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How to Solve Maximum Total Importance of Roads Problem
Master the Maximum Total Importance of Roads LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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Start Free for WindowsMedium#2285
LeetCode ProblemMaximum Total Importance of Roads
You are given an integer n denoting the number of cities in a country. The cities are numbered from 0 to n - 1. You are also given a 2D integer array roads where roads[i] = [ai, bi] denotes that there exists a bidirectional road connecting cities ai and bi. You need to assign each city with an integer value from 1 to n, where each value can only be used once. The importance of a road is then defined as the sum of the values of the two cities it connects. Return the maximum total importance of all roads possible after assigning the values optimally.
GreedyGraphSortingHeap (Priority Queue)
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Problem Breakdown
Understanding the Maximum Total Importance of Roads Problem
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Problem Statement
You are given an integer n denoting the number of cities in a country. The cities are numbered from 0 to n - 1. You are also given a 2D integer array roads where roads[i] = [ai, bi] denotes that there exists a bidirectional road connecting cities ai and bi. You need to assign each city with an integer value from 1 to n, where each value can only be used once. The importance of a road is then defined as the sum of the values of the two cities it connects. Return the maximum total importance of all roads possible after assigning the values optimally.
MediumProblem #2285
LeetCodeMaximum Total Importance of Roads
Related Topics
GreedyGraphSortingHeap (Priority Queue)
How Phantom Code Helps
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Examples
# Example 1
Input
n = 5, roads = [[0,1],[1,2],[2,3],[0,2],[1,3],[2,4]]
Output
43
# Example 2
Input
n = 5, roads = [[0,3],[2,4],[1,3]]
Output
20
Constraints
2 <= n <= 5 * 104
1 <= roads.length <= 5 * 104
roads[i].length == 2
0 <= ai, bi <= n - 1
ai != bi
There are no duplicate roads.
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Solve Maximum Total Importance of Roads — You are given an integer n denoting the number of cities in a country. The citie...
Here's the optimal approach using Greedy:
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 Maximum Total Importance of Roads and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Maximum Total Importance of Roads 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 Maximum Total Importance of Roads?
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 Maximum Total Importance of Roads?
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 Maximum Total Importance of Roads 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 Maximum Total Importance of Roads 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 Maximum Total Importance of Roads 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 Maximum Total Importance of Roads 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 Maximum Total Importance of Roads 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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