A bubble sort begins with the array:
372418
Work through the lists obtained at each step of the bubble sort. Complete the table below for the intermediate step where 7 is at position four in the array.
[][][]7[][]
To complete the table for the intermediate step where 7 is at position four in the array, we need to understand how the bubble sort algorithm works.
The bubble sort algorithm works by repeatedly swapping adjacent elements if they are in the wrong order. This process continues until the entire array is sorted. Let's walk through the steps of the algorithm to complete the table:
Step 1: Compare the first and second elements (3 and 7 in this case).
- Since 3 is less than 7, no swapping is needed. The array remains the same. The current state of the array is: [3, 7, 2, 4, 1, 8].
Step 2: Compare the second and third elements (7 and 2 in this case).
- Since 7 is greater than 2, we need to swap these elements. After swapping, the array becomes: [3, 2, 7, 4, 1, 8].
Step 3: Compare the third and fourth elements (7 and 4 in this case).
- Since 7 is greater than 4, we need to swap these elements. After swapping, the array becomes: [3, 2, 4, 7, 1, 8].
Step 4: Compare the fourth and fifth elements (7 and 1 in this case).
- Since 7 is greater than 1, we need to swap these elements. After swapping, the array becomes: [3, 2, 4, 1, 7, 8].
Step 5: Compare the fifth and sixth elements (7 and 8 in this case).
- Since 7 is not greater than 8, no swapping is needed. The array remains the same. The current state of the array is: [3, 2, 4, 1, 7, 8].
Now, completing the table using square brackets to represent the unsorted/unexamined elements, we have:
[3][2][4][][1][]7
Please note that this is just an intermediate step of the bubble sort algorithm. The actual sorting process continues until the entire array is sorted.