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Solution: Height of Binary Tree After Subtree Removal Queries

Explore how to use depth-first search to find node depths and heights in a binary tree, then apply this data to efficiently calculate the tree's height after removing specified subtrees. Understand how grouping nodes by depth and tracking top heights simplifies height recalculation for multiple queries.

Statement

We are given the root of a binary tree with nn nodes and an array, queries, of size mm. Each query represents the root of a subtree that should be removed from the tree. The task here is to determine the height of the binary tree after each query, i.e., once a subtree is removed. We'll store the updated heights against each query in an array and return it.

Note: A tree’s height is the number of edges in the longest path from the root to any leaf node in the tree.

A few points to be considered:

  • All the values in the tree are unique.

  • It is guaranteed that queries[i] ...