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In a binary tree, what is the maximum height of a tree with n nodes?

Practice Questions

Q1
In a binary tree, what is the maximum height of a tree with n nodes?
  1. n
  2. n/2
  3. log n
  4. n-1

Questions & Step-by-Step Solutions

In a binary tree, what is the maximum height of a tree with n nodes?
  • 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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