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Solution: Binary Tree Level Order Traversal

Explore the process of performing a binary tree level order traversal using breadth-first search. Understand two queue-based solutions that efficiently visit nodes level by level, ensuring each node is processed once. This lesson equips you to apply BFS to print tree nodes hierarchically, enhancing your problem-solving skills with tree traversal patterns.

Statement

Given the root of a binary tree, display the values of its nodes while performing a level order traversal. Return the node values for all levels in a string separated by the character :. If the tree is empty, i.e., the number of nodes is 00, then return “None” as the output.

Constraints:

  • The number of nodes in the tree is in the range [0,500][0, 500].

  • 103-10^3 \leq Node.data 103\leq 10^3

Solution

So far, you’ve probably brainstormed some approaches and have an idea of how to solve this problem. Let’s explore some of these approaches and figure out which one to follow based on considerations such as time complexity and any implementation constraints.

Naive approach

The naive approach would be to first calculate the height of the tree and then recursively traverse it, level by level. The printing function would be called for every level in the range [1,hei ...