Sorting Algorithms

Explain the Bubble sort algorithm.

• Bubble sort only works on sorted lists

• Bubble sort starts by comparing elements in the middle of the list

• Bubble sort works by comparing adjacent elements and swapping them if they are in the wrong order, iterating through the list multiple times until no more swaps are needed.

• Bubble sort is the fastest sorting algorithm

Answer explanation

Bubble sort works by comparing adjacent elements and swapping them if they are in the wrong order, iterating through the list multiple times until no more swaps are needed.

Explain the Insertion sort algorithm.

• Insertion sort algorithm works by taking one element at a time and inserting it into its correct position in the sorted part of the array to the left of it.

• Insertion sort algorithm sorts elements in descending order

• Insertion sort algorithm only works on arrays with odd lengths

• Insertion sort algorithm compares all elements simultaneously

Answer explanation

Insertion sort algorithm works by taking one element at a time and inserting it into its correct position in the sorted part of the array to the left of it.

What is the time complexity of Bubble sort?

• O(nlogn)

• O(1)

• O(n)

• O(n^2)

What is the time complexity of Insertion sort?

• O(n^2)

• O(n)

• O(1)

• O(nlogn)

Answer explanation

The time complexity of Insertion sort is O(n^2) because in the worst-case scenario, each element needs to be compared and shifted to its correct position, resulting in a quadratic time complexity.

What is the space complexity of Bubble sort?

• O(log n)

• O(n)

• O(n^2)

• O(1)

Answer explanation

The space complexity of Bubble sort is O(1) because it only requires a constant amount of extra space regardless of the input size.

What is the space complexity of Insertion sort?

• O(log n)

• O(n^2)

• O(1)

• O(n)

Answer explanation

The space complexity of Insertion sort is O(1) because it requires a constant amount of extra space for storing variables regardless of the input size.

How does Bubble sort work?

• Bubble sort only works on lists with a prime number of elements

• Bubble sort works by randomly shuffling the elements in the list

• Bubble sort compares elements in reverse order

• Bubble sort is a simple sorting algorithm that repeatedly steps through the list, compares adjacent elements, and swaps them if they are in the wrong order.

Answer explanation

Bubble sort is a simple sorting algorithm that repeatedly steps through the list, compares adjacent elements, and swaps them if they are in the wrong order.

How does Insertion sort work?

• Insertion sort builds the final sorted array one item at a time.

• Insertion sort compares elements in pairs

• Insertion sort only works on arrays with even length

• Insertion sort sorts elements in descending order

Discuss the efficiency of Bubble sort.

• Bubble sort is suitable for sorting large datasets efficiently.

• Bubble sort has a time complexity of O(log n).

• Bubble sort is the fastest sorting algorithm available.

• Bubble sort is not efficient for large datasets due to its O(n^2) time complexity.

Discuss the efficiency of Insertion sort.

• Insertion sort is an unstable sorting algorithm

• Insertion sort is efficient for all dataset sizes

• Insertion sort has a time complexity of O(log n)

• Insertion sort is efficient for small datasets or nearly sorted arrays but becomes inefficient for large datasets due to its time complexity of O(n^2). It is stable and in-place sorting algorithm.