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Postorder traversal of a given binary search tree, T produces the following sequence of keys 10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29 Which one of the following sequences of keys can be the result of an in-order 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?
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Verified Answer
Postorder traversal of a given binary search tree, T produces the foll...
Inorder traversal of a BST always gives elements in increasing order. Among all four options, a) is the only increasing order sequence.
Most Upvoted Answer
Postorder traversal of a given binary search tree, T produces the foll...
Explanation:
Given post-order traversal sequence: 10 9 23 22 27 25 15 50 95 60 40 29
We can construct the binary search tree T as follows:
1. The last element in the post-order sequence is the root of the tree, i.e., 29.
2. All elements to the left of the root in the post-order sequence are part of the left subtree and all elements to the right of the root are part of the right subtree.
3. We can find the boundary between the left and right subtrees by scanning from the right end of the sequence until we find the first element less than the root. In this case, that element is 15.
4. We can now repeat steps 1-3 for the left and right subtrees to construct the entire tree.
The constructed tree T looks like:
```
29
/ \
15 50
/ \ \
10 22 95
/ / \ /
9 23 27 60
/
25
/
23
```
In-order traversal:
The in-order traversal of T is: 9 10 15 22 23 25 27 29 40 50 60 95
Verification of options:
Option A: 9 10 15 22 23 25 27 29 40 50 60 95 (Correct)
Option B: 9 10 15 22 40 50 60 95 23 25 27 29 (Incorrect)
Option C: 29 15 9 10 25 22 23 27 40 60 50 95 (Incorrect)
Option D: 95 50 60 40 27 23 22 25 10 9 15 29 (Incorrect)
Therefore, the correct option is A.
Given post-order traversal sequence: 10 9 23 22 27 25 15 50 95 60 40 29
We can construct the binary search tree T as follows:
1. The last element in the post-order sequence is the root of the tree, i.e., 29.
2. All elements to the left of the root in the post-order sequence are part of the left subtree and all elements to the right of the root are part of the right subtree.
3. We can find the boundary between the left and right subtrees by scanning from the right end of the sequence until we find the first element less than the root. In this case, that element is 15.
4. We can now repeat steps 1-3 for the left and right subtrees to construct the entire tree.
The constructed tree T looks like:
```
29
/ \
15 50
/ \ \
10 22 95
/ / \ /
9 23 27 60
/
25
/
23
```
In-order traversal:
The in-order traversal of T is: 9 10 15 22 23 25 27 29 40 50 60 95
Verification of options:
Option A: 9 10 15 22 23 25 27 29 40 50 60 95 (Correct)
Option B: 9 10 15 22 40 50 60 95 23 25 27 29 (Incorrect)
Option C: 29 15 9 10 25 22 23 27 40 60 50 95 (Incorrect)
Option D: 95 50 60 40 27 23 22 25 10 9 15 29 (Incorrect)
Therefore, the correct option is A.
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Community Answer
Postorder traversal of a given binary search tree, T produces the foll...
Actually my question is that how to find pre-order and postorder from inorder.
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Postorder traversal of a given binary search tree, T produces the following sequence of keys 10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29 Which one of the following sequences of keys can be the result of an in-order 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 given binary search tree, T produces the following sequence of keys 10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29 Which one of the following sequences of keys can be the result of an in-order 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 given binary search tree, T produces the following sequence of keys 10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29 Which one of the following sequences of keys can be the result of an in-order 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 given binary search tree, T produces the following sequence of keys 10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29 Which one of the following sequences of keys can be the result of an in-order 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?.
Postorder traversal of a given binary search tree, T produces the following sequence of keys 10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29 Which one of the following sequences of keys can be the result of an in-order 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 given binary search tree, T produces the following sequence of keys 10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29 Which one of the following sequences of keys can be the result of an in-order 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 given binary search tree, T produces the following sequence of keys 10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29 Which one of the following sequences of keys can be the result of an in-order 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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