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Postorder traversal of a binary search tree T produces the following sequence of keys:
10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29
Which of the following sequences of keys can be the result of an inorder traversal of the tree T?
  • a)
    9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95 
  • b)
    9, 10, 15, 22, 40, 50, 60, 95, 23, 25, 27, 29
  • c)
    29, 15, 9, 10, 25, 22, 23, 27, 40, 60, 50, 95
  • d)
    95, 50, 60, 40, 27, 23, 22, 25, 10, 9, 15, 29
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Postorder traversal of a binary search tree T produces the following s...
Inorder traversal of a BST always gives elements in increasing order. Among all four options, option 1 is the only increasing order sequence, where the sequence is (9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95).
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Community Answer
Postorder traversal of a binary search tree T produces the following s...
Explanation:

Given:
Postorder traversal: 10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29

Step 1: Identify Root Node
In postorder traversal, the last element is the root of the tree.
Root Node: 29

Step 2: Divide the Sequence
Divide the sequence into two parts based on the root node.
Left Subtree: 10, 9, 23, 22, 27, 25, 15
Right Subtree: 50, 95, 60, 40

Step 3: Recursively repeat the steps
Repeat the above steps for the left and right subtrees.

Left Subtree:
Root Node: 15
Left Subtree: 10, 9
Right Subtree: 23, 22, 27, 25

Right Subtree:
Root Node: 40
Left Subtree: None
Right Subtree: 50, 95, 60

Step 4: Inorder Traversal
The inorder traversal of the binary search tree will be in ascending order.

Final Inorder Traversal:
9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95
Therefore, the correct sequence of keys that can be the result of an inorder traversal of the tree T is option 'A': 9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95.
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Postorder traversal of a binary search tree T produces the following sequence of keys:10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29Which of the following sequences of keys can be the result of an inorder traversal of the tree T?a)9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95b)9, 10, 15, 22, 40, 50, 60, 95, 23, 25, 27, 29c)29, 15, 9, 10, 25, 22, 23, 27, 40, 60, 50, 95d)95, 50, 60, 40, 27, 23, 22, 25, 10, 9, 15, 29Correct answer is option 'A'. Can you explain this answer?
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Postorder traversal of a binary search tree T produces the following sequence of keys:10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29Which of the following sequences of keys can be the result of an inorder traversal of the tree T?a)9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95b)9, 10, 15, 22, 40, 50, 60, 95, 23, 25, 27, 29c)29, 15, 9, 10, 25, 22, 23, 27, 40, 60, 50, 95d)95, 50, 60, 40, 27, 23, 22, 25, 10, 9, 15, 29Correct answer is option 'A'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Postorder traversal of a binary search tree T produces the following sequence of keys:10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29Which of the following sequences of keys can be the result of an inorder traversal of the tree T?a)9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95b)9, 10, 15, 22, 40, 50, 60, 95, 23, 25, 27, 29c)29, 15, 9, 10, 25, 22, 23, 27, 40, 60, 50, 95d)95, 50, 60, 40, 27, 23, 22, 25, 10, 9, 15, 29Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Postorder traversal of a binary search tree T produces the following sequence of keys:10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29Which of the following sequences of keys can be the result of an inorder traversal of the tree T?a)9, 10, 15, 22, 23, 25, 27, 29, 40, 50, 60, 95b)9, 10, 15, 22, 40, 50, 60, 95, 23, 25, 27, 29c)29, 15, 9, 10, 25, 22, 23, 27, 40, 60, 50, 95d)95, 50, 60, 40, 27, 23, 22, 25, 10, 9, 15, 29Correct answer is option 'A'. Can you explain this answer?.
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