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In a binary tree, what is the maximum height of a tree with n nodes?
In a binary tree, what is the maximum height of a tree with n nodes?
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Practice Questions
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Q1
In a binary tree, what is the maximum height of a tree with n nodes?
n
n/2
log n
n-1
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The maximum height of a binary tree with n nodes occurs when the tree is skewed, resulting in a height of n-1.
Questions & Step-by-step Solutions
1 item
Q
Q: In a binary tree, what is the maximum height of a tree with n nodes?
Solution:
The maximum height of a binary tree with n nodes occurs when the tree is skewed, resulting in a height of n-1.
Steps: 5
Show Steps
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 that the height of a tree is the number of edges on the longest path from the root to a leaf.
Step 3: Realize that if a binary tree is skewed (like a straight line), it will have the maximum height.
Step 4: In a skewed binary tree with n nodes, each node has only one child, making the height equal to n-1.
Step 5: Conclude that the maximum height of a binary tree with n nodes is n-1.
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