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How to Solve Maximize the Distance Between Points on a Square Problem
Master the Maximize the Distance Between Points on a Square LeetCode problem with undetectable real-time assistance. Get instant solutions and explanations during your coding interviews.
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LeetCode ProblemMaximize the Distance Between Points on a Square
You are given an integer side, representing the edge length of a square with corners at (0, 0), (0, side), (side, 0), and (side, side) on a Cartesian plane. You are also given a positive integer k and a 2D integer array points, where points[i] = [xi, yi] represents the coordinate of a point lying on the boundary of the square. You need to select k elements among points such that the minimum Manhattan distance between any two points is maximized. Return the maximum possible minimum Manhattan distance between the selected k points. The Manhattan Distance between two cells (xi, yi) and (xj, yj) is |xi - xj| + |yi - yj|.
ArrayBinary SearchGreedy
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Problem Breakdown
Understanding the Maximize the Distance Between Points on a Square Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
You are given an integer side, representing the edge length of a square with corners at (0, 0), (0, side), (side, 0), and (side, side) on a Cartesian plane. You are also given a positive integer k and a 2D integer array points, where points[i] = [xi, yi] represents the coordinate of a point lying on the boundary of the square. You need to select k elements among points such that the minimum Manhattan distance between any two points is maximized. Return the maximum possible minimum Manhattan distance between the selected k points. The Manhattan Distance between two cells (xi, yi) and (xj, yj) is |xi - xj| + |yi - yj|.
HardProblem #3464
LeetCodeMaximize the Distance Between Points on a Square
Related Topics
ArrayBinary SearchGreedy
How Phantom Code Helps
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Examples
# Example 1
Input
side = 2, points = [[0,2],[2,0],[2,2],[0,0]], k = 4
Output
2
# Example 2
Input
side = 2, points = [[0,0],[1,2],[2,0],[2,2],[2,1]], k = 4
Output
1
# Example 3
Input
side = 2, points = [[0,0],[0,1],[0,2],[1,2],[2,0],[2,2],[2,1]], k = 5
Output
1
Constraints
1 <= side <= 109
4 <= points.length <= min(4 * side, 15 * 103)
points[i] == [xi, yi]
The input is generated such that:
points[i] lies on the boundary of the square.
All points[i] are unique.
points[i] lies on the boundary of the square.
All points[i] are unique.
4 <= k <= min(25, points.length)
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Solve Maximize the Distance Between Points on a Square — You are given an integer side, representing the edge length of a square with cor...
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 Maximize the Distance Between Points on a Square and using Phantom Code during coding interviews.
How does Phantom Code help me solve coding problems like Maximize the Distance Between Points on a Square 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 Maximize the Distance Between Points on a Square?
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 Maximize the Distance Between Points on a Square?
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 Maximize the Distance Between Points on a Square 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 Maximize the Distance Between Points on a Square 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 Maximize the Distance Between Points on a Square 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 Maximize the Distance Between Points on a Square 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 Maximize the Distance Between Points on a Square 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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