Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > Suppose the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4...
Start Learning for Free
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 in-order 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?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Suppose the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4, 2 are inserted in that ...
Explanation:
To determine the in-order traversal sequence of the resultant binary search tree, we need to understand how the numbers are inserted into the tree and how they are arranged.
Binary Search Tree:
A binary search tree is a binary tree in which each node has a value greater than all the values in its left subtree and less than all the values in its right subtree.
Insertion Process:
To insert the numbers into the binary search tree, we start with an empty tree and insert each number in the given order.
- The first number, 7, becomes the root of the tree.
- The second number, 5, is less than 7, so it becomes the left child of 7.
- The third number, 1, is less than 7 and 5, so it becomes the left child of 5.
- The fourth number, 8, is greater than 7, so it becomes the right child of 7.
- The fifth number, 3, is greater than 1 and becomes the right child of 1.
- The sixth number, 6, is greater than 5 and becomes the right child of 5.
- The seventh number, 0, is less than 1 and becomes the left child of 1.
- The eighth number, 9, is greater than 7 and becomes the right child of 8.
- The ninth number, 4, is greater than 3 and becomes the right child of 3.
- The tenth number, 2, is greater than 1 and becomes the right child of 1.
In-Order Traversal:
In-order traversal is a depth-first traversal method where the left subtree is traversed first, then the root, and finally the right subtree.
Traversing the Resultant Tree:
- The left subtree of the root 7 contains the numbers 5, 1, 0, 3, 2, 4, and 6.
- The right subtree of the root 7 contains the numbers 8 and 9.
Traversing the left subtree:
- The left subtree of 5 contains the numbers 1, 0, 3, 2, 4, and 6.
- The left subtree of 1 contains the number 0.
- The right subtree of 1 contains the numbers 3, 2, 4, and 6.
- The left subtree of 3 contains the number 2.
- The right subtree of 3 contains the number 4.
- The right subtree of 5 contains the number 6.
Traversing the right subtree:
- The right subtree of 8 contains the number 9.
In-Order Traversal Sequence:
The in-order traversal sequence of the resultant tree is obtained by traversing the left subtree, visiting the root, and then traversing the right subtree.
The in-order traversal sequence is:
0 1 2 3 4 5 6 7 8 9
Therefore, option C, 0 1 2 3 4 5 6 7 8 9, is the correct answer.
To determine the in-order traversal sequence of the resultant binary search tree, we need to understand how the numbers are inserted into the tree and how they are arranged.
Binary Search Tree:
A binary search tree is a binary tree in which each node has a value greater than all the values in its left subtree and less than all the values in its right subtree.
Insertion Process:
To insert the numbers into the binary search tree, we start with an empty tree and insert each number in the given order.
- The first number, 7, becomes the root of the tree.
- The second number, 5, is less than 7, so it becomes the left child of 7.
- The third number, 1, is less than 7 and 5, so it becomes the left child of 5.
- The fourth number, 8, is greater than 7, so it becomes the right child of 7.
- The fifth number, 3, is greater than 1 and becomes the right child of 1.
- The sixth number, 6, is greater than 5 and becomes the right child of 5.
- The seventh number, 0, is less than 1 and becomes the left child of 1.
- The eighth number, 9, is greater than 7 and becomes the right child of 8.
- The ninth number, 4, is greater than 3 and becomes the right child of 3.
- The tenth number, 2, is greater than 1 and becomes the right child of 1.
In-Order Traversal:
In-order traversal is a depth-first traversal method where the left subtree is traversed first, then the root, and finally the right subtree.
Traversing the Resultant Tree:
- The left subtree of the root 7 contains the numbers 5, 1, 0, 3, 2, 4, and 6.
- The right subtree of the root 7 contains the numbers 8 and 9.
Traversing the left subtree:
- The left subtree of 5 contains the numbers 1, 0, 3, 2, 4, and 6.
- The left subtree of 1 contains the number 0.
- The right subtree of 1 contains the numbers 3, 2, 4, and 6.
- The left subtree of 3 contains the number 2.
- The right subtree of 3 contains the number 4.
- The right subtree of 5 contains the number 6.
Traversing the right subtree:
- The right subtree of 8 contains the number 9.
In-Order Traversal Sequence:
The in-order traversal sequence of the resultant tree is obtained by traversing the left subtree, visiting the root, and then traversing the right subtree.
The in-order traversal sequence is:
0 1 2 3 4 5 6 7 8 9
Therefore, option C, 0 1 2 3 4 5 6 7 8 9, is the correct answer.
Free Test
FREE
| Start Free Test |
Community Answer
Suppose the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4, 2 are inserted in that ...
In-order traversal of a BST gives elements in increasing order. So answer c is correct without any doubt.
Attention Computer Science Engineering (CSE) Students!
To make sure you are not studying endlessly, EduRev has designed Computer Science Engineering (CSE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Computer Science Engineering (CSE).
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Similar Computer Science Engineering (CSE) Doubts
Top Courses for Computer Science Engineering (CSE)View all
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 in-order 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?
Question Description
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 in-order 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 in-order 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 in-order 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?.
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 in-order 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 in-order 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 in-order 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?.
Solutions 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 in-order 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? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE).
Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of 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 in-order 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? defined & explained in the simplest way possible. Besides giving the explanation of
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 in-order 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?, a detailed solution 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 in-order 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? has been provided alongside types of 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 in-order 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? theory, EduRev gives you an
ample number of questions to practice 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 in-order 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? tests, examples and also practice Computer Science Engineering (CSE) tests.
|
|
Explore Courses for Computer Science Engineering (CSE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup