A B+ tree of order 3 is generated by inserting 89, 9 and 8. The generated B+ tree is __________
Question
A B+ tree of order 3 is generated by inserting 89, 9 and 8. The generated B+ tree is __________
Solution
To generate a B+ tree of order 3 by inserting 89, 9, and 8, follow these steps:
- Start with an empty B+ tree.
- Insert the first number, 89. Since the tree is empty, 89 becomes the root of the tree.
- Next, insert the second number, 9. Since 9 is less than 89, it becomes the left child of 89.
- Finally, insert the third number, 8. Since 8 is less than 9, it becomes the left child of 9.
So, the generated B+ tree is:
89
/
9
/
8
Please note that in a B+ tree, all data is stored at leaf nodes and the internal nodes act as a multilevel index to the leaf nodes. The tree described above is a simplified representation. In a real B+ tree of order 3, each node (except for the root) would have between 2 and 3 children.
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