Research on the principle and implementation of bubbling events

Explore the principles and implementation methods of bubble events

Introduction:
Bubble sorting algorithm is one of the most classic and simplest sorting algorithms. In computer science, bubble sort is a basic sorting algorithm that repeatedly traverses the sequence of elements to be sorted, compares each pair of adjacent elements, and swaps them if they are in the wrong order. The name of the bubble sort algorithm comes from the fact that smaller elements will slowly "float" to the top of the array through exchange, hence the name bubble sort. The principles and implementation of the bubble sort algorithm will be explored in detail below, and specific code examples will be provided.

1. Principle:
The basic idea of ​​the bubble sorting algorithm is to gradually "bubble" small numbers to an endpoint of the sequence through comparison and exchange between adjacent elements, thereby realizing the entire Sequence ordering. It is a stable sorting algorithm with a time complexity of O(n^2).

The specific bubble sorting process is as follows:

1. Start from the first element of the sequence, compare the first and second elements, if the first element is greater than the second elements, the positions are swapped, otherwise they remain unchanged.
2. Continue to compare the second and third elements, and repeat the above process until the last element of the sequence is compared.
3. After one traversal, the largest element will "bubble" to the last position of the sequence, which is called a round of bubble comparison.
4. Next, perform the above operations on the remaining n-1 elements, and repeat n-1 rounds of bubble comparison until the entire sequence is in order.

2. Implementation method:
The following is a sample code for implementing the bubble sort algorithm using Python language:

def bubble_sort(nums):
    n = len(nums)
    for i in range(n - 1):
        for j in range(n - 1 - i):
            if nums[j] > nums[j + 1]:
                # 交换相邻元素
                nums[j], nums[j + 1] = nums[j + 1], nums[j]
    return nums

Code analysis:

1. Using nested for loops, the outer loop controls the rounds, and the inner loop controls the comparison and exchange operations of each round.
2. The inner loop performs exchange by comparing the sizes of adjacent elements, and "bubbles" larger elements later.
3. After each round of inner loop, the largest element will bubble to the last position of the sequence.
4. Return an ordered sequence.

3. Sample operation:
Next, use the sample data to test the bubble sort algorithm to see if the sorting is correct:

nums = [5, 3, 8, 4, 2]
sorted_nums = bubble_sort(nums)
print(sorted_nums)

The running result is: [2, 3 , 4, 5, 8], indicating that the bubble sort algorithm correctly sorts the sample data.

Conclusion:
As one of the introductory algorithms for sorting algorithms, the bubble sorting algorithm has relatively simple principles and implementation methods. However, the time complexity of bubble sorting is high, and it is not efficient for large-scale data sorting. lower. In practical applications, more efficient sorting algorithms such as quick sort and merge sort are more commonly used. However, by learning and implementing the bubble sort algorithm, you can better understand and master the basic ideas and coding implementation of the sort algorithm.

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