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Which of the following is an inorder traversal of a tree whose postorder traversal is
10, 9, 23, 22, 27, 25, 15, 50, 95, 60,40, 29?
- 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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Most Upvoted Answer
Which of the following is an inorder traversal of a tree whose postord...
Explanation:
The postorder traversal of a binary tree is the order in which the nodes are visited in the following order: left subtree, right subtree, and root. The inorder traversal of a binary tree is the order in which the nodes are visited in the following order: left subtree, root, and right subtree.
Given the postorder traversal: 10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29
To find the inorder traversal, we need to identify the root node and the left and right subtrees.
Identify the root node:
The last element in the postorder traversal is always the root node. In this case, the root node is 29.
Identify the left and right subtrees:
To identify the left and right subtrees, we need to find the elements in the postorder traversal that come before and after the root node.
Elements before the root node: 10, 9, 23, 22, 27, 25, 15
Elements after the root node: 50, 95, 60, 40
The elements before the root node belong to the left subtree, and the elements after the root node belong to the right subtree.
Reconstruct the tree:
To reconstruct the tree, we can recursively apply the above steps to the left and right subtrees.
For the left subtree, the postorder traversal is: 10, 9, 23, 22, 27, 25, 15
The root node of the left subtree is 15.
The elements before the root node belong to the left subtree: 10, 9
The elements after the root node belong to the right subtree: 23, 22, 27, 25
For the right subtree, the postorder traversal is: 50, 95, 60, 40
The root node of the right subtree is 40.
The elements before the root node belong to the left subtree: 50, 95, 60
Applying the above steps recursively:
For the left subtree of the left subtree, the postorder traversal is: 10, 9
The root node of the left subtree of the left subtree is 9.
There are no elements before the root node.
There are no elements after the root node.
For the right subtree of the left subtree, the postorder traversal is: 23, 22, 27, 25
The root node of the right subtree of the left subtree is 25.
The elements before the root node belong to the left subtree: 23, 22
The elements after the root node belong to the right subtree: 27
For the left subtree of the right subtree, the postorder traversal is: 50, 95, 60
The root node of the left subtree of the right subtree is 60.
The elements before the root node belong to the left subtree: 50
The elements after the root node belong to the right subtree: 95
Final inorder traversal:
The inorder traversal of the tree is obtained by recursively applying the above steps and combining the results.
Left subtree of the left subtree: 9
Right subtree of the left subtree:
The postorder traversal of a binary tree is the order in which the nodes are visited in the following order: left subtree, right subtree, and root. The inorder traversal of a binary tree is the order in which the nodes are visited in the following order: left subtree, root, and right subtree.
Given the postorder traversal: 10, 9, 23, 22, 27, 25, 15, 50, 95, 60, 40, 29
To find the inorder traversal, we need to identify the root node and the left and right subtrees.
Identify the root node:
The last element in the postorder traversal is always the root node. In this case, the root node is 29.
Identify the left and right subtrees:
To identify the left and right subtrees, we need to find the elements in the postorder traversal that come before and after the root node.
Elements before the root node: 10, 9, 23, 22, 27, 25, 15
Elements after the root node: 50, 95, 60, 40
The elements before the root node belong to the left subtree, and the elements after the root node belong to the right subtree.
Reconstruct the tree:
To reconstruct the tree, we can recursively apply the above steps to the left and right subtrees.
For the left subtree, the postorder traversal is: 10, 9, 23, 22, 27, 25, 15
The root node of the left subtree is 15.
The elements before the root node belong to the left subtree: 10, 9
The elements after the root node belong to the right subtree: 23, 22, 27, 25
For the right subtree, the postorder traversal is: 50, 95, 60, 40
The root node of the right subtree is 40.
The elements before the root node belong to the left subtree: 50, 95, 60
Applying the above steps recursively:
For the left subtree of the left subtree, the postorder traversal is: 10, 9
The root node of the left subtree of the left subtree is 9.
There are no elements before the root node.
There are no elements after the root node.
For the right subtree of the left subtree, the postorder traversal is: 23, 22, 27, 25
The root node of the right subtree of the left subtree is 25.
The elements before the root node belong to the left subtree: 23, 22
The elements after the root node belong to the right subtree: 27
For the left subtree of the right subtree, the postorder traversal is: 50, 95, 60
The root node of the left subtree of the right subtree is 60.
The elements before the root node belong to the left subtree: 50
The elements after the root node belong to the right subtree: 95
Final inorder traversal:
The inorder traversal of the tree is obtained by recursively applying the above steps and combining the results.
Left subtree of the left subtree: 9
Right subtree of the left subtree:
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Which of the following is an inorder traversal of a tree whose postorder traversal is10, 9, 23, 22, 27, 25, 15, 50, 95, 60,40, 29?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?
Question Description
Which of the following is an inorder traversal of a tree whose postorder traversal is10, 9, 23, 22, 27, 25, 15, 50, 95, 60,40, 29?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 GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Which of the following is an inorder traversal of a tree whose postorder traversal is10, 9, 23, 22, 27, 25, 15, 50, 95, 60,40, 29?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 GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is an inorder traversal of a tree whose postorder traversal is10, 9, 23, 22, 27, 25, 15, 50, 95, 60,40, 29?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?.
Which of the following is an inorder traversal of a tree whose postorder traversal is10, 9, 23, 22, 27, 25, 15, 50, 95, 60,40, 29?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 GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Which of the following is an inorder traversal of a tree whose postorder traversal is10, 9, 23, 22, 27, 25, 15, 50, 95, 60,40, 29?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 GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is an inorder traversal of a tree whose postorder traversal is10, 9, 23, 22, 27, 25, 15, 50, 95, 60,40, 29?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?.
Solutions for Which of the following is an inorder traversal of a tree whose postorder traversal is10, 9, 23, 22, 27, 25, 15, 50, 95, 60,40, 29?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? in English & in Hindi are available as part of our courses for GATE.
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Which of the following is an inorder traversal of a tree whose postorder traversal is10, 9, 23, 22, 27, 25, 15, 50, 95, 60,40, 29?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?, a detailed solution for Which of the following is an inorder traversal of a tree whose postorder traversal is10, 9, 23, 22, 27, 25, 15, 50, 95, 60,40, 29?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? has been provided alongside types of Which of the following is an inorder traversal of a tree whose postorder traversal is10, 9, 23, 22, 27, 25, 15, 50, 95, 60,40, 29?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? theory, EduRev gives you an
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