Count Total Nodes in a Complete Binary Tree
Hard Problems DSA practice problem on Onlearn.
Difficulty: medium.
Topics: Counting the number of nodes in a Complete Binary Tree, Binary Tree, Tree Traversal, In-order Traversal, Recursion, Time Complexity, Space Complexity, Brute Force, Optimization, Algorithm, Height Calculation, complexity analysis, tree properties, binary tree, recursion, tree traversal, Tree Height & Diameter.
Problem Statement: Given a Complete Binary Tree, count and return the total number of nodes in the given tree. A Complete Binary Tree is a binary tree in which all levels are completely filled, except possibly for the last level, and all nodes are as left as possible. Examples: Example 1: Input: Binary Tree with values 1, 2, 3, 4, 5, 6 (represented in a level order like fashion) Root: 1 Left child of 1: 2 Right child of 1: 3 Left child of 2: 4 Right child of 2: 5 Left child of 3: 6 Output: 6 Explanation: There are 6 nodes in this Binary Tree. Example 2: Input: Binary Tree with values 2, 4, 3, 5, 9, 8, 7, 1, 6 Output: 9 Explanation: There are 9 nodes in this Binary Tree.