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How to Solve Find the Maximum Sum of Node Values Problem
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Start Free for WindowsHard#3068
LeetCode ProblemFind the Maximum Sum of Node Values
There exists an undirected tree with n nodes numbered 0 to n - 1. You are given a 0-indexed 2D integer array edges of length n - 1, where edges[i] = [ui, vi] indicates that there is an edge between nodes ui and vi in the tree. You are also given a positive integer k, and a 0-indexed array of non-negative integers nums of length n, where nums[i] represents the value of the node numbered i. Alice wants the sum of values of tree nodes to be maximum, for which Alice can perform the following operation any number of times (including zero) on the tree: Return the maximum possible sum of the values Alice can achieve by performing the operation any number of times.
ArrayDynamic ProgrammingGreedyBit ManipulationTreeSorting
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Problem Breakdown
Understanding the Find the Maximum Sum of Node Values Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
There exists an undirected tree with n nodes numbered 0 to n - 1. You are given a 0-indexed 2D integer array edges of length n - 1, where edges[i] = [ui, vi] indicates that there is an edge between nodes ui and vi in the tree. You are also given a positive integer k, and a 0-indexed array of non-negative integers nums of length n, where nums[i] represents the value of the node numbered i. Alice wants the sum of values of tree nodes to be maximum, for which Alice can perform the following operation any number of times (including zero) on the tree: Return the maximum possible sum of the values Alice can achieve by performing the operation any number of times.
HardProblem #3068
LeetCodeFind the Maximum Sum of Node Values
Related Topics
ArrayDynamic ProgrammingGreedyBit ManipulationTreeSorting
How Phantom Code Helps
Get real-time assistance for Find the Maximum Sum of Node Values problems during coding interviews. Phantom Code provides instant solutions and explanations.
Examples
# Example 1
Input
nums = [1,2,1], k = 3, edges = [[0,1],[0,2]]
Output
6
# Example 2
Input
nums = [2,3], k = 7, edges = [[0,1]]
Output
9
# Example 3
Input
nums = [7,7,7,7,7,7], k = 3, edges = [[0,1],[0,2],[0,3],[0,4],[0,5]]
Output
42
Constraints
2 <= n == nums.length <= 2 * 104
1 <= k <= 109
0 <= nums[i] <= 109
edges.length == n - 1
edges[i].length == 2
0 <= edges[i][0], edges[i][1] <= n - 1
The input is generated such that edges represent a valid tree.
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Solve Find the Maximum Sum of Node Values — There exists an undirected tree with n nodes numbered 0 to n - 1. You are given ...
Here's the optimal approach using Array:
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 Find the Maximum Sum of Node Values and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Find the Maximum Sum of Node Values 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 Find the Maximum Sum of Node Values?
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 Find the Maximum Sum of Node Values?
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 Find the Maximum Sum of Node Values 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 Find the Maximum Sum of Node Values 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 Find the Maximum Sum of Node Values 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 Find the Maximum Sum of Node Values 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 Find the Maximum Sum of Node Values 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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