Software Development Exam > Software Development Questions > What is the time complexity of searching for ...
Start Learning for Free
What is the time complexity of searching for an element in a balanced binary search tree with n elements?
- a)O(1)
- b)O(log n)
- c)O(n)
- d)O(n log n)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What is the time complexity of searching for an element in a balanced ...
In a balanced binary search tree, the height of the tree is logarithmic with respect to the number of elements. Hence, the time complexity of searching for an element in a balanced BST is O(log n).
Most Upvoted Answer
What is the time complexity of searching for an element in a balanced ...
Searching for an element in a balanced binary search tree with n elements has a time complexity of O(log n).
Explanation:
In a balanced binary search tree, each node has at most two children, and the left child is always smaller than the parent node while the right child is always greater. This property allows for efficient searching.
When searching for an element in a binary search tree, we start from the root node and compare the target value with the value of the current node. If the target value is smaller, we move to the left child; if it is greater, we move to the right child. We continue this process until we find the target value or reach a leaf node, which indicates that the element is not present in the tree.
The time complexity of searching in a binary search tree depends on the height of the tree. In a balanced binary search tree, the height is logarithmic with respect to the number of nodes. This is because at each level, the number of nodes doubles, and the maximum height is reached when the tree is perfectly balanced, resulting in a logarithmic height.
Key Points:
- Balanced binary search trees have a logarithmic height.
- The height of a balanced binary search tree is logarithmic with respect to the number of nodes.
- Searching in a binary search tree involves comparing the target value with the current node and moving left or right accordingly.
- The time complexity of searching in a balanced binary search tree is O(log n).
Explanation:
In a balanced binary search tree, each node has at most two children, and the left child is always smaller than the parent node while the right child is always greater. This property allows for efficient searching.
When searching for an element in a binary search tree, we start from the root node and compare the target value with the value of the current node. If the target value is smaller, we move to the left child; if it is greater, we move to the right child. We continue this process until we find the target value or reach a leaf node, which indicates that the element is not present in the tree.
The time complexity of searching in a binary search tree depends on the height of the tree. In a balanced binary search tree, the height is logarithmic with respect to the number of nodes. This is because at each level, the number of nodes doubles, and the maximum height is reached when the tree is perfectly balanced, resulting in a logarithmic height.
Key Points:
- Balanced binary search trees have a logarithmic height.
- The height of a balanced binary search tree is logarithmic with respect to the number of nodes.
- Searching in a binary search tree involves comparing the target value with the current node and moving left or right accordingly.
- The time complexity of searching in a balanced binary search tree is O(log n).
|
Explore Courses for Software Development exam
|
|
Similar Software Development Doubts
Top Courses for Software DevelopmentView all
What is the time complexity of searching for an element in a balanced binary search tree with n elements?a)O(1)b)O(log n)c)O(n)d)O(n log n)Correct answer is option 'B'. Can you explain this answer?
Question Description
What is the time complexity of searching for an element in a balanced binary search tree with n elements?a)O(1)b)O(log n)c)O(n)d)O(n log n)Correct answer is option 'B'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about What is the time complexity of searching for an element in a balanced binary search tree with n elements?a)O(1)b)O(log n)c)O(n)d)O(n log n)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the time complexity of searching for an element in a balanced binary search tree with n elements?a)O(1)b)O(log n)c)O(n)d)O(n log n)Correct answer is option 'B'. Can you explain this answer?.
What is the time complexity of searching for an element in a balanced binary search tree with n elements?a)O(1)b)O(log n)c)O(n)d)O(n log n)Correct answer is option 'B'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about What is the time complexity of searching for an element in a balanced binary search tree with n elements?a)O(1)b)O(log n)c)O(n)d)O(n log n)Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for What is the time complexity of searching for an element in a balanced binary search tree with n elements?a)O(1)b)O(log n)c)O(n)d)O(n log n)Correct answer is option 'B'. Can you explain this answer?.
Solutions for What is the time complexity of searching for an element in a balanced binary search tree with n elements?a)O(1)b)O(log n)c)O(n)d)O(n log n)Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Software Development.
Download more important topics, notes, lectures and mock test series for Software Development Exam by signing up for free.
Here you can find the meaning of What is the time complexity of searching for an element in a balanced binary search tree with n elements?a)O(1)b)O(log n)c)O(n)d)O(n log n)Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
What is the time complexity of searching for an element in a balanced binary search tree with n elements?a)O(1)b)O(log n)c)O(n)d)O(n log n)Correct answer is option 'B'. Can you explain this answer?, a detailed solution for What is the time complexity of searching for an element in a balanced binary search tree with n elements?a)O(1)b)O(log n)c)O(n)d)O(n log n)Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of What is the time complexity of searching for an element in a balanced binary search tree with n elements?a)O(1)b)O(log n)c)O(n)d)O(n log n)Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice What is the time complexity of searching for an element in a balanced binary search tree with n elements?a)O(1)b)O(log n)c)O(n)d)O(n log n)Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice Software Development tests.
|
|
Explore Courses for Software Development exam
|
|
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