-case, average-case, and worst-case time complexities are all O(nk), and thus the lower bound (\Omega) is also \Omega(nk). Therefore, the correct answer is Ω(nk).
Important Questions from Sorting - Teaching
Arrange the following items in ascending order using Bubble Sort. What is the intermediate sequence of 37, 54, 21, 85, 68, 12, 9, and 57 after the second pass?
Which of the following algorithm design approach is used in Quick sort algorithm?
What is the worst case running time of quick sort algorithm?
Sort the following list using the Radix sort algorithm.
329, 457, 839, 436, 720, 355, 657
What is the output of the algorithm after the second pass?
You are given a sequence of n elements to sort. The input sequence consists of n/k subsequences, each containing k elements. The elements in a given subsequence are all smaller than the elements in the succeeding subsequence and larger than the elements in the preceding subsequence. Thus, all that is needed to sort the whole sequence of length n is to sort the k elements in each of the n/k subsequences.
The lower bound on the number of comparisons needed to solve this variant of the sorting problem is :
