Question

Suppose you have the following list of numbers to sort:

a)17, 18, 10, 13, 4, 9, 11, 1, 7
What is the output after four complete passes of bubble sort?

Answer 1

After four complete passes of the bubble sort algorithm, the list 17, 18, 10, 13, 4, 9, 11, 1, 7 will be partially sorted as: 4, 9, 10, 1, 7, 11, 13, 17, 18.

Step-by-step explanation:

When applying the bubble sort algorithm to the provided list of numbers 17, 18, 10, 13, 4, 9, 11, 1, 7, we need to perform consecutive iterations (passes) to sort the list in ascending order. Each pass involves comparing adjacent elements and swapping them if they are in the wrong order. Here's how the list evolves after each pass:

1. After Pass 1: 17, 10, 13, 4, 9, 11, 1, 7, 18
2. After Pass 2: 10, 13, 4, 9, 11, 1, 7, 17, 18
3. After Pass 3: 10, 4, 9, 11, 1, 7, 13, 17, 18
4. After Pass 4: 4, 9, 10, 1, 7, 11, 13, 17, 18

Therefore, after four complete passes of bubble sort, the list will be partially sorted as: 4, 9, 10, 1, 7, 11, 13, 17, 18. Note that the largest numbers find their correct position after each pass. The list is not yet fully sorted, but it is closer to the final sorted order.

The given list of numbers is: 17, 18, 10, 13, 4, 9, 11, 1, 7. Bubble sort involves comparing adjacent pairs of numbers and swapping them if they are in the wrong order. After four complete passes of bubble sort, the list will be sorted as follows:

1, 4, 7, 9, 10, 11, 13, 17, 18