ITPEC FE Morning April 2021 Question 8

Source exam: ITPEC FE Morning April 2021Topic: Basic Theory & Math

ITPEC FE Morning April 2021 — Question 8 of 80

In-Order Traversal — visit nodes in Left → Root → Right order.

Given tree rooted at 1:

  • Left subtree of 1 → recurse into 2
  • Left of 2 → recurse into 4
  • Left of 47 (leaf) → visit 7
  • Visit 4
  • Right of 48 (leaf) → visit 8
  • Visit 2
  • Right of 25 (leaf) → visit 5
  • Visit 1
  • Right subtree of 1 → recurse into 3
  • Left of 3 → none
  • Visit 3
  • Right of 3 → recurse into 6
  • Left of 69 (leaf) → visit 9
  • Visit 6

Result: 7, 4, 8, 2, 5, 1, 3, 9, 6

Why not others:
- (a) 1, 2, 4, 7, 8, 5, 3, 6, 9 — this is pre-order (Root → Left → Right)

- (b) 6, 9, 3, 1, 5, 2, 8, 4, 7 — this is reverse pre-order

- (d) 7, 8, 4, 5, 2, 9, 6, 3, 1 — this is post-order (Left → Right → Root)

Key rule: In-order on a BST yields sorted output; on a general binary tree, apply Left → Root → Right recursively.

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