What is the maximum depth of a binary tree with 'n' nodes?
Practice Questions
Q1
What is the maximum depth of a binary tree with 'n' nodes?
n
log n
n/2
n - 1
Questions & Step-by-Step Solutions
What is the maximum depth of a binary 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 what 'depth' means. The depth of a binary tree is the number of edges from the root node to the deepest leaf node.
Step 3: Consider the case of a skewed binary tree. A skewed binary tree is one where each node has only one child, either left or right.
Step 4: In a skewed binary tree with 'n' nodes, each node adds one level to the depth. Therefore, if there are 'n' nodes, the maximum depth can be 'n'.
Step 5: Conclude that the maximum depth of a binary tree with 'n' nodes can be 'n' in the case of a skewed tree.
