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Solution: Height of Binary Tree After Subtree Removal Queries

Explore how to determine the updated height of a binary tree after subtree removal queries by using depth-first search to track node depths and heights. Understand how grouping nodes by depth helps recalculate heights quickly for each query, enabling efficient evaluation of tree structure changes.

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] ...