Question

consider the following list of keys: 80, 57, 65, 30, 45, 77, 27, 4, 90, 54, 45, 2, 63, 38, 81, 28, 62. suppose that this list is to be sorted using shellsort. show the list during each increment, as in this chapter.

Answer 1

Shell sort is a sorting algorithm that uses incremental values to divide a list into sublists and sort them individually. The list is gradually sorted with decreasing increments until it is fully sorted. In this specific example, the steps of shell sort are shown.

Step-by-step explanation:

Shell sort is a sorting algorithm that uses a sequence of increment values to divide the list into sublists. The increments are gradually reduced, and each sublist is sorted individually until the final pass is made with an increment of 1, resulting in a sorted list.

Let's start by considering the initial list:

80, 57, 65, 30, 45, 77, 27, 4, 90, 54, 45, 2, 63, 38, 81, 28, 62

Using the increments 8, 4, 2, and 1, we will sort the list as follows:

1. Step 1: With an increment of 8, divide the list into sublists and sort each sublist individually:

• 80, 62
• 57, 30
• 65, 45
• 27, 4
• 77, 90
• 54, 63
• 45, 38
• 81, 28

Step 2: With an increment of 4, divide the list into sublists and sort each sublist individually:

• 27, 4, 45, 28
• 57, 30, 54, 38
• 65, 63, 45, 81
• 62, 77, 90

Step 3: With an increment of 2, divide the list into sublists and sort each sublist individually:

• 27, 4, 45, 28, 62, 63, 45, 81
• 57, 30, 54, 38, 65, 77, 90

Step 4: With an increment of 1, sort the entire list:

• 4, 27, 28, 45, 45, 54, 57, 62, 63, 65, 77, 81, 90