Bubble sort is a sorting algorithm that uses comparison methods to sort an array. The algorithm compares pairs of elements in an array and swaps them if the left pair(position) is greater than the right pair(position+1). This process is repeated until the entire array is sorted. Let's understand the algorithm step-by-step using an example.
Here's a step-by-step explanation of how the bubble sort algorithm works:
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Start with an unsorted list of elements.
Example: [8, 10, 6, 2, 4]
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Begin a pass through the list by comparing adjacent elements.
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Compare the first and second elements (8 and 10). If they are in the wrong order (i.e., the first element is greater than the second), swap them. Otherwise, leave them as they are.
- Move to the next pair of elements and repeat the comparison and swapping process.
- Continue comparing and swapping adjacent elements until you reach the end of the list.
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After completing one pass through the list, the largest element will "bubble" up to the end of the list.
- Repeat steps 2 and 3 for the remaining unsorted elements in the list. Each pass will move the next largest element to its correct position.
- Keep repeating the process until no more swaps are performed in a pass. This indicates that the list is fully sorted.
- The final result is a sorted list in either ascending or descending order, depending on the comparison logic.
Here's an example to illustrate the steps of the bubble sort algorithm using the list [8, 10, 6, 2, 4]:
First pass:
[8, 10, 6, 2, 4]
[8, 6, 10, 2, 4]
[8, 6, 2, 10, 4]
[8, 6, 2, 4, 10]
The largest element, 10, is now in its correct position at the end of the list.
Second pass:
[6, 8, 2, 4, 10]
[6, 2, 8, 4, 10]
[6, 2, 4, 8, 10]
The second largest element, 8, is in its correct position.
Third pass:
[2, 6, 4, 8, 10] [2, 4, 6, 8, 10]
The third largest element, 6, is now in its correct position.
Fourth and fifth passes:
No swaps are performed since the list is already sorted.
The final sorted list is [2, 4, 6, 8, 10].