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Optimized bubble sort algorithm

Question

Optimized bubble sort algorithm

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Solution

Bubble Sort is a simple sorting algorithm that repeatedly steps through the list, compares adjacent elements and swaps them if they are in the wrong order. The pass through the list is repeated until the list is sorted.

However, the standard Bubble Sort algorithm can be optimized by adding a flag to check if any swapping operation has occurred in the last pass. If no swapping has occurred in the last pass, it means the list is already sorted and there is no need for further passes. This optimized version of Bubble Sort is sometimes referred to as the Optimized Bubble Sort or the Enhanced Bubble Sort.

Here is a step-by-step explanation of the Optimized Bubble Sort algorithm:

  1. Start from the first element of the list, compare it with the next element. If the current element is greater than the next element, swap them. If not, move to the next element.

  2. Continue this process until the end of the list. This completes the first pass. At the end of the first pass, the largest element will have moved to the end of the list.

  3. Start the second pass in the same way as the first. However, there is no need to consider the last element of the list (since it is already in its correct position).

  4. After each pass, check if any swapping operation has occurred. If no swapping has occurred in a pass, it means the list is already sorted. In this case, stop the algorithm.

  5. If swapping has occurred in a pass, repeat the process for the next pass.

Here is a Python code snippet that implements the Optimized Bubble Sort algorithm:

def bubbleSort(arr):
    n = len(arr)
 
    for i in range(n):
        swapped = False
 
        for j in range(0, n-i-1):
 
            if arr[j] > arr[j+1] :
                arr[j], arr[j+1] = arr[j+1], arr[j]
                swapped = True
 
        if swapped == False:
            break

In this code, swapped is a flag that checks if any swapping operation has occurred in the current pass. If swapped remains False after a pass, it means the list is already sorted and the function breaks out of the loop.

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