空间复杂度 (Space Complexity) 空间复杂度用于描述一个算法执行时所需的额外内存空间与输入规模之间的关系。它衡量了算法执行时占用内存的增长情况。Bubble Sort: 从左到右两个数据依次比较,如序列a,b,c,d,e,f……;如若a>b,则不交换ab顺序,比较下一组;若a...
The space complexity is much easier to reason about. The space taken up by bubble sort isconstant. The reason for this is because we never introduce any new data structures to help in the sorting. The same input collection is the one we perform all of our comparison and swapping operations...
Space complexity is O(1) because an extra variable is used for swapping. In the optimized bubble sort algorithm, two extra variables are used. Hence, the space complexity will be O(2). Bubble Sort Applications Bubble sort is used if complexity does not matter short and simple code is prefe...
Bubble Sort doesn’t require extra memory for auxiliary data structures because it is an in-place sorting method. As a result, regardless of the input size, its space complexity is O(1), showing constant space utilization. Advantages and Disadvantages of Bubble Sort Bubble Sort, a simple sorti...
2. What is the time and space complexity of Bubble Sort?The worst and best case time complexity of Bubble Sort is O(N), and the average case time complexity is O(N). The space complexity is O(1), as it requires only a constant amount of additional space.3. What is the nature of...
Space Complexity: O(1) There is no need to use an extra space that depends on the size of the array. Hence the space completixty of bubble sort program is constant. Runtime Test Cases In this case, we are entering the numbers “345, 3, 20 35, 333” as input to sort them using ...
The time complexity in the average case is O(n^2). Worst Case The worst case occurs when the array is sorted in reverse order. In this case, bubble sort performs the maximum number of comparisons and swaps. The time complexity in the worst case is O(n^2). Space Complexity The space...
Merge sort also requires space. Each separation requires a temporary array, and so a merge sort would require enough space to save the whole of the input a second time. This means the worst-case space complexity of merge sort isO(N). ...
Time Complexity: Best Case: O(n) ? if the array is already sorted, the algorithm makes one pass through the array. Average Case: O(n2) ? when the elements are in random order. Worst Case: O(n2) ? if the array is in reverse order. Space Complexity: O(1) ? bubble sort only requ...
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