Challenge 4: Finding the Height of a Binary Tree

Given the root to a binary search tree, write a function to find the height of the tree.

Problem statement

Implement a function int findHeight(Node* rootNode), which returns the height of a given binary search tree.

  • Height of a Node — The number of edges between a node and its deepest descendent
  • Height of a Tree — Height of its root node

Also, keep in mind that the height of an empty tree and the leaf nodes are zero.

Input

This is the root node.

Output

It returns the maximum depth or height of a binary tree.

Sample input

bst = {
    6 -> 4,9
    4 -> 2,5
    9 -> 8,12
    12 -> 10,14
}
where parent -> leftChild,rightChild

Sample output

3

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