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Questions and Answers
What is the primary reason why bubble sort is not suitable for large data sets?
What is the primary reason why bubble sort is not suitable for large data sets?
- Its average and worst case complexity are of O(n2) (correct)
- It has a high space complexity
- It is a stable sorting algorithm
- It is an in-place sorting algorithm
What is the relationship between the number of swaps in bubble sort and the number of inversion pairs in the array?
What is the relationship between the number of swaps in bubble sort and the number of inversion pairs in the array?
- The number of swaps is always equal to the number of inversion pairs (correct)
- The number of swaps is always less than the number of inversion pairs
- The number of swaps is always greater than the number of inversion pairs
- There is no fixed relationship between the two
What is the benefit of using bubble sort when the array is nearly sorted?
What is the benefit of using bubble sort when the array is nearly sorted?
- It has a high time complexity
- It is a stable sorting algorithm
- It has a low space complexity
- It is more efficient in this case (correct)
What is the time complexity of bubble sort in the worst case scenario?
What is the time complexity of bubble sort in the worst case scenario?
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What is the space complexity of bubble sort algorithm?
What is the space complexity of bubble sort algorithm?
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Study Notes
Bubble Sort Algorithm
- A simple, comparison-based sorting algorithm that compares each pair of adjacent elements and swaps them if they are not in order.
How Bubble Sort Works
- In each pass, the largest element is "bubbled down" to its correct position.
- This process continues until the entire array is sorted.
Properties of Bubble Sort
- Stable sorting algorithm, maintaining the relative order of equal elements.
- In-place sorting algorithm, requiring no additional storage.
- Worst-case time complexity: O(n2), making it inefficient for large data sets.
- Space complexity: O(1), as only a fixed amount of additional memory is used.
- The number of swaps is equal to the number of inversion pairs present in the array.
When to Use Bubble Sort
- Beneficial when the array is nearly sorted and has a small number of elements.
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