Practice Complexity Analysis - 11.3 | 11. Heaps and Dijkstra's Algorithm | Design & Analysis of Algorithms - Vol 2
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What data structure does a heap represent?

💡 Hint: Think about the structure that allows maximum or minimum retrieval efficiently.

Question 2

Easy

What is the time complexity for inserting an element into a heap?

💡 Hint: Consider the height of the tree.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the time complexity of deleting the maximum element from a min-heap?

  • O(N)
  • O(log N)
  • O(1)

💡 Hint: Think about the structure's height.

Question 2

Dijkstra's algorithm finds the shortest path using which data structure?

  • True
  • False

💡 Hint: Recall how we discussed the algorithm's functionality.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Explain how you would implement Dijkstra's algorithm without using a heap. What would be the time complexity?

💡 Hint: Consider the implications of not having logarithmic retrieval.

Question 2

Describe an application where heaps and their sorting could greatly enhance efficiency.

💡 Hint: Think about systems that require quick access to priorities, like CPU scheduling.

Challenge and get performance evaluation