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The preorder traversal sequence of a binary search tree is 30, 20, 10, 15, 25, 23, 39, 35, 42. Which one of the following is the postorder traversal sequence of the same tree?
- a)10, 20, 15, 23, 25, 35, 42, 39, 30
- b)15, 10, 25, 23, 20, 42, 35, 39, 30
- c)15, 20, 10, 23, 25, 42, 35, 39, 30
- d)15, 10, 23, 25, 20, 35, 42, 39, 30
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The preorder traversal sequence of a binary search tree is 30, 20, 10,...
The following is the constructed tree
Most Upvoted Answer
The preorder traversal sequence of a binary search tree is 30, 20, 10,...
Explanation:
Preorder Traversal:
- The preorder traversal sequence given is: 30, 20, 10, 15, 25, 23, 39, 35, 42.
Postorder Traversal:
- In a binary search tree, the postorder traversal sequence is obtained by visiting the nodes in the order: left, right, root.
- Therefore, to find the postorder traversal sequence, we need to rearrange the preorder sequence based on this order.
Reordering Preorder Sequence:
- The root of the tree is 30, so it will be at the end in the postorder traversal sequence.
- The nodes less than 30 are on the left side (20, 10, 15, 25, 23) and the nodes greater than 30 are on the right side (39, 35, 42).
- The left subtree will have the nodes in the order: 20, 10, 15, 25, 23 and the right subtree in the order: 39, 35, 42.
Postorder Traversal Sequence:
- Putting it all together, the correct postorder traversal sequence will be: 15, 10, 23, 25, 20, 35, 42, 39, 30.
Therefore, the correct answer is option 'D': 15, 10, 23, 25, 20, 35, 42, 39, 30.
Preorder Traversal:
- The preorder traversal sequence given is: 30, 20, 10, 15, 25, 23, 39, 35, 42.
Postorder Traversal:
- In a binary search tree, the postorder traversal sequence is obtained by visiting the nodes in the order: left, right, root.
- Therefore, to find the postorder traversal sequence, we need to rearrange the preorder sequence based on this order.
Reordering Preorder Sequence:
- The root of the tree is 30, so it will be at the end in the postorder traversal sequence.
- The nodes less than 30 are on the left side (20, 10, 15, 25, 23) and the nodes greater than 30 are on the right side (39, 35, 42).
- The left subtree will have the nodes in the order: 20, 10, 15, 25, 23 and the right subtree in the order: 39, 35, 42.
Postorder Traversal Sequence:
- Putting it all together, the correct postorder traversal sequence will be: 15, 10, 23, 25, 20, 35, 42, 39, 30.
Therefore, the correct answer is option 'D': 15, 10, 23, 25, 20, 35, 42, 39, 30.
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The preorder traversal sequence of a binary search tree is 30, 20, 10, 15, 25, 23, 39, 35, 42. Which one of the following is the postorder traversal sequence of the same tree?a)10, 20, 15, 23, 25, 35, 42, 39, 30b)15, 10, 25, 23, 20, 42, 35, 39, 30c)15, 20, 10, 23, 25, 42, 35, 39, 30d)15, 10, 23, 25, 20, 35, 42, 39, 30Correct answer is option 'D'. Can you explain this answer?
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The preorder traversal sequence of a binary search tree is 30, 20, 10, 15, 25, 23, 39, 35, 42. Which one of the following is the postorder traversal sequence of the same tree?a)10, 20, 15, 23, 25, 35, 42, 39, 30b)15, 10, 25, 23, 20, 42, 35, 39, 30c)15, 20, 10, 23, 25, 42, 35, 39, 30d)15, 10, 23, 25, 20, 35, 42, 39, 30Correct answer is option 'D'. 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 The preorder traversal sequence of a binary search tree is 30, 20, 10, 15, 25, 23, 39, 35, 42. Which one of the following is the postorder traversal sequence of the same tree?a)10, 20, 15, 23, 25, 35, 42, 39, 30b)15, 10, 25, 23, 20, 42, 35, 39, 30c)15, 20, 10, 23, 25, 42, 35, 39, 30d)15, 10, 23, 25, 20, 35, 42, 39, 30Correct answer is option 'D'. 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 The preorder traversal sequence of a binary search tree is 30, 20, 10, 15, 25, 23, 39, 35, 42. Which one of the following is the postorder traversal sequence of the same tree?a)10, 20, 15, 23, 25, 35, 42, 39, 30b)15, 10, 25, 23, 20, 42, 35, 39, 30c)15, 20, 10, 23, 25, 42, 35, 39, 30d)15, 10, 23, 25, 20, 35, 42, 39, 30Correct answer is option 'D'. Can you explain this answer?.
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