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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 reversal ordering on natural numbers i.e. 9 is assumed to be smallest and 0 is assumed to be largest. The in-order traversal of the resultant binary search tree is
  • a)
    9, 8, 6, 4, 2, 3, 0, 1, 5, 7
  • b)
    0, 1, 2, 3, 4, 5, 6, 7, 8, 9
  • c)
    0, 2, 4, 3, 1, 6, 5, 9, 8, 7
  • d)
    9, 8, 7, 6, 5, 4, 3, 2, 1, 0
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Suppose the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4, 2 are inserted in that ...
Inorder traversal of a binary search tree always produces the keys in increasing order. In this question Reverse ordering of natural numbers are used i.e. 9 is assumed to be the smallest and 0 to be the largest. So the sequence in increasing order will be 9, 8, 7, 6, 5, 4, 3, 2, 1, 0.
So, option (D) is correct.
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Community Answer
Suppose the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4, 2 are inserted in that ...
Understanding Binary Search Trees (BST)
A binary search tree (BST) is a data structure that maintains sorted data in a hierarchical manner. The key property of a BST is that for any given node, all values in the left subtree are greater, and all values in the right subtree are smaller. In this scenario, we are using a reversal ordering on natural numbers.
Insertion of Numbers
We will insert the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4, and 2 in that order into the BST:
- Start with 7 as the root.
- Insert 5 (less than 7, goes to the left).
- Insert 1 (less than 5, goes to the left of 5).
- Insert 8 (greater than 7, goes to the right).
- Insert 3 (less than 5, greater than 1, goes to the right of 1).
- Insert 6 (less than 7, greater than 5, goes to the right of 5).
- Insert 0 (less than 1, goes to the left of 1).
- Insert 9 (greater than 8, goes to the right of 8).
- Insert 4 (less than 5, greater than 3, goes to the right of 3).
- Insert 2 (less than 3, goes to the left of 3).
Structure of the BST
The final structure of the BST is:
7
/ \
5 8
/ \ \
1 6 9
/ \
0 3
/ \
2 4
In-Order Traversal
In-order traversal involves visiting the left subtree, the node, and then the right subtree recursively. Given our reversal ordering, the traversal will yield the following sequence:
- Visit left subtree of 7: 0, 1, 2, 3, 4, 5, 6
- Visit 7
- Visit right subtree: 8, 9
Thus, the in-order traversal results in: 9, 8, 7, 6, 5, 4, 3, 2, 1, 0.
Conclusion
The correct answer is option 'D': 9, 8, 7, 6, 5, 4, 3, 2, 1, 0.
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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 reversal ordering on natural numbers i.e. 9 is assumed to be smallest and 0 is assumed to be largest. The in-order traversal of the resultant binary search tree isa)9, 8, 6, 4, 2, 3, 0, 1, 5, 7b)0, 1, 2, 3, 4, 5, 6, 7, 8, 9c)0, 2, 4, 3, 1, 6, 5, 9, 8, 7d)9, 8, 7, 6, 5, 4, 3, 2, 1, 0Correct answer is option 'D'. 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 reversal ordering on natural numbers i.e. 9 is assumed to be smallest and 0 is assumed to be largest. The in-order traversal of the resultant binary search tree isa)9, 8, 6, 4, 2, 3, 0, 1, 5, 7b)0, 1, 2, 3, 4, 5, 6, 7, 8, 9c)0, 2, 4, 3, 1, 6, 5, 9, 8, 7d)9, 8, 7, 6, 5, 4, 3, 2, 1, 0Correct 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 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 reversal ordering on natural numbers i.e. 9 is assumed to be smallest and 0 is assumed to be largest. The in-order traversal of the resultant binary search tree isa)9, 8, 6, 4, 2, 3, 0, 1, 5, 7b)0, 1, 2, 3, 4, 5, 6, 7, 8, 9c)0, 2, 4, 3, 1, 6, 5, 9, 8, 7d)9, 8, 7, 6, 5, 4, 3, 2, 1, 0Correct 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 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 reversal ordering on natural numbers i.e. 9 is assumed to be smallest and 0 is assumed to be largest. The in-order traversal of the resultant binary search tree isa)9, 8, 6, 4, 2, 3, 0, 1, 5, 7b)0, 1, 2, 3, 4, 5, 6, 7, 8, 9c)0, 2, 4, 3, 1, 6, 5, 9, 8, 7d)9, 8, 7, 6, 5, 4, 3, 2, 1, 0Correct answer is option 'D'. Can you explain this answer?.
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