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Data Structures with Generic Types in Java

Solution: Scapegoat Trees

Explore the optimized add method for Scapegoat Trees that prevents unnecessary subtree size recalculations. Understand how to identify scapegoat nodes and trigger subtree rebuilds to maintain balance efficiently.

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Task

Modify the add(x) method for ScapegoatTree so that it does not waste any time recomputing the sizes of subtrees that have already been computed. This is possible because, by the time the method wants to compute size(w), it has already computed one of size(w.left) or size(w.right).

Solution

We have implemented the code that modifies the add() method forScapegoatTree. The add() method inserts a new element x into the ScapegoatTree and rebalances the tree if the depth exceeds a certain threshold. ...