Bubble Sort: A Step-by-Step Guide
- Iterate through the array multiple times.
- Compare each pair of adjacent elements.
- Swap them if they are in the wrong order.
- Repeat until the array is sorted.
Bubble sort is called "bubble" sort because smaller elements "bubble" to the top of the array with each pass.
Time and Space Complexity of Bubble Sort
- Time Complexity:
- Worst Case: $O(n^2)$ (when the array is in reverse order)
- Best Case: $O(n)$ (when the array is already sorted, with an optimized version that checks for swaps)
- Average Case: $O(n^2)$
- Space Complexity: $O(1)$ (in-place sorting)
- When analyzing an algorithm's time complexity, always consider the worst-case scenario first.
- Then evaluate average-case performance, which often provides a more realistic assessment of practical efficiency.
Advantages and Disadvantages of Bubble Sort
- Advantages:
- Simple to implement
- No additional memory required
- Disadvantages:
- Inefficient for large datasets
- High number of swaps
- Assuming bubble sort is efficient for all datasets.
- It is only suitable for small or nearly sorted arrays.
Selection Sort: A Step-by-Step Guide
- Iterate through the array.
