GATE DA 2024 Set 1 — Question 45
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Programming, Data Structures & Algorithms → Searching & Sorting → Bubble Sort
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Question
Consider the following sorting algorithms:(i) Bubble sort
(ii) Insertion sort
(iii) Selection sortWhich ONE among the following choices of sorting algorithms sorts the numbers in the array in increasing order after exactly two passes over the array?
(ii) Insertion sort
(iii) Selection sortWhich ONE among the following choices of sorting algorithms sorts the numbers in the array in increasing order after exactly two passes over the array?
Correct answer
(B) (iii) only
Solution
We analyze the array after 2 passes for each algorithm.(i) Bubble Sort:
- Pass 1:
- Swap(4,3)
- Swap(4,2)
- Swap(4,1)
- Swap(4,5) (No swap)
- Result:
- Pass 2:
- Swap(3,2)
- Swap(3,1)
- Swap(3,4) (No swap)
- Result: (Not sorted)
- Pass 1 (Insert 3):
- Pass 2 (Insert 2):
- Result: (Not sorted)
- Pass 1: Find min in index 0-4 (which is 1). Swap with index 0.
- Swap(4, 1)
- Pass 2: Find min in index 1-4 (which is 2). Swap with index 1.
- Swap(3, 2)
- Result: (Sorted)
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