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Grokking the Coding Interview Patterns in JavaScript

Solution: Height of Binary Tree After Subtree Removal Queries

Explore how to solve the problem of determining a binary tree's height after removing specified subtrees. Learn to use depth-first search to compute node depths and heights, group nodes by depth, and efficiently update tree height for each removal query. This lesson teaches you an optimized approach to handle multiple subtree removal queries while maintaining linear time complexity.

We'll cover the following...

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] ...