In a binary tree, what is the in-order traversal of the tree with nodes 1, 2, 3?
Practice Questions
Q1
In a binary tree, what is the in-order traversal of the tree with nodes 1, 2, 3?
[1, 2, 3]
[2, 1, 3]
[1, 3, 2]
[3, 2, 1]
Questions & Step-by-Step Solutions
In a binary tree, what is the in-order traversal of the tree with nodes 1, 2, 3?
Step 1: Understand what a binary tree is. A binary tree is a structure where each node has at most two children, referred to as the left child and the right child.
Step 2: Identify the nodes in the tree. We have three nodes: 1, 2, and 3.
Step 3: Decide how to arrange these nodes in a binary tree. A simple arrangement could be: 1 as the root, 2 as the left child of 1, and 3 as the right child of 1.
Step 4: Visualize the tree structure: 1 is the root, 2 is on the left, and 3 is on the right.
Step 5: Understand the in-order traversal method. In-order traversal means we visit the left subtree first, then the root node, and finally the right subtree.
Step 6: Apply in-order traversal to our tree. First, we visit the left child (2), then the root (1), and finally the right child (3).
Step 7: Write down the order of nodes visited during in-order traversal. The order is [2, 1, 3].