What is the main advantage of Heavy-Light Decomposition over simpler tree traversal algorithms?
The main advantage of Heavy-Light Decomposition is that it makes it easier to solve tree traversal problems by ensuring the tree is always balanced.
Thatâ€™s partially correct. While Heavy-Light Decomposition does help in handling path queries efficiently, its primary benefit is reducing path query complexity, not balancing the tree.
Can you explain how Heavy-Light Decomposition specifically reduces the time complexity of path queries?