A binary tree is constructed using the following rule: start with a root, then at each step, add two children to the leftmost node that currently has fewer than 2 children. After exactly 7 such addition steps, what is the maximum depth of any node in the resulting tree? Answer: Depth 3 from balanced development
Starting with 1 node (root), each step adds 2 children to the leftmost incomplete node. Step 1: add children to root (3 nodes total). Step 2: add children to leftmost child of root (5 nodes). This process creates a breadth-first construction pattern. After 7 steps adding 14 nodes total, we have 15 nodes arranged in a nearly complete binary tree structure, giving maximum depth 3.
