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HomeLeetCode ProblemsCount Nodes With the Highest Score
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How to Solve Count Nodes With the Highest Score Problem

Master the Count Nodes With the Highest Score LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.

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Medium#2049
LeetCode Problem

Count Nodes With the Highest Score

There is a binary tree rooted at 0 consisting of n nodes. The nodes are labeled from 0 to n - 1. You are given a 0-indexed integer array parents representing the tree, where parents[i] is the parent of node i. Since node 0 is the root, parents[0] == -1. Each node has a score. To find the score of a node, consider if the node and the edges connected to it were removed. The tree would become one or more non-empty subtrees. The size of a subtree is the number of the nodes in it. The score of the node is the product of the sizes of all those subtrees. Return the number of nodes that have the highest score.

ArrayTreeDepth-First SearchBinary Tree

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Problem Breakdown

Understanding the Count Nodes With the Highest Score Problem

Let's break down this LeetCode problem and understand what makes it challenging in interview settings.

Problem Statement

There is a binary tree rooted at 0 consisting of n nodes. The nodes are labeled from 0 to n - 1. You are given a 0-indexed integer array parents representing the tree, where parents[i] is the parent of node i. Since node 0 is the root, parents[0] == -1. Each node has a score. To find the score of a node, consider if the node and the edges connected to it were removed. The tree would become one or more non-empty subtrees. The size of a subtree is the number of the nodes in it. The score of the node is the product of the sizes of all those subtrees. Return the number of nodes that have the highest score.

MediumProblem #2049
LeetCode

Count Nodes With the Highest Score

Related Topics

ArrayTreeDepth-First SearchBinary Tree

How Phantom Code Helps

Get real-time assistance for Count Nodes With the Highest Score problems during coding interviews. Phantom Code provides instant solutions and explanations.

Examples

# Example 1

Input
parents = [-1,2,0,2,0]
Output
3

# Example 2

Input
parents = [-1,2,0]
Output
2

Constraints

n == parents.length
2 <= n <= 105
parents[0] == -1
0 <= parents[i] <= n - 1 for i != 0
parents represents a valid binary tree.

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Solve Count Nodes With the Highest Score — There is a binary tree rooted at 0 consisting of n nodes. The nodes are labeled ...

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 Count Nodes With the Highest Score and using Phantom Code during coding interviews.

How does Phantom Code help me solve coding problems like Count Nodes With the Highest Score 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 Count Nodes With the Highest Score?
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 Count Nodes With the Highest Score?
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 Count Nodes With the Highest Score 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 Count Nodes With the Highest Score 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 Count Nodes With the Highest Score 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 Count Nodes With the Highest Score 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 Count Nodes With the Highest Score 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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