Practice Insert Operation Complexity - 10.1.2 | 10. Height of the Heap | 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 of insert operations in heaps?

💡 Hint: Think about what governs the height of the tree.

Question 2

Easy

Where is the maximum element found in a max-heap?

💡 Hint: Is it at the top or somewhere deeper in 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 inserting into a heap?

  • O(N)
  • O(log N)
  • O(N^2)

💡 Hint: Consider how many levels we might have in a tree with N elements.

Question 2

True or False? The maximum value in a max-heap can be found at any leaf node.

  • True
  • False

💡 Hint: Recall the definition of a max-heap.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given an initial heap [50, 30, 20, 10], how would the heap look after inserting 40? Show the intermediate steps.

💡 Hint: Consider how to keep the parent node greater than its children.

Question 2

If you start with a heap of [45, 30, 20, 10] and perform a delete max operation, what will the sequence of heaps look like? Describe each removal step.

💡 Hint: Focus on restoring the heap property after each deletion.

Challenge and get performance evaluation