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In a binary tree, what is the time complexity of finding the height of the tree?
Practice Questions
Q1
In a binary tree, what is the time complexity of finding the height of the tree?
O(n)
O(log n)
O(n log n)
O(1)
Questions & Step-by-Step Solutions
In a binary tree, what is the time complexity of finding the height of the tree?
Steps
Concepts
Step 1: Understand what a binary tree is. A binary tree is a structure where each node has at most two children.
Step 2: Know what the height of a binary tree means. The height is the number of edges on the longest path from the root node to a leaf node.
Step 3: Realize that to find the height, we need to check each node in the tree to see how deep it goes.
Step 4: Understand that in the worst case, we might have to visit every single node in the tree to determine the height.
Step 5: Since there are 'n' nodes in the tree, the time it takes to find the height is proportional to 'n'.
Step 6: Therefore, the time complexity of finding the height of a binary tree is O(n).
No concepts available.
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