Bubble Sort Algorithm

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5 Questions

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)

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

What is the benefit of using bubble sort when the array is nearly sorted?

It is more efficient in this case

What is the time complexity of bubble sort in the worst case scenario?

O(n2)

What is the space complexity of bubble sort algorithm?

O(1)

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.

Learn about the bubble sort algorithm, a simple sorting technique that compares adjacent elements and swaps them if they are not in order. Understand its limitations and complexity.

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