Question

Design the pseudocode to print a binary tree. At the visit of a node of the tree, it prints the node based on its (x, y) coordinates where x = the inorder rank of the node and y = depth of the node in the tree. Your algorithm time complexity must be linear in n, i.e., the tight bound on time complexity must be O(n), where n is the number of nodes. You must provide the pseudocode only (no Java code).

Answer 1

The pseudocode for printing a binary tree based on its (x, y) coordinates is designed using a recursive approach with O(n) time complexity.

Step-by-step explanation:

The pseudocode for printing a binary tree based on its (x, y) coordinates can be designed using a recursive approach. Here is the pseudocode:

1. Define a function print_tree(node, x, y) that takes in a node of the binary tree, its inorder rank (x), and depth (y).
2. If the node is empty, return.
3. Print the node value at coordinates (x, y).
4. Recursively call print_tree function for the left child of the node, passing the updated coordinates (x-1, y+1).
5. Recursively call print_tree function for the right child of the node, passing the updated coordinates (x+1, y+1).

This pseudocode ensures that each node is printed based on its (x, y) coordinates and the time complexity is O(n), where n is the number of nodes in the tree.