Final answer:
The best-case time complexity of the Bubble Sort algorithm is O(n), which occurs when the array is already sorted, requiring only one pass through the array. Bubble Sort's average and worst-case time complexities are O(n^2), which makes it less efficient for larger datasets.
Step-by-step explanation:
The best-case time complexity of the Bubble Sort algorithm is always O(n). In the best-case scenario, the array is already in the sorted order, and the algorithm only needs to make one pass through the array to confirm that no swaps are needed. This results in a linear time complexity, which means the number of operations is proportional to the number of elements in the array.Bubble Sort is categorized as a comparison-based algorithm where each pair of adjacent elements is compared and the elements are swapped if they are not in order. Although Bubble Sort is not the most efficient sorting algorithm for large datasets, it is intuitive and straightforward, making it a common topic of discussion in algorithm classes.I
t's important to note that while Bubble Sort's best-case time complexity is O(n), its average and worst-case complexities are O(n2), because it requires comparing each element with every other element in the list, leading to a quadratic number of comparisons.The best-case time complexity of the Bubble Sort algorithm is O(n). This means that in the best-case scenario, where the input array is already sorted, the algorithm will have to compare each element with its neighboring element only once, resulting in n comparisons.For example, if we have an input array of size 5, the Bubble Sort algorithm will make a maximum of 5 comparisons in the best-case scenario.Therefore, the best-case time complexity of the Bubble Sort algorithm is O(n).