7.11. Discussion Questions¶

1. Generate a random list of integers. Show how this list is sorted by the following algorithms:

• bubble sort

• selection sort

• insertion sort

• shell sort (you decide on the increments)

• merge sort

• quick sort (you decide on the pivot value)

2. Consider the following list of integers: [1,2,3,4,5,6,7,8,9,10]. Show how this list is sorted by the following algorithms:

• bubble sort

• selection sort

• insertion sort

• shell sort (you decide on the increments)

• merge sort

• quick sort (you decide on the pivot value)

3. Consider the following list of integers: [10,9,8,7,6,5,4,3,2,1]. Show how this list is sorted by the following algorithms:

• bubble sort

• selection sort

• insertion sort

• shell sort (you decide on the increments)

• merge sort

• quick sort (you decide on the pivot value)

4. Consider the list of characters: ['P','Y','T','H','O','N']. Show how this list is sorted using the following algorithms:

• bubble sort

• selection sort

• insertion sort

• shell sort (you decide on the increments)

• merge sort

• quick sort (you decide on the pivot value)

5. Devise alternative strategies for choosing the pivot value in quick sort. For example, pick the middle item. Re-implement the algorithm and then execute it on random data sets. Under what criteria does your new strategy perform better or worse than the strategy from this chapter?