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Analyzing the Complexity of Algorithms

This quiz is designed to assess your understanding of the concepts related to analyzing the complexity of algorithms. It covers topics such as time complexity, space complexity, and asymptotic analysis.

14 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

Which of the following is not a common way to measure the time complexity of an algorithm?

  1. Big O notation
  2. Big Omega notation
  3. Big Theta notation
  4. Little o notation
Question 2 Multiple Choice (Single Answer)

What is the time complexity of an algorithm that performs a linear search on an array of size n?

  1. O(n)
  2. O(n log n)
  3. O(_n_²)
  4. O(1)
Question 3 Multiple Choice (Single Answer)

Which of the following algorithms has the best time complexity for sorting an array of size n?

  1. Bubble Sort
  2. Selection Sort
  3. Insertion Sort
  4. Merge Sort
Question 4 Multiple Choice (Single Answer)

What is the space complexity of an algorithm that stores the entire input array in memory while processing it?

  1. O(n)
  2. O(n log n)
  3. O(_n_²)
  4. O(1)
Question 5 Multiple Choice (Single Answer)

Which of the following sorting algorithms has the worst-case time complexity of O(_n_²)?

  1. Bubble Sort
  2. Selection Sort
  3. Insertion Sort
  4. Merge Sort
Question 6 Multiple Choice (Single Answer)

What is the time complexity of an algorithm that performs a binary search on a sorted array of size n?

  1. O(n)
  2. O(n log n)
  3. O(_n_²)
  4. O(1)
Question 7 Multiple Choice (Single Answer)

Which of the following algorithms has the best space complexity for finding the minimum value in an array of size n?

  1. Linear Search
  2. Selection Sort
  3. Insertion Sort
  4. Merge Sort
Question 8 Multiple Choice (Single Answer)

What is the time complexity of an algorithm that performs a depth-first search on a graph with V vertices and E edges?

  1. O(V)
  2. O(V + E)
  3. O(_V_²)
  4. O(_E_²)
Question 9 Multiple Choice (Single Answer)

Which of the following algorithms has the worst-case space complexity of O(_n_²)?

  1. Bubble Sort
  2. Selection Sort
  3. Insertion Sort
  4. Merge Sort
Question 10 Multiple Choice (Single Answer)

What is the time complexity of an algorithm that performs a breadth-first search on a graph with V vertices and E edges?

  1. O(V)
  2. O(V + E)
  3. O(_V_²)
  4. O(_E_²)
Question 11 Multiple Choice (Single Answer)

Which of the following algorithms has the best time complexity for finding the maximum value in an array of size n?

  1. Linear Search
  2. Selection Sort
  3. Insertion Sort
  4. Merge Sort
Question 12 Multiple Choice (Single Answer)

What is the space complexity of an algorithm that stores the path from the root node to the target node in a binary search tree while searching for a specific value?

  1. O(n)
  2. O(n log n)
  3. O(_n_²)
  4. O(1)
Question 13 Multiple Choice (Single Answer)

Which of the following algorithms has the best time complexity for finding the median of an array of size n?

  1. Bubble Sort
  2. Selection Sort
  3. Insertion Sort
  4. Quick Select
Question 14 Multiple Choice (Single Answer)

What is the time complexity of an algorithm that performs a topological sort on a directed acyclic graph (DAG) with V vertices and E edges?

  1. O(V)
  2. O(V + E)
  3. O(_V_²)
  4. O(_E_²)
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