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What is the time complexity of traversing a binary tree with n nodes?
Practice Questions
Q1
What is the time complexity of traversing a binary tree with n nodes?
O(n)
O(log n)
O(n log n)
O(1)
Questions & Step-by-Step Solutions
What is the time complexity of traversing a binary tree with n nodes?
Steps
Concepts
Step 1: Understand what a binary tree is. A binary tree is a data structure where each node has at most two children.
Step 2: Know that traversing a binary tree means visiting each node in the tree.
Step 3: Realize that to traverse the tree, you need to visit every single node to ensure you have seen all of them.
Step 4: If there are n nodes in the binary tree, you will visit each of those n nodes once.
Step 5: Since you visit each node once, the total time taken is proportional to the number of nodes, which is n.
Step 6: In big O notation, we express this as O(n), meaning the time complexity is linear with respect to the number of nodes.
No concepts available.
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