Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Suppose the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4...
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Suppose the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4, 2 are inserted in that order into an initially empty binary search tree. The binary search tree uses the usual ordering on natural numbers. What is the inorder traversal sequence of the resultant tree?
- a)7 5 1 0 3 2 4 6 8 9
- b)0 2 4 3 1 6 5 9 8 7
- c)0 1 2 3 4 5 6 7 8 9
- d)9 8 6 4 2 3 0 1 5 7
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Suppose the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4, 2 are inserted in that ...
Explanation:
To find the inorder traversal sequence of the resultant tree, we need to insert the given numbers into a binary search tree (BST) in the given order and then perform an inorder traversal of the tree.
Binary Search Tree:
A binary search tree is a binary tree where each node has a value and the left subtree of a node contains values less than the node's value, while the right subtree contains values greater than the node's value.
Insertion:
We start with an empty BST and insert the numbers one by one in the given order.
- Insert 7: The tree is empty, so 7 becomes the root.
- Insert 5: 5 is less than 7, so it becomes the left child of 7.
- Insert 1: 1 is less than 5, so it becomes the left child of 5.
- Insert 8: 8 is greater than 7, so it becomes the right child of 7.
- Insert 3: 3 is greater than 1 and less than 5, so it becomes the right child of 1.
- Insert 6: 6 is greater than 5 and less than 7, so it becomes the right child of 5.
- Insert 0: 0 is less than 1, so it becomes the left child of 1.
- Insert 9: 9 is greater than 7 and 8, so it becomes the right child of 8.
- Insert 4: 4 is greater than 3 and less than 5, so it becomes the right child of 3.
- Insert 2: 2 is greater than 0 and less than 3, so it becomes the right child of 0.
Inorder Traversal:
In inorder traversal, we visit the left subtree, then the root, and finally the right subtree.
The inorder traversal sequence of the resultant tree is: 0 1 2 3 4 5 6 7 8 9
Answer:
Therefore, the correct answer is option 'C': 0 1 2 3 4 5 6 7 8 9
To find the inorder traversal sequence of the resultant tree, we need to insert the given numbers into a binary search tree (BST) in the given order and then perform an inorder traversal of the tree.
Binary Search Tree:
A binary search tree is a binary tree where each node has a value and the left subtree of a node contains values less than the node's value, while the right subtree contains values greater than the node's value.
Insertion:
We start with an empty BST and insert the numbers one by one in the given order.
- Insert 7: The tree is empty, so 7 becomes the root.
- Insert 5: 5 is less than 7, so it becomes the left child of 7.
- Insert 1: 1 is less than 5, so it becomes the left child of 5.
- Insert 8: 8 is greater than 7, so it becomes the right child of 7.
- Insert 3: 3 is greater than 1 and less than 5, so it becomes the right child of 1.
- Insert 6: 6 is greater than 5 and less than 7, so it becomes the right child of 5.
- Insert 0: 0 is less than 1, so it becomes the left child of 1.
- Insert 9: 9 is greater than 7 and 8, so it becomes the right child of 8.
- Insert 4: 4 is greater than 3 and less than 5, so it becomes the right child of 3.
- Insert 2: 2 is greater than 0 and less than 3, so it becomes the right child of 0.
Inorder Traversal:
In inorder traversal, we visit the left subtree, then the root, and finally the right subtree.
The inorder traversal sequence of the resultant tree is: 0 1 2 3 4 5 6 7 8 9
Answer:
Therefore, the correct answer is option 'C': 0 1 2 3 4 5 6 7 8 9
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Community Answer
Suppose the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4, 2 are inserted in that ...
The numbers 7, 5, 1, 8, 3, 6, 0, 9, 4, 2 are inserted in that order into an initially empty binary search tree with the usual ordering on natural numbers. The inorder sequence of such a binary search tree always yields to the numbers arranged in ascending order.
So, option (C) is correct.
So, option (C) is correct.
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Suppose the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4, 2 are inserted in that order into an initially empty binary search tree. The binary search tree uses the usual ordering on natural numbers. What is the inorder traversal sequence of the resultant tree?a)7 5 1 0 3 2 4 6 8 9b)0 2 4 3 1 6 5 9 8 7c)0 1 2 3 4 5 6 7 8 9d)9 8 6 4 2 3 0 1 5 7Correct answer is option 'C'. Can you explain this answer?
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Suppose the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4, 2 are inserted in that order into an initially empty binary search tree. The binary search tree uses the usual ordering on natural numbers. What is the inorder traversal sequence of the resultant tree?a)7 5 1 0 3 2 4 6 8 9b)0 2 4 3 1 6 5 9 8 7c)0 1 2 3 4 5 6 7 8 9d)9 8 6 4 2 3 0 1 5 7Correct answer is option 'C'. 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 Suppose the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4, 2 are inserted in that order into an initially empty binary search tree. The binary search tree uses the usual ordering on natural numbers. What is the inorder traversal sequence of the resultant tree?a)7 5 1 0 3 2 4 6 8 9b)0 2 4 3 1 6 5 9 8 7c)0 1 2 3 4 5 6 7 8 9d)9 8 6 4 2 3 0 1 5 7Correct answer is option 'C'. 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 Suppose the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4, 2 are inserted in that order into an initially empty binary search tree. The binary search tree uses the usual ordering on natural numbers. What is the inorder traversal sequence of the resultant tree?a)7 5 1 0 3 2 4 6 8 9b)0 2 4 3 1 6 5 9 8 7c)0 1 2 3 4 5 6 7 8 9d)9 8 6 4 2 3 0 1 5 7Correct answer is option 'C'. Can you explain this answer?.
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