Unit 08 : Algorithmic Thinking and Search Methods

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Questions and Answers

Describe the main steps involved in carrying out an insertion sort.

  1. Starting with the first item, one item at a time is taken from the remainder of the list and placed in the correct position in the sorted part of the list. 2) This is repeated until there are no more unsorted items in the list.

Insertion sort is generally the most efficient sorting algorithm for very large lists.

False (B)

A key advantage of insertion sort is that it does not require much ______ memory.

additional

Match the sorting algorithm to its primary characteristic:

<p>Insertion sort = Efficient for smaller lists, but can be slow for large lists Merge sort = Divides the list into halves, sorts each half, and then merges the sorted halves Bubble sort = Repeatedly compares adjacent elements and swaps them if they are in the wrong order</p> Signup and view all the answers

Which of these statements is a disadvantage of merge sort?

<p>It is generally slower than insertion sort for small lists. (A), It requires a lot of additional memory. (D)</p> Signup and view all the answers

What is the process of breaking down a complex problem into smaller, more manageable sub-problems called?

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

A structure diagram is a graphical representation of data in a database.

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

A ______ search is a method for finding a specific item in a sorted list by repeatedly dividing the search interval in half.

<p>binary</p> Signup and view all the answers

Describe one advantage of linear search over binary search.

<p>Linear search does not require the data to be sorted.</p> Signup and view all the answers

Explain the main difference between linear search and binary search.

<p>Linear search checks each item in the list sequentially, while binary search repeatedly divides the search interval in half, checking the middle item, and eliminating half of the list in each step.</p> Signup and view all the answers

Match the following terms to their definitions:

<p>Abstraction = Ignoring unnecessary details to focus on essential elements. Decomposition = Breaking down a problem into smaller sub-problems. Algorithmic thinking = Defining a problem in a series of steps to solve it. Linear search = Checking each item in a list sequentially. Binary search = Dividing the search space in half repeatedly to find a target value.</p> Signup and view all the answers

Which of the following is a disadvantage of bubble sort?

<p>It is inefficient for large lists. (B)</p> Signup and view all the answers

Sorting using bubble sort can be used to verify if a list is already in order.

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

Flashcards

Insertion Sort

An algorithm that sorts by building a sorted portion one element at a time.

Insertion Sort Advantage

Requires minimal additional memory to perform the sort.

Merge Sort

A sorting method that divides the list then merges sorted sublists recursively.

Merge Sort Disadvantage

Slower than simpler sorts on small lists and uses more memory.

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Flow Diagram

A visual representation using symbols to show data flow and processing in a program.

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Abstraction

Ignoring unnecessary details to focus on essential elements of a problem.

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Decomposition

Breaking down a complex problem into smaller sub-problems for easier solving.

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Structure Diagram

Graphical representation used to show subsections and links of a problem.

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Algorithmic Thinking

Defining a problem through a series of steps to solve it systematically.

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Linear Search

Method of searching unsorted data by checking each item one by one.

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Binary Search

Efficient search method on sorted data, dividing the list in half at each step.

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Bubble Sort

Sorting algorithm that repeatedly swaps adjacent elements if they are in the wrong order.

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Advantages of Linear Search

Does not require sorted data, easy to implement for small lists.

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Study Notes

Abstraction

  • Involves focusing on essential elements of a problem, ignoring unnecessary details
  • Helps identify key aspects to include in a solution

Decomposition

  • Breaking down a complex problem into smaller, simpler sub-problems
  • Easier to solve smaller sub-problems compared to the original complex one

Structure Diagrams

  • Graphical representation of the problem's structure
  • Shows subsections and links between them

Algorithmic Thinking

  • Defining a problem as a sequence of steps to be followed systematically
  • A method to solve problems
  • Starts from the first item in a list
  • Checks each item until a match is found or the end of the list is reached
  • Useful for unsorted data
  • Slow on large lists
  • Selects the middle element of the sorted list
  • If the target value is greater than the middle value, the search continues in the upper half; otherwise, it continues in the lower half
  • Repeated until the target is found or the list becomes empty
  • Requires the data to be sorted

Bubble Sort

  • Compares adjacent elements and swaps if they are in the wrong order
  • Repeats the process until no swaps are needed in a pass
  • Simple to implement; inefficient for large lists

Insertion Sort

  • Takes an unsorted item and places it in the correct position within the already sorted portion of the list
  • Efficient for small lists; less efficient for large lists
  • Doesn't require much extra memory

Merge Sort

  • Divides the list into smaller sublists until each sublist has only one element
  • Repeatedly merges sublists into sorted sublists until a single sorted list is created
  • Efficient for large lists; uses more memory than other sorts

Flow Diagrams

  • Use symbols to represent program flow, data processing, and input/output

Algorithm

  • A set of precise instructions to solve a problem or carry out a task

Trace Tables

  • Show how the values of variables change during the execution of an algorithm
  • Used to follow the steps of the algorithm

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