Which of the following algorithms has a worst case complexity of O(n log2n)? A. selection sort B. merge sort C. bubble sort D. insertion sort E. none of the above
Question
Which of the following algorithms has a worst case complexity of O(n log2n)? A. selection sort B. merge sort C. bubble sort D. insertion sort E. none of the above
Solution
The algorithm that has a worst case complexity of O(n log2n) is B. Merge Sort.
Here's a brief explanation:
A. Selection Sort: This algorithm has a worst-case and average time complexity of O(n^2), for a list with n items.
B. Merge Sort: This algorithm has a worst-case time complexity of O(n log n). It's a divide and conquer algorithm that splits a list in half, and keeps splitting the list by 2 until it only has singular elements.
C. Bubble Sort: This algorithm also has a worst-case and average time complexity of O(n^2), where n is the number of items being sorted.
D. Insertion Sort: This algorithm has a worst-case time complexity of O(n^2) due to the two nested loops.
E. None of the above: This option is incorrect as Merge Sort has a worst-case time complexity of O(n log n).
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