Sorting Algorithms Questions Medium
Cocktail sort, gnome sort, and odd-even sort are all comparison-based sorting algorithms that have similar time complexities in the average and worst cases.
Cocktail sort, also known as bidirectional bubble sort, is a variation of bubble sort that sorts the array in both directions. It has a time complexity of O(n^2) in the average and worst cases, where n is the number of elements in the array. This is because it requires multiple passes through the array, comparing and swapping adjacent elements until the array is sorted.
Gnome sort, also known as stupid sort, is a simple sorting algorithm that works by repeatedly swapping adjacent elements if they are in the wrong order. It has a time complexity of O(n^2) in the average and worst cases. Similar to cocktail sort, gnome sort requires multiple passes through the array to sort it.
Odd-even sort, also known as brick sort, is a variation of bubble sort that compares and swaps adjacent elements in pairs, first comparing and swapping elements at even indices and then at odd indices. It has a time complexity of O(n^2) in the average and worst cases. Like cocktail sort and gnome sort, odd-even sort also requires multiple passes through the array to sort it.
In summary, all three sorting algorithms (cocktail sort, gnome sort, and odd-even sort) have similar time complexities of O(n^2) in the average and worst cases. However, it is important to note that there are more efficient sorting algorithms available, such as quicksort and mergesort, which have better average and worst-case time complexities.