IB Computer Science Topic B2.4.3 Constructing and Tracing Bubble Sort and Selection Sort, Evaluating Time and Space Complexities Revision Notes (SL/HL)

IB Computer Science Topic B2.4.3 Constructing and Tracing Bubble Sort and Selection Sort, Evaluating Time and Space Complexities Revision Notes (SL/HL) | RevisionDojo

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Bubble Sort: A Step-by-Step Guide

Iterate through the array multiple times.
Compare each pair of adjacent elements.
Swap them if they are in the wrong order.
Repeat until the array is sorted.

Note

Bubble sort is called "bubble" sort because smaller elements "bubble" to the top of the array with each pass.

Time and Space Complexity of Bubble Sort

Time Complexity:
1. Worst Case: $O(n^2)$ (when the array is in reverse order)
2. Best Case: $O(n)$ (when the array is already sorted, with an optimized version that checks for swaps)
3. Average Case: $O(n^2)$
Space Complexity: $O(1)$ (in-place sorting)

Tip

When analyzing an algorithm's time complexity, always consider the worst-case scenario first.
Then evaluate average-case performance, which often provides a more realistic assessment of practical efficiency.

Advantages and Disadvantages of Bubble Sort

Advantages:

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Tip

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Lorem ipsum dolor sit amet, consectetur adipiscing elit.
Sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris.
Duis aute irure dolor in reprehenderit in voluptate velit esse cillum.

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Bubble Sort: A Step-by-Step Guide

Iterate through the array multiple times.
Compare each pair of adjacent elements.
Swap them if they are in the wrong order.
Repeat until the array is sorted.

Note

Bubble sort is called "bubble" sort because smaller elements "bubble" to the top of the array with each pass.

Time and Space Complexity of Bubble Sort

Time Complexity:
1. Worst Case: $O(n^2)$ (when the array is in reverse order)
2. Best Case: $O(n)$ (when the array is already sorted, with an optimized version that checks for swaps)
3. Average Case: $O(n^2)$
Space Complexity: $O(1)$ (in-place sorting)

Tip

When analyzing an algorithm's time complexity, always consider the worst-case scenario first.
Then evaluate average-case performance, which often provides a more realistic assessment of practical efficiency.

Advantages and Disadvantages of Bubble Sort

Advantages:

Definition

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(on a website) an arrangement whereby access is restricted to users who have paid to subscribe to the site.

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Duis aute irure dolor in reprehenderit

Note

Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam quis nostrud exercitation.

Excepteur sint occaecat cupidatat non proident

Tip

Lorem ipsum dolor sit amet, consectetur adipiscing elit.
Sed do eiusmod tempor incididunt ut labore et dolore magna aliqua.
Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris.
Duis aute irure dolor in reprehenderit in voluptate velit esse cillum.

A1 Computer fundamentals4 subtopics

A2 Networks4 subtopics

A3 Databases4 subtopics

A4 Machine learning4 subtopics

B1 Computational thinking1 subtopic

B2 Programming5 subtopics

B3 Object-oriented programming2 subtopics

B4 Abstract data types (HL only)1 subtopic

IB Computer Science Topic B2.4.3: Constructing and Tracing Bubble Sort and Selection Sort, Evaluating Time and Space Complexities Notes

A1 Computer fundamentals4 subtopics

A2 Networks4 subtopics

A3 Databases4 subtopics

A4 Machine learning4 subtopics

B1 Computational thinking1 subtopic

B2 Programming5 subtopics

B3 Object-oriented programming2 subtopics

B4 Abstract data types (HL only)1 subtopic

Bubble Sort: A Step-by-Step Guide

Time and Space Complexity of Bubble Sort

Advantages and Disadvantages of Bubble Sort

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Duis aute irure dolor in reprehenderit

Excepteur sint occaecat cupidatat non proident

Unlock the rest of this chapter with a free account

Bubble Sort: A Step-by-Step Guide

Time and Space Complexity of Bubble Sort

Advantages and Disadvantages of Bubble Sort

anim nostrud sit dolore minim proident quis fugiat velit et eiusmod nulla quis nulla mollit dolor sunt culpa aliqua

Duis aute irure dolor in reprehenderit

Excepteur sint occaecat cupidatat non proident

Unlock the rest of this chapter with a free account