In a binary tree, if the in-order and post-order traversals are given, how can y
Practice Questions
Q1
In a binary tree, if the in-order and post-order traversals are given, how can you reconstruct the tree?
Using only in-order
Using only post-order
Using both in-order and post-order
Using pre-order and in-order
Questions & Step-by-Step Solutions
In a binary tree, if the in-order and post-order traversals are given, how can you reconstruct the tree?
Step 1: Understand the definitions of in-order and post-order traversals. In-order means visiting the left child, then the node, and then the right child. Post-order means visiting the left child, then the right child, and then the node.
Step 2: Identify the last element in the post-order traversal. This element is the root of the binary tree.
Step 3: Find the position of the root element in the in-order traversal. This will help you determine which elements belong to the left and right subtrees.
Step 4: Split the in-order traversal into two parts: the elements to the left of the root (which belong to the left subtree) and the elements to the right of the root (which belong to the right subtree).
Step 5: Split the post-order traversal into two parts as well. The left subtree elements will be the same number of elements as in the left part of the in-order traversal, and the right subtree elements will be the remaining elements.
Step 6: Recursively apply steps 2 to 5 for the left and right subtrees using the corresponding in-order and post-order segments until all nodes are placed.
