Solution: Height of Binary Tree After Subtree Removal Queries
Let's solve the Height of Binary Tree After Subtree Removal Queries problem using the Tree Depth-First Search pattern.
We'll cover the following
Statement
We are given the root
of a binary tree with queries
, of size
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 thatÂ
queries[i]
 will not be equal to the value of the root.The queries are independent, so the tree returns to its initial state after each query.
Constraints:
Node.data
== queries.length
, queries[i]
queries[i]
root.data
Solution
To solve this problem efficiently, it’s crucial to understand the fundamental structure of a tree. When we trace a path from the root to a leaf node, each node on this path has two important measures.
The first is the distance from the root to the node, referred to as the node’s depth.
The second is the distance from the node to the farthest leaf node, known as the node’s height.
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