What is the primary purpose of a binary tree's height?
Practice Questions
Q1
What is the primary purpose of a binary tree's height?
To determine the number of nodes
To calculate the depth of nodes
To evaluate the balance of the tree
To find the maximum value
Questions & Step-by-Step Solutions
What is the primary purpose of a binary tree's height?
Step 1: Understand what a binary tree is. A binary tree is a data structure where each node has at most two children.
Step 2: Learn what the height of a binary tree means. The height is the number of edges on the longest path from the root node to a leaf node.
Step 3: Recognize that the height helps determine how balanced the tree is. A balanced tree has a height that is relatively small compared to the number of nodes.
Step 4: Know that the balance of the tree affects performance. A balanced tree allows for faster operations like searching, inserting, and deleting nodes.
Step 5: Conclude that the primary purpose of knowing the height is to evaluate the balance, which impacts the efficiency of operations on the tree.