is a simple and commonly used sorting algorithm that operates by repeatedly ping]] adjacent s if they are in the wrong order. It is an iterative algorithm that involves a series of s or passes over the input data. During each iteration, the algorithm compares pairs of adjacent elements and if they are out of order, it performs the swapping operation. This process is repeated until the entire array is sorted in either ascending or .
Bubble Sort is an algorithm, meaning that it does not require any additional to perform the sorting. It achieves this by swapping elements directly within the input array. However, it is important to note that Bubble Sort has poor due to its time and space complexities. Its is O(n^2) in the worst case, average case, and best case scenarios, where 'n' represents the number of elements to be sorted. Similarly, its is O(1), as it does not require any additional space other than the input array.
The occurs when the input array is in descending order, requiring the maximum number of iterations and comparisons. Conversely, the is achieved when the array is already sorted, resulting in fewer iterations and comparisons. The , however, falls somewhere in between. Despite its simplicity, Bubble Sort could be optimized by incorporating certain techniques such as of the , reducing unnecessary comparisons, and making use of properties.
Bubble Sort is a algorithm, which means that it relies on comparing elements to determine their relative order. The algorithm compares elements using comparison operators to determine whether they need to be swapped. Furthermore, Bubble Sort can be implemented recursively, allowing for a approach. Although Bubble Sort is not the most efficient sorting algorithm, it serves as a good introduction to understand the basics of comparison-based sorting.
Keywords
descending order | worst-case performance | comparison-based sorting | recursive sorting | iteration | optimization | in-place sorting | comparison | space complexity | best-case performance | element | [[swap | average-case performance | stable sorting | efficiency | data structures | bubble sort | time complexity | loop |
