AVL TREE Practice Questions

Duration: 3 min

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Module outline

  1. About the Course: About the Course
  2. Paper-1 & 2 | Basic Numeracy: Ratio and Proportion (Ratios), Divisibility Rules, Mixture and Alligation, Permutation and Combination, Logarithm, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Percentage, Average, Mensuration and Geometry, Age Problems, Arithmetic, Statistics, Probability, Profit and Loss, Simple Interest and Compound Interest, Partnership, Speed Mathematics and Basic Mathematics, Algebra, Powers and Exponents (Surds and Indices), Time and Work, Pipe and Cistern, RSSB Specific Videos - Basic Numeracy
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  4. Paper-1 & 2 | General Mental Ability: Mental Ability, RSSB Specific Videos - Mental Ability
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  24. Paper 1 - Full Mock Tests:
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  26. BCI Previous Year Papers:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

The video lecture focuses on constructing and modifying AVL trees through insertion and deletion operations. The instructor begins by presenting a problem requiring the insertion of a specific sequence of keys (A, Z, B, Y, C, X, D, W, V, U, T) to build an AVL tree. He meticulously draws the tree on a digital whiteboard, applying necessary rotations (LL, RR, LR, RL) to maintain the balance factor property at each step. After completing the insertion phase, he identifies the root of the resulting tree from multiple-choice options. The second part of the lecture transitions to deletion operations. Using the previously constructed tree, the instructor demonstrates the removal of specific nodes (A, Z, B, Y, C) and explains how the tree rebalances itself after each deletion. He concludes by identifying the new root of the modified tree, reinforcing the dynamic nature of AVL tree maintenance.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The instructor introduces a problem asking to insert keys A, Z, B, Y, C, X, D, W, V, U, T in order to build an AVL tree. He starts drawing the tree structure, beginning with A as the root. As he inserts subsequent keys like Z, B, and Y, he draws the nodes and edges in red ink. He encounters imbalance and performs rotations, specifically noting an LL rotation. The diagram evolves into a complex structure with nodes like C, E, D, F, X, Z. He evaluates the final tree structure against the options provided on screen: a) C, b) D, c) E, d) V. He concludes that the root of the resultant tree is E, marking option (c) as the correct answer.

  2. 2:00 – 3:17 02:00-03:17

    The lecture shifts to a deletion problem based on the previously built tree. The question asks for the new root if keys A, Z, B, Y, C are deleted. The instructor crosses out the nodes A, Z, B, Y, and C on his diagram. He then redraws the remaining structure, showing how the tree reorganizes. A slide titled 'Deletion in an AVL tree' appears, displaying a flowchart with cases like L, R, L0, L1, R0, R1, RR, RL, LL, LR. He continues to manipulate the tree diagram, showing the removal of nodes and the resulting connections. Finally, he identifies the new root as V, marking option (d) as the correct answer.

The video provides a practical demonstration of AVL tree mechanics. It starts with the construction phase, emphasizing the importance of rotations during insertion to maintain balance. It then transitions to the deletion phase, showing that the tree must be re-balanced even after removing nodes. The instructor uses visual aids and step-by-step drawing to clarify complex balancing operations like LL, RR, and rotations, ensuring students understand how the root can change dynamically.

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