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Assume the list will be sorted using the selection sort method. What will the list look like after three passes?

[5, 7, 3, 9, 8, 2]

Responses

[2, 3, 5, 9, 8, 7]
[2, 3, 5, 9, 8, 7]

[2, 7, 3, 9, 8, 5]
[2, 7, 3, 9, 8, 5]

[2, 3, 5, 7, 8, 9]
[2, 3, 5, 7, 8, 9]

[2, 3, 7, 9, 8, 5]
[2, 3, 7, 9, 8, 5]

1 answer

To understand what the list will look like after three passes using the selection sort method, let's review how selection sort operates:

  1. In each pass, the algorithm selects the smallest element from the unsorted portion of the list and swaps it with the first unsorted element.
  2. This continues until the entire list is sorted.

Let's go through the selection sort process step by step with the list [5, 7, 3, 9, 8, 2]:

Initial List:
[5, 7, 3, 9, 8, 2]

Pass 1:

  • Find the minimum in the whole list: 2 (at index 5)
  • Swap with the first element (index 0):

Result after 1st pass:
[2, 7, 3, 9, 8, 5]

Pass 2:

  • List to consider: [7, 3, 9, 8, 5]
  • Find the minimum: 3 (at index 2)
  • Swap with the first unsorted element (index 1):

Result after 2nd pass:
[2, 3, 7, 9, 8, 5]

Pass 3:

  • List to consider: [7, 9, 8, 5]
  • Find the minimum: 5 (at index 5)
  • Swap with the first unsorted element (index 2):

Result after 3rd pass:
[2, 3, 5, 9, 8, 7]

Therefore, after three passes, the list looks like:
[2, 3, 5, 9, 8, 7]

The correct response is:
[2, 3, 5, 9, 8, 7]