Python Error Checking and Sorting Algorithms
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Questions and Answers

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

  • O(n log n)
  • O(n) (correct)
  • O(n**2)
  • O(2**n)

Which sorting algorithm is considered stable?

  • Insertion sort (correct)
  • Selection sort
  • Bubble sort (correct)
  • Merge sort

Which of the following data structures allows you to change an index without error?

  • Tuple
  • Set
  • String
  • List (correct)

What is the worst-case time complexity of a binary search?

<p>O(log base 2 n) (C)</p> Signup and view all the answers

What can you infer about the space complexity of sorting algorithms mentioned?

<p>All sorting algorithms have O(1) space complexity. (A)</p> Signup and view all the answers

For which type of data is insertion sort particularly efficient?

<p>Small or nearly sorted datasets (C)</p> Signup and view all the answers

If you have a variable called 'My_variable', which of the following would likely result in an error in Python?

<p>2My_variable (A), my variable (D)</p> Signup and view all the answers

Which algorithm has the fastest time complexity among the sorting algorithms discussed?

<p>Merge sort (C)</p> Signup and view all the answers

Insertion sort has a worst case time complexity of O(n)

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

Bubble sort is not stable and is poor for large datasets.

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

All sorting algorithms mentioned have a space complexity of O(1).

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

Linear search requires a sorted dataset to function correctly.

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

The time complexity of a binary search is better than that of a linear search in all cases.

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

Selection sort has a best case time complexity of O(n).

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

Stability in sorting algorithms means the relative order of equal elements is maintained.

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

A tuple's index can be changed without causing an error.

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

Flashcards

Time Complexity of Insertion Sort

Best case: O(n), Worst case: O(n^2).

Time Complexity of Bubble Sort

Best case: O(n), Worst case: O(n^2).

Time Complexity of Selection Sort

O(n^2) in all cases

Time Complexity of Merge Sort

O(n log n)

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Linear Search Time Complexity

O(n)

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Binary Search Time Complexity

O(log n)

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Tuple Immutability

Tuple elements cannot be changed after creation.

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Sort() vs. sorted()

Sort() modifies the list in-place. sorted() returns a new sorted list.

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Python Variable Naming Rules

Variables in Python must adhere to these rules: 1) Case-sensitive (age != Age) 2) Cannot be a Python keyword (e.g., 'if') 3) Cannot contain spaces 4) Cannot contain commas or symbols 5) Must start with a letter or underscore

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Time Complexity: Big O Notation

A way to describe how the time (or space) used by an algorithm grows with the input size. Examples: O(1) - Constant, O(n)- Linear, O(n log n) - Logarithmic, O(n²) - Quadratic

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Insertion Sort Time Complexity

Best case: O(n), Worst case: O(n²). Efficient for nearly sorted arrays or small datasets.

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Selection Sort Time Complexity

Always O(n²). Finds the minimum element and swaps, inefficient for larger datasets.

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Merge Sort Time Complexity

O(n log n). Efficient sorting algorithm, especially for larger datasets.

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Stability of Sorting Algorithms

A sorting algorithm is stable if elements with the same value maintain their relative order. Example: Insertion sort and bubble sort are stable, selection sort is not

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Binary Search Prerequisites

Requires the data to be sorted. Efficiently finds an element by repeatedly dividing the search space in half.

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Study Notes

Python Error Checking

  • Check if variable names are valid:
    • Case-sensitive
    • Not a Python keyword
    • No spaces, commas, or symbols
    • Cannot start with a digit

Lab 4: List Operations

  • Inserting at the back has a constant time complexity (O(1))
  • Inserting at the front has a linear time complexity (O(n))
  • Big O notations: O(1) , O(log n), O(n), O(n log n), O(n^2), O(2^n), O(n!)

Lab 6: Sorting Algorithms

  • Bubble Sort:
    • Compares adjacent elements and swaps if needed.
    • Best case: O(n)
    • Worst/Average case: O(n^2)
  • Selection Sort:
    • Finds the minimum element and swaps it to the correct position.
    • All cases: O(n^2)
  • Insertion Sort:
    • Builds a sorted array progressively by comparing the current element with elements in the already sorted part.
    • Best case: O(n)
    • Worst/Average case: O(n^2)
  • Space Complexity: All sorting algorithms have a space complexity of O(1) (in-place)
  • Algorithm Comparisons:
    • Insertion Sort: Good for small or nearly sorted arrays.
    • Bubble Sort: Inefficient for large datasets.
    • Selection Sort: Inefficient in all cases.
  • Merge Sort:
    • O(n log n) - fastest among these.
  • Stability:
    • Bubble and Insertion sorts are stable
    • Selection sort is not stable
  • Adaptability:
    • Insertion sort is adaptable to nearly sorted datasets
    • Bubble sort is somewhat adaptable
    • Selection sort is not adaptable

Lab 7: Indexing

  • Remember array index starts at 0 and ends at length-1
  • Linear Search/Sequential Search: Checks each element sequentially until the target is found.
  • Sorted or unsorted data can be searched
  • Time complexity: O(n)
  • Binary Search: Requires a sorted array; repeatedly divides the search interval in half.
  • Time complexity: O(logâ‚‚n) - binary logarithm

Lab 10: Tuple Immutability

  • Tuples are immutable; you cannot change their elements.
  • Modifying a tuple index will cause an error

Lab 11: Variable Identity

  • c = a creates a new variable c but pointing to the same object as a
  • d = a[:] creates a copy of a (a new list)

Lab 12: List Sorting Methods

  • list.sort(): Modifies the original list (in-place).
  • sorted(list): Creates a new sorted list without modifying the original.

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Description

This quiz covers essential concepts in Python, focusing on error checking for variable names and various sorting algorithms. Participants will explore the complexities of operations like insertion and sorting methods, including Bubble, Selection, and Insertion Sort. Test your understanding of these critical programming topics!

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