Maximum Level Sum of a Binary Tree โ€” Algorithm Visualization & Coding Challenge

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Understanding Maximum Level Sum of a Binary Tree
Detailed explanation and reference materials
Problem Overview

๐ŸŒณ Maximum Level Sum of a Binary Tree

Difficulty: ๐ŸŸก Medium
Topics: Binary Tree, BFS, DFS


๐Ÿง  Problem Statement

You are given the root of a binary tree.

  • The root is at level 1
  • Its children are at level 2
  • Their children are at level 3, and so onโ€ฆ

๐Ÿ‘‰ Your task is to find the smallest level x such that the sum of all node values at level x is maximum.


๐Ÿงช Example 1

Input

root = [1,7,0,7,-8,null,null]

Explanation

LevelNodesSum
111
27, 07
37, -8-1

โœ… Maximum sum = 7 at level 2

Output

2

๐Ÿงช Example 2

Input

root = [989,null,10250,98693,-89388,null,null,null,-32127]

Output

2

โš™๏ธ Constraints

  • ๐ŸŒฒ Number of nodes: 1 โ‰ค n โ‰ค 10โด
  • ๐Ÿ”ข Node value range: -10โต โ‰ค Node.val โ‰ค 10โต

๐Ÿ’ก Key Insight

  • Use Level Order Traversal (BFS)
  • Track:
    • Current level
    • Sum of each level
    • Maximum sum seen so far
  • If two levels have the same sum, return the smaller level number

๐Ÿš€ Tip:

Visualizing level-by-level traversal makes this problem much easier to understand. This is a perfect candidate for step-by-step tree visualization!

โ€” Written by Saurabh Patil โ€ข B.Tech CSE โ€ข Software Developer

Categories
binary-trees
bfs
dfs
Category
Reference Link
https://leetcode.com/problems/maximum-level-sum-of-a-binary-tree/

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