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How to Solve Binary Tree Maximum Path Sum Problem
Master the Binary Tree Maximum Path Sum LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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Start Free for WindowsHard#124
LeetCode ProblemBinary Tree Maximum Path Sum
A path in a binary tree is a sequence of nodes where each pair of adjacent nodes in the sequence has an edge connecting them. A node can only appear in the sequence at most once. Note that the path does not need to pass through the root. The path sum of a path is the sum of the node's values in the path. Given the root of a binary tree, return the maximum path sum of any non-empty path.
Dynamic ProgrammingTreeDepth-First SearchBinary Tree
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Problem Breakdown
Understanding the Binary Tree Maximum Path Sum Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
A path in a binary tree is a sequence of nodes where each pair of adjacent nodes in the sequence has an edge connecting them. A node can only appear in the sequence at most once. Note that the path does not need to pass through the root. The path sum of a path is the sum of the node's values in the path. Given the root of a binary tree, return the maximum path sum of any non-empty path.
HardProblem #124
LeetCodeBinary Tree Maximum Path Sum
Related Topics
Dynamic ProgrammingTreeDepth-First SearchBinary Tree
How Phantom Code Helps
Get real-time assistance for Binary Tree Maximum Path Sum problems during coding interviews. Phantom Code provides instant solutions and explanations.
Examples
# Example 1
Input
root = [1,2,3]
Output
6
# Example 2
Input
root = [-10,9,20,null,null,15,7]
Output
42
Constraints
The number of nodes in the tree is in the range [1, 3 * 104].
-1000 <= Node.val <= 1000
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Solve Binary Tree Maximum Path Sum — A path in a binary tree is a sequence of nodes where each pair of adjacent nodes...
Here's the optimal approach using Dynamic Programming:
def solve(input):
# Optimal O(n) solution
return result
Time: O(n) | Space: O(n)
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Frequently Asked Questions
Common questions about solving Binary Tree Maximum Path Sum and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Binary Tree Maximum Path Sum during interviews?
Phantom Code generates complete solutions instantly with proper complexity analysis, letting you focus on explaining your approach and demonstrating problem-solving skills rather than getting stuck on implementation details during high-pressure situations.
What if the interviewer asks follow-up questions or modifications to problems like Binary Tree Maximum Path Sum?
Phantom Code adapts in real-time. Screenshot the modified problem or use audio mode to capture the interviewer's follow-up, and get an updated solution within seconds — including edge cases and optimizations.
Can Phantom Code help me communicate my solution for problems like Binary Tree Maximum Path Sum?
Yes. Phantom Code provides step-by-step approach explanations with 3 progressive thoughts, so you can walk through your solution naturally. It also provides time and space complexity analysis to discuss trade-offs.
How does Phantom Code assist with different programming languages for Binary Tree Maximum Path Sum type problems?
Phantom Code supports 11 programming languages including Python, Java, C++, JavaScript, TypeScript, Go, Rust, Ruby, Swift, Kotlin, and C#. Set your preferred language and get idiomatic solutions.
What coding mistakes does Phantom Code help me avoid during Binary Tree Maximum Path Sum interviews?
Phantom Code catches common mistakes like off-by-one errors, missing edge cases, incorrect base conditions, and suboptimal approaches. It provides clean, well-structured code that handles all edge cases.
Is Phantom Code detectable when solving problems like Binary Tree Maximum Path Sum during live interviews?
No. Phantom Code runs as an invisible desktop overlay that doesn't appear in screen shares, recordings, or proctoring software. It works with Zoom, HackerRank, CodeSignal, CoderPad, and all major platforms.
How does Phantom Code help when I'm struggling with Binary Tree Maximum Path Sum style questions under pressure?
The AI provides structured guidance: first the approach (what algorithm/data structure to use and why), then the implementation with clean code, and finally complexity analysis. This helps you think clearly even under pressure.
Does Phantom Code work for the coding platforms used in Binary Tree Maximum Path Sum interviews?
Yes. Phantom Code works with all major coding platforms including LeetCode, HackerRank, CodeSignal, CoderPad, HackerEarth, and any browser-based coding environment.
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