What are the advanced concepts in tree data structures?
Advanced tree data structures include AVL trees, Red-Black trees, B-trees, and Segment trees, each with unique properties.
Can you explain how AVL trees maintain balance?
AVL trees maintain balance by performing rotations during insertions and deletions to ensure the height difference between subtrees is at most one.
What are the use cases for B-trees?
B-trees are commonly used in databases and file systems for efficient data retrieval and storage due to their balanced nature.
How do Segment trees work for range queries?
Segment trees allow efficient querying of range sums or minimums by dividing the array into segments and storing aggregate information.
What are the differences between Red-Black trees and AVL trees?
Red-Black trees allow for faster insertions and deletions, while AVL trees provide faster lookups due to stricter balancing.
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