Practice Heaps and Dijkstra's Algorithm - 11.1.1 | 11. Heaps and Dijkstra's Algorithm | Design & Analysis of Algorithms - Vol 2
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

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

💡 Hint: Think about how many levels the tree has.

Question 2

Easy

Explain what a min heap is.

💡 Hint: Consider the size relationship between parents and children.

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 does a min heap do?

  • Ensures parents are larger than children
  • Ensures parents are smaller than children
  • Does not impose any structure

💡 Hint: Think of how hierarchy is maintained in a tree.

Question 2

Is Dijkstra's algorithm efficient for finding the shortest path in unweighted graphs?

  • True
  • False

💡 Hint: Consider when each vertex is equally accessible.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Implement a function that builds a min heap from a given array and demonstrate extraction of the minimum element.

💡 Hint: Remember to percolate the elements down correctly after extraction.

Question 2

Design an example graph and apply Dijkstra's algorithm step by step, illustrating the heap updates and distance calculations.

💡 Hint: Track the distances and the vertices as you proceed!

Challenge and get performance evaluation