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How to Solve Find Maximum Area of a Triangle Problem
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Medium#3588
LeetCode ProblemFind Maximum Area of a Triangle
You are given a 2D array coords of size n x 2, representing the coordinates of n points in an infinite Cartesian plane. Find twice the maximum area of a triangle with its corners at any three elements from coords, such that at least one side of this triangle is parallel to the x-axis or y-axis. Formally, if the maximum area of such a triangle is A, return 2 * A. If no such triangle exists, return -1. Note that a triangle cannot have zero area.
ArrayHash TableMathGreedyGeometryEnumeration
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Problem Breakdown
Understanding the Find Maximum Area of a Triangle Problem
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Problem Statement
You are given a 2D array coords of size n x 2, representing the coordinates of n points in an infinite Cartesian plane. Find twice the maximum area of a triangle with its corners at any three elements from coords, such that at least one side of this triangle is parallel to the x-axis or y-axis. Formally, if the maximum area of such a triangle is A, return 2 * A. If no such triangle exists, return -1. Note that a triangle cannot have zero area.
MediumProblem #3588
LeetCodeFind Maximum Area of a Triangle
Related Topics
ArrayHash TableMathGreedyGeometryEnumeration
How Phantom Code AI Helps
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Examples
# Example 1
Input
coords = [[1,1],[1,2],[3,2],[3,3]]
Output
2
# Example 2
Input
coords = [[1,1],[2,2],[3,3]]
Output
-1
Constraints
1 <= n == coords.length <= 105
1 <= coords[i][0], coords[i][1] <= 106
All coords[i] are unique.
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Solve Find Maximum Area of a Triangle — You are given a 2D array coords of size n x 2, representing the coordinates of n...
Here's the optimal approach using Array:
def solve(input):
# Optimal O(n) solution
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Time: O(n) | Space: O(n)
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Frequently Asked Questions
Common questions about solving Find Maximum Area of a Triangle and using Phantom Code AI during coding interviews.
How does Phantom Code AI help me solve coding problems like Find Maximum Area of a Triangle during interviews?
Phantom Code AI 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 Maximum Area of a Triangle?
Phantom Code AI 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 AI help me communicate my solution for problems like Find Maximum Area of a Triangle?
Yes. Phantom Code AI 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 AI assist with different programming languages for Find Maximum Area of a Triangle type problems?
Phantom Code AI 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 AI help me avoid during Find Maximum Area of a Triangle interviews?
Phantom Code AI 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 AI detectable when solving problems like Find Maximum Area of a Triangle during live interviews?
No. Phantom Code AI 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 AI help when I'm struggling with Find Maximum Area of a Triangle 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 AI work for the coding platforms used in Find Maximum Area of a Triangle interviews?
Yes. Phantom Code AI works with all major coding platforms including LeetCode, HackerRank, CodeSignal, CoderPad, HackerEarth, and any browser-based coding environment.
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