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Chapter 2: Problem 8

Use Mergesort (Algorithms 2.2 and 2.4 ) to sort the following list. Show the actions step by step. \\[ 123 \quad 34 \quad 189 \quad 56 \quad 150 \quad 12 \quad 9 \quad 240 \\]

Short Answer

Expert verified
The sorted list is \[9, 12, 34, 56, 123, 150, 189, 240\]

Step by step solution

01

Split the list into individual elements

In this step, split the original list: \[123, 34, 189, 56, 150, 12, 9, 240\] into individual elements, this will create 8 sublists: each containing a single element.
02

Merge and sort

Start merging the sub-lists, ensuring that the result is sorted at each step. First merge the individual elements back into sub-lists of two: \[(123, 34), (189, 56), (150, 12), (9, 240)\] and then sort these as you do: \[(34, 123), (56, 189), (12, 150), (9, 240)\]
03

Continue to Merge and sort

Now merge the pairs into lists of four, while keeping them sorted: \[(34, 56, 123, 189), (9, 12, 150, 240)\]
04

Final Merge and sort

Finally, merge the two sorted sub-lists from earlier into the final sorted list: \[9, 12, 34, 56, 123, 150, 189, 240\] This step marks the end of the merge sort process.

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Most popular questions from this chapter

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