The inorder and preorder traversal of a binary tree are d b e a f c g ...
Explanation:To find the postorder traversal of a binary tree, we need to first understand what postorder traversal is. In postorder traversal, we first visit the left subtree, then the right subtree, and finally the root node.
Given the inorder and preorder traversal of the binary tree, we can construct the binary tree as follows:
a
/ \
/ \
/ \
d c
/ \ / \
/ \ / \
b e f g
Step 1: Identify the root of the binary tree from preorder traversal (a).
Step 2: Locate the root in inorder traversal (d b e
a f c g).
Step 3: Elements to the left of the root in inorder traversal form the left subtree (d b e).
Step 4: Elements to the right of the root in inorder traversal form the right subtree (f c g).
Step 5: Recursively apply steps 1-4 on the left and right subtrees.
Using the above steps, we can construct the binary tree as shown above.
Step 6: To find the postorder traversal, we visit the left subtree first (d e b), then the right subtree (f g c), and finally the root node (a).
Therefore, the postorder traversal of the binary tree is d e b f g c a.
Hence, option A is the correct answer.