What is the time complexity of finding the height of a binary tree?
Practice Questions
Q1
What is the time complexity of finding the height of a binary tree?
O(n)
O(log n)
O(n log n)
O(1)
Questions & Step-by-Step Solutions
What is the time complexity of finding the height of a binary tree?
Step 1: Understand what a binary tree is. A binary tree is a structure where each node has at most two children.
Step 2: Know 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: Realize that to find the height, you need to check every node in the tree to ensure you find the longest path.
Step 4: Understand that checking each node means you will visit all nodes in the tree, which is why we say it takes O(n) time, where n is the number of nodes.
Step 5: Conclude that since you have to look at every node to determine the height, the time complexity is O(n).
