If one uses a straight two-way merge sort algorithm to sort the following elements in ascending order: 20, 47, 15, 8, 9, 4, 40, 30,12, 17Then the order of these elements after the second pass of the algorithm is ________.
Question
If one uses a straight two-way merge sort algorithm to sort the following elements in ascending order: 20, 47, 15, 8, 9, 4, 40, 30,12, 17Then the order of these elements after the second pass of the algorithm is ________.
Solution
To sort the given elements using a straight two-way merge sort algorithm, we start by dividing the list into individual elements. Then, we merge adjacent pairs of elements in ascending order.
First, we divide the list into individual elements: 20, 47, 15, 8, 9, 4, 40, 30, 12, 17.
Next, we merge adjacent pairs of elements:
- Merge 20 and 47: 20, 47
- Merge 8 and 15: 8, 15
- Merge 4 and 9: 4, 9
- Merge 30 and 40: 30, 40
- Merge 12 and 17: 12, 17
After the first pass, the order of the elements is: 20, 47, 8, 15, 4, 9, 30, 40, 12, 17.
Now, we repeat the merging process with the new pairs:
- Merge 20 and 47: 20, 47
- Merge 4 and 9: 4, 9
- Merge 12 and 17: 12, 17
- Merge 8 and 15: 8, 15
- Merge 30 and 40: 30, 40
After the second pass, the order of the elements is: 20, 47, 4, 9, 12, 17, 8, 15, 30, 40.
Therefore, the order of the elements after the second pass of the algorithm is 20, 47, 4, 9, 12, 17, 8, 15, 30, 40.
Similar Questions
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