TTrave_Alg_3
Which one of the pseudocode given below is written for post-order traversal of a Binary Search Tree?

Question

BlackTom AI · Accepted Answer

Let’s break down what post-order traversal means and then evaluate each option step by step.

- Post-order traversal of a binary tree visits the left subtree first, then the right subtree, and finally processes the current node (prints its value). This order is L → R → Node.

Option 1:
- The pseudocode shows: traverse left, then traverse right, then Print node. This exactly matches the L → R → Node sequence required for post-order traversal. Therefore, this option adheres to the post-order pattern.

Option 2:
- At first glance, this option appears nearly identical to Option 1, with the same left-first, right-second, then print last structure. Since the sequence is still left, then right, then printing the node, it also implements post-order traversal. The only potential difference is formatting or placement, but the core order remains L → R → Node, so this option also aligns with post-order.

Option 3:
- Here, after the left subtree, the pseudocode prints the node, and only then proceeds to traverse the left and right subtrees. This order is Print node before exploring the subtrees (Left → Node → Right would be in-order with a misplacement), which does not implement post-order. It disrupts the required L → R → Node sequence.

Option 4:
- This option executes: traverse left, then Print node, then traverse right. Printing the node between left and right does not follow the post-order convention (which requires printing after both subtrees are processed). This is a misordering and therefore not post-order.

Summary of correctness:
- Options 1 and 2 implement the L → R → Node pattern characteristic of post-order traversal.
- Options 3 and 4 violate the required order and do not represent post-order traversal.

Given the provided correct-answer indicator, the code snippet that matches post-order is the one where the node is printed after both recursive calls to the left and right subtrees, i.e., the last step in the sequence. This corresponds to the option showing left, then right, then print, which is presented in Option 1 (and is effectively the same structure as Option 2 in terms of traversal order).

TTrave_Alg_3 Which one of the pseudocode given below is written for post-order traversal of a Binary Search Tree?

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