Implementasi Algoritma Bubble Sort dalam Pemrograman Python

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The world of computer science is built upon the foundation of algorithms, which are sets of instructions that guide computers in solving problems. Among these algorithms, sorting algorithms play a crucial role in organizing data in a meaningful way. One such algorithm, known as Bubble Sort, is a simple and intuitive method for arranging elements in ascending or descending order. This article delves into the implementation of the Bubble Sort algorithm in the Python programming language, exploring its mechanics, advantages, and limitations. #### Understanding the Bubble Sort Algorithm At its core, Bubble Sort operates by repeatedly stepping through the list, comparing adjacent elements and swapping them if they are in the wrong order. This process continues until the entire list is sorted. The algorithm derives its name from the way smaller elements "bubble up" to their correct positions in the list. #### Implementing Bubble Sort in Python To implement Bubble Sort in Python, we can utilize a nested loop structure. The outer loop iterates through the list, while the inner loop compares adjacent elements and performs swaps as needed. Here's a Python code snippet demonstrating the implementation: ```python def bubble_sort(list_): n = len(list_) for i in range(n - 1): for j in range(n - i - 1): if list_[j] > list_[j + 1]: list_[j], list_[j + 1] = list_[j + 1], list_[j] return list_ # Example usage my_list = [64, 34, 25, 12, 22, 11, 90] sorted_list = bubble_sort(my_list) print(sorted_list) ``` In this code, the `bubble_sort` function takes a list as input and returns a sorted list. The outer loop iterates `n-1` times, where `n` is the length of the list. The inner loop compares adjacent elements and swaps them if they are in the wrong order. The process continues until the entire list is sorted. #### Advantages of Bubble Sort While Bubble Sort is a simple algorithm, it offers certain advantages: * Ease of Implementation: Its straightforward logic makes it easy to understand and implement, even for beginners in programming. * In-Place Sorting: Bubble Sort performs sorting directly within the original list, without requiring additional memory allocation. * Stable Sorting: It preserves the relative order of elements with equal values, which can be beneficial in certain applications. #### Limitations of Bubble Sort Despite its simplicity, Bubble Sort has some significant limitations: * Time Complexity: In the worst-case scenario, Bubble Sort has a time complexity of O(n^2), where `n` is the length of the list. This means that the execution time grows quadratically with the size of the input, making it inefficient for large datasets. * Inefficiency for Large Datasets: Due to its quadratic time complexity, Bubble Sort becomes increasingly inefficient as the size of the input list grows. * Not Optimal for Most Cases: There are more efficient sorting algorithms available, such as Merge Sort and Quick Sort, which have better time complexities and are generally preferred for larger datasets. #### Conclusion The Bubble Sort algorithm, while simple and easy to implement, is not the most efficient sorting algorithm available. Its quadratic time complexity makes it unsuitable for large datasets. However, its simplicity and in-place sorting capabilities make it a valuable tool for understanding the fundamentals of sorting algorithms and for small-scale sorting tasks. When dealing with larger datasets, more efficient algorithms like Merge Sort or Quick Sort are generally preferred.