What is the time complexity of in-order traversal of a binary tree?
Practice Questions
Q1
What is the time complexity of in-order traversal 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 in-order traversal of a binary tree?
Step 1: Understand what in-order traversal means. In-order traversal is a way to visit all the nodes in a binary tree in a specific order: left child, then the node itself, and then the right child.
Step 2: Recognize that a binary tree consists of nodes. Each node can have up to two children: a left child and a right child.
Step 3: Realize that during in-order traversal, we visit each node in the tree exactly once.
Step 4: Count the total number of nodes in the binary tree. Let's say there are 'n' nodes.
Step 5: Since we visit each of the 'n' nodes once, the time taken for the traversal is proportional to 'n'.
Step 6: Conclude that the time complexity of in-order traversal is O(n), which means it grows linearly with the number of nodes.
