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A B-tree of order 4 is built from scratch by 10 successive insertions. What is the maximum number of node-splitting operations that may take place?

Question

A B-tree of order 4 is built from scratch by 10 successive insertions. What is the maximum number of node-splitting operations that may take place?
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Solution 1

To answer this question, we need to understand how a B-tree works. A B-tree of order 4 means that each node in the tree can hold a maximum of 3 keys and 4 children.

  1. Initially, the B-tree is empty. The first key is inserted without any splitting.

  2. The second and third keys are also inserted w Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

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Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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