Prerequisites: Binary tree, BT traversal. .
Problem: Given a binary tree, print the boundary nodes of it in an Anti-Clockwise direction, starting from the root.
The boundary encompasses:
- Left boundary (nodes on the left, excluding leaf nodes).
- Leaves (comprising solely the leaf nodes).
- Right boundary (nodes on the right, excluding leaf nodes).
Solution Approach: We can use a four-step process to print the boundary nodes of the binary tree in an Anti-Clockwise direction:
- Print the Root:
- Print the value of the root node.
- Print the Left Boundary (Top-Down):
- Recursively print the left boundary nodes in a top-down manner.
- Print each node before calling itself for the left subtree.
- Avoid printing leaf nodes to prevent duplicates in the output.
- Print the Leaves:
- Recursively print the leaf nodes in both the left and right subtrees.
- Avoid printing duplicate leaf nodes.
- Print the Right Boundary (Bottom-Up):
- Recursively print the right boundary nodes in a bottom-up manner.
- Print each node after calling itself for the right subtree.
- Avoid printing leaf nodes to prevent duplicates in the output.
Take a look at the code to understand how we’re avoiding the duplication.
Time Complexity: O(N), as we need to visit each node once.
Space Complexity: O(1), as we don’t need any extra space.