Sorting Algorithms Questions Medium
The time complexity of the cocktail shaker sort algorithm, also known as the bidirectional bubble sort, is O(n^2), where n represents the number of elements in the array being sorted.
In the cocktail shaker sort algorithm, the array is sorted by repeatedly traversing it in both directions, swapping adjacent elements if they are in the wrong order. This process is repeated until the array is completely sorted.
In the worst-case scenario, where the array is in reverse order, the algorithm will require n-1 passes to sort the array. During each pass, the algorithm compares and swaps adjacent elements, resulting in a total of (n-1) + (n-2) + ... + 1 = n(n-1)/2 comparisons and swaps.
Therefore, the time complexity of the cocktail shaker sort algorithm is O(n^2), as the number of comparisons and swaps grows quadratically with the number of elements in the array.