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An Introduction to Bubble Sort Algorithm in C

An Introduction to Bubble Sort Algorithm in C

Sorting is a fundamental operation in computer science that involves arranging a collection of elements in a specific order. There are various sorting algorithms available, each with its own advantages and disadvantages. One such algorithm is the Bubble Sort algorithm, which is simple to understand and implement.

Bubble Sort is a comparison-based sorting algorithm that repeatedly compares adjacent elements and swaps them if they are in the wrong order. The algorithm gets its name from the way smaller elements “bubble” to the top of the list during each iteration.

Let’s take a closer look at how the Bubble Sort algorithm works in C:

1. Start by defining an array of elements that need to be sorted. For example, consider an array of integers: int arr[] = {5, 2, 8, 12, 1}.

2. Next, we need to implement the Bubble Sort algorithm. This can be done using nested loops. The outer loop controls the number of passes required to sort the array, while the inner loop compares adjacent elements and swaps them if necessary.

“`c

int i, j;

int n = sizeof(arr) / sizeof(arr[0]);

for (i = 0; i < n – 1; i++) {

for (j = 0; j < n – i – 1; j++) {

if (arr[j] > arr[j + 1]) {

// Swap arr[j] and arr[j+1]

int temp = arr[j];

arr[j] = arr[j + 1];

arr[j + 1] = temp;

}

}

}

“`

3. The outer loop runs for (n-1) times, where n is the number of elements in the array. This ensures that all elements are compared and sorted correctly.

4. The inner loop compares adjacent elements and swaps them if the current element is greater than the next element. This process continues until the largest element “bubbles” to the end of the array.

5. After each pass, the largest element is guaranteed to be in its correct position at the end of the array. Therefore, we can reduce the number of comparisons in subsequent passes by one.

6. Finally, print the sorted array to verify the correctness of the Bubble Sort algorithm.

“`c

printf(“Sorted array: “);

for (i = 0; i < n; i++) {

printf(“%d “, arr[i]);

}

“`

The time complexity of the Bubble Sort algorithm is O(n^2), where n is the number of elements in the array. This means that as the size of the array increases, the time taken to sort it also increases significantly. Therefore, Bubble Sort is not suitable for large datasets.

However, Bubble Sort has some advantages. It is easy to understand and implement, making it a good choice for educational purposes or small datasets. Additionally, Bubble Sort is a stable sorting algorithm, meaning that it preserves the relative order of elements with equal values.

In conclusion, Bubble Sort is a simple yet effective sorting algorithm that compares adjacent elements and swaps them if they are in the wrong order. While it may not be the most efficient algorithm for large datasets, it serves as a good introduction to sorting algorithms and provides a solid foundation for understanding more complex sorting techniques.

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