Recall & Review
beginner
What is the height of a binary tree?
The height of a binary tree is the number of edges on the longest path from the root node to a leaf node. It measures how tall the tree is.
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beginner
How do you calculate the height of a binary tree recursively?
Calculate the height of the left subtree and the right subtree recursively, then take the maximum of these two heights and add 1 for the current node.
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beginner
What is the height of an empty binary tree?
The height of an empty binary tree is defined as -1 because there are no nodes and no edges.
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beginner
Why is the height of a single-node binary tree 0?
Because there are no edges from the root to any leaf (the root itself is the leaf), so the longest path has zero edges.
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intermediate
What is the time complexity of computing the height of a binary tree?
The time complexity is O(n), where n is the number of nodes, because each node is visited once during the height calculation.
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What does the height of a binary tree represent?
✗ Incorrect
The height is the count of edges on the longest path from the root node to any leaf node.
What is the height of an empty binary tree?
✗ Incorrect
By definition, an empty tree has height -1 because it has no nodes or edges.
Which approach is commonly used to find the height of a binary tree?
✗ Incorrect
Recursion is used to calculate the height by checking left and right subtree heights.
If a binary tree has only one node, what is its height?
✗ Incorrect
A single node tree has height 0 because there are no edges.
What is the time complexity to compute the height of a binary tree with n nodes?
✗ Incorrect
Each node is visited once, so the time complexity is O(n).
Explain how to find the height of a binary tree using recursion.
Think about how to combine heights of left and right children.
You got /5 concepts.
Describe the meaning of the height of a binary tree and its edge cases.
Consider what height means for no nodes and one node.
You got /3 concepts.