Practice Building and Maintaining a Heap - 11.4.1 | 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 the time complexity for inserting an element into a heap?

💡 Hint: Think about the height of the tree.

Question 2

Easy

What is a min-heap?

💡 Hint: Consider how it relates to priority.

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 primary purpose of a heap data structure?

  • To sort elements
  • To manage priority queues
  • To store arrays

💡 Hint: Consider what ‘priority’ means.

Question 2

True or False: In a min-heap, the root node is always the largest.

  • True
  • False

💡 Hint: Reflect on the nature of min vs max.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a scenario where elements are inserted into a min-heap, describe how to construct the heap step by step. Start with the array [5, 3, 8, 4, 1]. Illustrate each insertion and the resultant heap after each step.

💡 Hint: Think about how parents and children relate in value when inserting.

Question 2

Imagine you have a min-heap structured as [2, 3, 5, 7, 9] and you want to decrease the value of 5 to 1. Explain the steps required to maintain the integrity of the heap structure after this operation.

💡 Hint: What happens first when you change a value?

Challenge and get performance evaluation