Practice Week 6: Search Trees and Greedy Algorithms - 1.6.6 | 1. Welcome to the NPTEL MOOC on Design and Analysis of Algorithms | Design & Analysis of Algorithms - Vol 1
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1.6.6 - Week 6: Search Trees and Greedy Algorithms

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a binary search tree? Provide a brief definition.

💡 Hint: Think about the structure and purpose of search trees.

Question 2

Easy

Describe a greedy algorithm.

💡 Hint: Consider how immediate benefits can lead to a solution.

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 searching an element in a balanced binary search tree?

  • O(n)
  • O(log n)
  • O(1)

💡 Hint: Consider how tree height affects operations.

Question 2

True or False: Greedy algorithms always produce the optimal solution.

  • True
  • False

💡 Hint: Think about scenarios where local choices do not yield the best overall result.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Create a balanced binary search tree by inserting the following numbers in the stated order: 30, 20, 10, 40, 50. Explain the balancing process if needed.

💡 Hint: Consider how you might rotate nodes to keep the tree balanced.

Question 2

Identify a scenario where a greedy algorithm fails to optimize effectively and describe an alternative solution.

💡 Hint: Think about how different routes can connect and compare their total costs.

Challenge and get performance evaluation