Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  Consider a Binary Tree where the allowed heig... Start Learning for Free
Consider a Binary Tree where the allowed height difference between left and right children of every node is at most one. What are the maximum and minimum possible heights of such a Binary Tree ?
  • a)
    Minimum Height : floor (log n) and Maximum Height : approximately 1.44 log n
  • b)
    Minimum Height : floor (log n) and Maximum Height : ceil (log n)
  • c)
    Minimum Height : ceil (log n) and Maximum Height : floor (n/2)
  • d)
    Minimum Height : approximately 1.44 log n and Maximum Height : floor (n/2)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Consider a Binary Tree where the allowed height difference between lef...
The binary tree as per the question would be an AVL Tree.
Height of AVL would be minimum when tree is complete like Heap, which is floor(log n).
Height would be maximum when differences between heights is exactly one for every internal node, which is approximately 1.44 log n.
View all questions of this test
Most Upvoted Answer
Consider a Binary Tree where the allowed height difference between lef...
Understanding Binary Tree Heights
In a Binary Tree where the height difference between left and right children of every node is at most one, we can derive the minimum and maximum heights based on the number of nodes, n.
Minimum Height
- The minimum height of a balanced binary tree occurs when the tree is perfectly balanced.
- In such a case, the minimum height can be approximated as the logarithm (base 2) of the number of nodes.
- Therefore, we have:
- Minimum Height = floor(log n)
Maximum Height
- The maximum height occurs when the tree is skewed (almost linear) but still maintains the balance property.
- A perfectly balanced tree can have its right and left children differ by at most one level. This can lead to a structure that resembles a complete tree but slightly skewed.
- The maximum height can be derived from the properties of a balanced binary tree, leading to:
- Maximum Height ≈ 1.44 log n
Conclusion
- The options provided lead us to conclude that the correct answer is:
- Minimum Height: floor(log n)
- Maximum Height: approximately 1.44 log n
This option captures the essence of how height varies in a balanced binary tree while adhering to the constraints provided.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Consider a Binary Tree where the allowed height difference between left and right children of every node is at most one. What are the maximum and minimum possible heights of such a Binary Tree ?a)Minimum Height : floor (log n) and Maximum Height : approximately 1.44 log nb)Minimum Height : floor (log n) and Maximum Height : ceil (log n)c)Minimum Height : ceil (log n) and Maximum Height : floor (n/2)d)Minimum Height : approximately 1.44 log n and Maximum Height : floor (n/2)Correct answer is option 'A'. Can you explain this answer?
Question Description
Consider a Binary Tree where the allowed height difference between left and right children of every node is at most one. What are the maximum and minimum possible heights of such a Binary Tree ?a)Minimum Height : floor (log n) and Maximum Height : approximately 1.44 log nb)Minimum Height : floor (log n) and Maximum Height : ceil (log n)c)Minimum Height : ceil (log n) and Maximum Height : floor (n/2)d)Minimum Height : approximately 1.44 log n and Maximum Height : floor (n/2)Correct 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 Consider a Binary Tree where the allowed height difference between left and right children of every node is at most one. What are the maximum and minimum possible heights of such a Binary Tree ?a)Minimum Height : floor (log n) and Maximum Height : approximately 1.44 log nb)Minimum Height : floor (log n) and Maximum Height : ceil (log n)c)Minimum Height : ceil (log n) and Maximum Height : floor (n/2)d)Minimum Height : approximately 1.44 log n and Maximum Height : floor (n/2)Correct 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 Consider a Binary Tree where the allowed height difference between left and right children of every node is at most one. What are the maximum and minimum possible heights of such a Binary Tree ?a)Minimum Height : floor (log n) and Maximum Height : approximately 1.44 log nb)Minimum Height : floor (log n) and Maximum Height : ceil (log n)c)Minimum Height : ceil (log n) and Maximum Height : floor (n/2)d)Minimum Height : approximately 1.44 log n and Maximum Height : floor (n/2)Correct answer is option 'A'. Can you explain this answer?.
Solutions for Consider a Binary Tree where the allowed height difference between left and right children of every node is at most one. What are the maximum and minimum possible heights of such a Binary Tree ?a)Minimum Height : floor (log n) and Maximum Height : approximately 1.44 log nb)Minimum Height : floor (log n) and Maximum Height : ceil (log n)c)Minimum Height : ceil (log n) and Maximum Height : floor (n/2)d)Minimum Height : approximately 1.44 log n and Maximum Height : floor (n/2)Correct answer is option 'A'. 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 Consider a Binary Tree where the allowed height difference between left and right children of every node is at most one. What are the maximum and minimum possible heights of such a Binary Tree ?a)Minimum Height : floor (log n) and Maximum Height : approximately 1.44 log nb)Minimum Height : floor (log n) and Maximum Height : ceil (log n)c)Minimum Height : ceil (log n) and Maximum Height : floor (n/2)d)Minimum Height : approximately 1.44 log n and Maximum Height : floor (n/2)Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Consider a Binary Tree where the allowed height difference between left and right children of every node is at most one. What are the maximum and minimum possible heights of such a Binary Tree ?a)Minimum Height : floor (log n) and Maximum Height : approximately 1.44 log nb)Minimum Height : floor (log n) and Maximum Height : ceil (log n)c)Minimum Height : ceil (log n) and Maximum Height : floor (n/2)d)Minimum Height : approximately 1.44 log n and Maximum Height : floor (n/2)Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Consider a Binary Tree where the allowed height difference between left and right children of every node is at most one. What are the maximum and minimum possible heights of such a Binary Tree ?a)Minimum Height : floor (log n) and Maximum Height : approximately 1.44 log nb)Minimum Height : floor (log n) and Maximum Height : ceil (log n)c)Minimum Height : ceil (log n) and Maximum Height : floor (n/2)d)Minimum Height : approximately 1.44 log n and Maximum Height : floor (n/2)Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Consider a Binary Tree where the allowed height difference between left and right children of every node is at most one. What are the maximum and minimum possible heights of such a Binary Tree ?a)Minimum Height : floor (log n) and Maximum Height : approximately 1.44 log nb)Minimum Height : floor (log n) and Maximum Height : ceil (log n)c)Minimum Height : ceil (log n) and Maximum Height : floor (n/2)d)Minimum Height : approximately 1.44 log n and Maximum Height : floor (n/2)Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Consider a Binary Tree where the allowed height difference between left and right children of every node is at most one. What are the maximum and minimum possible heights of such a Binary Tree ?a)Minimum Height : floor (log n) and Maximum Height : approximately 1.44 log nb)Minimum Height : floor (log n) and Maximum Height : ceil (log n)c)Minimum Height : ceil (log n) and Maximum Height : floor (n/2)d)Minimum Height : approximately 1.44 log n and Maximum Height : floor (n/2)Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev