Algorithm Complexity: Selection & Bubble Sort

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the primary purpose of tests in Human Resource Management (HRM)?

  • To assess candidates and employees (correct)
  • To calculate employee salaries
  • To determine office location
  • To plan company events

Which of the following is a type of test used in HRM?

  • Culinary skill tests
  • Space aptitude tests
  • Automotive repair tests
  • Cognitive ability tests (correct)

What kind of skills can be evaluated with testing in HRM?

  • Negotiation skills (correct)
  • Gardening skills
  • Plumbing skills
  • Welding skills

What is one aspect, besides skills, that HRM tests evaluate?

<p>Knowledge (B)</p> Signup and view all the answers

What is the name of tests used for assessing how one would act in a hypothetical work situation?

<p>Situational judgment tests (D)</p> Signup and view all the answers

Which area is NOT typically evaluated by tests in HRM?

<p>Physical fitness (A)</p> Signup and view all the answers

What do personality tests aim to evaluate in the context of HRM?

<p>Personal traits (B)</p> Signup and view all the answers

In HRM, what is the purpose of assessing 'suitability' through tests?

<p>To find the right fit for specific roles (D)</p> Signup and view all the answers

What is the abbreviation for Human Resources Management?

<p>HRM (A)</p> Signup and view all the answers

What do job knowledge tests evaluate?

<p>Knowledge of a specific job (C)</p> Signup and view all the answers

Flashcards

Cognitive Ability Tests

Assess mental capabilities, such as reasoning and problem-solving.

Personality Tests

Evaluate traits, behaviors, and characteristics to understand fit.

Job Knowledge Tests

Gauge expertise and proficiency in a specific area.

Situational Judgment Tests

Present hypothetical work scenarios to evaluate decision-making skills.

Signup and view all the flashcards

Tests used in Human Resource Management (HRM)

Using tests to assess candidates and employees skills, knowledge and suitability

Signup and view all the flashcards

Study Notes

  • Algorithm complexity measures the number of operations needed to sort a list of $n$ elements, considering best-case, worst-case, and average-case scenarios.
  • Landau notation ($O(n)$) express the complexity of an algorithm.

Examples of complexities

  • $O(1)$: Constant complexity, independent of list size.
  • $O(log n)$: Logarithmic complexity.
  • $O(n)$: Linear complexity.
  • $O(n log n)$: Quasi-linear complexity.
  • $O(n^2)$: Quadratic complexity.
  • $O(2^n)$: Exponential complexity.
  • $O(n!)$: Factorial complexity.

Selection Sort

  • Principle: Find the smallest element, place it first, then find the next smallest, and so on.
  • Complexity: $O(n^2)$ in all cases.
  • Advantage: Simple to implement.
  • Disadvantage: Inefficient for large lists.

Bubble Sort

  • Principle: Compare adjacent elements and swap them if they are in the wrong order, repeating until no more swaps are needed.
  • Complexity: $O(n^2)$ worst-case and average, $O(n)$ best-case.
  • Advantage: Simple to implement.
  • Disadvantage: Inefficient for large lists.

Insertion Sort

  • Principle: Insert each element into its correct position in the already sorted portion of the list.
  • Complexity: $O(n^2)$ worst-case and average, $O(n)$ best-case.
  • Advantage: Simple to implement, efficient for small and nearly sorted lists.
  • Disadvantage: Inefficient for large lists.

Merge Sort

  • Principle: Divide the list into two equal parts, sort each recursively, then merge the sorted parts.
  • Complexity: $O(n log n)$ in all cases.
  • Advantage: Efficient for large lists.
  • Disadvantage: More complex to implement.

Quicksort

  • Principle: Choose a pivot, partition the list into elements less than and greater than the pivot, then sort each part recursively.
  • Complexity: $O(n log n)$ average, $O(n^2)$ worst-case.
  • Advantage: Very efficient in practice.
  • Disadvantage: Sensitive to pivot choice, can be $O(n^2)$ in the worst case.

Heapsort

  • Principle: Build a heap (almost complete binary tree), extract the largest element and place it at the end of the list, repeating until the heap is empty.
  • Complexity: $O(n log n)$ in all cases.
  • Advantage: Efficient and stable.
  • Disadvantage: More complex to implement.

Comparison of Sorting Algorithms

Algorithm Best Case Average Case Worst Case Space Stable
Selection Sort $O(n^2)$ $O(n^2)$ $O(n^2)$ $O(1)$ No
Bubble Sort $O(n)$ $O(n^2)$ $O(n^2)$ $O(1)$ Yes
Insertion Sort $O(n)$ $O(n^2)$ $O(n^2)$ $O(1)$ Yes
Merge Sort $O(n log n)$ $O(n log n)$ $O(n log n)$ $O(n)$ Yes
Quicksort $O(n log n)$ $O(n log n)$ $O(n^2)$ $O(log n)$ No
Heapsort $O(n log n)$ $O(n log n)$ $O(n log n)$ $O(1)$ No

Stability

  • A sorting algorithm is stable if it preserves the original order of equal elements.
  • Selection sort, bubble sort, and insertion sort are simple but inefficient for large lists.
  • Merge sort and heapsort are more efficient for large lists but more complex to implement.
  • Quicksort is very efficient in practice but sensitive to pivot selection.
  • The choice of sorting algorithm depends on list size, the need for stability, and performance constraints.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

More Like This

Are you a Selection Sort Pro?
6 questions
Are You a Sorting Expert?
11 questions

Are You a Sorting Expert?

RightfulGoshenite avatar
RightfulGoshenite
Algorithm Complexity - Part I
48 questions

Algorithm Complexity - Part I

AstoundingPyramidsOfGiza avatar
AstoundingPyramidsOfGiza
Use Quizgecko on...
Browser
Browser