Hash Tables and Algorithm Analysis

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Questions and Answers

In the context of Big O notation, what does it mean for an algorithm to have a time complexity of $O(2^n)$?

  • The execution time grows exponentially with the input size. (correct)
  • The execution time grows linearly with the input size.
  • The execution time grows logarithmically with the input size.
  • The execution time remains constant regardless of the input size.

Which of the following data structures is most suitable for implementing a Last-In-First-Out (LIFO) behavior?

  • Linked List
  • Stack (correct)
  • Hash Table
  • Queue

Which of the following sorting algorithms has an average-case time complexity of $O(n \log n)$?

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

Consider an algorithm that searches for a specific element in a binary search tree. In the worst-case scenario, what is the time complexity of this search operation?

<p>O(n) (D)</p> Signup and view all the answers

Which of the following factors primarily contributes to the space complexity of a recursive algorithm?

<p>The depth of the recursion (stack space). (A)</p> Signup and view all the answers

Flashcards

Data Structure

A method of organizing & storing data to enable efficient access & usage.

Big O Notation

Big O notation classifies algorithms by how their runtime or space needs grow with input size, focusing on the worst-case upper bound.

Time Complexity Analysis

Determining how an algorithm's execution time scales with input size, usually expressed using Big O notation.

Algorithm Efficiency

The amount of time and space needed for an algorithm to solve a problem.

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Best-Case Complexity

Minimum resources for a given input size.

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Average-Case Complexity

Average resources for a typical input size.

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Worst-Case Complexity

Maximum resources for any input size.

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Amortized Analysis

Analyzes time complexity over a sequence of operations, averaging the time required.

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Space Complexity

Memory space needed by an algorithm, including input, output, and auxiliary data structures.

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Trade-offs Between Time and Space

Improving speed by using more memory, or reducing memory by sacrificing speed.

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