Practice Design and Analysis of Algorithms - 11.1 | 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 is a heap?

💡 Hint: Think about how trees can have children and parent nodes.

Question 2

Easy

What is the time complexity for insertion in a heap?

💡 Hint: Consider how many levels the tree has.

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 for deleting an element from a heap?

  • O(N)
  • O(log N)
  • O(1)

💡 Hint: Think about how levels of a tree work.

Question 2

True or False: Increasing a value in a min-heap may require moving the updated value downwards.

  • True
  • False

💡 Hint: How does value comparison work in heaps?

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the following input values: 15, 10, 20, 30, 5, illustrate how to perform heap operations to maintain a min-heap.

💡 Hint: Start with the first value as the root.

Question 2

Implement a step-by-step demonstration of Dijkstra's algorithm using the following graph: A (0) -> B (4), A (0) -> C (2), B (4) -> D (5), C (2) -> D (8) and show how the heap is updated.

💡 Hint: Keep track of reported distances in a table as you iterate over vertices.

Challenge and get performance evaluation