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Grokking the Coding Interview Patterns in Go

Solution: Height of Binary Tree After Subtree Removal Queries

Explore how to efficiently calculate the height of a binary tree after removing specific subtrees by using depth-first search to track node depth and height values. Understand how grouping nodes by depth and handling queries helps determine updated tree heights quickly. This lesson guides you through the algorithm and its implementation to solve binary tree modification problems effectively.

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] ...